id	sid	tid	token	lemma	pos
ap-6151	1	1	acta	acta	PROPN
ap-6151	1	2	polytechnica	polytechnica	PROPN
ap-6151	1	3	https://doi.org/10.14311/ap.2021.61.0033	https://doi.org/10.14311/ap.2021.61.0033	PROPN
ap-6151	1	4	acta	acta	PROPN
ap-6151	1	5	polytechnica	polytechnica	PROPN
ap-6151	1	6	61(si):33–48	61(si):33–48	NUM
ap-6151	1	7	,	,	PUNCT
ap-6151	1	8	2021	2021	NUM
ap-6151	1	9	©	©	ADP
ap-6151	1	10	2021	2021	NUM
ap-6151	1	11	the	the	DET
ap-6151	1	12	author(s	author(s	NOUN
ap-6151	1	13	)	)	PUNCT
ap-6151	1	14	.	.	PUNCT
ap-6151	2	1	licensed	license	VERB
ap-6151	2	2	under	under	ADP
ap-6151	2	3	a	a	DET
ap-6151	2	4	cc	cc	NOUN
ap-6151	2	5	-	-	PUNCT
ap-6151	2	6	by	by	ADP
ap-6151	2	7	4.0	4.0	NUM
ap-6151	2	8	licence	licence	NOUN
ap-6151	2	9	published	publish	VERB
ap-6151	2	10	by	by	ADP
ap-6151	2	11	the	the	DET
ap-6151	2	12	czech	czech	PROPN
ap-6151	2	13	technical	technical	PROPN
ap-6151	2	14	university	university	PROPN
ap-6151	2	15	in	in	ADP
ap-6151	2	16	prague	prague	PROPN
ap-6151	2	17	numerical	numerical	PROPN
ap-6151	2	18	simulation	simulation	PROPN
ap-6151	2	19	of	of	ADP
ap-6151	2	20	lid	lid	NOUN
ap-6151	2	21	-	-	PUNCT
ap-6151	2	22	driven	drive	VERB
ap-6151	2	23	cavity	cavity	NOUN
ap-6151	2	24	flow	flow	NOUN
ap-6151	2	25	by	by	ADP
ap-6151	2	26	isogeometric	isogeometric	ADJ
ap-6151	2	27	analysis	analysis	NOUN
ap-6151	2	28	bohumír	bohumír	NOUN
ap-6151	2	29	bastl∗	bastl∗	NOUN
ap-6151	2	30	,	,	PUNCT
ap-6151	2	31	marek	marek	PROPN
ap-6151	2	32	brandner	brandner	NOUN
ap-6151	2	33	,	,	PUNCT
ap-6151	2	34	jiří	jiří	NOUN
ap-6151	2	35	egermaier	egermaier	NOUN
ap-6151	2	36	,	,	PUNCT
ap-6151	2	37	hana	hana	PROPN
ap-6151	2	38	horníková	horníková	PROPN
ap-6151	2	39	,	,	PUNCT
ap-6151	2	40	kristýna	kristýna	PROPN
ap-6151	2	41	michálková	michálková	PROPN
ap-6151	2	42	,	,	PUNCT
ap-6151	2	43	eva	eva	PROPN
ap-6151	2	44	turnerová	turnerová	PROPN
ap-6151	2	45	university	university	PROPN
ap-6151	2	46	of	of	ADP
ap-6151	2	47	west	west	PROPN
ap-6151	2	48	bohemia	bohemia	PROPN
ap-6151	2	49	,	,	PUNCT
ap-6151	2	50	faculty	faculty	NOUN
ap-6151	2	51	of	of	ADP
ap-6151	2	52	applied	apply	VERB
ap-6151	2	53	sciences	science	NOUN
ap-6151	2	54	,	,	PUNCT
ap-6151	2	55	department	department	NOUN
ap-6151	2	56	of	of	ADP
ap-6151	2	57	mathematics	mathematics	PROPN
ap-6151	2	58	and	and	CCONJ
ap-6151	2	59	european	european	ADJ
ap-6151	2	60	centres	centre	NOUN
ap-6151	2	61	of	of	ADP
ap-6151	2	62	excellence	excellence	NOUN
ap-6151	2	63	new	new	ADJ
ap-6151	2	64	technologies	technology	NOUN
ap-6151	2	65	for	for	ADP
ap-6151	2	66	the	the	DET
ap-6151	2	67	information	information	NOUN
ap-6151	2	68	society	society	NOUN
ap-6151	2	69	,	,	PUNCT
ap-6151	2	70	univerzitní	univerzitní	NOUN
ap-6151	2	71	8	8	NUM
ap-6151	2	72	,	,	PUNCT
ap-6151	2	73	301	301	NUM
ap-6151	2	74	00	00	NUM
ap-6151	2	75	,	,	PUNCT
ap-6151	2	76	plzeň	plzeň	ADJ
ap-6151	2	77	,	,	PUNCT
ap-6151	2	78	czech	czech	PROPN
ap-6151	2	79	republic	republic	NOUN
ap-6151	2	80	∗	∗	NOUN
ap-6151	2	81	corresponding	correspond	VERB
ap-6151	2	82	author	author	NOUN
ap-6151	2	83	:	:	PUNCT
ap-6151	2	84	bastl@kma.zcu.cz	bastl@kma.zcu.cz	NOUN
ap-6151	2	85	abstract	abstract	NOUN
ap-6151	2	86	.	.	PUNCT
ap-6151	3	1	in	in	ADP
ap-6151	3	2	this	this	DET
ap-6151	3	3	paper	paper	NOUN
ap-6151	3	4	,	,	PUNCT
ap-6151	3	5	we	we	PRON
ap-6151	3	6	present	present	VERB
ap-6151	3	7	numerical	numerical	ADJ
ap-6151	3	8	results	result	NOUN
ap-6151	3	9	obtained	obtain	VERB
ap-6151	3	10	by	by	ADP
ap-6151	3	11	an	an	DET
ap-6151	3	12	in	in	ADP
ap-6151	3	13	-	-	PUNCT
ap-6151	3	14	house	house	NOUN
ap-6151	3	15	incompressible	incompressible	ADJ
ap-6151	3	16	fluid	fluid	NOUN
ap-6151	3	17	flow	flow	NOUN
ap-6151	3	18	solver	solver	ADV
ap-6151	3	19	based	base	VERB
ap-6151	3	20	on	on	ADP
ap-6151	3	21	isogeometric	isogeometric	ADJ
ap-6151	3	22	analysis	analysis	NOUN
ap-6151	3	23	(	(	PUNCT
ap-6151	3	24	iga	iga	PROPN
ap-6151	3	25	)	)	PUNCT
ap-6151	3	26	for	for	ADP
ap-6151	3	27	the	the	DET
ap-6151	3	28	standard	standard	ADJ
ap-6151	3	29	benchmark	benchmark	NOUN
ap-6151	3	30	problem	problem	NOUN
ap-6151	3	31	for	for	ADP
ap-6151	3	32	incompressible	incompressible	ADJ
ap-6151	3	33	fluid	fluid	ADJ
ap-6151	3	34	flow	flow	NOUN
ap-6151	3	35	simulation	simulation	NOUN
ap-6151	3	36	–	–	PUNCT
ap-6151	3	37	lid	lid	NOUN
ap-6151	3	38	-	-	PUNCT
ap-6151	3	39	driven	drive	VERB
ap-6151	3	40	cavity	cavity	NOUN
ap-6151	3	41	flow	flow	NOUN
ap-6151	3	42	.	.	PUNCT
ap-6151	4	1	the	the	DET
ap-6151	4	2	steady	steady	ADJ
ap-6151	4	3	navier	navier	NOUN
ap-6151	4	4	-	-	PUNCT
ap-6151	4	5	stokes	stoke	NOUN
ap-6151	4	6	equations	equation	NOUN
ap-6151	4	7	are	be	AUX
ap-6151	4	8	solved	solve	VERB
ap-6151	4	9	in	in	ADP
ap-6151	4	10	their	their	PRON
ap-6151	4	11	velocity	velocity	NOUN
ap-6151	4	12	-	-	PUNCT
ap-6151	4	13	pressure	pressure	NOUN
ap-6151	4	14	formulation	formulation	NOUN
ap-6151	4	15	and	and	CCONJ
ap-6151	4	16	we	we	PRON
ap-6151	4	17	consider	consider	VERB
ap-6151	4	18	only	only	ADV
ap-6151	4	19	inf	inf	ADJ
ap-6151	4	20	-	-	PUNCT
ap-6151	4	21	sup	sup	NOUN
ap-6151	4	22	stable	stable	ADJ
ap-6151	4	23	pairs	pair	NOUN
ap-6151	4	24	of	of	ADP
ap-6151	4	25	b	b	NOUN
ap-6151	4	26	-	-	PUNCT
ap-6151	4	27	spline	spline	ADJ
ap-6151	4	28	discretization	discretization	NOUN
ap-6151	4	29	spaces	space	VERB
ap-6151	4	30	.	.	PUNCT
ap-6151	5	1	the	the	DET
ap-6151	5	2	main	main	ADJ
ap-6151	5	3	aim	aim	NOUN
ap-6151	5	4	of	of	ADP
ap-6151	5	5	the	the	DET
ap-6151	5	6	paper	paper	NOUN
ap-6151	5	7	is	be	AUX
ap-6151	5	8	to	to	PART
ap-6151	5	9	compare	compare	VERB
ap-6151	5	10	the	the	DET
ap-6151	5	11	results	result	NOUN
ap-6151	5	12	from	from	ADP
ap-6151	5	13	our	our	PRON
ap-6151	5	14	iga	iga	PROPN
ap-6151	5	15	-	-	PUNCT
ap-6151	5	16	based	base	VERB
ap-6151	5	17	flow	flow	NOUN
ap-6151	5	18	solver	solver	VERB
ap-6151	5	19	with	with	ADP
ap-6151	5	20	the	the	DET
ap-6151	5	21	results	result	NOUN
ap-6151	5	22	obtained	obtain	VERB
ap-6151	5	23	by	by	ADP
ap-6151	5	24	a	a	DET
ap-6151	5	25	standard	standard	ADJ
ap-6151	5	26	package	package	NOUN
ap-6151	5	27	based	base	VERB
ap-6151	5	28	on	on	ADP
ap-6151	5	29	finite	finite	ADJ
ap-6151	5	30	element	element	NOUN
ap-6151	5	31	method	method	NOUN
ap-6151	5	32	with	with	ADP
ap-6151	5	33	respect	respect	NOUN
ap-6151	5	34	to	to	ADP
ap-6151	5	35	degrees	degree	NOUN
ap-6151	5	36	of	of	ADP
ap-6151	5	37	freedom	freedom	NOUN
ap-6151	5	38	and	and	CCONJ
ap-6151	5	39	stability	stability	NOUN
ap-6151	5	40	of	of	ADP
ap-6151	5	41	the	the	DET
ap-6151	5	42	solution	solution	NOUN
ap-6151	5	43	.	.	PUNCT
ap-6151	6	1	further	far	ADV
ap-6151	6	2	,	,	PUNCT
ap-6151	6	3	the	the	DET
ap-6151	6	4	effectiveness	effectiveness	NOUN
ap-6151	6	5	of	of	ADP
ap-6151	6	6	the	the	DET
ap-6151	6	7	recently	recently	ADV
ap-6151	6	8	introduced	introduce	VERB
ap-6151	6	9	riga	riga	ADJ
ap-6151	6	10	method	method	NOUN
ap-6151	6	11	for	for	SCONJ
ap-6151	6	12	the	the	DET
ap-6151	6	13	steady	steady	ADJ
ap-6151	6	14	navier	navier	NOUN
ap-6151	6	15	-	-	PUNCT
ap-6151	6	16	stokes	stoke	NOUN
ap-6151	6	17	equations	equation	NOUN
ap-6151	6	18	is	be	AUX
ap-6151	6	19	studied	study	VERB
ap-6151	6	20	.	.	PUNCT
ap-6151	7	1	the	the	DET
ap-6151	7	2	authors	author	NOUN
ap-6151	7	3	dedicate	dedicate	VERB
ap-6151	7	4	the	the	DET
ap-6151	7	5	paper	paper	NOUN
ap-6151	7	6	to	to	ADP
ap-6151	7	7	professor	professor	PROPN
ap-6151	7	8	k.	k.	PROPN
ap-6151	7	9	kozel	kozel	PROPN
ap-6151	7	10	on	on	ADP
ap-6151	7	11	the	the	DET
ap-6151	7	12	occasion	occasion	NOUN
ap-6151	7	13	of	of	ADP
ap-6151	7	14	his	his	PRON
ap-6151	7	15	80th	80th	ADJ
ap-6151	7	16	birthday	birthday	NOUN
ap-6151	7	17	.	.	PUNCT
ap-6151	8	1	keywords	keyword	NOUN
ap-6151	8	2	:	:	PUNCT
ap-6151	8	3	isogeometric	isogeometric	ADJ
ap-6151	8	4	analysis	analysis	NOUN
ap-6151	8	5	,	,	PUNCT
ap-6151	8	6	fluid	fluid	ADJ
ap-6151	8	7	flow	flow	NOUN
ap-6151	8	8	simulation	simulation	NOUN
ap-6151	8	9	,	,	PUNCT
ap-6151	8	10	b	b	NOUN
ap-6151	8	11	-	-	PUNCT
ap-6151	8	12	splines	spline	NOUN
ap-6151	8	13	,	,	PUNCT
ap-6151	8	14	navier	navier	NOUN
ap-6151	8	15	-	-	PUNCT
ap-6151	8	16	stokes	stoke	NOUN
ap-6151	8	17	equations	equation	NOUN
ap-6151	8	18	.	.	PUNCT
ap-6151	9	1	1	1	X
ap-6151	9	2	.	.	X
ap-6151	9	3	introduction	introduction	NOUN
ap-6151	9	4	the	the	DET
ap-6151	9	5	fluid	fluid	ADJ
ap-6151	9	6	flow	flow	NOUN
ap-6151	9	7	simulation	simulation	NOUN
ap-6151	9	8	is	be	AUX
ap-6151	9	9	one	one	NUM
ap-6151	9	10	of	of	ADP
ap-6151	9	11	the	the	DET
ap-6151	9	12	fundamental	fundamental	ADJ
ap-6151	9	13	problems	problem	NOUN
ap-6151	9	14	solved	solve	VERB
ap-6151	9	15	in	in	ADP
ap-6151	9	16	engineering	engineering	NOUN
ap-6151	9	17	practice	practice	NOUN
ap-6151	9	18	.	.	PUNCT
ap-6151	10	1	during	during	ADP
ap-6151	10	2	the	the	DET
ap-6151	10	3	history	history	NOUN
ap-6151	10	4	,	,	PUNCT
ap-6151	10	5	many	many	ADJ
ap-6151	10	6	different	different	ADJ
ap-6151	10	7	numerical	numerical	ADJ
ap-6151	10	8	methods	method	NOUN
ap-6151	10	9	were	be	AUX
ap-6151	10	10	proposed	propose	VERB
ap-6151	10	11	to	to	PART
ap-6151	10	12	solve	solve	VERB
ap-6151	10	13	this	this	DET
ap-6151	10	14	extremely	extremely	ADV
ap-6151	10	15	challenging	challenging	ADJ
ap-6151	10	16	problem	problem	NOUN
ap-6151	10	17	,	,	PUNCT
ap-6151	10	18	ranging	range	VERB
ap-6151	10	19	from	from	ADP
ap-6151	10	20	finite	finite	ADJ
ap-6151	10	21	difference	difference	NOUN
ap-6151	10	22	methods	method	NOUN
ap-6151	10	23	(	(	PUNCT
ap-6151	10	24	fdm	fdm	NOUN
ap-6151	10	25	)	)	PUNCT
ap-6151	10	26	,	,	PUNCT
ap-6151	10	27	through	through	ADP
ap-6151	10	28	finite	finite	ADJ
ap-6151	10	29	volume	volume	NOUN
ap-6151	10	30	methods	method	NOUN
ap-6151	10	31	(	(	PUNCT
ap-6151	10	32	fvm	fvm	ADV
ap-6151	10	33	)	)	PUNCT
ap-6151	10	34	to	to	PART
ap-6151	10	35	finite	finite	VERB
ap-6151	10	36	element	element	NOUN
ap-6151	10	37	methods	method	NOUN
ap-6151	10	38	(	(	PUNCT
ap-6151	10	39	fem	fem	PROPN
ap-6151	10	40	)	)	PUNCT
ap-6151	10	41	with	with	ADP
ap-6151	10	42	many	many	ADJ
ap-6151	10	43	variants	variant	NOUN
ap-6151	10	44	of	of	ADP
ap-6151	10	45	these	these	DET
ap-6151	10	46	methods	method	NOUN
ap-6151	10	47	(	(	PUNCT
ap-6151	10	48	see	see	VERB
ap-6151	10	49	e.g.	e.g.	ADV
ap-6151	10	50	[	[	X
ap-6151	10	51	1–3	1–3	NOUN
ap-6151	10	52	]	]	X
ap-6151	10	53	)	)	PUNCT
ap-6151	10	54	.	.	PUNCT
ap-6151	11	1	relatively	relatively	ADV
ap-6151	11	2	recently	recently	ADV
ap-6151	11	3	,	,	PUNCT
ap-6151	11	4	hughes	hughes	PROPN
ap-6151	11	5	et	et	PROPN
ap-6151	11	6	al	al	PROPN
ap-6151	11	7	.	.	PUNCT
ap-6151	12	1	(	(	PUNCT
ap-6151	12	2	see	see	VERB
ap-6151	12	3	[	[	X
ap-6151	12	4	4	4	NUM
ap-6151	12	5	,	,	PUNCT
ap-6151	12	6	5	5	NUM
ap-6151	12	7	]	]	PUNCT
ap-6151	12	8	)	)	PUNCT
ap-6151	12	9	introduced	introduce	VERB
ap-6151	12	10	a	a	DET
ap-6151	12	11	powerful	powerful	ADJ
ap-6151	12	12	numerical	numerical	ADJ
ap-6151	12	13	method	method	NOUN
ap-6151	12	14	for	for	ADP
ap-6151	12	15	solving	solve	VERB
ap-6151	12	16	partial	partial	ADJ
ap-6151	12	17	differential	differential	ADJ
ap-6151	12	18	equations	equation	NOUN
ap-6151	12	19	called	call	VERB
ap-6151	12	20	isogeometric	isogeometric	ADJ
ap-6151	12	21	analysis	analysis	NOUN
ap-6151	12	22	(	(	PUNCT
ap-6151	12	23	iga	iga	PROPN
ap-6151	12	24	)	)	PUNCT
ap-6151	12	25	.	.	PUNCT
ap-6151	13	1	this	this	DET
ap-6151	13	2	method	method	NOUN
ap-6151	13	3	has	have	VERB
ap-6151	13	4	many	many	ADJ
ap-6151	13	5	features	feature	NOUN
ap-6151	13	6	common	common	ADJ
ap-6151	13	7	with	with	ADP
ap-6151	13	8	fem	fem	NOUN
ap-6151	13	9	and	and	CCONJ
ap-6151	13	10	the	the	DET
ap-6151	13	11	main	main	ADJ
ap-6151	13	12	motivation	motivation	NOUN
ap-6151	13	13	is	be	AUX
ap-6151	13	14	to	to	PART
ap-6151	13	15	bridge	bridge	VERB
ap-6151	13	16	the	the	DET
ap-6151	13	17	gap	gap	NOUN
ap-6151	13	18	between	between	ADP
ap-6151	13	19	geometric	geometric	ADJ
ap-6151	13	20	modelling	modelling	NOUN
ap-6151	13	21	(	(	PUNCT
ap-6151	13	22	computer	computer	NOUN
ap-6151	13	23	-	-	PUNCT
ap-6151	13	24	aided	aid	VERB
ap-6151	13	25	design	design	NOUN
ap-6151	13	26	–	–	PUNCT
ap-6151	13	27	cad	cad	NOUN
ap-6151	13	28	)	)	PUNCT
ap-6151	13	29	and	and	CCONJ
ap-6151	13	30	numerical	numerical	PROPN
ap-6151	13	31	simulation	simulation	PROPN
ap-6151	13	32	(	(	PUNCT
ap-6151	13	33	finite	finite	PROPN
ap-6151	13	34	element	element	NOUN
ap-6151	13	35	analysis	analysis	NOUN
ap-6151	13	36	–	–	PUNCT
ap-6151	13	37	fea	fea	NOUN
ap-6151	13	38	)	)	PUNCT
ap-6151	13	39	.	.	PUNCT
ap-6151	14	1	optimally	optimally	ADV
ap-6151	14	2	,	,	PUNCT
ap-6151	14	3	one	one	PRON
ap-6151	14	4	would	would	AUX
ap-6151	14	5	like	like	VERB
ap-6151	14	6	to	to	PART
ap-6151	14	7	use	use	VERB
ap-6151	14	8	directly	directly	ADV
ap-6151	14	9	the	the	DET
ap-6151	14	10	description	description	NOUN
ap-6151	14	11	of	of	ADP
ap-6151	14	12	an	an	DET
ap-6151	14	13	object	object	NOUN
ap-6151	14	14	in	in	ADP
ap-6151	14	15	cad	cad	NOUN
ap-6151	14	16	system	system	NOUN
ap-6151	14	17	also	also	ADV
ap-6151	14	18	for	for	ADP
ap-6151	14	19	numerical	numerical	ADJ
ap-6151	14	20	simulations	simulation	NOUN
ap-6151	14	21	.	.	PUNCT
ap-6151	15	1	however	however	ADV
ap-6151	15	2	,	,	PUNCT
ap-6151	15	3	this	this	PRON
ap-6151	15	4	is	be	AUX
ap-6151	15	5	not	not	PART
ap-6151	15	6	possible	possible	ADJ
ap-6151	15	7	with	with	ADP
ap-6151	15	8	the	the	DET
ap-6151	15	9	standard	standard	ADJ
ap-6151	15	10	approaches	approach	NOUN
ap-6151	15	11	(	(	PUNCT
ap-6151	15	12	fdm	fdm	NOUN
ap-6151	15	13	,	,	PUNCT
ap-6151	15	14	fvm	fvm	ADJ
ap-6151	15	15	,	,	PUNCT
ap-6151	15	16	fem	fem	NOUN
ap-6151	15	17	)	)	PUNCT
ap-6151	15	18	since	since	SCONJ
ap-6151	15	19	they	they	PRON
ap-6151	15	20	require	require	VERB
ap-6151	15	21	the	the	DET
ap-6151	15	22	construction	construction	NOUN
ap-6151	15	23	of	of	ADP
ap-6151	15	24	some	some	DET
ap-6151	15	25	computational	computational	ADJ
ap-6151	15	26	mesh	mesh	NOUN
ap-6151	15	27	(	(	PUNCT
ap-6151	15	28	typically	typically	ADV
ap-6151	15	29	,	,	PUNCT
ap-6151	15	30	triangular	triangular	NOUN
ap-6151	15	31	/	/	SYM
ap-6151	15	32	quadrilateral	quadrilateral	ADJ
ap-6151	15	33	meshes	mesh	NOUN
ap-6151	15	34	for	for	ADP
ap-6151	15	35	2d	2d	NOUN
ap-6151	15	36	problems	problem	NOUN
ap-6151	15	37	and	and	CCONJ
ap-6151	15	38	tetrahedral	tetrahedral	ADJ
ap-6151	15	39	/	/	SYM
ap-6151	15	40	hexahedral	hexahedral	NOUN
ap-6151	15	41	for	for	ADP
ap-6151	15	42	3d	3d	PROPN
ap-6151	15	43	problems	problem	NOUN
ap-6151	15	44	)	)	PUNCT
ap-6151	15	45	which	which	PRON
ap-6151	15	46	is	be	AUX
ap-6151	15	47	,	,	PUNCT
ap-6151	15	48	moreover	moreover	ADV
ap-6151	15	49	,	,	PUNCT
ap-6151	15	50	only	only	ADV
ap-6151	15	51	an	an	DET
ap-6151	15	52	approximation	approximation	NOUN
ap-6151	15	53	of	of	ADP
ap-6151	15	54	the	the	DET
ap-6151	15	55	original	original	ADJ
ap-6151	15	56	computational	computational	ADJ
ap-6151	15	57	domain	domain	NOUN
ap-6151	15	58	.	.	PUNCT
ap-6151	16	1	the	the	DET
ap-6151	16	2	isogeometric	isogeometric	ADJ
ap-6151	16	3	analysis	analysis	NOUN
ap-6151	16	4	is	be	AUX
ap-6151	16	5	based	base	VERB
ap-6151	16	6	on	on	ADP
ap-6151	16	7	an	an	DET
ap-6151	16	8	isoparametric	isoparametric	ADJ
ap-6151	16	9	framework	framework	NOUN
ap-6151	16	10	,	,	PUNCT
ap-6151	16	11	i.e.	i.e.	X
ap-6151	16	12	,	,	PUNCT
ap-6151	16	13	the	the	DET
ap-6151	16	14	same	same	ADJ
ap-6151	16	15	basis	basis	NOUN
ap-6151	16	16	functions	function	NOUN
ap-6151	16	17	are	be	AUX
ap-6151	16	18	used	use	VERB
ap-6151	16	19	for	for	ADP
ap-6151	16	20	representation	representation	NOUN
ap-6151	16	21	of	of	ADP
ap-6151	16	22	the	the	DET
ap-6151	16	23	geometry	geometry	NOUN
ap-6151	16	24	and	and	CCONJ
ap-6151	16	25	for	for	ADP
ap-6151	16	26	the	the	DET
ap-6151	16	27	solution	solution	NOUN
ap-6151	16	28	space	space	NOUN
ap-6151	16	29	.	.	PUNCT
ap-6151	17	1	currently	currently	ADV
ap-6151	17	2	,	,	PUNCT
ap-6151	17	3	the	the	DET
ap-6151	17	4	de	de	X
ap-6151	17	5	facto	facto	X
ap-6151	17	6	industrial	industrial	ADJ
ap-6151	17	7	standard	standard	NOUN
ap-6151	17	8	for	for	ADP
ap-6151	17	9	representation	representation	NOUN
ap-6151	17	10	of	of	ADP
ap-6151	17	11	complex	complex	ADJ
ap-6151	17	12	objects	object	NOUN
ap-6151	17	13	in	in	ADP
ap-6151	17	14	cad	cad	PROPN
ap-6151	17	15	systems	system	NOUN
ap-6151	17	16	are	be	AUX
ap-6151	17	17	non	non	ADJ
ap-6151	17	18	-	-	ADJ
ap-6151	17	19	uniform	uniform	ADJ
ap-6151	17	20	rational	rational	ADJ
ap-6151	17	21	b	b	NOUN
ap-6151	17	22	-	-	PUNCT
ap-6151	17	23	spline	spline	NOUN
ap-6151	17	24	(	(	PUNCT
ap-6151	17	25	nurbs	nurb	NOUN
ap-6151	17	26	)	)	PUNCT
ap-6151	17	27	objects	object	NOUN
ap-6151	17	28	(	(	PUNCT
ap-6151	17	29	see	see	VERB
ap-6151	17	30	[	[	X
ap-6151	17	31	6	6	NUM
ap-6151	17	32	]	]	NUM
ap-6151	17	33	)	)	PUNCT
ap-6151	17	34	.	.	PUNCT
ap-6151	18	1	this	this	PRON
ap-6151	18	2	is	be	AUX
ap-6151	18	3	the	the	DET
ap-6151	18	4	reason	reason	NOUN
ap-6151	18	5	why	why	SCONJ
ap-6151	18	6	isogeometric	isogeometric	ADJ
ap-6151	18	7	analysis	analysis	NOUN
ap-6151	18	8	was	be	AUX
ap-6151	18	9	formulated	formulate	VERB
ap-6151	18	10	specifically	specifically	ADV
ap-6151	18	11	for	for	ADP
ap-6151	18	12	this	this	DET
ap-6151	18	13	class	class	NOUN
ap-6151	18	14	of	of	ADP
ap-6151	18	15	objects	object	NOUN
ap-6151	18	16	.	.	PUNCT
ap-6151	19	1	they	they	PRON
ap-6151	19	2	allow	allow	VERB
ap-6151	19	3	for	for	ADP
ap-6151	19	4	the	the	DET
ap-6151	19	5	exact	exact	ADJ
ap-6151	19	6	representation	representation	NOUN
ap-6151	19	7	of	of	ADP
ap-6151	19	8	a	a	DET
ap-6151	19	9	wide	wide	ADJ
ap-6151	19	10	variety	variety	NOUN
ap-6151	19	11	of	of	ADP
ap-6151	19	12	complex	complex	ADJ
ap-6151	19	13	shapes	shape	NOUN
ap-6151	19	14	in	in	ADP
ap-6151	19	15	a	a	DET
ap-6151	19	16	compact	compact	ADJ
ap-6151	19	17	form	form	NOUN
ap-6151	19	18	,	,	PUNCT
ap-6151	19	19	i.e.	i.e.	X
ap-6151	19	20	,	,	PUNCT
ap-6151	19	21	by	by	ADP
ap-6151	19	22	a	a	DET
ap-6151	19	23	small	small	ADJ
ap-6151	19	24	number	number	NOUN
ap-6151	19	25	of	of	ADP
ap-6151	19	26	control	control	NOUN
ap-6151	19	27	points	point	NOUN
ap-6151	19	28	.	.	PUNCT
ap-6151	20	1	even	even	ADV
ap-6151	20	2	though	though	SCONJ
ap-6151	20	3	the	the	DET
ap-6151	20	4	nurbs	nurbs	NOUN
ap-6151	20	5	description	description	NOUN
ap-6151	20	6	of	of	ADP
ap-6151	20	7	an	an	DET
ap-6151	20	8	object	object	NOUN
ap-6151	20	9	in	in	ADP
ap-6151	20	10	cad	cad	NOUN
ap-6151	20	11	system	system	NOUN
ap-6151	20	12	can	can	AUX
ap-6151	20	13	be	be	AUX
ap-6151	20	14	used	use	VERB
ap-6151	20	15	directly	directly	ADV
ap-6151	20	16	for	for	ADP
ap-6151	20	17	numerical	numerical	ADJ
ap-6151	20	18	simulations	simulation	NOUN
ap-6151	20	19	only	only	ADV
ap-6151	20	20	in	in	ADP
ap-6151	20	21	case	case	NOUN
ap-6151	20	22	when	when	SCONJ
ap-6151	20	23	iga	iga	PROPN
ap-6151	20	24	-	-	PUNCT
ap-6151	20	25	bem	bem	PROPN
ap-6151	20	26	(	(	PUNCT
ap-6151	20	27	the	the	DET
ap-6151	20	28	isogeometric	isogeometric	ADJ
ap-6151	20	29	formulation	formulation	NOUN
ap-6151	20	30	of	of	ADP
ap-6151	20	31	boundary	boundary	ADJ
ap-6151	20	32	element	element	NOUN
ap-6151	20	33	method	method	NOUN
ap-6151	20	34	,	,	PUNCT
ap-6151	20	35	see	see	VERB
ap-6151	21	1	e.g.	e.g.	ADV
ap-6151	21	2	[	[	X
ap-6151	21	3	7	7	NUM
ap-6151	21	4	]	]	PUNCT
ap-6151	21	5	)	)	PUNCT
ap-6151	21	6	is	be	AUX
ap-6151	21	7	used	use	VERB
ap-6151	21	8	,	,	PUNCT
ap-6151	21	9	the	the	DET
ap-6151	21	10	exact	exact	ADJ
ap-6151	21	11	nurbs	nurb	NOUN
ap-6151	21	12	representation	representation	NOUN
ap-6151	21	13	is	be	AUX
ap-6151	21	14	still	still	ADV
ap-6151	21	15	beneficial	beneficial	ADJ
ap-6151	21	16	.	.	PUNCT
ap-6151	22	1	many	many	ADJ
ap-6151	22	2	methods	method	NOUN
ap-6151	22	3	providing	provide	VERB
ap-6151	22	4	geometrically	geometrically	ADV
ap-6151	22	5	exact	exact	ADJ
ap-6151	22	6	bivariate	bivariate	ADJ
ap-6151	22	7	/	/	SYM
ap-6151	22	8	trivariate	trivariate	NOUN
ap-6151	22	9	nurbs	nurbs	NOUN
ap-6151	22	10	representation	representation	NOUN
ap-6151	22	11	of	of	ADP
ap-6151	22	12	planar	planar	ADJ
ap-6151	22	13	/	/	SYM
ap-6151	22	14	spatial	spatial	ADJ
ap-6151	22	15	domains	domain	NOUN
ap-6151	22	16	,	,	PUNCT
ap-6151	22	17	respectively	respectively	ADV
ap-6151	22	18	,	,	PUNCT
ap-6151	22	19	from	from	ADP
ap-6151	22	20	its	its	PRON
ap-6151	22	21	boundary	boundary	NOUN
ap-6151	22	22	were	be	AUX
ap-6151	22	23	proposed	propose	VERB
ap-6151	22	24	in	in	ADP
ap-6151	22	25	the	the	DET
ap-6151	22	26	last	last	ADJ
ap-6151	22	27	years	year	NOUN
ap-6151	22	28	(	(	PUNCT
ap-6151	22	29	see	see	VERB
ap-6151	22	30	e.g.	e.g.	ADV
ap-6151	22	31	[	[	X
ap-6151	22	32	8–13	8–13	NOUN
ap-6151	22	33	]	]	PUNCT
ap-6151	22	34	)	)	PUNCT
ap-6151	22	35	.	.	PUNCT
ap-6151	23	1	such	such	ADJ
ap-6151	23	2	nurbs	nurbs	NOUN
ap-6151	23	3	representations	representation	NOUN
ap-6151	23	4	then	then	ADV
ap-6151	23	5	serve	serve	VERB
ap-6151	23	6	as	as	ADP
ap-6151	23	7	computational	computational	ADJ
ap-6151	23	8	meshes	mesh	NOUN
ap-6151	23	9	used	use	VERB
ap-6151	23	10	in	in	ADP
ap-6151	23	11	solvers	solver	NOUN
ap-6151	23	12	based	base	VERB
ap-6151	23	13	on	on	ADP
ap-6151	23	14	isogeometric	isogeometric	ADJ
ap-6151	23	15	analysis	analysis	NOUN
ap-6151	23	16	.	.	PUNCT
ap-6151	24	1	other	other	ADJ
ap-6151	24	2	advantages	advantage	NOUN
ap-6151	24	3	of	of	ADP
ap-6151	24	4	the	the	DET
ap-6151	24	5	isogeometric	isogeometric	ADJ
ap-6151	24	6	analysis	analysis	NOUN
ap-6151	24	7	include	include	VERB
ap-6151	24	8	e.g.	e.g.	ADV
ap-6151	24	9	higher	high	ADJ
ap-6151	24	10	accuracy	accuracy	NOUN
ap-6151	24	11	of	of	ADP
ap-6151	24	12	the	the	DET
ap-6151	24	13	solution	solution	NOUN
ap-6151	24	14	with	with	ADP
ap-6151	24	15	respect	respect	NOUN
ap-6151	24	16	to	to	ADP
ap-6151	24	17	a	a	DET
ap-6151	24	18	degree	degree	NOUN
ap-6151	24	19	of	of	ADP
ap-6151	24	20	freedom	freedom	NOUN
ap-6151	24	21	(	(	PUNCT
ap-6151	24	22	[	[	X
ap-6151	24	23	14	14	NUM
ap-6151	24	24	]	]	SYM
ap-6151	24	25	)	)	PUNCT
ap-6151	24	26	or	or	CCONJ
ap-6151	24	27	favourableness	favourableness	NOUN
ap-6151	24	28	of	of	ADP
ap-6151	24	29	higher	high	ADJ
ap-6151	24	30	continuity	continuity	NOUN
ap-6151	24	31	of	of	ADP
ap-6151	24	32	nurbs	nurbs	NOUN
ap-6151	24	33	basis	basis	NOUN
ap-6151	24	34	functions	function	NOUN
ap-6151	24	35	for	for	ADP
ap-6151	24	36	solving	solve	VERB
ap-6151	24	37	higher	high	ADJ
ap-6151	24	38	order	order	NOUN
ap-6151	24	39	pdes	pde	NOUN
ap-6151	24	40	(	(	PUNCT
ap-6151	24	41	[	[	X
ap-6151	24	42	15	15	NUM
ap-6151	24	43	]	]	NUM
ap-6151	24	44	)	)	PUNCT
ap-6151	24	45	.	.	PUNCT
ap-6151	25	1	from	from	ADP
ap-6151	25	2	a	a	DET
ap-6151	25	3	practical	practical	ADJ
ap-6151	25	4	point	point	NOUN
ap-6151	25	5	of	of	ADP
ap-6151	25	6	view	view	NOUN
ap-6151	25	7	,	,	PUNCT
ap-6151	25	8	a	a	DET
ap-6151	25	9	typical	typical	ADJ
ap-6151	25	10	implementation	implementation	NOUN
ap-6151	25	11	of	of	ADP
ap-6151	25	12	iga	iga	PROPN
ap-6151	25	13	-	-	PUNCT
ap-6151	25	14	based	base	VERB
ap-6151	25	15	solver	solver	NOUN
ap-6151	25	16	automatically	automatically	ADV
ap-6151	25	17	allows	allow	VERB
ap-6151	25	18	for	for	ADP
ap-6151	25	19	basis	basis	NOUN
ap-6151	25	20	functions	function	NOUN
ap-6151	25	21	of	of	ADP
ap-6151	25	22	the	the	DET
ap-6151	25	23	geometry	geometry	NOUN
ap-6151	25	24	and	and	CCONJ
ap-6151	25	25	the	the	DET
ap-6151	25	26	solution	solution	NOUN
ap-6151	25	27	space	space	NOUN
ap-6151	25	28	of	of	ADP
ap-6151	25	29	any	any	DET
ap-6151	25	30	degree	degree	NOUN
ap-6151	25	31	and	and	CCONJ
ap-6151	25	32	continuity	continuity	NOUN
ap-6151	25	33	,	,	PUNCT
ap-6151	25	34	without	without	ADP
ap-6151	25	35	any	any	DET
ap-6151	25	36	additional	additional	ADJ
ap-6151	25	37	effort	effort	NOUN
ap-6151	25	38	needed	need	VERB
ap-6151	25	39	for	for	ADP
ap-6151	25	40	implementing	implement	VERB
ap-6151	25	41	the	the	DET
ap-6151	25	42	solver	solver	NOUN
ap-6151	25	43	.	.	PUNCT
ap-6151	26	1	this	this	PRON
ap-6151	26	2	is	be	AUX
ap-6151	26	3	typically	typically	ADV
ap-6151	26	4	not	not	PART
ap-6151	26	5	the	the	DET
ap-6151	26	6	case	case	NOUN
ap-6151	26	7	for	for	ADP
ap-6151	26	8	codes	code	NOUN
ap-6151	26	9	based	base	VERB
ap-6151	26	10	on	on	ADP
ap-6151	26	11	fem	fem	PROPN
ap-6151	26	12	,	,	PUNCT
ap-6151	26	13	where	where	SCONJ
ap-6151	26	14	in	in	ADP
ap-6151	26	15	p	p	NOUN
ap-6151	26	16	-	-	PUNCT
ap-6151	26	17	version	version	NOUN
ap-6151	26	18	of	of	ADP
ap-6151	26	19	fem	fem	NOUN
ap-6151	26	20	each	each	DET
ap-6151	26	21	degree	degree	NOUN
ap-6151	26	22	of	of	ADP
ap-6151	26	23	the	the	DET
ap-6151	26	24	basis	basis	NOUN
ap-6151	26	25	functions	function	NOUN
ap-6151	26	26	of	of	ADP
ap-6151	26	27	the	the	DET
ap-6151	26	28	solution	solution	NOUN
ap-6151	26	29	space	space	NOUN
ap-6151	26	30	needs	need	VERB
ap-6151	26	31	to	to	PART
ap-6151	26	32	be	be	AUX
ap-6151	26	33	added	add	VERB
ap-6151	26	34	/	/	PUNCT
ap-6151	26	35	implemented	implement	VERB
ap-6151	26	36	individually	individually	ADV
ap-6151	26	37	.	.	PUNCT
ap-6151	27	1	because	because	SCONJ
ap-6151	27	2	of	of	ADP
ap-6151	27	3	many	many	ADJ
ap-6151	27	4	advantages	advantage	NOUN
ap-6151	27	5	of	of	ADP
ap-6151	27	6	the	the	DET
ap-6151	27	7	iga	iga	PROPN
ap-6151	27	8	,	,	PUNCT
ap-6151	27	9	the	the	DET
ap-6151	27	10	method	method	NOUN
ap-6151	27	11	has	have	AUX
ap-6151	27	12	been	be	AUX
ap-6151	27	13	successfully	successfully	ADV
ap-6151	27	14	applied	apply	VERB
ap-6151	27	15	in	in	ADP
ap-6151	27	16	various	various	ADJ
ap-6151	27	17	practical	practical	ADJ
ap-6151	27	18	problems	problem	NOUN
ap-6151	27	19	,	,	PUNCT
ap-6151	27	20	like	like	ADP
ap-6151	27	21	linear	linear	PROPN
ap-6151	27	22	elasticity	elasticity	NOUN
ap-6151	27	23	,	,	PUNCT
ap-6151	27	24	structural	structural	ADJ
ap-6151	27	25	vibrations	vibration	NOUN
ap-6151	27	26	,	,	PUNCT
ap-6151	27	27	phase	phase	NOUN
ap-6151	27	28	transition	transition	NOUN
ap-6151	27	29	phenomena	phenomenon	NOUN
ap-6151	27	30	,	,	PUNCT
ap-6151	27	31	fluid	fluid	ADJ
ap-6151	27	32	flow	flow	NOUN
ap-6151	27	33	simulation	simulation	NOUN
ap-6151	27	34	,	,	PUNCT
ap-6151	27	35	plate	plate	NOUN
ap-6151	27	36	and	and	CCONJ
ap-6151	27	37	shell	shell	ADJ
ap-6151	27	38	analysis	analysis	NOUN
ap-6151	27	39	,	,	PUNCT
ap-6151	27	40	heat	heat	NOUN
ap-6151	27	41	transfer	transfer	NOUN
ap-6151	27	42	analysis	analysis	NOUN
ap-6151	27	43	,	,	PUNCT
ap-6151	27	44	shape	shape	NOUN
ap-6151	27	45	optimization	optimization	NOUN
ap-6151	27	46	,	,	PUNCT
ap-6151	27	47	etc	etc	X
ap-6151	27	48	.	.	X
ap-6151	27	49	,	,	PUNCT
ap-6151	27	50	see	see	VERB
ap-6151	28	1	e.g.	e.g.	ADV
ap-6151	28	2	[	[	X
ap-6151	28	3	15–33	15–33	NUM
ap-6151	28	4	]	]	X
ap-6151	28	5	.	.	PUNCT
ap-6151	29	1	on	on	ADP
ap-6151	29	2	the	the	DET
ap-6151	29	3	other	other	ADJ
ap-6151	29	4	hand	hand	NOUN
ap-6151	29	5	,	,	PUNCT
ap-6151	29	6	several	several	ADJ
ap-6151	29	7	disadvantages	disadvantage	NOUN
ap-6151	29	8	of	of	ADP
ap-6151	29	9	the	the	DET
ap-6151	29	10	isogeometric	isogeometric	ADJ
ap-6151	29	11	analysis	analysis	NOUN
ap-6151	29	12	were	be	AUX
ap-6151	29	13	identified	identify	VERB
ap-6151	29	14	during	during	ADP
ap-6151	29	15	the	the	DET
ap-6151	29	16	extensive	extensive	ADJ
ap-6151	29	17	research	research	NOUN
ap-6151	29	18	in	in	ADP
ap-6151	29	19	the	the	DET
ap-6151	29	20	last	last	ADJ
ap-6151	29	21	years	year	NOUN
ap-6151	29	22	.	.	PUNCT
ap-6151	30	1	for	for	ADP
ap-6151	30	2	example	example	NOUN
ap-6151	30	3	,	,	PUNCT
ap-6151	30	4	the	the	DET
ap-6151	30	5	33	33	NUM
ap-6151	30	6	https://doi.org/10.14311/ap.2021.61.0033	https://doi.org/10.14311/ap.2021.61.0033	PROPN
ap-6151	30	7	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-6151	30	8	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-6151	30	9	b.	b.	PROPN
ap-6151	30	10	bastl	bastl	PROPN
ap-6151	30	11	,	,	PUNCT
ap-6151	30	12	m.	m.	NOUN
ap-6151	30	13	brandner	brandner	NOUN
ap-6151	30	14	,	,	PUNCT
ap-6151	30	15	j.	j.	PROPN
ap-6151	30	16	egermaier	egermaier	PROPN
ap-6151	31	1	et	et	PROPN
ap-6151	31	2	al	al	PROPN
ap-6151	31	3	.	.	PROPN
ap-6151	31	4	acta	acta	PROPN
ap-6151	31	5	polytechnica	polytechnica	PROPN
ap-6151	31	6	properties	property	NOUN
ap-6151	31	7	of	of	ADP
ap-6151	31	8	nurbs	nurbs	NOUN
ap-6151	31	9	objects	object	NOUN
ap-6151	31	10	induce	induce	VERB
ap-6151	31	11	that	that	SCONJ
ap-6151	31	12	true	true	ADJ
ap-6151	31	13	local	local	ADJ
ap-6151	31	14	refinement	refinement	NOUN
ap-6151	31	15	is	be	AUX
ap-6151	31	16	not	not	PART
ap-6151	31	17	possible	possible	ADJ
ap-6151	31	18	for	for	ADP
ap-6151	31	19	this	this	DET
ap-6151	31	20	class	class	NOUN
ap-6151	31	21	of	of	ADP
ap-6151	31	22	objects	object	NOUN
ap-6151	31	23	.	.	PUNCT
ap-6151	32	1	this	this	DET
ap-6151	32	2	drawback	drawback	NOUN
ap-6151	32	3	can	can	AUX
ap-6151	32	4	be	be	AUX
ap-6151	32	5	overcome	overcome	VERB
ap-6151	32	6	by	by	ADP
ap-6151	32	7	various	various	ADJ
ap-6151	32	8	generalizations	generalization	NOUN
ap-6151	32	9	of	of	ADP
ap-6151	32	10	nurbs	nurbs	NOUN
ap-6151	32	11	objects	object	NOUN
ap-6151	32	12	,	,	PUNCT
ap-6151	32	13	like	like	ADP
ap-6151	32	14	t	t	NOUN
ap-6151	32	15	-	-	PUNCT
ap-6151	32	16	splines	spline	NOUN
ap-6151	32	17	,	,	PUNCT
ap-6151	32	18	thb	thb	NOUN
ap-6151	32	19	-	-	PUNCT
ap-6151	32	20	splines	spline	NOUN
ap-6151	32	21	or	or	CCONJ
ap-6151	32	22	lr	lr	NOUN
ap-6151	32	23	-	-	PUNCT
ap-6151	32	24	splines	spline	NOUN
ap-6151	32	25	(	(	PUNCT
ap-6151	32	26	see	see	VERB
ap-6151	32	27	e.g.	e.g.	ADV
ap-6151	32	28	[	[	X
ap-6151	32	29	34	34	NUM
ap-6151	32	30	]	]	NOUN
ap-6151	32	31	)	)	PUNCT
ap-6151	32	32	,	,	PUNCT
ap-6151	32	33	which	which	PRON
ap-6151	32	34	were	be	AUX
ap-6151	32	35	recently	recently	ADV
ap-6151	32	36	studied	study	VERB
ap-6151	32	37	in	in	ADP
ap-6151	32	38	the	the	DET
ap-6151	32	39	context	context	NOUN
ap-6151	32	40	of	of	ADP
ap-6151	32	41	isogeometric	isogeometric	ADJ
ap-6151	32	42	analysis	analysis	NOUN
ap-6151	32	43	.	.	PUNCT
ap-6151	33	1	among	among	ADP
ap-6151	33	2	other	other	ADJ
ap-6151	33	3	drawbacks	drawback	NOUN
ap-6151	33	4	belong	belong	VERB
ap-6151	33	5	e.g.	e.g.	ADV
ap-6151	33	6	time	time	NOUN
ap-6151	33	7	-	-	PUNCT
ap-6151	33	8	consuming	consume	VERB
ap-6151	33	9	matrix	matrix	NOUN
ap-6151	33	10	assembly	assembly	NOUN
ap-6151	33	11	in	in	ADP
ap-6151	33	12	the	the	DET
ap-6151	33	13	construction	construction	NOUN
ap-6151	33	14	of	of	ADP
ap-6151	33	15	the	the	DET
ap-6151	33	16	matrix	matrix	NOUN
ap-6151	33	17	of	of	ADP
ap-6151	33	18	linear	linear	PROPN
ap-6151	33	19	systems	system	NOUN
ap-6151	33	20	arising	arise	VERB
ap-6151	33	21	in	in	ADP
ap-6151	33	22	galerkin	galerkin	ADJ
ap-6151	33	23	isogeometric	isogeometric	ADJ
ap-6151	33	24	methods	method	NOUN
ap-6151	33	25	(	(	PUNCT
ap-6151	33	26	see	see	VERB
ap-6151	34	1	e.g.	e.g.	ADV
ap-6151	34	2	[	[	X
ap-6151	34	3	35–37	35–37	NOUN
ap-6151	34	4	]	]	X
ap-6151	34	5	)	)	PUNCT
ap-6151	34	6	,	,	PUNCT
ap-6151	34	7	degraded	degraded	ADJ
ap-6151	34	8	performance	performance	NOUN
ap-6151	34	9	of	of	ADP
ap-6151	34	10	direct	direct	ADJ
ap-6151	34	11	solvers	solver	NOUN
ap-6151	34	12	because	because	SCONJ
ap-6151	34	13	of	of	ADP
ap-6151	34	14	wide	wide	ADJ
ap-6151	34	15	support	support	NOUN
ap-6151	34	16	of	of	ADP
ap-6151	34	17	b	b	NOUN
ap-6151	34	18	-	-	PUNCT
ap-6151	34	19	spline	spline	ADJ
ap-6151	34	20	/	/	SYM
ap-6151	34	21	nurbs	nurbs	NOUN
ap-6151	34	22	basis	basis	NOUN
ap-6151	34	23	functions	function	NOUN
ap-6151	34	24	(	(	PUNCT
ap-6151	34	25	see	see	VERB
ap-6151	34	26	[	[	X
ap-6151	34	27	38	38	NUM
ap-6151	34	28	]	]	PUNCT
ap-6151	34	29	)	)	PUNCT
ap-6151	34	30	or	or	CCONJ
ap-6151	34	31	the	the	DET
ap-6151	34	32	necessity	necessity	NOUN
ap-6151	34	33	to	to	PART
ap-6151	34	34	modify	modify	VERB
ap-6151	34	35	existing	exist	VERB
ap-6151	34	36	well	well	ADV
ap-6151	34	37	-	-	PUNCT
ap-6151	34	38	known	know	VERB
ap-6151	34	39	stabilization	stabilization	NOUN
ap-6151	34	40	techniques	technique	NOUN
ap-6151	34	41	to	to	PART
ap-6151	34	42	suppress	suppress	VERB
ap-6151	34	43	spurious	spurious	ADJ
ap-6151	34	44	oscillations	oscillation	NOUN
ap-6151	34	45	.	.	PUNCT
ap-6151	35	1	in	in	ADP
ap-6151	35	2	this	this	DET
ap-6151	35	3	paper	paper	NOUN
ap-6151	35	4	,	,	PUNCT
ap-6151	35	5	we	we	PRON
ap-6151	35	6	focus	focus	VERB
ap-6151	35	7	on	on	ADP
ap-6151	35	8	one	one	NUM
ap-6151	35	9	of	of	ADP
ap-6151	35	10	the	the	DET
ap-6151	35	11	standard	standard	ADJ
ap-6151	35	12	benchmark	benchmark	NOUN
ap-6151	35	13	problems	problem	NOUN
ap-6151	35	14	for	for	ADP
ap-6151	35	15	incompressible	incompressible	ADJ
ap-6151	35	16	fluid	fluid	ADJ
ap-6151	35	17	flow	flow	NOUN
ap-6151	35	18	simulation	simulation	NOUN
ap-6151	35	19	–	–	PUNCT
ap-6151	35	20	lid	lid	NOUN
ap-6151	35	21	-	-	PUNCT
ap-6151	35	22	driven	drive	VERB
ap-6151	35	23	cavity	cavity	NOUN
ap-6151	35	24	flow	flow	NOUN
ap-6151	35	25	.	.	PUNCT
ap-6151	36	1	this	this	DET
ap-6151	36	2	problem	problem	NOUN
ap-6151	36	3	is	be	AUX
ap-6151	36	4	frequently	frequently	ADV
ap-6151	36	5	studied	study	VERB
ap-6151	36	6	in	in	ADP
ap-6151	36	7	the	the	DET
ap-6151	36	8	literature	literature	NOUN
ap-6151	36	9	.	.	PUNCT
ap-6151	37	1	a	a	DET
ap-6151	37	2	well	well	ADV
ap-6151	37	3	-	-	PUNCT
ap-6151	37	4	done	do	VERB
ap-6151	37	5	overview	overview	NOUN
ap-6151	37	6	of	of	ADP
ap-6151	37	7	the	the	DET
ap-6151	37	8	results	result	NOUN
ap-6151	37	9	for	for	ADP
ap-6151	37	10	different	different	ADJ
ap-6151	37	11	reynolds	reynold	NOUN
ap-6151	37	12	numbers	number	NOUN
ap-6151	37	13	obtained	obtain	VERB
ap-6151	37	14	by	by	ADP
ap-6151	37	15	different	different	ADJ
ap-6151	37	16	methods	method	NOUN
ap-6151	37	17	can	can	AUX
ap-6151	37	18	be	be	AUX
ap-6151	37	19	found	find	VERB
ap-6151	37	20	e.g.	e.g.	ADV
ap-6151	37	21	in	in	ADP
ap-6151	37	22	the	the	DET
ap-6151	37	23	recent	recent	ADJ
ap-6151	37	24	paper	paper	NOUN
ap-6151	37	25	[	[	X
ap-6151	37	26	39	39	NUM
ap-6151	37	27	]	]	PUNCT
ap-6151	37	28	,	,	PUNCT
ap-6151	37	29	but	but	CCONJ
ap-6151	37	30	even	even	ADV
ap-6151	37	31	this	this	DET
ap-6151	37	32	extensive	extensive	ADJ
ap-6151	37	33	list	list	NOUN
ap-6151	37	34	is	be	AUX
ap-6151	37	35	not	not	PART
ap-6151	37	36	complete	complete	ADJ
ap-6151	37	37	.	.	PUNCT
ap-6151	38	1	as	as	SCONJ
ap-6151	38	2	it	it	PRON
ap-6151	38	3	can	can	AUX
ap-6151	38	4	be	be	AUX
ap-6151	38	5	seen	see	VERB
ap-6151	38	6	from	from	ADP
ap-6151	38	7	the	the	DET
ap-6151	38	8	summary	summary	NOUN
ap-6151	38	9	of	of	ADP
ap-6151	38	10	results	result	NOUN
ap-6151	38	11	for	for	ADP
ap-6151	38	12	this	this	DET
ap-6151	38	13	problem	problem	NOUN
ap-6151	38	14	in	in	ADP
ap-6151	38	15	[	[	X
ap-6151	38	16	39	39	NUM
ap-6151	38	17	]	]	PUNCT
ap-6151	38	18	,	,	PUNCT
ap-6151	38	19	fdm	fdm	NOUN
ap-6151	38	20	is	be	AUX
ap-6151	38	21	quite	quite	ADV
ap-6151	38	22	frequently	frequently	ADV
ap-6151	38	23	used	use	VERB
ap-6151	38	24	for	for	ADP
ap-6151	38	25	obtaining	obtain	VERB
ap-6151	38	26	very	very	ADV
ap-6151	38	27	accurate	accurate	ADJ
ap-6151	38	28	results	result	NOUN
ap-6151	38	29	for	for	ADP
ap-6151	38	30	this	this	DET
ap-6151	38	31	problem	problem	NOUN
ap-6151	38	32	.	.	PUNCT
ap-6151	39	1	to	to	ADP
ap-6151	39	2	the	the	DET
ap-6151	39	3	best	good	ADJ
ap-6151	39	4	of	of	ADP
ap-6151	39	5	our	our	PRON
ap-6151	39	6	knowledge	knowledge	NOUN
ap-6151	39	7	,	,	PUNCT
ap-6151	39	8	there	there	PRON
ap-6151	39	9	exist	exist	VERB
ap-6151	39	10	also	also	ADV
ap-6151	39	11	several	several	ADJ
ap-6151	39	12	papers	paper	NOUN
ap-6151	39	13	which	which	PRON
ap-6151	39	14	solve	solve	VERB
ap-6151	39	15	the	the	DET
ap-6151	39	16	lid	lid	NOUN
ap-6151	39	17	-	-	PUNCT
ap-6151	39	18	driven	drive	VERB
ap-6151	39	19	cavity	cavity	NOUN
ap-6151	39	20	problem	problem	NOUN
ap-6151	39	21	by	by	ADP
ap-6151	39	22	isogeometric	isogeometric	ADJ
ap-6151	39	23	analysis	analysis	NOUN
ap-6151	39	24	.	.	PUNCT
ap-6151	40	1	the	the	DET
ap-6151	40	2	paper	paper	NOUN
ap-6151	41	1	[	[	X
ap-6151	41	2	15	15	NUM
ap-6151	41	3	]	]	X
ap-6151	41	4	applies	apply	VERB
ap-6151	41	5	isogeometric	isogeometric	ADJ
ap-6151	41	6	analysis	analysis	NOUN
ap-6151	41	7	to	to	PART
ap-6151	41	8	solve	solve	VERB
ap-6151	41	9	the	the	DET
ap-6151	41	10	fourth	fourth	ADJ
ap-6151	41	11	order	order	NOUN
ap-6151	41	12	stream	stream	NOUN
ap-6151	41	13	function	function	NOUN
ap-6151	41	14	formulation	formulation	NOUN
ap-6151	41	15	of	of	ADP
ap-6151	41	16	the	the	DET
ap-6151	41	17	navier	navier	NOUN
ap-6151	41	18	-	-	PUNCT
ap-6151	41	19	stokes	stoke	NOUN
ap-6151	41	20	equations	equation	NOUN
ap-6151	41	21	and	and	CCONJ
ap-6151	41	22	presents	present	VERB
ap-6151	41	23	the	the	DET
ap-6151	41	24	results	result	NOUN
ap-6151	41	25	for	for	ADP
ap-6151	41	26	reynolds	reynold	NOUN
ap-6151	41	27	numbers	number	NOUN
ap-6151	41	28	up	up	ADP
ap-6151	41	29	to	to	ADP
ap-6151	41	30	5000	5000	NUM
ap-6151	41	31	.	.	PUNCT
ap-6151	42	1	further	far	ADV
ap-6151	42	2	,	,	PUNCT
ap-6151	42	3	the	the	DET
ap-6151	42	4	paper	paper	NOUN
ap-6151	42	5	[	[	X
ap-6151	42	6	40	40	NUM
ap-6151	42	7	]	]	PUNCT
ap-6151	42	8	uses	use	VERB
ap-6151	42	9	divergence	divergence	NOUN
ap-6151	42	10	-	-	PUNCT
ap-6151	42	11	conforming	conform	VERB
ap-6151	42	12	b	b	NOUN
ap-6151	42	13	-	-	PUNCT
ap-6151	42	14	splines	spline	NOUN
ap-6151	42	15	which	which	PRON
ap-6151	42	16	may	may	AUX
ap-6151	42	17	be	be	AUX
ap-6151	42	18	interpreted	interpret	VERB
ap-6151	42	19	as	as	ADP
ap-6151	42	20	smooth	smooth	ADJ
ap-6151	42	21	generalizations	generalization	NOUN
ap-6151	42	22	of	of	ADP
ap-6151	42	23	raviart	raviart	NOUN
ap-6151	42	24	-	-	PUNCT
ap-6151	42	25	thomas	thomas	PROPN
ap-6151	42	26	elements	element	NOUN
ap-6151	42	27	and	and	CCONJ
ap-6151	42	28	presents	present	VERB
ap-6151	42	29	the	the	DET
ap-6151	42	30	results	result	NOUN
ap-6151	42	31	for	for	ADP
ap-6151	42	32	reynolds	reynold	NOUN
ap-6151	42	33	numbers	number	NOUN
ap-6151	42	34	up	up	ADP
ap-6151	42	35	to	to	ADP
ap-6151	42	36	1000	1000	NUM
ap-6151	42	37	.	.	PUNCT
ap-6151	43	1	finally	finally	ADV
ap-6151	43	2	,	,	PUNCT
ap-6151	43	3	the	the	DET
ap-6151	43	4	paper	paper	NOUN
ap-6151	43	5	[	[	X
ap-6151	43	6	33	33	NUM
ap-6151	43	7	]	]	PUNCT
ap-6151	43	8	is	be	AUX
ap-6151	43	9	based	base	VERB
ap-6151	43	10	on	on	ADP
ap-6151	43	11	velocity	velocity	NOUN
ap-6151	43	12	-	-	PUNCT
ap-6151	43	13	pressure	pressure	NOUN
ap-6151	43	14	formulation	formulation	NOUN
ap-6151	43	15	of	of	ADP
ap-6151	43	16	steady	steady	ADJ
ap-6151	43	17	and	and	CCONJ
ap-6151	43	18	unsteady	unsteady	ADJ
ap-6151	43	19	navier	navier	NOUN
ap-6151	43	20	-	-	PUNCT
ap-6151	43	21	stokes	stoke	NOUN
ap-6151	43	22	equations	equation	NOUN
ap-6151	43	23	,	,	PUNCT
ap-6151	43	24	uses	use	VERB
ap-6151	43	25	lbb	lbb	PROPN
ap-6151	43	26	compatible	compatible	ADJ
ap-6151	43	27	b	b	X
ap-6151	43	28	-	-	PUNCT
ap-6151	43	29	spline	spline	NOUN
ap-6151	43	30	spaces	space	NOUN
ap-6151	43	31	which	which	PRON
ap-6151	43	32	may	may	AUX
ap-6151	43	33	be	be	AUX
ap-6151	43	34	regarded	regard	VERB
ap-6151	43	35	as	as	ADP
ap-6151	43	36	smooth	smooth	ADJ
ap-6151	43	37	generalizations	generalization	NOUN
ap-6151	43	38	of	of	ADP
ap-6151	43	39	taylor	taylor	PROPN
ap-6151	43	40	-	-	PUNCT
ap-6151	43	41	hood	hood	NOUN
ap-6151	43	42	pairs	pair	NOUN
ap-6151	43	43	of	of	ADP
ap-6151	43	44	finite	finite	ADJ
ap-6151	43	45	element	element	NOUN
ap-6151	43	46	spaces	space	NOUN
ap-6151	43	47	and	and	CCONJ
ap-6151	43	48	presents	present	VERB
ap-6151	43	49	the	the	DET
ap-6151	43	50	results	result	NOUN
ap-6151	43	51	for	for	ADP
ap-6151	43	52	reynolds	reynold	NOUN
ap-6151	43	53	numbers	number	NOUN
ap-6151	43	54	up	up	ADP
ap-6151	43	55	to	to	ADP
ap-6151	43	56	1000	1000	NUM
ap-6151	43	57	.	.	PUNCT
ap-6151	44	1	the	the	DET
ap-6151	44	2	main	main	ADJ
ap-6151	44	3	goal	goal	NOUN
ap-6151	44	4	of	of	ADP
ap-6151	44	5	this	this	DET
ap-6151	44	6	paper	paper	NOUN
ap-6151	44	7	is	be	AUX
ap-6151	44	8	to	to	PART
ap-6151	44	9	extend	extend	VERB
ap-6151	44	10	the	the	DET
ap-6151	44	11	study	study	NOUN
ap-6151	44	12	done	do	VERB
ap-6151	44	13	in	in	ADP
ap-6151	44	14	[	[	X
ap-6151	44	15	33	33	NUM
ap-6151	44	16	]	]	PUNCT
ap-6151	44	17	for	for	ADP
ap-6151	44	18	the	the	DET
ap-6151	44	19	lid	lid	NOUN
ap-6151	44	20	-	-	PUNCT
ap-6151	44	21	driven	drive	VERB
ap-6151	44	22	cavity	cavity	NOUN
ap-6151	44	23	problem	problem	NOUN
ap-6151	44	24	to	to	ADP
ap-6151	44	25	higher	high	ADJ
ap-6151	44	26	reynolds	reynold	NOUN
ap-6151	44	27	number	number	NOUN
ap-6151	44	28	,	,	PUNCT
ap-6151	44	29	but	but	CCONJ
ap-6151	44	30	in	in	ADP
ap-6151	44	31	a	a	DET
ap-6151	44	32	slightly	slightly	ADV
ap-6151	44	33	different	different	ADJ
ap-6151	44	34	manner	manner	NOUN
ap-6151	44	35	.	.	PUNCT
ap-6151	45	1	we	we	PRON
ap-6151	45	2	want	want	VERB
ap-6151	45	3	to	to	PART
ap-6151	45	4	compare	compare	VERB
ap-6151	45	5	the	the	DET
ap-6151	45	6	solutions	solution	NOUN
ap-6151	45	7	obtained	obtain	VERB
ap-6151	45	8	by	by	ADP
ap-6151	45	9	our	our	PRON
ap-6151	45	10	inhouse	inhouse	NOUN
ap-6151	45	11	fluid	fluid	NOUN
ap-6151	45	12	flow	flow	NOUN
ap-6151	45	13	solver	solver	ADV
ap-6151	45	14	based	base	VERB
ap-6151	45	15	on	on	ADP
ap-6151	45	16	isogeometric	isogeometric	ADJ
ap-6151	45	17	analysis	analysis	NOUN
ap-6151	45	18	(	(	PUNCT
ap-6151	45	19	see	see	VERB
ap-6151	45	20	[	[	X
ap-6151	45	21	30	30	NUM
ap-6151	45	22	,	,	PUNCT
ap-6151	45	23	31	31	NUM
ap-6151	45	24	]	]	PUNCT
ap-6151	45	25	)	)	PUNCT
ap-6151	45	26	for	for	ADP
ap-6151	45	27	different	different	ADJ
ap-6151	45	28	b	b	X
ap-6151	45	29	-	-	PUNCT
ap-6151	45	30	spline	spline	ADJ
ap-6151	45	31	discretization	discretization	NOUN
ap-6151	45	32	spaces	space	VERB
ap-6151	45	33	with	with	ADP
ap-6151	45	34	solutions	solution	NOUN
ap-6151	45	35	obtained	obtain	VERB
ap-6151	45	36	by	by	ADP
ap-6151	45	37	finite	finite	ADJ
ap-6151	45	38	element	element	NOUN
ap-6151	45	39	method	method	NOUN
ap-6151	45	40	with	with	ADP
ap-6151	45	41	respect	respect	NOUN
ap-6151	45	42	to	to	ADP
ap-6151	45	43	degrees	degree	NOUN
ap-6151	45	44	of	of	ADP
ap-6151	45	45	freedom	freedom	NOUN
ap-6151	45	46	and	and	CCONJ
ap-6151	45	47	stability	stability	NOUN
ap-6151	45	48	of	of	ADP
ap-6151	45	49	the	the	DET
ap-6151	45	50	solution	solution	NOUN
ap-6151	45	51	.	.	PUNCT
ap-6151	46	1	further	far	ADV
ap-6151	46	2	,	,	PUNCT
ap-6151	46	3	we	we	PRON
ap-6151	46	4	want	want	VERB
ap-6151	46	5	to	to	PART
ap-6151	46	6	study	study	VERB
ap-6151	46	7	the	the	DET
ap-6151	46	8	potential	potential	ADJ
ap-6151	46	9	“	"	PUNCT
ap-6151	46	10	stabilization	stabilization	NOUN
ap-6151	46	11	effect	effect	NOUN
ap-6151	46	12	”	"	PUNCT
ap-6151	46	13	of	of	ADP
ap-6151	46	14	high	high	ADJ
ap-6151	46	15	continuity	continuity	NOUN
ap-6151	46	16	b	b	NOUN
ap-6151	46	17	-	-	PUNCT
ap-6151	46	18	spline	spline	ADJ
ap-6151	46	19	discretization	discretization	NOUN
ap-6151	46	20	spaces	space	NOUN
ap-6151	46	21	(	(	PUNCT
ap-6151	46	22	see	see	VERB
ap-6151	46	23	[	[	X
ap-6151	46	24	41	41	NUM
ap-6151	46	25	]	]	NUM
ap-6151	46	26	)	)	PUNCT
ap-6151	46	27	,	,	PUNCT
ap-6151	46	28	i.e.	i.e.	X
ap-6151	46	29	,	,	PUNCT
ap-6151	46	30	if	if	SCONJ
ap-6151	46	31	high	high	ADJ
ap-6151	46	32	continuity	continuity	NOUN
ap-6151	46	33	b	b	X
ap-6151	46	34	-	-	PUNCT
ap-6151	46	35	spline	spline	ADJ
ap-6151	46	36	discretization	discretization	NOUN
ap-6151	46	37	spaces	space	NOUN
ap-6151	46	38	provide	provide	VERB
ap-6151	46	39	solutions	solution	NOUN
ap-6151	46	40	with	with	ADP
ap-6151	46	41	less	less	ADJ
ap-6151	46	42	oscillations	oscillation	NOUN
ap-6151	46	43	than	than	ADP
ap-6151	46	44	standard	standard	ADJ
ap-6151	46	45	finite	finite	ADJ
ap-6151	46	46	element	element	NOUN
ap-6151	46	47	spaces	space	NOUN
ap-6151	46	48	and	and	CCONJ
ap-6151	46	49	b	b	X
ap-6151	46	50	-	-	PUNCT
ap-6151	46	51	spline	spline	ADJ
ap-6151	46	52	discretization	discretization	NOUN
ap-6151	46	53	spaces	space	NOUN
ap-6151	46	54	of	of	ADP
ap-6151	46	55	low	low	ADJ
ap-6151	46	56	continuity	continuity	NOUN
ap-6151	46	57	(	(	PUNCT
ap-6151	46	58	fem	fem	NOUN
ap-6151	46	59	-	-	PUNCT
ap-6151	46	60	like	like	ADJ
ap-6151	46	61	)	)	PUNCT
ap-6151	46	62	for	for	ADP
ap-6151	46	63	the	the	DET
ap-6151	46	64	similar	similar	ADJ
ap-6151	46	65	number	number	NOUN
ap-6151	46	66	of	of	ADP
ap-6151	46	67	degrees	degree	NOUN
ap-6151	46	68	of	of	ADP
ap-6151	46	69	freedom	freedom	NOUN
ap-6151	46	70	.	.	PUNCT
ap-6151	47	1	moreover	moreover	ADV
ap-6151	47	2	,	,	PUNCT
ap-6151	47	3	we	we	PRON
ap-6151	47	4	want	want	VERB
ap-6151	47	5	to	to	PART
ap-6151	47	6	investigate	investigate	VERB
ap-6151	47	7	if	if	SCONJ
ap-6151	47	8	this	this	DET
ap-6151	47	9	potential	potential	ADJ
ap-6151	47	10	stabilization	stabilization	NOUN
ap-6151	47	11	effect	effect	NOUN
ap-6151	47	12	of	of	ADP
ap-6151	47	13	the	the	DET
ap-6151	47	14	high	high	ADJ
ap-6151	47	15	continuity	continuity	NOUN
ap-6151	47	16	b	b	NOUN
ap-6151	47	17	-	-	PUNCT
ap-6151	47	18	spline	spline	NOUN
ap-6151	47	19	discretizations	discretization	NOUN
ap-6151	47	20	dominates	dominate	VERB
ap-6151	47	21	the	the	DET
ap-6151	47	22	effect	effect	NOUN
ap-6151	47	23	of	of	ADP
ap-6151	47	24	the	the	DET
ap-6151	47	25	supg	supg	NOUN
ap-6151	47	26	stabilization	stabilization	NOUN
ap-6151	47	27	for	for	ADP
ap-6151	47	28	the	the	DET
ap-6151	47	29	low	low	ADJ
ap-6151	47	30	continuity	continuity	NOUN
ap-6151	47	31	b	b	NOUN
ap-6151	47	32	-	-	PUNCT
ap-6151	47	33	spline	spline	NOUN
ap-6151	47	34	discretizations	discretization	NOUN
ap-6151	47	35	.	.	PUNCT
ap-6151	48	1	finally	finally	ADV
ap-6151	48	2	,	,	PUNCT
ap-6151	48	3	inspired	inspire	VERB
ap-6151	48	4	by	by	ADP
ap-6151	48	5	the	the	DET
ap-6151	48	6	recently	recently	ADV
ap-6151	48	7	introduced	introduce	VERB
ap-6151	48	8	riga	riga	PROPN
ap-6151	48	9	method	method	NOUN
ap-6151	48	10	(	(	PUNCT
ap-6151	48	11	see	see	VERB
ap-6151	48	12	[	[	X
ap-6151	48	13	42	42	NUM
ap-6151	48	14	,	,	PUNCT
ap-6151	48	15	43	43	NUM
ap-6151	48	16	]	]	PUNCT
ap-6151	48	17	)	)	PUNCT
ap-6151	48	18	,	,	PUNCT
ap-6151	48	19	we	we	PRON
ap-6151	48	20	want	want	VERB
ap-6151	48	21	to	to	PART
ap-6151	48	22	explore	explore	VERB
ap-6151	48	23	the	the	DET
ap-6151	48	24	effectiveness	effectiveness	NOUN
ap-6151	48	25	of	of	ADP
ap-6151	48	26	riga	riga	ADJ
ap-6151	48	27	method	method	NOUN
ap-6151	48	28	for	for	ADP
ap-6151	48	29	solving	solve	VERB
ap-6151	48	30	the	the	DET
ap-6151	48	31	navier	navier	NOUN
ap-6151	48	32	-	-	PUNCT
ap-6151	48	33	stokes	stoke	NOUN
ap-6151	48	34	equations	equation	NOUN
ap-6151	48	35	,	,	PUNCT
ap-6151	48	36	which	which	PRON
ap-6151	48	37	has	have	AUX
ap-6151	48	38	not	not	PART
ap-6151	48	39	yet	yet	ADV
ap-6151	48	40	been	be	AUX
ap-6151	48	41	studied	study	VERB
ap-6151	48	42	.	.	PUNCT
ap-6151	49	1	the	the	DET
ap-6151	49	2	paper	paper	NOUN
ap-6151	49	3	is	be	AUX
ap-6151	49	4	organized	organize	VERB
ap-6151	49	5	as	as	SCONJ
ap-6151	49	6	follows	follow	VERB
ap-6151	49	7	.	.	PUNCT
ap-6151	50	1	section	section	NOUN
ap-6151	50	2	2	2	NUM
ap-6151	50	3	introduces	introduce	VERB
ap-6151	50	4	the	the	DET
ap-6151	50	5	steady	steady	ADJ
ap-6151	50	6	navier	navier	NOUN
ap-6151	50	7	-	-	PUNCT
ap-6151	50	8	stokes	stoke	NOUN
ap-6151	50	9	equations	equation	NOUN
ap-6151	50	10	,	,	PUNCT
ap-6151	50	11	their	their	PRON
ap-6151	50	12	weak	weak	ADJ
ap-6151	50	13	formulation	formulation	NOUN
ap-6151	50	14	and	and	CCONJ
ap-6151	50	15	galerkin	galerkin	ADJ
ap-6151	50	16	discretization	discretization	NOUN
ap-6151	50	17	.	.	PUNCT
ap-6151	51	1	in	in	ADP
ap-6151	51	2	section	section	NOUN
ap-6151	51	3	3	3	NUM
ap-6151	51	4	,	,	PUNCT
ap-6151	51	5	we	we	PRON
ap-6151	51	6	overview	overview	VERB
ap-6151	51	7	the	the	DET
ap-6151	51	8	fundamentals	fundamental	NOUN
ap-6151	51	9	of	of	ADP
ap-6151	51	10	b	b	NOUN
ap-6151	51	11	-	-	PUNCT
ap-6151	51	12	spline	spline	NOUN
ap-6151	51	13	objects	object	NOUN
ap-6151	51	14	and	and	CCONJ
ap-6151	51	15	present	present	VERB
ap-6151	51	16	the	the	DET
ap-6151	51	17	main	main	ADJ
ap-6151	51	18	ideas	idea	NOUN
ap-6151	51	19	of	of	ADP
ap-6151	51	20	isogeometric	isogeometric	ADJ
ap-6151	51	21	analysis	analysis	NOUN
ap-6151	51	22	.	.	PUNCT
ap-6151	52	1	section	section	NOUN
ap-6151	52	2	4	4	NUM
ap-6151	52	3	is	be	AUX
ap-6151	52	4	devoted	devote	VERB
ap-6151	52	5	to	to	ADP
ap-6151	52	6	a	a	DET
ap-6151	52	7	very	very	ADV
ap-6151	52	8	brief	brief	ADJ
ap-6151	52	9	overview	overview	NOUN
ap-6151	52	10	of	of	ADP
ap-6151	52	11	streamline	streamline	NOUN
ap-6151	52	12	upwind	upwind	NOUN
ap-6151	52	13	/	/	SYM
ap-6151	52	14	petrov	petrov	PROPN
ap-6151	52	15	-	-	PUNCT
ap-6151	52	16	galerkin	galerkin	ADJ
ap-6151	52	17	method	method	NOUN
ap-6151	52	18	used	use	VERB
ap-6151	52	19	for	for	ADP
ap-6151	52	20	stabilization	stabilization	NOUN
ap-6151	52	21	of	of	ADP
ap-6151	52	22	a	a	DET
ap-6151	52	23	numerical	numerical	ADJ
ap-6151	52	24	solution	solution	NOUN
ap-6151	52	25	of	of	ADP
ap-6151	52	26	convectiondominated	convectiondominate	VERB
ap-6151	52	27	problems	problem	NOUN
ap-6151	52	28	typically	typically	ADV
ap-6151	52	29	for	for	ADP
ap-6151	52	30	lower	low	ADJ
ap-6151	52	31	degree	degree	NOUN
ap-6151	52	32	discretization	discretization	NOUN
ap-6151	52	33	spaces	space	VERB
ap-6151	52	34	.	.	PUNCT
ap-6151	53	1	in	in	ADP
ap-6151	53	2	section	section	NOUN
ap-6151	53	3	5	5	NUM
ap-6151	53	4	,	,	PUNCT
ap-6151	53	5	we	we	PRON
ap-6151	53	6	formulate	formulate	VERB
ap-6151	53	7	the	the	DET
ap-6151	53	8	benchmark	benchmark	ADJ
ap-6151	53	9	problem	problem	NOUN
ap-6151	53	10	studied	study	VERB
ap-6151	53	11	in	in	ADP
ap-6151	53	12	the	the	DET
ap-6151	53	13	paper	paper	NOUN
ap-6151	53	14	–	–	PUNCT
ap-6151	53	15	the	the	DET
ap-6151	53	16	liddriven	liddriven	VERB
ap-6151	53	17	cavity	cavity	NOUN
ap-6151	53	18	flow	flow	NOUN
ap-6151	53	19	–	–	PUNCT
ap-6151	53	20	and	and	CCONJ
ap-6151	53	21	present	present	VERB
ap-6151	53	22	the	the	DET
ap-6151	53	23	reference	reference	NOUN
ap-6151	53	24	solutions	solution	NOUN
ap-6151	53	25	used	use	VERB
ap-6151	53	26	for	for	ADP
ap-6151	53	27	comparison	comparison	NOUN
ap-6151	53	28	with	with	ADP
ap-6151	53	29	our	our	PRON
ap-6151	53	30	results	result	NOUN
ap-6151	53	31	.	.	PUNCT
ap-6151	54	1	section	section	NOUN
ap-6151	54	2	6	6	NUM
ap-6151	54	3	then	then	ADV
ap-6151	54	4	demonstrates	demonstrate	VERB
ap-6151	54	5	the	the	DET
ap-6151	54	6	main	main	ADJ
ap-6151	54	7	results	result	NOUN
ap-6151	54	8	of	of	ADP
ap-6151	54	9	the	the	DET
ap-6151	54	10	paper	paper	NOUN
ap-6151	54	11	,	,	PUNCT
ap-6151	54	12	i.e.	i.e.	X
ap-6151	54	13	,	,	PUNCT
ap-6151	54	14	the	the	DET
ap-6151	54	15	results	result	NOUN
ap-6151	54	16	obtained	obtain	VERB
ap-6151	54	17	by	by	ADP
ap-6151	54	18	our	our	PRON
ap-6151	54	19	in	in	ADP
ap-6151	54	20	-	-	PUNCT
ap-6151	54	21	house	house	NOUN
ap-6151	54	22	fluid	fluid	NOUN
ap-6151	54	23	flow	flow	NOUN
ap-6151	54	24	solver	solver	ADV
ap-6151	54	25	based	base	VERB
ap-6151	54	26	on	on	ADP
ap-6151	54	27	isogeometric	isogeometric	ADJ
ap-6151	54	28	analysis	analysis	NOUN
ap-6151	54	29	and	and	CCONJ
ap-6151	54	30	their	their	PRON
ap-6151	54	31	comparison	comparison	NOUN
ap-6151	54	32	with	with	ADP
ap-6151	54	33	reference	reference	NOUN
ap-6151	54	34	solutions	solution	NOUN
ap-6151	54	35	and	and	CCONJ
ap-6151	54	36	other	other	ADJ
ap-6151	54	37	solutions	solution	NOUN
ap-6151	54	38	obtained	obtain	VERB
ap-6151	54	39	by	by	ADP
ap-6151	54	40	a	a	DET
ap-6151	54	41	standard	standard	ADJ
ap-6151	54	42	fem	fem	NOUN
ap-6151	54	43	package	package	NOUN
ap-6151	54	44	.	.	PUNCT
ap-6151	55	1	in	in	ADP
ap-6151	55	2	section	section	NOUN
ap-6151	55	3	7	7	NUM
ap-6151	55	4	,	,	PUNCT
ap-6151	55	5	we	we	PRON
ap-6151	55	6	conclude	conclude	VERB
ap-6151	55	7	the	the	DET
ap-6151	55	8	paper	paper	NOUN
ap-6151	55	9	.	.	PUNCT
ap-6151	56	1	2	2	X
ap-6151	56	2	.	.	X
ap-6151	56	3	navier	navier	NOUN
ap-6151	56	4	-	-	PUNCT
ap-6151	56	5	stokes	stokes	PROPN
ap-6151	56	6	equations	equation	NOUN
ap-6151	56	7	the	the	DET
ap-6151	56	8	mathematical	mathematical	ADJ
ap-6151	56	9	model	model	NOUN
ap-6151	56	10	of	of	ADP
ap-6151	56	11	incompressible	incompressible	ADJ
ap-6151	56	12	viscous	viscous	ADJ
ap-6151	56	13	newtonian	newtonian	ADJ
ap-6151	56	14	flow	flow	NOUN
ap-6151	56	15	is	be	AUX
ap-6151	56	16	based	base	VERB
ap-6151	56	17	on	on	ADP
ap-6151	56	18	the	the	DET
ap-6151	56	19	incompressible	incompressible	ADJ
ap-6151	56	20	navier	navier	NOUN
ap-6151	56	21	–	–	PUNCT
ap-6151	56	22	stokes	stokes	PROPN
ap-6151	56	23	equations	equation	NOUN
ap-6151	56	24	(	(	PUNCT
ap-6151	56	25	nse	nse	NOUN
ap-6151	56	26	)	)	PUNCT
ap-6151	56	27	.	.	PUNCT
ap-6151	57	1	let	let	VERB
ap-6151	57	2	ω	ω	PROPN
ap-6151	57	3	⊂	⊂	PROPN
ap-6151	57	4	rd	rd	PROPN
ap-6151	57	5	be	be	AUX
ap-6151	57	6	a	a	DET
ap-6151	57	7	bounded	bounded	ADJ
ap-6151	57	8	domain	domain	NOUN
ap-6151	57	9	,	,	PUNCT
ap-6151	57	10	d	d	PRON
ap-6151	57	11	being	be	AUX
ap-6151	57	12	the	the	DET
ap-6151	57	13	number	number	NOUN
ap-6151	57	14	of	of	ADP
ap-6151	57	15	spatial	spatial	ADJ
ap-6151	57	16	dimensions	dimension	NOUN
ap-6151	57	17	,	,	PUNCT
ap-6151	57	18	with	with	ADP
ap-6151	57	19	the	the	DET
ap-6151	57	20	boundary	boundary	ADJ
ap-6151	57	21	∂ω	∂ω	PROPN
ap-6151	57	22	consisting	consist	VERB
ap-6151	57	23	of	of	ADP
ap-6151	57	24	two	two	NUM
ap-6151	57	25	complementary	complementary	ADJ
ap-6151	57	26	parts	part	NOUN
ap-6151	57	27	,	,	PUNCT
ap-6151	57	28	dirichlet	dirichlet	PROPN
ap-6151	57	29	∂ωd	∂ωd	PROPN
ap-6151	57	30	and	and	CCONJ
ap-6151	57	31	neumann	neumann	PROPN
ap-6151	57	32	∂ωn	∂ωn	PROPN
ap-6151	57	33	.	.	PUNCT
ap-6151	58	1	the	the	DET
ap-6151	58	2	steady	steady	ADJ
ap-6151	58	3	-	-	PUNCT
ap-6151	58	4	state	state	NOUN
ap-6151	58	5	incompressible	incompressible	ADJ
ap-6151	58	6	navier	navier	NOUN
ap-6151	58	7	–	–	PUNCT
ap-6151	58	8	stokes	stoke	NOUN
ap-6151	58	9	problem	problem	NOUN
ap-6151	58	10	is	be	AUX
ap-6151	58	11	given	give	VERB
ap-6151	58	12	as	as	ADP
ap-6151	58	13	a	a	DET
ap-6151	58	14	system	system	NOUN
ap-6151	58	15	of	of	ADP
ap-6151	58	16	d	d	PROPN
ap-6151	58	17	+	+	CCONJ
ap-6151	58	18	1	1	NUM
ap-6151	58	19	differential	differential	NOUN
ap-6151	58	20	equations	equation	NOUN
ap-6151	58	21	together	together	ADV
ap-6151	58	22	with	with	ADP
ap-6151	58	23	boundary	boundary	ADJ
ap-6151	58	24	conditions	condition	NOUN
ap-6151	58	25	−ν∆u	−ν∆u	CCONJ
ap-6151	59	1	+	+	CCONJ
ap-6151	59	2	(	(	PUNCT
ap-6151	59	3	u	u	NOUN
ap-6151	59	4	·	·	PUNCT
ap-6151	59	5	∇)u	∇)u	PROPN
ap-6151	60	1	+	+	ADJ
ap-6151	60	2	∇p	∇p	ADJ
ap-6151	60	3	=	=	NOUN
ap-6151	60	4	0	0	NUM
ap-6151	60	5	in	in	ADP
ap-6151	60	6	ω	ω	PROPN
ap-6151	60	7	,	,	PUNCT
ap-6151	60	8	∇	∇	X
ap-6151	60	9	·	·	PUNCT
ap-6151	60	10	u	u	NOUN
ap-6151	61	1	=	=	NOUN
ap-6151	61	2	0	0	NUM
ap-6151	61	3	in	in	ADP
ap-6151	61	4	ω	ω	PROPN
ap-6151	61	5	,	,	PUNCT
ap-6151	61	6	u	u	NOUN
ap-6151	61	7	=	=	PROPN
ap-6151	61	8	gd	gd	PROPN
ap-6151	61	9	on	on	ADP
ap-6151	61	10	∂ωd	∂ωd	NOUN
ap-6151	61	11	,	,	PUNCT
ap-6151	61	12	ν	ν	X
ap-6151	61	13	∂u	∂u	PROPN
ap-6151	61	14	∂n	∂n	PROPN
ap-6151	62	1	−	−	NOUN
ap-6151	62	2	np	np	INTJ
ap-6151	63	1	=	=	NOUN
ap-6151	63	2	0	0	NUM
ap-6151	64	1	on	on	ADP
ap-6151	64	2	∂ωn	∂ωn	PROPN
ap-6151	64	3	,	,	PUNCT
ap-6151	64	4	(	(	PUNCT
ap-6151	64	5	1	1	X
ap-6151	64	6	)	)	PUNCT
ap-6151	64	7	where	where	SCONJ
ap-6151	64	8	u	u	NOUN
ap-6151	64	9	is	be	AUX
ap-6151	64	10	the	the	DET
ap-6151	64	11	flow	flow	NOUN
ap-6151	64	12	velocity	velocity	NOUN
ap-6151	64	13	,	,	PUNCT
ap-6151	64	14	p	p	NOUN
ap-6151	64	15	is	be	AUX
ap-6151	64	16	the	the	DET
ap-6151	64	17	kinematic	kinematic	ADJ
ap-6151	64	18	pressure	pressure	NOUN
ap-6151	64	19	,	,	PUNCT
ap-6151	64	20	ν	ν	X
ap-6151	64	21	is	be	AUX
ap-6151	64	22	the	the	DET
ap-6151	64	23	kinematic	kinematic	ADJ
ap-6151	64	24	viscosity	viscosity	NOUN
ap-6151	64	25	and	and	CCONJ
ap-6151	64	26	gd	gd	PROPN
ap-6151	64	27	is	be	AUX
ap-6151	64	28	a	a	DET
ap-6151	64	29	given	give	VERB
ap-6151	64	30	function	function	NOUN
ap-6151	64	31	.	.	PUNCT
ap-6151	65	1	if	if	SCONJ
ap-6151	65	2	the	the	DET
ap-6151	65	3	velocity	velocity	NOUN
ap-6151	65	4	is	be	AUX
ap-6151	65	5	specified	specify	VERB
ap-6151	65	6	everywhere	everywhere	ADV
ap-6151	65	7	on	on	ADP
ap-6151	65	8	the	the	DET
ap-6151	65	9	boundary	boundary	NOUN
ap-6151	65	10	,	,	PUNCT
ap-6151	65	11	the	the	DET
ap-6151	65	12	pressure	pressure	NOUN
ap-6151	65	13	solution	solution	NOUN
ap-6151	65	14	is	be	AUX
ap-6151	65	15	only	only	ADV
ap-6151	65	16	unique	unique	ADJ
ap-6151	65	17	up	up	ADP
ap-6151	65	18	to	to	ADP
ap-6151	65	19	a	a	DET
ap-6151	65	20	hydrostatic	hydrostatic	ADJ
ap-6151	65	21	constant	constant	NOUN
ap-6151	65	22	.	.	PUNCT
ap-6151	66	1	the	the	DET
ap-6151	66	2	laminar	laminar	ADJ
ap-6151	66	3	/	/	SYM
ap-6151	66	4	turbulent	turbulent	ADJ
ap-6151	66	5	behaviour	behaviour	NOUN
ap-6151	66	6	of	of	ADP
ap-6151	66	7	the	the	DET
ap-6151	66	8	fluid	fluid	NOUN
ap-6151	66	9	can	can	AUX
ap-6151	66	10	be	be	AUX
ap-6151	66	11	predicted	predict	VERB
ap-6151	66	12	by	by	ADP
ap-6151	66	13	the	the	DET
ap-6151	66	14	dimensionless	dimensionless	NOUN
ap-6151	66	15	reynolds	reynold	NOUN
ap-6151	66	16	number	number	NOUN
ap-6151	66	17	generally	generally	ADV
ap-6151	66	18	defined	define	VERB
ap-6151	66	19	as	as	ADP
ap-6151	66	20	the	the	DET
ap-6151	66	21	ratio	ratio	NOUN
ap-6151	66	22	of	of	ADP
ap-6151	66	23	inertial	inertial	ADJ
ap-6151	66	24	forces	force	NOUN
ap-6151	66	25	to	to	ADP
ap-6151	66	26	viscous	viscous	ADJ
ap-6151	66	27	forces	force	NOUN
ap-6151	66	28	re	re	ADP
ap-6151	66	29	=	=	NOUN
ap-6151	66	30	ûl	ûl	NUM
ap-6151	66	31	ν	ν	NOUN
ap-6151	66	32	,	,	PUNCT
ap-6151	66	33	(	(	PUNCT
ap-6151	66	34	2	2	X
ap-6151	66	35	)	)	PUNCT
ap-6151	66	36	where	where	SCONJ
ap-6151	66	37	û	û	NUM
ap-6151	66	38	is	be	AUX
ap-6151	66	39	the	the	DET
ap-6151	66	40	mean	mean	ADJ
ap-6151	66	41	velocity	velocity	NOUN
ap-6151	66	42	of	of	ADP
ap-6151	66	43	the	the	DET
ap-6151	66	44	fluid	fluid	NOUN
ap-6151	66	45	and	and	CCONJ
ap-6151	66	46	l	l	NOUN
ap-6151	66	47	is	be	AUX
ap-6151	66	48	the	the	DET
ap-6151	66	49	characteristic	characteristic	ADJ
ap-6151	66	50	linear	linear	ADJ
ap-6151	66	51	dimension	dimension	NOUN
ap-6151	66	52	.	.	PUNCT
ap-6151	67	1	2.1	2.1	NUM
ap-6151	67	2	.	.	PUNCT
ap-6151	67	3	galerkin	galerkin	ADJ
ap-6151	67	4	discretization	discretization	NOUN
ap-6151	67	5	in	in	ADP
ap-6151	67	6	order	order	NOUN
ap-6151	67	7	to	to	PART
ap-6151	67	8	derive	derive	VERB
ap-6151	67	9	the	the	DET
ap-6151	67	10	weak	weak	ADJ
ap-6151	67	11	formulation	formulation	NOUN
ap-6151	67	12	of	of	ADP
ap-6151	67	13	the	the	DET
ap-6151	67	14	problem	problem	NOUN
ap-6151	67	15	(	(	PUNCT
ap-6151	67	16	1	1	NUM
ap-6151	67	17	)	)	PUNCT
ap-6151	67	18	,	,	PUNCT
ap-6151	67	19	we	we	PRON
ap-6151	67	20	define	define	VERB
ap-6151	67	21	velocity	velocity	NOUN
ap-6151	67	22	solution	solution	NOUN
ap-6151	67	23	space	space	NOUN
ap-6151	67	24	v	v	NOUN
ap-6151	67	25	and	and	CCONJ
ap-6151	67	26	test	test	NOUN
ap-6151	67	27	function	function	NOUN
ap-6151	67	28	space	space	NOUN
ap-6151	67	29	v0	v0	NOUN
ap-6151	67	30	as	as	SCONJ
ap-6151	67	31	follows	follow	VERB
ap-6151	67	32	v	v	NOUN
ap-6151	67	33	=	=	SYM
ap-6151	67	34	{	{	PUNCT
ap-6151	67	35	u	u	NOUN
ap-6151	67	36	∈	∈	PROPN
ap-6151	67	37	h1(ω)d	h1(ω)d	NUM
ap-6151	67	38	|u	|u	ADJ
ap-6151	67	39	=	=	SYM
ap-6151	67	40	gd	gd	NOUN
ap-6151	67	41	on	on	ADP
ap-6151	67	42	∂ωd	∂ωd	NOUN
ap-6151	67	43	}	}	PUNCT
ap-6151	67	44	,	,	PUNCT
ap-6151	67	45	v0	v0	NOUN
ap-6151	67	46	=	=	SYM
ap-6151	67	47	{	{	PUNCT
ap-6151	67	48	v	v	NUM
ap-6151	67	49	∈	∈	NOUN
ap-6151	67	50	h1(ω)d	h1(ω)d	NUM
ap-6151	68	1	|v	|v	X
ap-6151	68	2	=	=	SYM
ap-6151	68	3	0	0	NUM
ap-6151	68	4	on	on	ADP
ap-6151	68	5	∂ωd	∂ωd	NOUN
ap-6151	68	6	}	}	PUNCT
ap-6151	68	7	,	,	PUNCT
ap-6151	68	8	(	(	PUNCT
ap-6151	68	9	3	3	X
ap-6151	68	10	)	)	PUNCT
ap-6151	68	11	34	34	NUM
ap-6151	68	12	vol	vol	NOUN
ap-6151	68	13	.	.	PUNCT
ap-6151	69	1	61	61	NUM
ap-6151	69	2	special	special	ADJ
ap-6151	69	3	issue/2021	issue/2021	NOUN
ap-6151	69	4	numerical	numerical	PROPN
ap-6151	69	5	simulation	simulation	PROPN
ap-6151	69	6	of	of	ADP
ap-6151	69	7	lid	lid	NOUN
ap-6151	69	8	-	-	PUNCT
ap-6151	69	9	driven	drive	VERB
ap-6151	69	10	cavity	cavity	NOUN
ap-6151	69	11	flow	flow	NOUN
ap-6151	69	12	by	by	ADP
ap-6151	69	13	isogeometric	isogeometric	ADJ
ap-6151	69	14	analysis	analysis	NOUN
ap-6151	69	15	where	where	SCONJ
ap-6151	69	16	the	the	DET
ap-6151	69	17	boundary	boundary	ADJ
ap-6151	69	18	equalities	equality	NOUN
ap-6151	69	19	are	be	AUX
ap-6151	69	20	understood	understand	VERB
ap-6151	69	21	in	in	ADP
ap-6151	69	22	the	the	DET
ap-6151	69	23	sense	sense	NOUN
ap-6151	69	24	of	of	ADP
ap-6151	69	25	traces	trace	NOUN
ap-6151	69	26	and	and	CCONJ
ap-6151	69	27	we	we	PRON
ap-6151	69	28	assume	assume	VERB
ap-6151	69	29	that	that	SCONJ
ap-6151	69	30	gd	gd	PROPN
ap-6151	69	31	∈	∈	PROPN
ap-6151	69	32	h1/2(∂ω)d	h1/2(∂ω)d	PROPN
ap-6151	69	33	.	.	PUNCT
ap-6151	70	1	by	by	ADP
ap-6151	70	2	multiplying	multiply	VERB
ap-6151	70	3	the	the	DET
ap-6151	70	4	first	first	ADJ
ap-6151	70	5	line	line	NOUN
ap-6151	70	6	of	of	ADP
ap-6151	70	7	(	(	PUNCT
ap-6151	70	8	1	1	NUM
ap-6151	70	9	)	)	PUNCT
ap-6151	70	10	by	by	ADP
ap-6151	70	11	a	a	DET
ap-6151	70	12	test	test	NOUN
ap-6151	70	13	function	function	NOUN
ap-6151	70	14	v	v	ADP
ap-6151	70	15	∈	∈	PROPN
ap-6151	70	16	v0	v0	NOUN
ap-6151	70	17	and	and	CCONJ
ap-6151	70	18	the	the	DET
ap-6151	70	19	second	second	ADJ
ap-6151	70	20	line	line	NOUN
ap-6151	70	21	by	by	ADP
ap-6151	70	22	a	a	DET
ap-6151	70	23	test	test	NOUN
ap-6151	70	24	function	function	NOUN
ap-6151	70	25	q	q	PROPN
ap-6151	70	26	∈	∈	PROPN
ap-6151	70	27	l2(ω	l2(ω	PROPN
ap-6151	70	28	)	)	PUNCT
ap-6151	70	29	,	,	PUNCT
ap-6151	70	30	integrating	integrate	VERB
ap-6151	70	31	over	over	ADP
ap-6151	70	32	ω	ω	NOUN
ap-6151	70	33	and	and	CCONJ
ap-6151	70	34	using	use	VERB
ap-6151	70	35	green	green	PROPN
ap-6151	70	36	’s	’s	PART
ap-6151	70	37	theorem	theorem	NOUN
ap-6151	70	38	,	,	PUNCT
ap-6151	70	39	we	we	PRON
ap-6151	70	40	obtain	obtain	VERB
ap-6151	70	41	the	the	DET
ap-6151	70	42	weak	weak	ADJ
ap-6151	70	43	formulation	formulation	NOUN
ap-6151	70	44	:	:	PUNCT
ap-6151	70	45	find	find	VERB
ap-6151	70	46	u	u	PRON
ap-6151	70	47	=	=	PUNCT
ap-6151	70	48	(	(	PUNCT
ap-6151	70	49	u1	u1	PROPN
ap-6151	70	50	,	,	PUNCT
ap-6151	70	51	.	.	PUNCT
ap-6151	70	52	.	.	PUNCT
ap-6151	71	1	.	.	PUNCT
ap-6151	72	1	,	,	PUNCT
ap-6151	72	2	ud	ud	INTJ
ap-6151	72	3	)	)	PUNCT
ap-6151	72	4	∈	∈	PROPN
ap-6151	72	5	v	v	NOUN
ap-6151	72	6	and	and	CCONJ
ap-6151	72	7	p	p	NOUN
ap-6151	72	8	∈	∈	PROPN
ap-6151	72	9	l2(ω	l2(ω	NOUN
ap-6151	72	10	)	)	PUNCT
ap-6151	72	11	such	such	ADJ
ap-6151	72	12	that	that	SCONJ
ap-6151	72	13	ν	ν	PROPN
ap-6151	72	14	∫	∫	PROPN
ap-6151	72	15	ω	ω	PROPN
ap-6151	72	16	∇u	∇u	PROPN
ap-6151	72	17	:	:	PUNCT
ap-6151	73	1	∇v	∇v	ADJ
ap-6151	73	2	+	+	CCONJ
ap-6151	73	3	∫	∫	PROPN
ap-6151	73	4	ω	ω	PROPN
ap-6151	73	5	(	(	PUNCT
ap-6151	73	6	u	u	NOUN
ap-6151	73	7	·	·	PUNCT
ap-6151	73	8	∇u	∇u	PROPN
ap-6151	73	9	)	)	PUNCT
ap-6151	73	10	·	·	PUNCT
ap-6151	73	11	v−	v−	PROPN
ap-6151	73	12	∫	∫	PROPN
ap-6151	73	13	ω	ω	NUM
ap-6151	74	1	p∇	p∇	PROPN
ap-6151	74	2	·	·	PUNCT
ap-6151	74	3	v	v	X
ap-6151	74	4	=	=	SYM
ap-6151	74	5	0,∫	0,∫	PROPN
ap-6151	74	6	ω	ω	NUM
ap-6151	74	7	q∇	q∇	ADJ
ap-6151	74	8	·	·	PUNCT
ap-6151	74	9	u	u	NOUN
ap-6151	74	10	=	=	SYM
ap-6151	74	11	0	0	NUM
ap-6151	74	12	(	(	PUNCT
ap-6151	74	13	4	4	NUM
ap-6151	74	14	)	)	PUNCT
ap-6151	74	15	for	for	ADP
ap-6151	74	16	all	all	PRON
ap-6151	74	17	v	v	NOUN
ap-6151	74	18	=	=	SYM
ap-6151	74	19	(	(	PUNCT
ap-6151	74	20	v1	v1	NOUN
ap-6151	74	21	,	,	PUNCT
ap-6151	74	22	.	.	PUNCT
ap-6151	74	23	.	.	PUNCT
ap-6151	74	24	.	.	PUNCT
ap-6151	75	1	,	,	PUNCT
ap-6151	75	2	vd	vd	NOUN
ap-6151	75	3	)	)	PUNCT
ap-6151	75	4	∈	∈	NOUN
ap-6151	75	5	v0	v0	NOUN
ap-6151	75	6	and	and	CCONJ
ap-6151	75	7	q	q	NOUN
ap-6151	75	8	∈	∈	PROPN
ap-6151	75	9	l2(ω	l2(ω	PROPN
ap-6151	75	10	)	)	PUNCT
ap-6151	75	11	,	,	PUNCT
ap-6151	75	12	where	where	SCONJ
ap-6151	75	13	∇u	∇u	ADJ
ap-6151	75	14	:	:	PUNCT
ap-6151	76	1	∇v	∇v	ADV
ap-6151	76	2	=	=	PUNCT
ap-6151	76	3	d∑	d∑	PROPN
ap-6151	76	4	i=1	i=1	X
ap-6151	77	1	∇ui	∇ui	NOUN
ap-6151	77	2	·	·	PUNCT
ap-6151	78	1	∇vi	∇vi	NOUN
ap-6151	78	2	=	=	SYM
ap-6151	78	3	d∑	d∑	PROPN
ap-6151	78	4	i=1	i=1	X
ap-6151	79	1	d∑	d∑	PROPN
ap-6151	80	1	j=1	j=1	PROPN
ap-6151	80	2	∂ui	∂ui	PROPN
ap-6151	80	3	∂xj	∂xj	NOUN
ap-6151	80	4	∂vi	∂vi	VERB
ap-6151	80	5	∂xj	∂xj	NOUN
ap-6151	80	6	,	,	PUNCT
ap-6151	80	7	(	(	PUNCT
ap-6151	80	8	u	u	NOUN
ap-6151	80	9	·	·	SYM
ap-6151	80	10	∇u	∇u	PROPN
ap-6151	80	11	)	)	PUNCT
ap-6151	80	12	·	·	PUNCT
ap-6151	81	1	v	v	X
ap-6151	81	2	=	=	SYM
ap-6151	81	3	d∑	d∑	PROPN
ap-6151	81	4	i=1	i=1	X
ap-6151	82	1	d∑	d∑	PROPN
ap-6151	83	1	j=1	j=1	PROPN
ap-6151	83	2	uj	uj	PROPN
ap-6151	83	3	∂ui	∂ui	PROPN
ap-6151	83	4	∂xj	∂xj	PROPN
ap-6151	83	5	vi	vi	NOUN
ap-6151	83	6	.	.	PUNCT
ap-6151	84	1	the	the	DET
ap-6151	84	2	idea	idea	NOUN
ap-6151	84	3	of	of	ADP
ap-6151	84	4	galerkin	galerkin	ADJ
ap-6151	84	5	discretization	discretization	NOUN
ap-6151	84	6	method	method	NOUN
ap-6151	84	7	is	be	AUX
ap-6151	84	8	to	to	PART
ap-6151	84	9	define	define	VERB
ap-6151	84	10	finite	finite	ADJ
ap-6151	84	11	dimensional	dimensional	ADJ
ap-6151	84	12	subspaces	subspace	NOUN
ap-6151	84	13	v	v	ADP
ap-6151	84	14	h	h	NOUN
ap-6151	84	15	⊂	⊂	PROPN
ap-6151	84	16	v	v	PROPN
ap-6151	84	17	,	,	PUNCT
ap-6151	84	18	v	v	PROPN
ap-6151	84	19	h0	h0	PROPN
ap-6151	84	20	⊂	⊂	PROPN
ap-6151	84	21	v0	v0	PROPN
ap-6151	84	22	,	,	PUNCT
ap-6151	84	23	wh	wh	VERB
ap-6151	84	24	⊂	⊂	PROPN
ap-6151	84	25	l2(ω	l2(ω	PROPN
ap-6151	84	26	)	)	PUNCT
ap-6151	84	27	together	together	ADV
ap-6151	84	28	with	with	ADP
ap-6151	84	29	their	their	PRON
ap-6151	84	30	basis	basis	NOUN
ap-6151	84	31	functions	function	NOUN
ap-6151	84	32	and	and	CCONJ
ap-6151	84	33	solve	solve	VERB
ap-6151	84	34	the	the	DET
ap-6151	84	35	problem	problem	NOUN
ap-6151	84	36	projected	project	VERB
ap-6151	84	37	into	into	ADP
ap-6151	84	38	these	these	DET
ap-6151	84	39	subspaces	subspace	NOUN
ap-6151	84	40	.	.	PUNCT
ap-6151	85	1	then	then	ADV
ap-6151	85	2	,	,	PUNCT
ap-6151	85	3	the	the	DET
ap-6151	85	4	discrete	discrete	ADJ
ap-6151	85	5	weak	weak	ADJ
ap-6151	85	6	solutions	solution	NOUN
ap-6151	85	7	uh	uh	INTJ
ap-6151	85	8	∈	∈	PROPN
ap-6151	85	9	v	v	NOUN
ap-6151	85	10	h	h	NOUN
ap-6151	85	11	and	and	CCONJ
ap-6151	85	12	ph	ph	PROPN
ap-6151	85	13	∈	∈	PROPN
ap-6151	85	14	wh	wh	NOUN
ap-6151	85	15	are	be	AUX
ap-6151	85	16	searched	search	VERB
ap-6151	85	17	such	such	ADJ
ap-6151	85	18	that	that	SCONJ
ap-6151	85	19	ν	ν	PROPN
ap-6151	85	20	∫	∫	PROPN
ap-6151	85	21	ω	ω	PROPN
ap-6151	85	22	∇uh	∇uh	PROPN
ap-6151	85	23	:	:	PUNCT
ap-6151	85	24	∇vh	∇vh	NOUN
ap-6151	85	25	+	+	CCONJ
ap-6151	85	26	∫	∫	PROPN
ap-6151	85	27	ω	ω	PROPN
ap-6151	85	28	(	(	PUNCT
ap-6151	85	29	uh	uh	INTJ
ap-6151	85	30	·	·	SYM
ap-6151	85	31	∇uh	∇uh	NOUN
ap-6151	85	32	)	)	PUNCT
ap-6151	85	33	·	·	PUNCT
ap-6151	85	34	vh−	vh−	X
ap-6151	85	35	−	−	NUM
ap-6151	86	1	∫	∫	PROPN
ap-6151	86	2	ω	ω	NUM
ap-6151	86	3	ph∇	ph∇	X
ap-6151	86	4	·	·	PUNCT
ap-6151	86	5	vh	vh	PROPN
ap-6151	86	6	=	=	SYM
ap-6151	86	7	0,∫	0,∫	PROPN
ap-6151	86	8	ω	ω	PROPN
ap-6151	86	9	qh∇	qh∇	PRON
ap-6151	86	10	·	·	PUNCT
ap-6151	86	11	uh	uh	INTJ
ap-6151	86	12	=	=	SYM
ap-6151	86	13	0	0	NUM
ap-6151	86	14	(	(	PUNCT
ap-6151	86	15	5	5	NUM
ap-6151	86	16	)	)	PUNCT
ap-6151	86	17	for	for	ADP
ap-6151	86	18	all	all	DET
ap-6151	86	19	vh	vh	PROPN
ap-6151	86	20	∈	∈	PROPN
ap-6151	86	21	v	v	ADP
ap-6151	86	22	h0	h0	PROPN
ap-6151	86	23	and	and	CCONJ
ap-6151	86	24	qh	qh	NOUN
ap-6151	86	25	∈wh	∈wh	NOUN
ap-6151	86	26	.	.	PUNCT
ap-6151	87	1	because	because	SCONJ
ap-6151	87	2	of	of	ADP
ap-6151	87	3	the	the	DET
ap-6151	87	4	non	non	NOUN
ap-6151	87	5	-	-	NOUN
ap-6151	87	6	linearity	linearity	NOUN
ap-6151	87	7	in	in	ADP
ap-6151	87	8	the	the	DET
ap-6151	87	9	convective	convective	ADJ
ap-6151	87	10	term	term	NOUN
ap-6151	87	11	,	,	PUNCT
ap-6151	87	12	the	the	DET
ap-6151	87	13	problem	problem	NOUN
ap-6151	87	14	needs	need	VERB
ap-6151	87	15	to	to	PART
ap-6151	87	16	be	be	AUX
ap-6151	87	17	linearized	linearize	VERB
ap-6151	87	18	and	and	CCONJ
ap-6151	87	19	solved	solve	VERB
ap-6151	87	20	iteratively	iteratively	ADV
ap-6151	87	21	.	.	PUNCT
ap-6151	88	1	using	use	VERB
ap-6151	88	2	picard	picard	PROPN
ap-6151	88	3	’s	’s	PART
ap-6151	88	4	iteration	iteration	NOUN
ap-6151	88	5	method	method	NOUN
ap-6151	88	6	,	,	PUNCT
ap-6151	88	7	we	we	PRON
ap-6151	88	8	search	search	VERB
ap-6151	88	9	un+1	un+1	NOUN
ap-6151	88	10	h	h	NOUN
ap-6151	88	11	∈	∈	PROPN
ap-6151	88	12	v	v	ADP
ap-6151	88	13	h	h	NOUN
ap-6151	88	14	and	and	CCONJ
ap-6151	88	15	pn+1	pn+1	PROPN
ap-6151	88	16	h	h	NOUN
ap-6151	88	17	∈	∈	PROPN
ap-6151	88	18	wh	wh	NOUN
ap-6151	88	19	as	as	ADP
ap-6151	88	20	a	a	DET
ap-6151	88	21	solution	solution	NOUN
ap-6151	88	22	of	of	ADP
ap-6151	88	23	the	the	DET
ap-6151	88	24	following	follow	VERB
ap-6151	88	25	oseen	oseen	NOUN
ap-6151	88	26	problem	problem	NOUN
ap-6151	88	27	ν	ν	PROPN
ap-6151	88	28	∫	∫	PROPN
ap-6151	88	29	ω	ω	PROPN
ap-6151	88	30	∇un+1	∇un+1	PROPN
ap-6151	88	31	h	h	NOUN
ap-6151	88	32	:	:	PUNCT
ap-6151	89	1	∇vh	∇vh	NOUN
ap-6151	89	2	+	+	CCONJ
ap-6151	89	3	∫	∫	PROPN
ap-6151	89	4	ω	ω	PROPN
ap-6151	89	5	(	(	PUNCT
ap-6151	89	6	unh	unh	PROPN
ap-6151	89	7	·	·	SYM
ap-6151	89	8	∇un+1	∇un+1	NOUN
ap-6151	89	9	h	h	NOUN
ap-6151	89	10	)	)	PUNCT
ap-6151	89	11	·	·	PUNCT
ap-6151	90	1	vh	vh	PROPN
ap-6151	90	2	−	−	PROPN
ap-6151	90	3	(	(	PUNCT
ap-6151	90	4	6	6	NUM
ap-6151	90	5	)	)	PUNCT
ap-6151	90	6	−	−	PROPN
ap-6151	90	7	∫	∫	PROPN
ap-6151	91	1	ω	ω	PROPN
ap-6151	91	2	pn+1	pn+1	PROPN
ap-6151	91	3	h	h	PROPN
ap-6151	91	4	∇	∇	X
ap-6151	91	5	·	·	PUNCT
ap-6151	91	6	vh	vh	X
ap-6151	91	7	=	=	SYM
ap-6151	91	8	0	0	PROPN
ap-6151	91	9	,	,	PUNCT
ap-6151	91	10	∫	∫	PROPN
ap-6151	91	11	ω	ω	PROPN
ap-6151	91	12	qh∇	qh∇	PRON
ap-6151	91	13	·	·	PUNCT
ap-6151	91	14	un+1	un+1	NUM
ap-6151	91	15	h	h	NOUN
ap-6151	91	16	=	=	NOUN
ap-6151	91	17	0	0	NUM
ap-6151	91	18	for	for	ADP
ap-6151	91	19	all	all	DET
ap-6151	91	20	vh	vh	PROPN
ap-6151	91	21	∈	∈	PROPN
ap-6151	91	22	v	v	ADP
ap-6151	91	23	h0	h0	PROPN
ap-6151	91	24	and	and	CCONJ
ap-6151	91	25	qh	qh	NOUN
ap-6151	91	26	∈	∈	PROPN
ap-6151	91	27	wh	wh	PROPN
ap-6151	91	28	.	.	PUNCT
ap-6151	92	1	the	the	DET
ap-6151	92	2	initial	initial	ADJ
ap-6151	92	3	guess	guess	NOUN
ap-6151	92	4	u0	u0	ADJ
ap-6151	92	5	is	be	AUX
ap-6151	92	6	often	often	ADV
ap-6151	92	7	chosen	choose	VERB
ap-6151	92	8	to	to	PART
ap-6151	92	9	be	be	AUX
ap-6151	92	10	zero	zero	NUM
ap-6151	92	11	,	,	PUNCT
ap-6151	92	12	which	which	PRON
ap-6151	92	13	means	mean	VERB
ap-6151	92	14	solving	solve	VERB
ap-6151	92	15	the	the	DET
ap-6151	92	16	stokes	stoke	NOUN
ap-6151	92	17	equations	equation	NOUN
ap-6151	92	18	in	in	ADP
ap-6151	92	19	the	the	DET
ap-6151	92	20	first	first	ADJ
ap-6151	92	21	picard	picard	NOUN
ap-6151	92	22	iteration	iteration	NOUN
ap-6151	92	23	.	.	PUNCT
ap-6151	93	1	particular	particular	ADJ
ap-6151	93	2	galerkin	galerkin	ADV
ap-6151	93	3	-	-	PUNCT
ap-6151	93	4	based	base	VERB
ap-6151	93	5	discretization	discretization	NOUN
ap-6151	93	6	methods	method	NOUN
ap-6151	93	7	are	be	AUX
ap-6151	93	8	then	then	ADV
ap-6151	93	9	defined	define	VERB
ap-6151	93	10	by	by	ADP
ap-6151	93	11	the	the	DET
ap-6151	93	12	choice	choice	NOUN
ap-6151	93	13	of	of	ADP
ap-6151	93	14	the	the	DET
ap-6151	93	15	subspaces	subspace	NOUN
ap-6151	93	16	and	and	CCONJ
ap-6151	93	17	their	their	PRON
ap-6151	93	18	basis	basis	NOUN
ap-6151	93	19	functions	function	NOUN
ap-6151	93	20	.	.	PUNCT
ap-6151	94	1	considering	consider	VERB
ap-6151	94	2	the	the	DET
ap-6151	94	3	basis	basis	NOUN
ap-6151	94	4	of	of	ADP
ap-6151	94	5	v	v	PROPN
ap-6151	94	6	h0	h0	NOUN
ap-6151	94	7	formed	form	VERB
ap-6151	94	8	by	by	ADP
ap-6151	94	9	vector	vector	NOUN
ap-6151	94	10	functions	function	NOUN
ap-6151	94	11	(	(	PUNCT
ap-6151	94	12	qui	qui	X
ap-6151	94	13	(	(	PUNCT
ap-6151	94	14	x	x	NOUN
ap-6151	94	15	)	)	PUNCT
ap-6151	94	16	,	,	PUNCT
ap-6151	94	17	0	0	NUM
ap-6151	94	18	,	,	PUNCT
ap-6151	94	19	.	.	PUNCT
ap-6151	94	20	.	.	PUNCT
ap-6151	95	1	.	.	PUNCT
ap-6151	96	1	,	,	PUNCT
ap-6151	96	2	0︸	0︸	X
ap-6151	97	1	︷︷	︷︷	NOUN
ap-6151	97	2	︸	︸	X
ap-6151	98	1	d	d	NOUN
ap-6151	98	2	)	)	PUNCT
ap-6151	98	3	,	,	PUNCT
ap-6151	98	4	.	.	PUNCT
ap-6151	98	5	.	.	PUNCT
ap-6151	98	6	.	.	PUNCT
ap-6151	99	1	,	,	PUNCT
ap-6151	99	2	(	(	PUNCT
ap-6151	99	3	0	0	NUM
ap-6151	99	4	,	,	PUNCT
ap-6151	99	5	.	.	PUNCT
ap-6151	99	6	.	.	PUNCT
ap-6151	99	7	.	.	PUNCT
ap-6151	100	1	,	,	PUNCT
ap-6151	100	2	0	0	NUM
ap-6151	100	3	,	,	PUNCT
ap-6151	100	4	qui	qui	X
ap-6151	100	5	(	(	PUNCT
ap-6151	100	6	x)︸	x)︸	PROPN
ap-6151	100	7	︷︷	︷︷	PROPN
ap-6151	100	8	︸	︸	X
ap-6151	101	1	d	d	PROPN
ap-6151	101	2	)	)	PUNCT
ap-6151	101	3	,	,	PUNCT
ap-6151	101	4	i	i	PRON
ap-6151	101	5	=	=	NOUN
ap-6151	101	6	1	1	NUM
ap-6151	101	7	,	,	PUNCT
ap-6151	101	8	.	.	PUNCT
ap-6151	101	9	.	.	PUNCT
ap-6151	101	10	.	.	PUNCT
ap-6151	102	1	,	,	PUNCT
ap-6151	102	2	nu	nu	NOUN
ap-6151	102	3	and	and	CCONJ
ap-6151	102	4	the	the	DET
ap-6151	102	5	basis	basis	NOUN
ap-6151	102	6	of	of	ADP
ap-6151	102	7	wh	wh	PRON
ap-6151	102	8	formed	form	VERB
ap-6151	102	9	by	by	ADP
ap-6151	102	10	functions	function	NOUN
ap-6151	102	11	qpi	qpi	VERB
ap-6151	102	12	(	(	PUNCT
ap-6151	102	13	x	x	NOUN
ap-6151	102	14	)	)	PUNCT
ap-6151	102	15	,	,	PUNCT
ap-6151	102	16	i	i	PRON
ap-6151	102	17	=	=	NOUN
ap-6151	102	18	1	1	NUM
ap-6151	102	19	,	,	PUNCT
ap-6151	102	20	.	.	PUNCT
ap-6151	102	21	.	.	PUNCT
ap-6151	103	1	.	.	PUNCT
ap-6151	104	1	,	,	PUNCT
ap-6151	104	2	np	np	INTJ
ap-6151	104	3	,	,	PUNCT
ap-6151	104	4	we	we	PRON
ap-6151	104	5	obtain	obtain	VERB
ap-6151	104	6	after	after	ADP
ap-6151	104	7	discretization	discretization	NOUN
ap-6151	104	8	a	a	DET
ap-6151	104	9	nonsymmetric	nonsymmetric	ADJ
ap-6151	104	10	saddle	saddle	NOUN
ap-6151	104	11	-	-	PUNCT
ap-6151	104	12	point	point	NOUN
ap-6151	104	13	linear	linear	NOUN
ap-6151	104	14	system	system	NOUN
ap-6151	104	15	of	of	ADP
ap-6151	104	16	the	the	DET
ap-6151	104	17	form	form	NOUN
ap-6151	104	18	[	[	PUNCT
ap-6151	104	19	f	f	PROPN
ap-6151	104	20	−bt	−bt	PROPN
ap-6151	104	21	b	b	PROPN
ap-6151	104	22	0	0	NUM
ap-6151	104	23	]	]	PUNCT
ap-6151	104	24	[	[	PUNCT
ap-6151	104	25	u	u	X
ap-6151	104	26	p	p	X
ap-6151	104	27	]	]	X
ap-6151	104	28	=	=	PUNCT
ap-6151	105	1	[	[	PUNCT
ap-6151	105	2	f	f	X
ap-6151	105	3	g	g	NOUN
ap-6151	105	4	]	]	PUNCT
ap-6151	105	5	,	,	PUNCT
ap-6151	105	6	(	(	PUNCT
ap-6151	105	7	7	7	X
ap-6151	105	8	)	)	PUNCT
ap-6151	105	9	where	where	SCONJ
ap-6151	105	10	f	f	PROPN
ap-6151	105	11	∈	∈	PROPN
ap-6151	105	12	rd·nu×d·nu	rd·nu×d·nu	NOUN
ap-6151	105	13	is	be	AUX
ap-6151	105	14	block	block	NOUN
ap-6151	105	15	diagonal	diagonal	ADJ
ap-6151	105	16	with	with	ADP
ap-6151	105	17	the	the	DET
ap-6151	105	18	diagonal	diagonal	ADJ
ap-6151	105	19	blocks	block	NOUN
ap-6151	105	20	consisting	consist	VERB
ap-6151	105	21	of	of	ADP
ap-6151	105	22	the	the	DET
ap-6151	105	23	discretization	discretization	NOUN
ap-6151	105	24	of	of	ADP
ap-6151	105	25	the	the	DET
ap-6151	105	26	viscous	viscous	ADJ
ap-6151	105	27	term	term	NOUN
ap-6151	105	28	and	and	CCONJ
ap-6151	105	29	the	the	DET
ap-6151	105	30	linearized	linearize	VERB
ap-6151	105	31	convective	convective	ADJ
ap-6151	105	32	term	term	NOUN
ap-6151	105	33	,	,	PUNCT
ap-6151	105	34	i.e.	i.e.	X
ap-6151	105	35	,	,	PUNCT
ap-6151	105	36	f	f	PROPN
ap-6151	105	37	=	=	PUNCT
ap-6151	105	38	diag	diag	PROPN
ap-6151	105	39	(	(	PUNCT
ap-6151	105	40	a	a	DET
ap-6151	105	41	+	+	X
ap-6151	105	42	n(unh	n(unh	ADJ
ap-6151	105	43	)	)	PUNCT
ap-6151	105	44	,	,	PUNCT
ap-6151	105	45	.	.	PUNCT
ap-6151	105	46	.	.	PUNCT
ap-6151	105	47	.	.	PUNCT
ap-6151	106	1	,	,	PUNCT
ap-6151	106	2	a	a	DET
ap-6151	106	3	+	+	NUM
ap-6151	106	4	n(unh)︸	n(unh)︸	PROPN
ap-6151	106	5	︷︷	︷︷	PROPN
ap-6151	106	6	︸	︸	X
ap-6151	106	7	d	d	PROPN
ap-6151	106	8	)	)	PUNCT
ap-6151	106	9	and	and	CCONJ
ap-6151	106	10	a	a	PRON
ap-6151	106	11	=	=	X
ap-6151	107	1	[	[	X
ap-6151	107	2	aij	aij	X
ap-6151	107	3	]	]	X
ap-6151	107	4	=	=	SYM
ap-6151	107	5	ν	ν	NUM
ap-6151	107	6	∫	∫	PROPN
ap-6151	108	1	ω	ω	NUM
ap-6151	108	2	∇qui	∇qui	X
ap-6151	108	3	(	(	PUNCT
ap-6151	108	4	x	x	NOUN
ap-6151	108	5	)	)	PUNCT
ap-6151	108	6	·	·	PUNCT
ap-6151	109	1	∇quj	∇quj	INTJ
ap-6151	109	2	(	(	PUNCT
ap-6151	109	3	x)dω	x)dω	ADJ
ap-6151	109	4			NOUN
ap-6151	109	5	,	,	PUNCT
ap-6151	109	6	n(u	n(u	PROPN
ap-6151	109	7	)	)	PUNCT
ap-6151	109	8	=	=	PUNCT
ap-6151	110	1	[	[	X
ap-6151	110	2	nij(u	nij(u	NOUN
ap-6151	110	3	)	)	PUNCT
ap-6151	110	4	]	]	PUNCT
ap-6151	111	1	=	=	PUNCT
ap-6151	111	2	∫	∫	PROPN
ap-6151	111	3	ω	ω	NUM
ap-6151	111	4	qui	qui	X
ap-6151	111	5	(	(	PUNCT
ap-6151	111	6	x	x	X
ap-6151	111	7	)	)	PUNCT
ap-6151	111	8	(	(	PUNCT
ap-6151	111	9	u	u	X
ap-6151	111	10	·	·	PUNCT
ap-6151	111	11	∇quj	∇quj	INTJ
ap-6151	111	12	(	(	PUNCT
ap-6151	111	13	x	x	NOUN
ap-6151	111	14	)	)	PUNCT
ap-6151	111	15	)	)	PUNCT
ap-6151	111	16	dω	dω	ADP
ap-6151	111	17			NOUN
ap-6151	111	18	,	,	PUNCT
ap-6151	111	19	bt	bt	NOUN
ap-6151	111	20	∈	∈	NOUN
ap-6151	111	21	rd·nu×np	rd·nu×np	NOUN
ap-6151	111	22	and	and	CCONJ
ap-6151	111	23	b	b	PROPN
ap-6151	111	24	∈	∈	PROPN
ap-6151	111	25	rnp×d·nu	rnp×d·nu	NOUN
ap-6151	111	26	consist	consist	NOUN
ap-6151	111	27	of	of	ADP
ap-6151	111	28	d	d	NOUN
ap-6151	111	29	blocks	block	NOUN
ap-6151	111	30	,	,	PUNCT
ap-6151	111	31	i.e.	i.e.	X
ap-6151	111	32	,	,	PUNCT
ap-6151	111	33	b	b	X
ap-6151	111	34	=	=	SYM
ap-6151	111	35	[	[	PUNCT
ap-6151	111	36	b1	b1	NOUN
ap-6151	111	37	,	,	PUNCT
ap-6151	111	38	.	.	PUNCT
ap-6151	111	39	.	.	PUNCT
ap-6151	111	40	.	.	PUNCT
ap-6151	112	1	,	,	PUNCT
ap-6151	112	2	bd	bd	PROPN
ap-6151	112	3	]	]	PUNCT
ap-6151	112	4	and	and	CCONJ
ap-6151	112	5	bm	bm	PROPN
ap-6151	112	6	=	=	PUNCT
ap-6151	113	1	[	[	X
ap-6151	113	2	bmij	bmij	X
ap-6151	113	3	]	]	X
ap-6151	113	4	=	=	PUNCT
ap-6151	113	5	∫	∫	PROPN
ap-6151	113	6	ω	ω	NUM
ap-6151	113	7	qpi	qpi	PROPN
ap-6151	113	8	(	(	PUNCT
ap-6151	113	9	x	x	X
ap-6151	113	10	)	)	PUNCT
ap-6151	113	11	(	(	PUNCT
ap-6151	113	12	∇quj	∇quj	INTJ
ap-6151	113	13	(	(	PUNCT
ap-6151	113	14	x	x	NOUN
ap-6151	113	15	)	)	PUNCT
ap-6151	113	16	·	·	PUNCT
ap-6151	113	17	em	em	PRON
ap-6151	113	18	)	)	PUNCT
ap-6151	113	19	dω	dω	ADP
ap-6151	113	20			NOUN
ap-6151	113	21	.	.	PUNCT
ap-6151	114	1	as	as	SCONJ
ap-6151	114	2	the	the	DET
ap-6151	114	3	right	right	ADJ
ap-6151	114	4	-	-	PUNCT
ap-6151	114	5	hand	hand	NOUN
ap-6151	114	6	side	side	NOUN
ap-6151	114	7	of	of	ADP
ap-6151	114	8	(	(	PUNCT
ap-6151	114	9	4	4	NUM
ap-6151	114	10	)	)	PUNCT
ap-6151	114	11	is	be	AUX
ap-6151	114	12	equal	equal	ADJ
ap-6151	114	13	to	to	ADP
ap-6151	114	14	zero	zero	NUM
ap-6151	114	15	,	,	PUNCT
ap-6151	114	16	f	f	PROPN
ap-6151	114	17	and	and	CCONJ
ap-6151	114	18	g	g	PROPN
ap-6151	114	19	only	only	ADV
ap-6151	114	20	reflect	reflect	VERB
ap-6151	114	21	the	the	DET
ap-6151	114	22	given	give	VERB
ap-6151	114	23	boundary	boundary	ADJ
ap-6151	114	24	conditions	condition	NOUN
ap-6151	114	25	.	.	PUNCT
ap-6151	115	1	2.2	2.2	NUM
ap-6151	115	2	.	.	PUNCT
ap-6151	116	1	lbb	lbb	PROPN
ap-6151	116	2	condition	condition	NOUN
ap-6151	116	3	to	to	PART
ap-6151	116	4	get	get	VERB
ap-6151	116	5	a	a	DET
ap-6151	116	6	stable	stable	ADJ
ap-6151	116	7	galerkin	galerkin	ADJ
ap-6151	116	8	discretization	discretization	NOUN
ap-6151	116	9	of	of	ADP
ap-6151	116	10	a	a	DET
ap-6151	116	11	saddlepoint	saddlepoint	NOUN
ap-6151	116	12	problem	problem	NOUN
ap-6151	116	13	,	,	PUNCT
ap-6151	116	14	the	the	DET
ap-6151	116	15	so	so	ADV
ap-6151	116	16	-	-	PUNCT
ap-6151	116	17	called	call	VERB
ap-6151	116	18	lbb	lbb	PROPN
ap-6151	116	19	(	(	PUNCT
ap-6151	116	20	or	or	CCONJ
ap-6151	116	21	inf	inf	ADJ
ap-6151	116	22	-	-	PUNCT
ap-6151	116	23	sup	sup	NOUN
ap-6151	116	24	)	)	PUNCT
ap-6151	116	25	condition	condition	NOUN
ap-6151	116	26	(	(	PUNCT
ap-6151	116	27	see	see	VERB
ap-6151	116	28	[	[	X
ap-6151	116	29	44	44	NUM
ap-6151	116	30	]	]	SYM
ap-6151	116	31	)	)	PUNCT
ap-6151	116	32	inf	inf	NOUN
ap-6151	116	33	q∈wh\{0	q∈wh\{0	PROPN
ap-6151	116	34	}	}	PUNCT
ap-6151	116	35	sup	sup	PROPN
ap-6151	116	36	v∈v	v∈v	NOUN
ap-6151	116	37	h\{0	h\{0	PROPN
ap-6151	116	38	}	}	PUNCT
ap-6151	116	39	∫	∫	PROPN
ap-6151	116	40	ω	ω	NUM
ap-6151	116	41	q∇	q∇	ADJ
ap-6151	116	42	·	·	PUNCT
ap-6151	116	43	v	v	X
ap-6151	116	44	||v||h1(ω)d	||v||h1(ω)d	NOUN
ap-6151	116	45	||q||l2(ω	||q||l2(ω	ADV
ap-6151	116	46	)	)	PUNCT
ap-6151	116	47	≥	≥	NOUN
ap-6151	116	48	β	β	X
ap-6151	116	49	>	>	X
ap-6151	116	50	0	0	PUNCT
ap-6151	117	1	(	(	PUNCT
ap-6151	117	2	8)	8)	NUM
ap-6151	117	3	has	have	VERB
ap-6151	117	4	to	to	PART
ap-6151	117	5	be	be	AUX
ap-6151	117	6	satisfied	satisfied	ADJ
ap-6151	117	7	,	,	PUNCT
ap-6151	117	8	where	where	SCONJ
ap-6151	117	9	β	β	PROPN
ap-6151	117	10	is	be	AUX
ap-6151	117	11	a	a	DET
ap-6151	117	12	constant	constant	ADJ
ap-6151	117	13	independent	independent	NOUN
ap-6151	117	14	of	of	ADP
ap-6151	117	15	the	the	DET
ap-6151	117	16	mesh	mesh	NOUN
ap-6151	117	17	.	.	PUNCT
ap-6151	118	1	here	here	ADV
ap-6151	118	2	,	,	PUNCT
ap-6151	118	3	we	we	PRON
ap-6151	118	4	consider	consider	VERB
ap-6151	118	5	only	only	ADV
ap-6151	118	6	the	the	DET
ap-6151	118	7	case	case	NOUN
ap-6151	118	8	of	of	ADP
ap-6151	118	9	so	so	ADV
ap-6151	118	10	-	-	PUNCT
ap-6151	118	11	called	call	VERB
ap-6151	118	12	inf	inf	ADJ
ap-6151	118	13	-	-	PUNCT
ap-6151	118	14	sup	sup	NOUN
ap-6151	118	15	stable	stable	ADJ
ap-6151	118	16	combinations	combination	NOUN
ap-6151	118	17	of	of	ADP
ap-6151	118	18	velocity	velocity	NOUN
ap-6151	118	19	and	and	CCONJ
ap-6151	118	20	pressure	pressure	NOUN
ap-6151	118	21	spaces	space	NOUN
ap-6151	118	22	ensuring	ensure	VERB
ap-6151	118	23	that	that	SCONJ
ap-6151	118	24	the	the	DET
ap-6151	118	25	inf	inf	ADJ
ap-6151	118	26	-	-	PUNCT
ap-6151	118	27	sup	sup	NOUN
ap-6151	118	28	condition	condition	NOUN
ap-6151	118	29	is	be	AUX
ap-6151	118	30	satisfied	satisfied	ADJ
ap-6151	118	31	.	.	PUNCT
ap-6151	119	1	in	in	ADP
ap-6151	119	2	standard	standard	ADJ
ap-6151	119	3	finite	finite	ADJ
ap-6151	119	4	elements	element	NOUN
ap-6151	119	5	,	,	PUNCT
ap-6151	119	6	there	there	PRON
ap-6151	119	7	are	be	VERB
ap-6151	119	8	several	several	ADJ
ap-6151	119	9	known	know	VERB
ap-6151	119	10	types	type	NOUN
ap-6151	119	11	of	of	ADP
ap-6151	119	12	stable	stable	ADJ
ap-6151	119	13	elements	element	NOUN
ap-6151	119	14	.	.	PUNCT
ap-6151	120	1	one	one	NUM
ap-6151	120	2	of	of	ADP
ap-6151	120	3	the	the	DET
ap-6151	120	4	most	most	ADV
ap-6151	120	5	popular	popular	ADJ
ap-6151	120	6	is	be	AUX
ap-6151	120	7	a	a	DET
ap-6151	120	8	taylor	taylor	PROPN
ap-6151	120	9	–	–	PUNCT
ap-6151	120	10	hood	hood	NOUN
ap-6151	120	11	element	element	NOUN
ap-6151	120	12	,	,	PUNCT
ap-6151	120	13	where	where	SCONJ
ap-6151	120	14	basis	basis	NOUN
ap-6151	120	15	functions	function	NOUN
ap-6151	120	16	of	of	ADP
ap-6151	120	17	degree	degree	NOUN
ap-6151	120	18	k	k	PROPN
ap-6151	120	19	are	be	AUX
ap-6151	120	20	used	use	VERB
ap-6151	120	21	to	to	PART
ap-6151	120	22	approximate	approximate	VERB
ap-6151	120	23	the	the	DET
ap-6151	120	24	pressure	pressure	NOUN
ap-6151	120	25	and	and	CCONJ
ap-6151	120	26	basis	basis	NOUN
ap-6151	120	27	functions	function	NOUN
ap-6151	120	28	of	of	ADP
ap-6151	120	29	degree	degree	NOUN
ap-6151	120	30	k	k	PROPN
ap-6151	121	1	+	+	CCONJ
ap-6151	121	2	1	1	NUM
ap-6151	121	3	are	be	AUX
ap-6151	121	4	used	use	VERB
ap-6151	121	5	for	for	ADP
ap-6151	121	6	the	the	DET
ap-6151	121	7	velocities	velocity	NOUN
ap-6151	121	8	.	.	PUNCT
ap-6151	122	1	3	3	X
ap-6151	122	2	.	.	X
ap-6151	122	3	isogeometric	isogeometric	ADJ
ap-6151	122	4	analysis	analysis	NOUN
ap-6151	122	5	in	in	ADP
ap-6151	122	6	this	this	DET
ap-6151	122	7	section	section	NOUN
ap-6151	122	8	,	,	PUNCT
ap-6151	122	9	we	we	PRON
ap-6151	122	10	present	present	VERB
ap-6151	122	11	fundamentals	fundamental	NOUN
ap-6151	122	12	of	of	ADP
ap-6151	122	13	isogeometric	isogeometric	ADJ
ap-6151	122	14	analysis	analysis	NOUN
ap-6151	122	15	with	with	ADP
ap-6151	122	16	a	a	DET
ap-6151	122	17	special	special	ADJ
ap-6151	122	18	focus	focus	NOUN
ap-6151	122	19	on	on	ADP
ap-6151	122	20	the	the	DET
ap-6151	122	21	problem	problem	NOUN
ap-6151	122	22	solved	solve	VERB
ap-6151	122	23	in	in	ADP
ap-6151	122	24	this	this	DET
ap-6151	122	25	paper	paper	NOUN
ap-6151	122	26	–	–	PUNCT
ap-6151	122	27	fluid	fluid	ADJ
ap-6151	122	28	flow	flow	NOUN
ap-6151	122	29	simulation	simulation	NOUN
ap-6151	122	30	in	in	ADP
ap-6151	122	31	a	a	DET
ap-6151	122	32	lid	lid	NOUN
ap-6151	122	33	-	-	PUNCT
ap-6151	122	34	driven	drive	VERB
ap-6151	122	35	cavity	cavity	NOUN
ap-6151	122	36	.	.	PUNCT
ap-6151	123	1	35	35	NUM
ap-6151	123	2	b.	b.	PROPN
ap-6151	123	3	bastl	bastl	PROPN
ap-6151	123	4	,	,	PUNCT
ap-6151	123	5	m.	m.	NOUN
ap-6151	123	6	brandner	brandner	NOUN
ap-6151	123	7	,	,	PUNCT
ap-6151	123	8	j.	j.	PROPN
ap-6151	123	9	egermaier	egermaier	PROPN
ap-6151	123	10	et	et	PROPN
ap-6151	123	11	al	al	PROPN
ap-6151	123	12	.	.	PROPN
ap-6151	124	1	acta	acta	PROPN
ap-6151	124	2	polytechnica	polytechnica	PROPN
ap-6151	124	3	0.5	0.5	NUM
ap-6151	124	4	1.0	1.0	NUM
ap-6151	124	5	1.5	1.5	NUM
ap-6151	124	6	2.0	2.0	NUM
ap-6151	124	7	2.5	2.5	NUM
ap-6151	124	8	3.0	3.0	NUM
ap-6151	124	9	0.2	0.2	NUM
ap-6151	124	10	0.4	0.4	NUM
ap-6151	124	11	0.6	0.6	NUM
ap-6151	124	12	0.8	0.8	NUM
ap-6151	124	13	1.0	1.0	NUM
ap-6151	124	14	(	(	PUNCT
ap-6151	124	15	a	a	NOUN
ap-6151	124	16	)	)	PUNCT
ap-6151	124	17	.	.	PUNCT
ap-6151	125	1	0.5	0.5	NUM
ap-6151	125	2	1.0	1.0	NUM
ap-6151	125	3	1.5	1.5	NUM
ap-6151	125	4	2.0	2.0	NUM
ap-6151	125	5	2.5	2.5	NUM
ap-6151	125	6	3.0	3.0	NUM
ap-6151	125	7	0.2	0.2	NUM
ap-6151	125	8	0.4	0.4	NUM
ap-6151	125	9	0.6	0.6	NUM
ap-6151	125	10	0.8	0.8	NUM
ap-6151	125	11	1.0	1.0	NUM
ap-6151	125	12	(	(	PUNCT
ap-6151	125	13	b	b	NOUN
ap-6151	125	14	)	)	PUNCT
ap-6151	125	15	.	.	PUNCT
ap-6151	126	1	0.5	0.5	NUM
ap-6151	126	2	1.0	1.0	NUM
ap-6151	126	3	1.5	1.5	NUM
ap-6151	126	4	2.0	2.0	NUM
ap-6151	126	5	2.5	2.5	NUM
ap-6151	126	6	3.0	3.0	NUM
ap-6151	126	7	0.2	0.2	NUM
ap-6151	126	8	0.4	0.4	NUM
ap-6151	126	9	0.6	0.6	NUM
ap-6151	126	10	0.8	0.8	NUM
ap-6151	126	11	1.0	1.0	NUM
ap-6151	126	12	(	(	PUNCT
ap-6151	126	13	c	c	NOUN
ap-6151	126	14	)	)	PUNCT
ap-6151	126	15	.	.	PUNCT
ap-6151	127	1	figure	figure	NOUN
ap-6151	127	2	1	1	NUM
ap-6151	127	3	.	.	PUNCT
ap-6151	127	4	comparison	comparison	NOUN
ap-6151	127	5	of	of	ADP
ap-6151	127	6	1d	1d	NUM
ap-6151	127	7	quadratic	quadratic	ADJ
ap-6151	127	8	discretization	discretization	NOUN
ap-6151	127	9	bases	basis	NOUN
ap-6151	127	10	on	on	ADP
ap-6151	127	11	a	a	DET
ap-6151	127	12	“	"	PUNCT
ap-6151	127	13	mesh	mesh	NOUN
ap-6151	127	14	”	"	PUNCT
ap-6151	127	15	with	with	ADP
ap-6151	127	16	three	three	NUM
ap-6151	127	17	elements	element	NOUN
ap-6151	127	18	:	:	PUNCT
ap-6151	127	19	(	(	PUNCT
ap-6151	127	20	a	a	X
ap-6151	127	21	)	)	PUNCT
ap-6151	127	22	finite	finite	PROPN
ap-6151	127	23	element	element	NOUN
ap-6151	127	24	basis	basis	NOUN
ap-6151	127	25	,	,	PUNCT
ap-6151	127	26	(	(	PUNCT
ap-6151	127	27	b	b	X
ap-6151	127	28	)	)	PUNCT
ap-6151	127	29	isogeometric	isogeometric	ADJ
ap-6151	127	30	basis	basis	NOUN
ap-6151	127	31	with	with	ADP
ap-6151	127	32	c1	c1	PROPN
ap-6151	127	33	interelement	interelement	NOUN
ap-6151	127	34	continuity	continuity	NOUN
ap-6151	127	35	,	,	PUNCT
ap-6151	127	36	(	(	PUNCT
ap-6151	127	37	c	c	X
ap-6151	127	38	)	)	PUNCT
ap-6151	127	39	isogeometric	isogeometric	ADJ
ap-6151	127	40	basis	basis	NOUN
ap-6151	127	41	with	with	ADP
ap-6151	127	42	c0	c0	PROPN
ap-6151	127	43	interelement	interelement	NOUN
ap-6151	127	44	continuity	continuity	NOUN
ap-6151	127	45	.	.	PUNCT
ap-6151	128	1	b	b	X
ap-6151	128	2	-	-	PUNCT
ap-6151	128	3	spline	spline	NOUN
ap-6151	128	4	and	and	CCONJ
ap-6151	128	5	nurbs	nurb	NOUN
ap-6151	128	6	objects	object	NOUN
ap-6151	128	7	are	be	AUX
ap-6151	128	8	described	describe	VERB
ap-6151	128	9	using	use	VERB
ap-6151	128	10	a	a	DET
ap-6151	128	11	b	b	NOUN
ap-6151	128	12	-	-	PUNCT
ap-6151	128	13	spline	spline	NOUN
ap-6151	128	14	basis	basis	NOUN
ap-6151	128	15	.	.	PUNCT
ap-6151	129	1	its	its	PRON
ap-6151	129	2	construction	construction	NOUN
ap-6151	129	3	is	be	AUX
ap-6151	129	4	based	base	VERB
ap-6151	129	5	on	on	ADP
ap-6151	129	6	a	a	DET
ap-6151	129	7	socalled	socalled	ADJ
ap-6151	129	8	knot	knot	NOUN
ap-6151	129	9	vector	vector	NOUN
ap-6151	129	10	ξ	ξ	NOUN
ap-6151	129	11	=	=	SYM
ap-6151	129	12	(	(	PUNCT
ap-6151	129	13	ξ1	ξ1	PROPN
ap-6151	129	14	,	,	PUNCT
ap-6151	129	15	ξ2	ξ2	NOUN
ap-6151	129	16	,	,	PUNCT
ap-6151	129	17	.	.	PUNCT
ap-6151	129	18	.	.	PUNCT
ap-6151	130	1	.	.	PUNCT
ap-6151	131	1	,	,	PUNCT
ap-6151	131	2	ξn+k+1	ξn+k+1	NUM
ap-6151	131	3	)	)	PUNCT
ap-6151	131	4	,	,	PUNCT
ap-6151	131	5	where	where	SCONJ
ap-6151	131	6	ξi	ξi	NOUN
ap-6151	131	7	≤	≤	NUM
ap-6151	131	8	ξi+1	ξi+1	NUM
ap-6151	131	9	are	be	AUX
ap-6151	131	10	the	the	DET
ap-6151	131	11	knots	knot	NOUN
ap-6151	131	12	,	,	PUNCT
ap-6151	131	13	k	k	X
ap-6151	131	14	is	be	AUX
ap-6151	131	15	the	the	DET
ap-6151	131	16	basis	basis	NOUN
ap-6151	131	17	degree	degree	NOUN
ap-6151	131	18	and	and	CCONJ
ap-6151	131	19	n	n	NOUN
ap-6151	131	20	is	be	AUX
ap-6151	131	21	the	the	DET
ap-6151	131	22	number	number	NOUN
ap-6151	131	23	of	of	ADP
ap-6151	131	24	basis	basis	NOUN
ap-6151	131	25	functions	function	NOUN
ap-6151	131	26	.	.	PUNCT
ap-6151	132	1	note	note	VERB
ap-6151	132	2	that	that	SCONJ
ap-6151	132	3	the	the	DET
ap-6151	132	4	knots	knot	NOUN
ap-6151	132	5	can	can	AUX
ap-6151	132	6	be	be	AUX
ap-6151	132	7	multiple	multiple	ADJ
ap-6151	132	8	.	.	PUNCT
ap-6151	133	1	the	the	DET
ap-6151	133	2	i	i	PROPN
ap-6151	133	3	-	-	PUNCT
ap-6151	133	4	th	th	X
ap-6151	133	5	b	b	NOUN
ap-6151	133	6	-	-	PUNCT
ap-6151	133	7	spline	spline	NOUN
ap-6151	133	8	basis	basis	NOUN
ap-6151	133	9	function	function	NOUN
ap-6151	133	10	of	of	ADP
ap-6151	133	11	degree	degree	NOUN
ap-6151	133	12	k	k	PROPN
ap-6151	133	13	,	,	PUNCT
ap-6151	133	14	ni	ni	PROPN
ap-6151	133	15	,	,	PUNCT
ap-6151	133	16	k(ξ	k(ξ	ADJ
ap-6151	133	17	)	)	PUNCT
ap-6151	133	18	,	,	PUNCT
ap-6151	133	19	is	be	AUX
ap-6151	133	20	defined	define	VERB
ap-6151	133	21	recursively	recursively	ADV
ap-6151	133	22	by	by	ADP
ap-6151	133	23	cox	cox	PROPN
ap-6151	133	24	-	-	PUNCT
ap-6151	133	25	de	de	X
ap-6151	133	26	boor	boor	NOUN
ap-6151	133	27	formula	formula	NOUN
ap-6151	133	28	as	as	SCONJ
ap-6151	133	29	follows	follow	VERB
ap-6151	133	30	:	:	PUNCT
ap-6151	134	1	for	for	ADP
ap-6151	134	2	k	k	PROPN
ap-6151	134	3	=	=	SYM
ap-6151	134	4	0	0	NUM
ap-6151	134	5	:	:	PUNCT
ap-6151	134	6	ni,0(ξ	ni,0(ξ	ADJ
ap-6151	134	7	)	)	PUNCT
ap-6151	134	8	=	=	NOUN
ap-6151	134	9	{	{	PUNCT
ap-6151	134	10	1	1	NUM
ap-6151	134	11	,	,	PUNCT
ap-6151	134	12	ξi	ξi	NOUN
ap-6151	134	13	≤	≤	NUM
ap-6151	135	1	ξ	ξ	PUNCT
ap-6151	135	2	<	<	X
ap-6151	135	3	ξi+1	ξi+1	NUM
ap-6151	135	4	,	,	PUNCT
ap-6151	135	5	0	0	NUM
ap-6151	135	6	,	,	PUNCT
ap-6151	135	7	otherwise	otherwise	ADV
ap-6151	135	8	,	,	PUNCT
ap-6151	135	9	for	for	ADP
ap-6151	135	10	k	k	PROPN
ap-6151	135	11	>	>	X
ap-6151	135	12	0	0	NUM
ap-6151	136	1	:	:	PUNCT
ap-6151	136	2	ni	ni	PROPN
ap-6151	136	3	,	,	PUNCT
ap-6151	136	4	k(ξ	k(ξ	ADJ
ap-6151	136	5	)	)	PUNCT
ap-6151	136	6	=	=	SYM
ap-6151	137	1	si	si	X
ap-6151	137	2	,	,	PUNCT
ap-6151	137	3	k(ξ)ni	k(ξ)ni	NOUN
ap-6151	137	4	,	,	PUNCT
ap-6151	137	5	k−1(ξ)+	k−1(ξ)+	NUM
ap-6151	137	6	+	+	CCONJ
ap-6151	137	7	(	(	PUNCT
ap-6151	137	8	1−	1−	NUM
ap-6151	137	9	si+1,k(ξ	si+1,k(ξ	NOUN
ap-6151	137	10	)	)	PUNCT
ap-6151	137	11	)	)	PUNCT
ap-6151	137	12	ni+1,k−1(ξ	ni+1,k−1(ξ	NOUN
ap-6151	137	13	)	)	PUNCT
ap-6151	137	14	,	,	PUNCT
ap-6151	137	15	where	where	SCONJ
ap-6151	137	16	si	si	X
ap-6151	137	17	,	,	PUNCT
ap-6151	137	18	k(ξ	k(ξ	X
ap-6151	137	19	)	)	PUNCT
ap-6151	137	20	:	:	PUNCT
ap-6151	138	1	=	=	PUNCT
ap-6151	138	2			PUNCT
ap-6151	138	3	ξ	ξ	X
ap-6151	138	4	−	−	NOUN
ap-6151	138	5	ξi	ξi	NOUN
ap-6151	138	6	ξi+k	ξi+k	NUM
ap-6151	138	7	−	−	ADP
ap-6151	138	8	ξi	ξi	NOUN
ap-6151	138	9	,	,	PUNCT
ap-6151	138	10	ξi	ξi	NOUN
ap-6151	138	11	<	<	X
ap-6151	138	12	ξi+k	ξi+k	PROPN
ap-6151	138	13	,	,	PUNCT
ap-6151	138	14	arbitrary	arbitrary	ADJ
ap-6151	138	15	,	,	PUNCT
ap-6151	138	16	otherwise	otherwise	ADV
ap-6151	138	17	.	.	PUNCT
ap-6151	139	1	(	(	PUNCT
ap-6151	139	2	9	9	X
ap-6151	139	3	)	)	PUNCT
ap-6151	139	4	note	note	NOUN
ap-6151	140	1	that	that	SCONJ
ap-6151	140	2	ni	ni	PROPN
ap-6151	140	3	,	,	PUNCT
ap-6151	140	4	k−1(ξ	k−1(ξ	PROPN
ap-6151	140	5	)	)	PUNCT
ap-6151	140	6	=	=	SYM
ap-6151	140	7	0	0	PUNCT
ap-6151	141	1	if	if	SCONJ
ap-6151	141	2	ξi	ξi	NUM
ap-6151	141	3	=	=	SYM
ap-6151	141	4	ξi+k	ξi+k	PROPN
ap-6151	141	5	.	.	PUNCT
ap-6151	142	1	one	one	NUM
ap-6151	142	2	of	of	ADP
ap-6151	142	3	the	the	DET
ap-6151	142	4	fundamental	fundamental	ADJ
ap-6151	142	5	properties	property	NOUN
ap-6151	142	6	of	of	ADP
ap-6151	142	7	b	b	NOUN
ap-6151	142	8	-	-	PUNCT
ap-6151	142	9	spline	spline	NOUN
ap-6151	142	10	basis	basis	NOUN
ap-6151	142	11	functions	function	NOUN
ap-6151	142	12	is	be	AUX
ap-6151	142	13	that	that	SCONJ
ap-6151	142	14	they	they	PRON
ap-6151	142	15	are	be	AUX
ap-6151	142	16	ck−mi	ck−mi	ADV
ap-6151	142	17	continuous	continuous	ADJ
ap-6151	142	18	at	at	ADP
ap-6151	142	19	the	the	DET
ap-6151	142	20	knot	knot	NOUN
ap-6151	142	21	ξi	ξi	NOUN
ap-6151	142	22	,	,	PUNCT
ap-6151	142	23	where	where	SCONJ
ap-6151	142	24	mi	mi	PROPN
ap-6151	142	25	is	be	AUX
ap-6151	142	26	the	the	DET
ap-6151	142	27	multiplicity	multiplicity	NOUN
ap-6151	142	28	of	of	ADP
ap-6151	142	29	the	the	DET
ap-6151	142	30	knot	knot	NOUN
ap-6151	142	31	ξi	ξi	NOUN
ap-6151	142	32	.	.	PUNCT
ap-6151	143	1	other	other	ADJ
ap-6151	143	2	properties	property	NOUN
ap-6151	143	3	include	include	VERB
ap-6151	143	4	non	non	ADJ
ap-6151	143	5	-	-	ADJ
ap-6151	143	6	negativity	negativity	ADJ
ap-6151	143	7	,	,	PUNCT
ap-6151	143	8	partition	partition	NOUN
ap-6151	143	9	of	of	ADP
ap-6151	143	10	unity	unity	NOUN
ap-6151	143	11	and	and	CCONJ
ap-6151	143	12	local	local	ADJ
ap-6151	143	13	support	support	NOUN
ap-6151	143	14	.	.	PUNCT
ap-6151	144	1	generally	generally	ADV
ap-6151	144	2	,	,	PUNCT
ap-6151	144	3	iga	iga	PROPN
ap-6151	144	4	-	-	PUNCT
ap-6151	144	5	based	base	VERB
ap-6151	144	6	computations	computation	NOUN
ap-6151	144	7	are	be	AUX
ap-6151	144	8	based	base	VERB
ap-6151	144	9	on	on	ADP
ap-6151	144	10	bspline	bspline	ADJ
ap-6151	144	11	/	/	SYM
ap-6151	144	12	nurbs	nurbs	NOUN
ap-6151	144	13	surfaces	surface	NOUN
ap-6151	144	14	(	(	PUNCT
ap-6151	144	15	in	in	ADP
ap-6151	144	16	2d	2d	NUM
ap-6151	144	17	)	)	PUNCT
ap-6151	144	18	or	or	CCONJ
ap-6151	144	19	b	b	X
ap-6151	144	20	-	-	PUNCT
ap-6151	144	21	spline	spline	NOUN
ap-6151	144	22	/	/	SYM
ap-6151	144	23	nurbs	nurbs	NOUN
ap-6151	144	24	volumes	volume	NOUN
ap-6151	144	25	(	(	PUNCT
ap-6151	144	26	in	in	ADP
ap-6151	144	27	3d	3d	NUM
ap-6151	144	28	)	)	PUNCT
ap-6151	144	29	.	.	PUNCT
ap-6151	145	1	moreover	moreover	ADV
ap-6151	145	2	,	,	PUNCT
ap-6151	145	3	as	as	SCONJ
ap-6151	145	4	it	it	PRON
ap-6151	145	5	is	be	AUX
ap-6151	145	6	well	well	ADV
ap-6151	145	7	-	-	PUNCT
ap-6151	145	8	known	know	VERB
ap-6151	145	9	that	that	SCONJ
ap-6151	145	10	the	the	DET
ap-6151	145	11	tensor	tensor	NOUN
ap-6151	145	12	-	-	PUNCT
ap-6151	145	13	product	product	NOUN
ap-6151	145	14	structure	structure	NOUN
ap-6151	145	15	of	of	ADP
ap-6151	145	16	b	b	NOUN
ap-6151	145	17	-	-	PUNCT
ap-6151	145	18	spline	spline	NOUN
ap-6151	145	19	/	/	SYM
ap-6151	145	20	nurbs	nurb	NOUN
ap-6151	145	21	objects	object	NOUN
ap-6151	145	22	prevents	prevent	VERB
ap-6151	145	23	the	the	DET
ap-6151	145	24	possibility	possibility	NOUN
ap-6151	145	25	to	to	PART
ap-6151	145	26	describe	describe	VERB
ap-6151	145	27	an	an	DET
ap-6151	145	28	arbitrary	arbitrary	ADJ
ap-6151	145	29	computational	computational	ADJ
ap-6151	145	30	domain	domain	NOUN
ap-6151	145	31	by	by	ADP
ap-6151	145	32	one	one	NUM
ap-6151	145	33	b	b	NOUN
ap-6151	145	34	-	-	PUNCT
ap-6151	145	35	spline	spline	NOUN
ap-6151	145	36	/	/	SYM
ap-6151	145	37	nurbs	nurb	NOUN
ap-6151	145	38	object	object	VERB
ap-6151	145	39	.	.	PUNCT
ap-6151	146	1	this	this	PRON
ap-6151	146	2	is	be	AUX
ap-6151	146	3	the	the	DET
ap-6151	146	4	reason	reason	NOUN
ap-6151	146	5	why	why	SCONJ
ap-6151	146	6	so	so	ADV
ap-6151	146	7	-	-	PUNCT
ap-6151	146	8	called	call	VERB
ap-6151	146	9	multi	multi	ADJ
ap-6151	146	10	-	-	ADJ
ap-6151	146	11	patch	patch	ADJ
ap-6151	146	12	b	b	NOUN
ap-6151	146	13	-	-	PUNCT
ap-6151	146	14	spline	spline	NOUN
ap-6151	146	15	/	/	SYM
ap-6151	146	16	nurbs	nurb	NOUN
ap-6151	146	17	meshes	mesh	NOUN
ap-6151	146	18	are	be	AUX
ap-6151	146	19	typically	typically	ADV
ap-6151	146	20	used	use	VERB
ap-6151	146	21	for	for	ADP
ap-6151	146	22	the	the	DET
ap-6151	146	23	description	description	NOUN
ap-6151	146	24	of	of	ADP
ap-6151	146	25	computational	computational	ADJ
ap-6151	146	26	domains	domain	NOUN
ap-6151	146	27	in	in	ADP
ap-6151	146	28	isogeometric	isogeometric	ADJ
ap-6151	146	29	analysis	analysis	NOUN
ap-6151	146	30	.	.	PUNCT
ap-6151	147	1	our	our	PRON
ap-6151	147	2	in	in	ADP
ap-6151	147	3	-	-	PUNCT
ap-6151	147	4	house	house	NOUN
ap-6151	147	5	solver	solver	NOUN
ap-6151	147	6	used	use	VERB
ap-6151	147	7	for	for	ADP
ap-6151	147	8	obtaining	obtain	VERB
ap-6151	147	9	results	result	NOUN
ap-6151	147	10	in	in	ADP
ap-6151	147	11	section	section	NOUN
ap-6151	147	12	6	6	NUM
ap-6151	147	13	works	work	NOUN
ap-6151	147	14	with	with	ADP
ap-6151	147	15	general	general	ADJ
ap-6151	147	16	,	,	PUNCT
ap-6151	147	17	free	free	ADJ
ap-6151	147	18	-	-	PUNCT
ap-6151	147	19	form	form	NOUN
ap-6151	147	20	multi	multi	ADJ
ap-6151	147	21	-	-	ADJ
ap-6151	147	22	patch	patch	ADJ
ap-6151	147	23	2d	2d	NOUN
ap-6151	147	24	and	and	CCONJ
ap-6151	147	25	3d	3d	NUM
ap-6151	147	26	b	b	X
ap-6151	147	27	-	-	PUNCT
ap-6151	147	28	spline	spline	NOUN
ap-6151	147	29	domains	domain	NOUN
ap-6151	147	30	.	.	PUNCT
ap-6151	148	1	however	however	ADV
ap-6151	148	2	,	,	PUNCT
ap-6151	148	3	in	in	ADP
ap-6151	148	4	this	this	DET
ap-6151	148	5	paper	paper	NOUN
ap-6151	148	6	we	we	PRON
ap-6151	148	7	focus	focus	VERB
ap-6151	148	8	on	on	ADP
ap-6151	148	9	a	a	DET
ap-6151	148	10	geometrically	geometrically	ADV
ap-6151	148	11	very	very	ADV
ap-6151	148	12	simple	simple	ADJ
ap-6151	148	13	domain	domain	NOUN
ap-6151	148	14	–	–	PUNCT
ap-6151	148	15	cavity	cavity	NOUN
ap-6151	148	16	–	–	PUNCT
ap-6151	148	17	which	which	PRON
ap-6151	148	18	allows	allow	VERB
ap-6151	148	19	(	(	PUNCT
ap-6151	148	20	under	under	ADP
ap-6151	148	21	some	some	DET
ap-6151	148	22	other	other	ADJ
ap-6151	148	23	conditions	condition	NOUN
ap-6151	148	24	mentioned	mention	VERB
ap-6151	148	25	bellow	bellow	ADJ
ap-6151	148	26	)	)	PUNCT
ap-6151	148	27	to	to	PART
ap-6151	148	28	use	use	VERB
ap-6151	148	29	only	only	ADV
ap-6151	148	30	a	a	DET
ap-6151	148	31	so	so	ADV
ap-6151	148	32	-	-	PUNCT
ap-6151	148	33	called	call	VERB
ap-6151	148	34	b	b	NOUN
ap-6151	148	35	-	-	PUNCT
ap-6151	148	36	spline	spline	NOUN
ap-6151	148	37	function	function	NOUN
ap-6151	148	38	.	.	PUNCT
ap-6151	149	1	let	let	VERB
ap-6151	149	2	us	we	PRON
ap-6151	149	3	consider	consider	VERB
ap-6151	149	4	a	a	DET
ap-6151	149	5	two	two	NUM
ap-6151	149	6	-	-	PUNCT
ap-6151	149	7	dimensional	dimensional	ADJ
ap-6151	149	8	domain	domain	NOUN
ap-6151	149	9	ω	ω	NOUN
ap-6151	149	10	=	=	SYM
ap-6151	149	11	〈	〈	PROPN
ap-6151	149	12	0	0	NUM
ap-6151	149	13	,	,	PUNCT
ap-6151	149	14	1	1	NUM
ap-6151	149	15	〉	〉	NUM
ap-6151	149	16	×	×	NOUN
ap-6151	149	17	〈	〈	PROPN
ap-6151	149	18	0	0	NUM
ap-6151	149	19	,	,	PUNCT
ap-6151	149	20	1	1	NUM
ap-6151	149	21	〉	〉	NOUN
ap-6151	149	22	⊂	⊂	NOUN
ap-6151	149	23	r2	r2	PROPN
ap-6151	149	24	representing	represent	VERB
ap-6151	149	25	the	the	DET
ap-6151	149	26	cavity	cavity	NOUN
ap-6151	149	27	(	(	PUNCT
ap-6151	149	28	see	see	VERB
ap-6151	149	29	sections	section	NOUN
ap-6151	149	30	5	5	NUM
ap-6151	149	31	and	and	CCONJ
ap-6151	149	32	6	6	NUM
ap-6151	149	33	)	)	PUNCT
ap-6151	149	34	and	and	CCONJ
ap-6151	149	35	let	let	VERB
ap-6151	149	36	us	we	PRON
ap-6151	149	37	consider	consider	VERB
ap-6151	149	38	a	a	DET
ap-6151	149	39	b	b	NOUN
ap-6151	149	40	-	-	PUNCT
ap-6151	149	41	spline	spline	NOUN
ap-6151	149	42	function	function	NOUN
ap-6151	149	43	f(ξ	f(ξ	PROPN
ap-6151	149	44	,	,	PUNCT
ap-6151	149	45	ψ	ψ	NOUN
ap-6151	149	46	)	)	PUNCT
ap-6151	149	47	of	of	ADP
ap-6151	149	48	degree	degree	NOUN
ap-6151	149	49	k	k	NOUN
ap-6151	149	50	and	and	CCONJ
ap-6151	149	51	order	order	NOUN
ap-6151	149	52	of	of	ADP
ap-6151	149	53	continuity	continuity	NOUN
ap-6151	149	54	r	r	NOUN
ap-6151	149	55	in	in	ADP
ap-6151	149	56	both	both	DET
ap-6151	149	57	parameters	parameter	NOUN
ap-6151	149	58	ξ	ξ	PROPN
ap-6151	149	59	and	and	CCONJ
ap-6151	149	60	ψ	ψ	X
ap-6151	149	61	in	in	ADP
ap-6151	149	62	the	the	DET
ap-6151	149	63	form	form	NOUN
ap-6151	149	64	f(ξ	f(ξ	NOUN
ap-6151	149	65	,	,	PUNCT
ap-6151	149	66	ψ	ψ	NOUN
ap-6151	149	67	)	)	PUNCT
ap-6151	150	1	=	=	SYM
ap-6151	150	2	n∑	n∑	NOUN
ap-6151	150	3	i=1	i=1	PROPN
ap-6151	151	1	m∑	m∑	ADV
ap-6151	151	2	j=1	j=1	PROPN
ap-6151	151	3	ci	ci	PROPN
ap-6151	151	4	,	,	PUNCT
ap-6151	151	5	jni	jni	PROPN
ap-6151	151	6	,	,	PUNCT
ap-6151	151	7	k(ξ)nj	k(ξ)nj	PROPN
ap-6151	151	8	,	,	PUNCT
ap-6151	151	9	k(ψ	k(ψ	PROPN
ap-6151	151	10	)	)	PUNCT
ap-6151	152	1	=	=	SYM
ap-6151	152	2	n∑	n∑	NOUN
ap-6151	152	3	i=1	i=1	PROPN
ap-6151	153	1	m∑	m∑	ADV
ap-6151	153	2	j=1	j=1	PROPN
ap-6151	153	3	ci	ci	PROPN
ap-6151	153	4	,	,	PUNCT
ap-6151	153	5	jqi	jqi	PROPN
ap-6151	153	6	,	,	PUNCT
ap-6151	153	7	j(ξ	j(ξ	PROPN
ap-6151	153	8	,	,	PUNCT
ap-6151	153	9	ψ	ψ	NOUN
ap-6151	153	10	)	)	PUNCT
ap-6151	153	11	,	,	PUNCT
ap-6151	153	12	(	(	PUNCT
ap-6151	153	13	10	10	NUM
ap-6151	153	14	)	)	PUNCT
ap-6151	153	15	where	where	SCONJ
ap-6151	153	16	ci	ci	PROPN
ap-6151	153	17	,	,	PUNCT
ap-6151	153	18	j	j	PROPN
ap-6151	153	19	are	be	AUX
ap-6151	153	20	coefficients	coefficient	NOUN
ap-6151	153	21	of	of	ADP
ap-6151	153	22	the	the	DET
ap-6151	153	23	b	b	PROPN
ap-6151	153	24	-	-	PUNCT
ap-6151	153	25	spline	spline	NOUN
ap-6151	153	26	function	function	NOUN
ap-6151	153	27	,	,	PUNCT
ap-6151	153	28	ni	ni	PROPN
ap-6151	153	29	,	,	PUNCT
ap-6151	153	30	k(ξ	k(ξ	ADJ
ap-6151	153	31	)	)	PUNCT
ap-6151	153	32	and	and	CCONJ
ap-6151	153	33	nj	nj	PROPN
ap-6151	153	34	,	,	PUNCT
ap-6151	153	35	k(ψ	k(ψ	PROPN
ap-6151	153	36	)	)	PUNCT
ap-6151	153	37	are	be	AUX
ap-6151	153	38	b	b	NUM
ap-6151	153	39	-	-	PUNCT
ap-6151	153	40	spline	spline	NOUN
ap-6151	153	41	basis	basis	NOUN
ap-6151	153	42	functions	function	NOUN
ap-6151	153	43	corresponding	correspond	VERB
ap-6151	153	44	to	to	PART
ap-6151	153	45	knot	knot	VERB
ap-6151	153	46	vectors	vector	NOUN
ap-6151	153	47	ξ	ξ	X
ap-6151	153	48	=	=	SYM
ap-6151	153	49	(	(	PUNCT
ap-6151	153	50	ξ1	ξ1	PROPN
ap-6151	153	51	,	,	PUNCT
ap-6151	153	52	ξ2	ξ2	NOUN
ap-6151	153	53	,	,	PUNCT
ap-6151	153	54	.	.	PUNCT
ap-6151	153	55	.	.	PUNCT
ap-6151	154	1	.	.	PUNCT
ap-6151	155	1	,	,	PUNCT
ap-6151	155	2	ξn+k+1),ψ	ξn+k+1),ψ	ADJ
ap-6151	155	3	=	=	SYM
ap-6151	155	4	(	(	PUNCT
ap-6151	155	5	ψ1	ψ1	NOUN
ap-6151	155	6	,	,	PUNCT
ap-6151	155	7	ψ2	ψ2	NOUN
ap-6151	155	8	,	,	PUNCT
ap-6151	155	9	.	.	PUNCT
ap-6151	155	10	.	.	PUNCT
ap-6151	156	1	.	.	PUNCT
ap-6151	157	1	,	,	PUNCT
ap-6151	157	2	ψm+k+1	ψm+k+1	NOUN
ap-6151	157	3	)	)	PUNCT
ap-6151	157	4	,	,	PUNCT
ap-6151	157	5	respectively	respectively	ADV
ap-6151	157	6	,	,	PUNCT
ap-6151	157	7	and	and	CCONJ
ap-6151	157	8	the	the	DET
ap-6151	157	9	product	product	NOUN
ap-6151	157	10	of	of	ADP
ap-6151	157	11	two	two	NUM
ap-6151	157	12	univariate	univariate	ADJ
ap-6151	157	13	b	b	NUM
ap-6151	157	14	-	-	PUNCT
ap-6151	157	15	spline	spline	NOUN
ap-6151	157	16	basis	basis	NOUN
ap-6151	157	17	functions	function	NOUN
ap-6151	157	18	ni	ni	PROPN
ap-6151	157	19	,	,	PUNCT
ap-6151	157	20	k(ξ)nj	k(ξ)nj	PROPN
ap-6151	157	21	,	,	PUNCT
ap-6151	157	22	k(ψ	k(ψ	PROPN
ap-6151	157	23	)	)	PUNCT
ap-6151	157	24	is	be	AUX
ap-6151	157	25	denoted	denote	VERB
ap-6151	157	26	as	as	ADP
ap-6151	157	27	one	one	NUM
ap-6151	157	28	bivariate	bivariate	ADJ
ap-6151	157	29	function	function	NOUN
ap-6151	157	30	qi	qi	PROPN
ap-6151	157	31	,	,	PUNCT
ap-6151	157	32	j(ξ	j(ξ	PROPN
ap-6151	157	33	,	,	PUNCT
ap-6151	157	34	ψ	ψ	NOUN
ap-6151	157	35	)	)	PUNCT
ap-6151	157	36	.	.	PUNCT
ap-6151	158	1	as	as	ADP
ap-6151	158	2	in	in	ADP
ap-6151	158	3	our	our	PRON
ap-6151	158	4	experiments	experiment	NOUN
ap-6151	158	5	we	we	PRON
ap-6151	158	6	use	use	VERB
ap-6151	158	7	open	open	ADJ
ap-6151	158	8	knot	knot	NOUN
ap-6151	158	9	vectors	vector	NOUN
ap-6151	158	10	in	in	ADP
ap-6151	158	11	the	the	DET
ap-6151	158	12	form	form	NOUN
ap-6151	158	13	(	(	PUNCT
ap-6151	158	14	0	0	NUM
ap-6151	158	15	,	,	PUNCT
ap-6151	158	16	.	.	PUNCT
ap-6151	158	17	.	.	PUNCT
ap-6151	159	1	.	.	PUNCT
ap-6151	160	1	,	,	PUNCT
ap-6151	160	2	0︸	0︸	X
ap-6151	161	1	︷︷	︷︷	VERB
ap-6151	161	2	︸	︸	PRON
ap-6151	161	3	k+1	k+1	X
ap-6151	161	4	,	,	PUNCT
ap-6151	161	5	tk+2	tk+2	NOUN
ap-6151	161	6	,	,	PUNCT
ap-6151	161	7	.	.	PUNCT
ap-6151	161	8	.	.	PUNCT
ap-6151	162	1	.	.	PUNCT
ap-6151	163	1	,	,	PUNCT
ap-6151	163	2	tn	tn	PROPN
ap-6151	163	3	,	,	PUNCT
ap-6151	163	4	1	1	NUM
ap-6151	163	5	,	,	PUNCT
ap-6151	163	6	.	.	PUNCT
ap-6151	163	7	.	.	PUNCT
ap-6151	164	1	.	.	PUNCT
ap-6151	165	1	,	,	PUNCT
ap-6151	165	2	1︸	1︸	NUM
ap-6151	165	3	︷︷	︷︷	NOUN
ap-6151	165	4	︸	︸	X
ap-6151	165	5	k+1	k+1	NOUN
ap-6151	165	6	)	)	PUNCT
ap-6151	165	7	,	,	PUNCT
ap-6151	165	8	where	where	SCONJ
ap-6151	165	9	k	k	PROPN
ap-6151	165	10	is	be	AUX
ap-6151	165	11	the	the	DET
ap-6151	165	12	degree	degree	NOUN
ap-6151	165	13	of	of	ADP
ap-6151	165	14	basis	basis	NOUN
ap-6151	165	15	functions	function	NOUN
ap-6151	165	16	,	,	PUNCT
ap-6151	165	17	the	the	DET
ap-6151	165	18	parametric	parametric	ADJ
ap-6151	165	19	domain	domain	NOUN
ap-6151	165	20	of	of	ADP
ap-6151	165	21	the	the	DET
ap-6151	165	22	b	b	PROPN
ap-6151	165	23	-	-	PUNCT
ap-6151	165	24	spline	spline	NOUN
ap-6151	165	25	function	function	NOUN
ap-6151	165	26	f	f	PROPN
ap-6151	165	27	and	and	CCONJ
ap-6151	165	28	the	the	DET
ap-6151	165	29	computational	computational	ADJ
ap-6151	165	30	domain	domain	NOUN
ap-6151	165	31	ω	ω	NUM
ap-6151	165	32	coincide	coincide	NOUN
ap-6151	165	33	(	(	PUNCT
ap-6151	165	34	both	both	PRON
ap-6151	165	35	are	be	AUX
ap-6151	165	36	represented	represent	VERB
ap-6151	165	37	by	by	ADP
ap-6151	165	38	the	the	DET
ap-6151	165	39	unit	unit	NOUN
ap-6151	165	40	square	square	PROPN
ap-6151	165	41	)	)	PUNCT
ap-6151	165	42	.	.	PUNCT
ap-6151	166	1	moreover	moreover	ADV
ap-6151	166	2	,	,	PUNCT
ap-6151	166	3	various	various	ADJ
ap-6151	166	4	degrees	degree	NOUN
ap-6151	166	5	and	and	CCONJ
ap-6151	166	6	continuities	continuity	NOUN
ap-6151	166	7	of	of	ADP
ap-6151	166	8	the	the	DET
ap-6151	166	9	b	b	PROPN
ap-6151	166	10	-	-	PUNCT
ap-6151	166	11	spline	spline	ADJ
ap-6151	166	12	computational	computational	ADJ
ap-6151	166	13	meshes	mesh	NOUN
ap-6151	166	14	used	use	VERB
ap-6151	166	15	in	in	ADP
ap-6151	166	16	experiments	experiment	NOUN
ap-6151	166	17	in	in	ADP
ap-6151	166	18	section	section	NOUN
ap-6151	166	19	6	6	NUM
ap-6151	166	20	are	be	AUX
ap-6151	166	21	obtained	obtain	VERB
ap-6151	166	22	by	by	ADP
ap-6151	166	23	degree	degree	NOUN
ap-6151	166	24	elevation	elevation	NOUN
ap-6151	166	25	and	and	CCONJ
ap-6151	166	26	knot	knot	NOUN
ap-6151	166	27	insertion	insertion	NOUN
ap-6151	166	28	(	(	PUNCT
ap-6151	166	29	see	see	VERB
ap-6151	166	30	[	[	X
ap-6151	166	31	6	6	NUM
ap-6151	166	32	]	]	PUNCT
ap-6151	166	33	)	)	PUNCT
ap-6151	166	34	starting	start	VERB
ap-6151	166	35	from	from	ADP
ap-6151	166	36	bilinear	bilinear	PROPN
ap-6151	166	37	b	b	PROPN
ap-6151	166	38	-	-	PUNCT
ap-6151	166	39	spline	spline	NOUN
ap-6151	166	40	description	description	NOUN
ap-6151	166	41	of	of	ADP
ap-6151	166	42	ω	ω	PROPN
ap-6151	166	43	.	.	PUNCT
ap-6151	167	1	this	this	PRON
ap-6151	167	2	means	mean	VERB
ap-6151	167	3	that	that	SCONJ
ap-6151	167	4	for	for	ADP
ap-6151	167	5	all	all	DET
ap-6151	167	6	used	use	VERB
ap-6151	167	7	b	b	NUM
ap-6151	167	8	-	-	PUNCT
ap-6151	167	9	spline	spline	NOUN
ap-6151	167	10	computational	computational	ADJ
ap-6151	167	11	meshes	mesh	NOUN
ap-6151	167	12	a	a	DET
ap-6151	167	13	point	point	NOUN
ap-6151	167	14	(	(	PUNCT
ap-6151	167	15	ξ	ξ	X
ap-6151	167	16	,	,	PUNCT
ap-6151	167	17	ψ	ψ	NOUN
ap-6151	167	18	)	)	PUNCT
ap-6151	167	19	in	in	ADP
ap-6151	167	20	the	the	DET
ap-6151	167	21	parametric	parametric	ADJ
ap-6151	167	22	domain	domain	NOUN
ap-6151	167	23	coincides	coincide	VERB
ap-6151	167	24	with	with	ADP
ap-6151	167	25	the	the	DET
ap-6151	167	26	point	point	NOUN
ap-6151	167	27	(	(	PUNCT
ap-6151	167	28	x	x	NOUN
ap-6151	167	29	,	,	PUNCT
ap-6151	167	30	y	y	NOUN
ap-6151	167	31	)	)	PUNCT
ap-6151	167	32	in	in	ADP
ap-6151	167	33	the	the	DET
ap-6151	167	34	physical	physical	ADJ
ap-6151	167	35	domain	domain	NOUN
ap-6151	167	36	.	.	PUNCT
ap-6151	168	1	altogether	altogether	ADV
ap-6151	168	2	,	,	PUNCT
ap-6151	168	3	the	the	DET
ap-6151	168	4	above	above	ADV
ap-6151	168	5	mentioned	mention	VERB
ap-6151	168	6	facts	fact	NOUN
ap-6151	168	7	allow	allow	VERB
ap-6151	168	8	us	we	PRON
ap-6151	168	9	to	to	PART
ap-6151	168	10	limit	limit	VERB
ap-6151	168	11	to	to	ADP
ap-6151	168	12	b	b	X
ap-6151	168	13	-	-	PUNCT
ap-6151	168	14	spline	spline	NOUN
ap-6151	168	15	functions	function	NOUN
ap-6151	168	16	,	,	PUNCT
ap-6151	168	17	instead	instead	ADV
ap-6151	168	18	of	of	ADP
ap-6151	168	19	more	more	ADV
ap-6151	168	20	general	general	ADJ
ap-6151	168	21	b	b	NOUN
ap-6151	168	22	-	-	PUNCT
ap-6151	168	23	spline	spline	NOUN
ap-6151	168	24	surfaces	surface	NOUN
ap-6151	168	25	.	.	PUNCT
ap-6151	169	1	let	let	VERB
ap-6151	169	2	us	we	PRON
ap-6151	169	3	denote	denote	VERB
ap-6151	169	4	the	the	DET
ap-6151	169	5	tensor	tensor	NOUN
ap-6151	169	6	product	product	NOUN
ap-6151	169	7	b	b	NOUN
ap-6151	169	8	-	-	PUNCT
ap-6151	169	9	spline	spline	NOUN
ap-6151	169	10	space	space	NOUN
ap-6151	169	11	spanned	span	VERB
ap-6151	169	12	by	by	ADP
ap-6151	169	13	the	the	DET
ap-6151	169	14	basis	basis	NOUN
ap-6151	169	15	functions	function	NOUN
ap-6151	169	16	qi	qi	PROPN
ap-6151	169	17	,	,	PUNCT
ap-6151	169	18	j(ξ	j(ξ	PROPN
ap-6151	169	19	,	,	PUNCT
ap-6151	169	20	ψ	ψ	NOUN
ap-6151	169	21	)	)	PUNCT
ap-6151	169	22	as	as	ADP
ap-6151	169	23	skr	skr	NOUN
ap-6151	169	24	=	=	SYM
ap-6151	169	25	span{qi	span{qi	NOUN
ap-6151	169	26	,	,	PUNCT
ap-6151	169	27	j}n	j}n	NOUN
ap-6151	169	28	,	,	PUNCT
ap-6151	169	29	mi=1,j=1	mi=1,j=1	NOUN
ap-6151	169	30	(	(	PUNCT
ap-6151	169	31	11	11	NUM
ap-6151	169	32	)	)	PUNCT
ap-6151	169	33	36	36	NUM
ap-6151	169	34	vol	vol	NOUN
ap-6151	169	35	.	.	PUNCT
ap-6151	170	1	61	61	NUM
ap-6151	170	2	special	special	ADJ
ap-6151	170	3	issue/2021	issue/2021	NOUN
ap-6151	170	4	numerical	numerical	PROPN
ap-6151	170	5	simulation	simulation	PROPN
ap-6151	170	6	of	of	ADP
ap-6151	170	7	lid	lid	NOUN
ap-6151	170	8	-	-	PUNCT
ap-6151	170	9	driven	drive	VERB
ap-6151	170	10	cavity	cavity	NOUN
ap-6151	170	11	flow	flow	NOUN
ap-6151	170	12	by	by	ADP
ap-6151	170	13	isogeometric	isogeometric	ADJ
ap-6151	170	14	analysis	analysis	NOUN
ap-6151	170	15	and	and	CCONJ
ap-6151	170	16	the	the	DET
ap-6151	170	17	cartesian	cartesian	ADJ
ap-6151	170	18	product	product	NOUN
ap-6151	170	19	of	of	ADP
ap-6151	170	20	these	these	DET
ap-6151	170	21	tensor	tensor	NOUN
ap-6151	170	22	product	product	NOUN
ap-6151	170	23	b	b	NOUN
ap-6151	170	24	-	-	PUNCT
ap-6151	170	25	spline	spline	NOUN
ap-6151	170	26	spaces	space	NOUN
ap-6151	170	27	as	as	ADP
ap-6151	170	28	sk	sk	PRON
ap-6151	170	29	r	r	NOUN
ap-6151	170	30	=	=	SYM
ap-6151	170	31	skr	skr	PROPN
ap-6151	170	32	×	×	PROPN
ap-6151	170	33	skr	skr	PROPN
ap-6151	170	34	.	.	PUNCT
ap-6151	171	1	for	for	ADP
ap-6151	171	2	simplicity	simplicity	NOUN
ap-6151	171	3	of	of	ADP
ap-6151	171	4	notation	notation	NOUN
ap-6151	171	5	,	,	PUNCT
ap-6151	171	6	let	let	VERB
ap-6151	171	7	us	we	PRON
ap-6151	171	8	re	re	VERB
ap-6151	171	9	-	-	NOUN
ap-6151	171	10	index	index	VERB
ap-6151	171	11	the	the	DET
ap-6151	171	12	coefficients	coefficient	NOUN
ap-6151	171	13	and	and	CCONJ
ap-6151	171	14	the	the	DET
ap-6151	171	15	basis	basis	NOUN
ap-6151	171	16	functions	function	NOUN
ap-6151	171	17	with	with	ADP
ap-6151	171	18	one	one	NUM
ap-6151	171	19	index	index	NOUN
ap-6151	171	20	`	`	PUNCT
ap-6151	171	21	such	such	ADJ
ap-6151	171	22	that	that	SCONJ
ap-6151	171	23	f(ξ	f(ξ	NOUN
ap-6151	171	24	,	,	PUNCT
ap-6151	171	25	ψ	ψ	NOUN
ap-6151	171	26	)	)	PUNCT
ap-6151	171	27	=	=	SYM
ap-6151	172	1	n∑	n∑	NOUN
ap-6151	172	2	`	`	PUNCT
ap-6151	172	3	=	=	SYM
ap-6151	172	4	1	1	NUM
ap-6151	172	5	c`q`(ξ	c`q`(ξ	NOUN
ap-6151	172	6	,	,	PUNCT
ap-6151	172	7	ψ	ψ	NOUN
ap-6151	172	8	)	)	PUNCT
ap-6151	172	9	,	,	PUNCT
ap-6151	172	10	n	n	NOUN
ap-6151	172	11	=	=	SYM
ap-6151	172	12	n	n	PRON
ap-6151	172	13	·	·	PUNCT
ap-6151	172	14	m.	m.	NOUN
ap-6151	172	15	(	(	PUNCT
ap-6151	172	16	12	12	NUM
ap-6151	172	17	)	)	PUNCT
ap-6151	173	1	a	a	DET
ap-6151	173	2	b	b	X
ap-6151	173	3	-	-	PUNCT
ap-6151	173	4	spline	spline	NOUN
ap-6151	173	5	mesh	mesh	NOUN
ap-6151	173	6	used	use	VERB
ap-6151	173	7	in	in	ADP
ap-6151	173	8	isogeometric	isogeometric	ADJ
ap-6151	173	9	analysis	analysis	NOUN
ap-6151	173	10	is	be	AUX
ap-6151	173	11	already	already	ADV
ap-6151	173	12	defined	define	VERB
ap-6151	173	13	by	by	ADP
ap-6151	173	14	the	the	DET
ap-6151	173	15	knot	knot	NOUN
ap-6151	173	16	vectors	vector	NOUN
ap-6151	173	17	ξ	ξ	NOUN
ap-6151	173	18	,	,	PUNCT
ap-6151	173	19	ψ	ψ	NOUN
ap-6151	173	20	.	.	PUNCT
ap-6151	174	1	if	if	SCONJ
ap-6151	174	2	the	the	DET
ap-6151	174	3	subsequent	subsequent	ADJ
ap-6151	174	4	knots	knot	NOUN
ap-6151	174	5	are	be	AUX
ap-6151	174	6	different	different	ADJ
ap-6151	174	7	from	from	ADP
ap-6151	174	8	each	each	DET
ap-6151	174	9	other	other	ADJ
ap-6151	174	10	,	,	PUNCT
ap-6151	174	11	i.e.	i.e.	X
ap-6151	174	12	ξi	ξi	NOUN
ap-6151	174	13	6=	6=	SYM
ap-6151	174	14	ξi+1	ξi+1	ADV
ap-6151	174	15	and	and	CCONJ
ap-6151	174	16	ψj	ψj	ADV
ap-6151	174	17	6=	6=	ADP
ap-6151	174	18	ψj+1	ψj+1	NOUN
ap-6151	174	19	,	,	PUNCT
ap-6151	174	20	then	then	ADV
ap-6151	174	21	[	[	X
ap-6151	174	22	ξi	ξi	NOUN
ap-6151	174	23	,	,	PUNCT
ap-6151	174	24	ξi+1]×	ξi+1]×	NOUN
ap-6151	175	1	[	[	X
ap-6151	175	2	ψj	ψj	ADV
ap-6151	175	3	,	,	PUNCT
ap-6151	175	4	ψj+1	ψj+1	PROPN
ap-6151	175	5	]	]	PUNCT
ap-6151	175	6	defines	define	VERB
ap-6151	175	7	an	an	DET
ap-6151	175	8	element	element	NOUN
ap-6151	175	9	of	of	ADP
ap-6151	175	10	the	the	DET
ap-6151	175	11	computational	computational	ADJ
ap-6151	175	12	mesh	mesh	NOUN
ap-6151	175	13	.	.	PUNCT
ap-6151	176	1	let	let	VERB
ap-6151	176	2	us	we	PRON
ap-6151	176	3	now	now	ADV
ap-6151	176	4	define	define	VERB
ap-6151	176	5	the	the	DET
ap-6151	176	6	discrete	discrete	ADJ
ap-6151	176	7	spaces	space	NOUN
ap-6151	176	8	v	v	ADP
ap-6151	176	9	h	h	NOUN
ap-6151	176	10	,	,	PUNCT
ap-6151	176	11	v	v	PROPN
ap-6151	176	12	h0	h0	NOUN
ap-6151	176	13	,	,	PUNCT
ap-6151	176	14	wh	wh	NOUN
ap-6151	176	15	as	as	ADP
ap-6151	176	16	subspaces	subspace	NOUN
ap-6151	176	17	of	of	ADP
ap-6151	176	18	v	v	NOUN
ap-6151	176	19	,	,	PUNCT
ap-6151	176	20	v0,w	v0,w	PROPN
ap-6151	176	21	generated	generate	VERB
ap-6151	176	22	by	by	ADP
ap-6151	176	23	the	the	DET
ap-6151	176	24	basis	basis	NOUN
ap-6151	176	25	functions	function	NOUN
ap-6151	176	26	defining	define	VERB
ap-6151	176	27	the	the	DET
ap-6151	176	28	geometry	geometry	NOUN
ap-6151	176	29	of	of	ADP
ap-6151	176	30	ω	ω	PROPN
ap-6151	176	31	.	.	PUNCT
ap-6151	177	1	the	the	DET
ap-6151	177	2	velocity	velocity	NOUN
ap-6151	177	3	and	and	CCONJ
ap-6151	177	4	pressure	pressure	NOUN
ap-6151	177	5	spaces	space	NOUN
ap-6151	177	6	must	must	AUX
ap-6151	177	7	satisfy	satisfy	VERB
ap-6151	177	8	the	the	DET
ap-6151	177	9	condition	condition	NOUN
ap-6151	177	10	(	(	PUNCT
ap-6151	177	11	8)	8)	NUM
ap-6151	177	12	.	.	PUNCT
ap-6151	178	1	the	the	DET
ap-6151	178	2	inf	inf	ADJ
ap-6151	178	3	-	-	PUNCT
ap-6151	178	4	sup	sup	NOUN
ap-6151	178	5	stability	stability	NOUN
ap-6151	178	6	of	of	ADP
ap-6151	178	7	some	some	DET
ap-6151	178	8	combinations	combination	NOUN
ap-6151	178	9	of	of	ADP
ap-6151	178	10	the	the	DET
ap-6151	178	11	discrete	discrete	ADJ
ap-6151	178	12	solution	solution	NOUN
ap-6151	178	13	spaces	space	NOUN
ap-6151	178	14	in	in	ADP
ap-6151	178	15	isogeometric	isogeometric	ADJ
ap-6151	178	16	analysis	analysis	NOUN
ap-6151	178	17	is	be	AUX
ap-6151	178	18	addressed	address	VERB
ap-6151	178	19	e.g.	e.g.	ADV
ap-6151	178	20	in	in	ADP
ap-6151	178	21	[	[	X
ap-6151	178	22	45	45	NUM
ap-6151	178	23	,	,	PUNCT
ap-6151	178	24	46	46	NUM
ap-6151	178	25	]	]	PUNCT
ap-6151	178	26	.	.	PUNCT
ap-6151	179	1	as	as	ADP
ap-6151	179	2	examples	example	NOUN
ap-6151	179	3	of	of	ADP
ap-6151	179	4	stable	stable	ADJ
ap-6151	179	5	pairs	pair	NOUN
ap-6151	179	6	of	of	ADP
ap-6151	179	7	b	b	NOUN
ap-6151	179	8	-	-	PUNCT
ap-6151	179	9	spline	spline	ADJ
ap-6151	179	10	discretization	discretization	NOUN
ap-6151	179	11	spaces	space	VERB
ap-6151	179	12	,	,	PUNCT
ap-6151	179	13	let	let	VERB
ap-6151	179	14	us	we	PRON
ap-6151	179	15	mention	mention	VERB
ap-6151	179	16	taylor	taylor	PROPN
ap-6151	179	17	–	–	PUNCT
ap-6151	179	18	hood	hood	NOUN
ap-6151	179	19	(	(	PUNCT
ap-6151	179	20	th	th	NOUN
ap-6151	179	21	)	)	PUNCT
ap-6151	179	22	pairs	pair	NOUN
ap-6151	179	23	of	of	ADP
ap-6151	179	24	b	b	NOUN
ap-6151	179	25	-	-	PUNCT
ap-6151	179	26	spline	spline	NOUN
ap-6151	179	27	spaces	space	NOUN
ap-6151	179	28	(	(	PUNCT
ap-6151	179	29	an	an	DET
ap-6151	179	30	analogue	analogue	NOUN
ap-6151	179	31	of	of	ADP
ap-6151	179	32	the	the	DET
ap-6151	179	33	taylor	taylor	PROPN
ap-6151	179	34	–	–	PUNCT
ap-6151	179	35	hood	hood	NOUN
ap-6151	179	36	pairs	pair	NOUN
ap-6151	179	37	of	of	ADP
ap-6151	179	38	finite	finite	ADJ
ap-6151	179	39	element	element	NOUN
ap-6151	179	40	spaces	space	NOUN
ap-6151	179	41	)	)	PUNCT
ap-6151	179	42	which	which	PRON
ap-6151	179	43	can	can	AUX
ap-6151	179	44	be	be	AUX
ap-6151	179	45	defined	define	VERB
ap-6151	179	46	by	by	ADP
ap-6151	179	47	taking	take	VERB
ap-6151	179	48	the	the	DET
ap-6151	179	49	pressure	pressure	NOUN
ap-6151	179	50	basis	basis	NOUN
ap-6151	179	51	functions	function	NOUN
ap-6151	179	52	equal	equal	ADJ
ap-6151	179	53	to	to	ADP
ap-6151	179	54	the	the	DET
ap-6151	179	55	geometry	geometry	NOUN
ap-6151	179	56	basis	basis	NOUN
ap-6151	179	57	functions	function	NOUN
ap-6151	179	58	(	(	PUNCT
ap-6151	179	59	i.e.	i.e.	X
ap-6151	179	60	,	,	PUNCT
ap-6151	179	61	qp	qp	ADP
ap-6151	179	62	`	`	PUNCT
ap-6151	179	63	(	(	PUNCT
ap-6151	179	64	ξ	ξ	X
ap-6151	179	65	,	,	PUNCT
ap-6151	179	66	ψ	ψ	NOUN
ap-6151	179	67	)	)	PUNCT
ap-6151	179	68	=	=	SYM
ap-6151	180	1	q	q	ADJ
ap-6151	180	2	`	`	PUNCT
ap-6151	180	3	,	,	PUNCT
ap-6151	180	4	∀	∀	X
ap-6151	180	5	`	`	PUNCT
ap-6151	180	6	)	)	PUNCT
ap-6151	180	7	and	and	CCONJ
ap-6151	180	8	the	the	DET
ap-6151	180	9	velocity	velocity	NOUN
ap-6151	180	10	basis	basis	NOUN
ap-6151	180	11	functions	function	NOUN
ap-6151	180	12	{	{	PUNCT
ap-6151	180	13	quj	quj	NOUN
ap-6151	180	14	(	(	PUNCT
ap-6151	180	15	ξ	ξ	PROPN
ap-6151	180	16	,	,	PUNCT
ap-6151	180	17	ψ	ψ	NOUN
ap-6151	180	18	)	)	PUNCT
ap-6151	180	19	}	}	PUNCT
ap-6151	180	20	as	as	ADP
ap-6151	180	21	the	the	DET
ap-6151	180	22	b	b	NOUN
ap-6151	180	23	-	-	PUNCT
ap-6151	180	24	spline	spline	NOUN
ap-6151	180	25	basis	basis	NOUN
ap-6151	180	26	functions	function	NOUN
ap-6151	180	27	obtained	obtain	VERB
ap-6151	180	28	by	by	ADP
ap-6151	180	29	degree	degree	NOUN
ap-6151	180	30	elevation	elevation	NOUN
ap-6151	180	31	of	of	ADP
ap-6151	180	32	the	the	DET
ap-6151	180	33	pressure	pressure	NOUN
ap-6151	180	34	basis	basis	NOUN
ap-6151	180	35	functions	function	NOUN
ap-6151	180	36	{	{	PUNCT
ap-6151	180	37	qp	qp	ADP
ap-6151	180	38	`	`	PUNCT
ap-6151	180	39	(	(	PUNCT
ap-6151	180	40	ξ	ξ	X
ap-6151	180	41	,	,	PUNCT
ap-6151	180	42	ψ	ψ	NOUN
ap-6151	180	43	)	)	PUNCT
ap-6151	180	44	}	}	PUNCT
ap-6151	180	45	.	.	PUNCT
ap-6151	181	1	hence	hence	ADV
ap-6151	181	2	,	,	PUNCT
ap-6151	181	3	the	the	DET
ap-6151	181	4	velocity	velocity	NOUN
ap-6151	181	5	basis	basis	NOUN
ap-6151	181	6	functions	function	NOUN
ap-6151	181	7	are	be	AUX
ap-6151	181	8	of	of	ADP
ap-6151	181	9	bi	bi	ADJ
ap-6151	181	10	-	-	NOUN
ap-6151	181	11	degree	degree	NOUN
ap-6151	181	12	(	(	PUNCT
ap-6151	181	13	k	k	NOUN
ap-6151	182	1	+	+	PROPN
ap-6151	182	2	1	1	NUM
ap-6151	182	3	,	,	PUNCT
ap-6151	182	4	k	k	PROPN
ap-6151	183	1	+	+	PROPN
ap-6151	183	2	1	1	NUM
ap-6151	183	3	)	)	PUNCT
ap-6151	184	1	,	,	PUNCT
ap-6151	184	2	both	both	CCONJ
ap-6151	184	3	velocity	velocity	NOUN
ap-6151	184	4	and	and	CCONJ
ap-6151	184	5	pressure	pressure	NOUN
ap-6151	184	6	bases	basis	NOUN
ap-6151	184	7	are	be	AUX
ap-6151	184	8	defined	define	VERB
ap-6151	184	9	on	on	ADP
ap-6151	184	10	the	the	DET
ap-6151	184	11	same	same	ADJ
ap-6151	184	12	mesh	mesh	NOUN
ap-6151	184	13	and	and	CCONJ
ap-6151	184	14	have	have	VERB
ap-6151	184	15	the	the	DET
ap-6151	184	16	same	same	ADJ
ap-6151	184	17	order	order	NOUN
ap-6151	184	18	of	of	ADP
ap-6151	184	19	continuity	continuity	NOUN
ap-6151	184	20	.	.	PUNCT
ap-6151	185	1	this	this	PRON
ap-6151	185	2	yields	yield	VERB
ap-6151	185	3	the	the	DET
ap-6151	185	4	following	follow	VERB
ap-6151	185	5	definition	definition	NOUN
ap-6151	185	6	v	v	ADP
ap-6151	185	7	h	h	NOUN
ap-6151	185	8	=	=	PUNCT
ap-6151	185	9	{	{	PUNCT
ap-6151	185	10	u	u	NOUN
ap-6151	185	11	:	:	PUNCT
ap-6151	185	12	u	u	PROPN
ap-6151	185	13	∈	∈	PROPN
ap-6151	185	14	sk+1	sk+1	NUM
ap-6151	185	15	r	r	NOUN
ap-6151	185	16	∧	∧	PROPN
ap-6151	185	17	u	u	NOUN
ap-6151	185	18	=	=	PROPN
ap-6151	185	19	gd	gd	PROPN
ap-6151	185	20	on	on	ADP
ap-6151	185	21	∂ωd	∂ωd	NOUN
ap-6151	185	22	}	}	PUNCT
ap-6151	185	23	,	,	PUNCT
ap-6151	185	24	v	v	PROPN
ap-6151	185	25	h0	h0	NOUN
ap-6151	185	26	=	=	PUNCT
ap-6151	185	27	{	{	PUNCT
ap-6151	185	28	v	v	NOUN
ap-6151	185	29	:	:	PUNCT
ap-6151	185	30	v	v	NUM
ap-6151	185	31	∈	∈	NOUN
ap-6151	185	32	sk+1	sk+1	NUM
ap-6151	185	33	r	r	NOUN
ap-6151	185	34	∧	∧	PROPN
ap-6151	185	35	v	v	NOUN
ap-6151	185	36	=	=	SYM
ap-6151	185	37	0	0	NUM
ap-6151	185	38	on	on	ADP
ap-6151	185	39	∂ωd	∂ωd	NOUN
ap-6151	185	40	}	}	PUNCT
ap-6151	185	41	,	,	PUNCT
ap-6151	185	42	(	(	PUNCT
ap-6151	185	43	13	13	NUM
ap-6151	185	44	)	)	PUNCT
ap-6151	185	45	wh	wh	NOUN
ap-6151	185	46	=	=	PUNCT
ap-6151	185	47	{	{	PUNCT
ap-6151	185	48	q	q	NOUN
ap-6151	185	49	:	:	PUNCT
ap-6151	185	50	q	q	PUNCT
ap-6151	185	51	∈	∈	PROPN
ap-6151	185	52	skr	skr	PROPN
ap-6151	185	53	}	}	PUNCT
ap-6151	185	54	.	.	PUNCT
ap-6151	186	1	the	the	DET
ap-6151	186	2	discrete	discrete	ADJ
ap-6151	186	3	velocity	velocity	NOUN
ap-6151	186	4	uh	uh	INTJ
ap-6151	186	5	∈	∈	PROPN
ap-6151	186	6	v	v	NOUN
ap-6151	186	7	h	h	NOUN
ap-6151	186	8	and	and	CCONJ
ap-6151	186	9	pressure	pressure	NOUN
ap-6151	186	10	ph	ph	NOUN
ap-6151	186	11	∈	∈	NOUN
ap-6151	186	12	wh	wh	NOUN
ap-6151	186	13	can	can	AUX
ap-6151	186	14	be	be	AUX
ap-6151	186	15	written	write	VERB
ap-6151	186	16	as	as	ADP
ap-6151	186	17	linear	linear	ADJ
ap-6151	186	18	combinations	combination	NOUN
ap-6151	186	19	of	of	ADP
ap-6151	186	20	the	the	DET
ap-6151	186	21	basis	basis	NOUN
ap-6151	186	22	functions	function	NOUN
ap-6151	186	23	,	,	PUNCT
ap-6151	186	24	i.e.	i.e.	X
ap-6151	186	25	,	,	PUNCT
ap-6151	186	26	uh	uh	INTJ
ap-6151	186	27	=	=	SYM
ap-6151	186	28	nu	nu	PROPN
ap-6151	186	29	f∑	f∑	PROPN
ap-6151	187	1	i=1	i=1	PROPN
ap-6151	188	1	uiqui	uiqui	PROPN
ap-6151	188	2	(	(	PUNCT
ap-6151	188	3	x	x	NOUN
ap-6151	188	4	,	,	PUNCT
ap-6151	188	5	y	y	PROPN
ap-6151	188	6	)	)	PUNCT
ap-6151	189	1	+	+	CCONJ
ap-6151	189	2	nu∑	nu∑	ADV
ap-6151	189	3	i	i	PRON
ap-6151	189	4	=	=	PROPN
ap-6151	189	5	nu	nu	NOUN
ap-6151	189	6	f	f	X
ap-6151	189	7	+1	+1	PROPN
ap-6151	189	8	u∗iqui	u∗iqui	NOUN
ap-6151	189	9	(	(	PUNCT
ap-6151	189	10	x	x	X
ap-6151	189	11	,	,	PUNCT
ap-6151	189	12	y),(14	y),(14	NOUN
ap-6151	189	13	)	)	PUNCT
ap-6151	189	14	ph	ph	NOUN
ap-6151	189	15	=	=	SYM
ap-6151	189	16	np∑	np∑	PROPN
ap-6151	189	17	j=1	j=1	NOUN
ap-6151	189	18	pjq	pjq	VERB
ap-6151	189	19	p	p	PROPN
ap-6151	189	20	j	j	PROPN
ap-6151	189	21	(	(	PUNCT
ap-6151	189	22	x	x	PROPN
ap-6151	189	23	,	,	PUNCT
ap-6151	189	24	y	y	PROPN
ap-6151	189	25	)	)	PUNCT
ap-6151	189	26	,	,	PUNCT
ap-6151	189	27	(	(	PUNCT
ap-6151	189	28	15	15	NUM
ap-6151	189	29	)	)	PUNCT
ap-6151	190	1	where	where	SCONJ
ap-6151	190	2	qui	qui	X
ap-6151	190	3	(	(	PUNCT
ap-6151	190	4	x	x	NOUN
ap-6151	190	5	,	,	PUNCT
ap-6151	190	6	y	y	NOUN
ap-6151	190	7	)	)	PUNCT
ap-6151	190	8	=	=	SYM
ap-6151	190	9	qui	qui	X
ap-6151	190	10	(	(	PUNCT
ap-6151	190	11	ξ	ξ	PROPN
ap-6151	190	12	,	,	PUNCT
ap-6151	190	13	ψ),∀i	ψ),∀i	PROPN
ap-6151	190	14	,	,	PUNCT
ap-6151	190	15	qpj	qpj	ADJ
ap-6151	190	16	(	(	PUNCT
ap-6151	190	17	x	x	NOUN
ap-6151	190	18	,	,	PUNCT
ap-6151	190	19	y	y	NOUN
ap-6151	190	20	)	)	PUNCT
ap-6151	190	21	=	=	SYM
ap-6151	191	1	qpj	qpj	PROPN
ap-6151	191	2	(	(	PUNCT
ap-6151	191	3	ξ	ξ	PROPN
ap-6151	191	4	,	,	PUNCT
ap-6151	191	5	ψ),∀j	ψ),∀j	PROPN
ap-6151	191	6	(	(	PUNCT
ap-6151	191	7	specifically	specifically	ADV
ap-6151	191	8	in	in	ADP
ap-6151	191	9	this	this	DET
ap-6151	191	10	case	case	NOUN
ap-6151	191	11	,	,	PUNCT
ap-6151	191	12	see	see	VERB
ap-6151	191	13	(	(	PUNCT
ap-6151	191	14	10	10	NUM
ap-6151	191	15	)	)	PUNCT
ap-6151	191	16	and	and	CCONJ
ap-6151	191	17	the	the	DET
ap-6151	191	18	discussion	discussion	NOUN
ap-6151	191	19	below	below	ADP
ap-6151	191	20	)	)	PUNCT
ap-6151	191	21	and	and	CCONJ
ap-6151	191	22	ui	ui	PROPN
ap-6151	191	23	∈	∈	PROPN
ap-6151	191	24	r2	r2	PROPN
ap-6151	191	25	and	and	CCONJ
ap-6151	191	26	pj	pj	PROPN
ap-6151	191	27	∈	∈	PROPN
ap-6151	191	28	r	r	NOUN
ap-6151	191	29	are	be	AUX
ap-6151	191	30	unknown	unknown	ADJ
ap-6151	191	31	coefficients	coefficient	NOUN
ap-6151	191	32	,	,	PUNCT
ap-6151	191	33	nu	nu	INTJ
ap-6151	191	34	,	,	PUNCT
ap-6151	191	35	np	np	PRON
ap-6151	191	36	are	be	AUX
ap-6151	191	37	number	number	NOUN
ap-6151	191	38	of	of	ADP
ap-6151	191	39	velocity	velocity	NOUN
ap-6151	191	40	and	and	CCONJ
ap-6151	191	41	pressure	pressure	NOUN
ap-6151	191	42	basis	basis	NOUN
ap-6151	191	43	functions	function	NOUN
ap-6151	191	44	,	,	PUNCT
ap-6151	191	45	respectively	respectively	ADV
ap-6151	191	46	,	,	PUNCT
ap-6151	191	47	and	and	CCONJ
ap-6151	191	48	nu	nu	PROPN
ap-6151	191	49	f	f	PROPN
ap-6151	191	50	is	be	AUX
ap-6151	191	51	the	the	DET
ap-6151	191	52	number	number	NOUN
ap-6151	191	53	of	of	ADP
ap-6151	191	54	"	"	PUNCT
ap-6151	191	55	free	free	ADJ
ap-6151	191	56	"	"	PUNCT
ap-6151	191	57	velocity	velocity	NOUN
ap-6151	191	58	basis	basis	NOUN
ap-6151	191	59	functions	function	NOUN
ap-6151	191	60	whose	whose	DET
ap-6151	191	61	coefficients	coefficient	NOUN
ap-6151	191	62	are	be	AUX
ap-6151	191	63	not	not	PART
ap-6151	191	64	fixed	fix	VERB
ap-6151	191	65	due	due	ADP
ap-6151	191	66	to	to	ADP
ap-6151	191	67	dirichlet	dirichlet	PROPN
ap-6151	191	68	boundary	boundary	ADJ
ap-6151	191	69	conditions	condition	NOUN
ap-6151	191	70	.	.	PUNCT
ap-6151	192	1	the	the	DET
ap-6151	192	2	coefficients	coefficient	NOUN
ap-6151	192	3	u∗i	u∗i	PUNCT
ap-6151	192	4	come	come	VERB
ap-6151	192	5	from	from	ADP
ap-6151	192	6	a	a	DET
ap-6151	192	7	b	b	NOUN
ap-6151	192	8	-	-	PUNCT
ap-6151	192	9	spline	spline	NOUN
ap-6151	192	10	representation	representation	NOUN
ap-6151	192	11	of	of	ADP
ap-6151	192	12	the	the	DET
ap-6151	192	13	dirichlet	dirichlet	PROPN
ap-6151	192	14	data	datum	NOUN
ap-6151	192	15	at	at	ADP
ap-6151	192	16	the	the	DET
ap-6151	192	17	boundary	boundary	NOUN
ap-6151	192	18	,	,	PUNCT
ap-6151	192	19	which	which	PRON
ap-6151	192	20	is	be	AUX
ap-6151	192	21	assumed	assume	VERB
ap-6151	192	22	as	as	ADP
ap-6151	192	23	known	know	VERB
ap-6151	192	24	.	.	PUNCT
ap-6151	193	1	after	after	ADP
ap-6151	193	2	substituting	substitute	VERB
ap-6151	193	3	(	(	PUNCT
ap-6151	193	4	14	14	NUM
ap-6151	193	5	)	)	PUNCT
ap-6151	193	6	and	and	CCONJ
ap-6151	193	7	(	(	PUNCT
ap-6151	193	8	15	15	NUM
ap-6151	193	9	)	)	PUNCT
ap-6151	193	10	into	into	ADP
ap-6151	193	11	the	the	DET
ap-6151	193	12	discrete	discrete	ADJ
ap-6151	193	13	linearized	linearize	VERB
ap-6151	193	14	weak	weak	ADJ
ap-6151	193	15	formulation	formulation	NOUN
ap-6151	193	16	,	,	PUNCT
ap-6151	193	17	we	we	PRON
ap-6151	193	18	obtain	obtain	VERB
ap-6151	193	19	a	a	DET
ap-6151	193	20	linear	linear	ADJ
ap-6151	193	21	system	system	NOUN
ap-6151	193	22	of	of	ADP
ap-6151	193	23	the	the	DET
ap-6151	193	24	form	form	NOUN
ap-6151	193	25	(	(	PUNCT
ap-6151	193	26	7	7	NUM
ap-6151	193	27	)	)	PUNCT
ap-6151	193	28	for	for	ADP
ap-6151	193	29	the	the	DET
ap-6151	193	30	unknown	unknown	ADJ
ap-6151	193	31	coefficients	coefficient	NOUN
ap-6151	193	32	ui	ui	PROPN
ap-6151	193	33	and	and	CCONJ
ap-6151	193	34	pj	pj	PROPN
ap-6151	193	35	.	.	PUNCT
ap-6151	194	1	similarly	similarly	ADV
ap-6151	194	2	to	to	ADP
ap-6151	194	3	the	the	DET
ap-6151	194	4	finite	finite	ADJ
ap-6151	194	5	element	element	NOUN
ap-6151	194	6	method	method	NOUN
ap-6151	194	7	,	,	PUNCT
ap-6151	194	8	the	the	DET
ap-6151	194	9	system	system	NOUN
ap-6151	194	10	matrix	matrix	NOUN
ap-6151	194	11	is	be	AUX
ap-6151	194	12	sparse	sparse	ADJ
ap-6151	194	13	thanks	thank	NOUN
ap-6151	194	14	to	to	ADP
ap-6151	194	15	local	local	ADJ
ap-6151	194	16	supports	support	NOUN
ap-6151	194	17	of	of	ADP
ap-6151	194	18	the	the	DET
ap-6151	194	19	b	b	NOUN
ap-6151	194	20	-	-	PUNCT
ap-6151	194	21	spline	spline	NOUN
ap-6151	194	22	basis	basis	NOUN
ap-6151	194	23	functions	function	NOUN
ap-6151	194	24	.	.	PUNCT
ap-6151	195	1	for	for	ADP
ap-6151	195	2	degree	degree	NOUN
ap-6151	195	3	k	k	X
ap-6151	195	4	equal	equal	ADJ
ap-6151	195	5	to	to	ADP
ap-6151	195	6	1	1	NUM
ap-6151	195	7	the	the	DET
ap-6151	195	8	b	b	NOUN
ap-6151	195	9	-	-	PUNCT
ap-6151	195	10	spline	spline	NOUN
ap-6151	195	11	basis	basis	NOUN
ap-6151	195	12	is	be	AUX
ap-6151	195	13	the	the	DET
ap-6151	195	14	same	same	ADJ
ap-6151	195	15	as	as	ADP
ap-6151	195	16	the	the	DET
ap-6151	195	17	corresponding	corresponding	ADJ
ap-6151	195	18	finite	finite	ADJ
ap-6151	195	19	element	element	NOUN
ap-6151	195	20	basis	basis	NOUN
ap-6151	195	21	.	.	PUNCT
ap-6151	196	1	for	for	ADP
ap-6151	196	2	higher	high	ADJ
ap-6151	196	3	degrees	degree	NOUN
ap-6151	196	4	,	,	PUNCT
ap-6151	196	5	however	however	ADV
ap-6151	196	6	,	,	PUNCT
ap-6151	196	7	they	they	PRON
ap-6151	196	8	differ	differ	VERB
ap-6151	196	9	from	from	ADP
ap-6151	196	10	each	each	DET
ap-6151	196	11	other	other	ADJ
ap-6151	196	12	.	.	PUNCT
ap-6151	197	1	for	for	ADP
ap-6151	197	2	illustration	illustration	NOUN
ap-6151	197	3	,	,	PUNCT
ap-6151	197	4	see	see	VERB
ap-6151	197	5	the	the	DET
ap-6151	197	6	comparison	comparison	NOUN
ap-6151	197	7	of	of	ADP
ap-6151	197	8	quadratic	quadratic	ADJ
ap-6151	197	9	fem	fem	NOUN
ap-6151	197	10	and	and	CCONJ
ap-6151	197	11	iga	iga	PROPN
ap-6151	197	12	bases	basis	NOUN
ap-6151	197	13	on	on	ADP
ap-6151	197	14	a	a	DET
ap-6151	197	15	1d	1d	NUM
ap-6151	197	16	“	"	PUNCT
ap-6151	197	17	mesh	mesh	NOUN
ap-6151	197	18	”	"	PUNCT
ap-6151	197	19	consisting	consist	VERB
ap-6151	197	20	of	of	ADP
ap-6151	197	21	three	three	NUM
ap-6151	197	22	equal	equal	ADJ
ap-6151	197	23	elements	element	NOUN
ap-6151	197	24	in	in	ADP
ap-6151	197	25	figure	figure	NOUN
ap-6151	197	26	1	1	NUM
ap-6151	197	27	.	.	PUNCT
ap-6151	197	28	figure	figure	NOUN
ap-6151	197	29	1(a	1(a	NUM
ap-6151	197	30	)	)	PUNCT
ap-6151	197	31	shows	show	VERB
ap-6151	197	32	the	the	DET
ap-6151	197	33	standard	standard	ADJ
ap-6151	197	34	quadratic	quadratic	ADJ
ap-6151	197	35	fem	fem	NOUN
ap-6151	197	36	basis	basis	NOUN
ap-6151	197	37	and	and	CCONJ
ap-6151	197	38	figure	figure	VERB
ap-6151	197	39	1(b	1(b	NUM
ap-6151	197	40	)	)	PUNCT
ap-6151	197	41	shows	show	VERB
ap-6151	197	42	a	a	DET
ap-6151	197	43	c1	c1	NOUN
ap-6151	197	44	continuous	continuous	ADJ
ap-6151	197	45	quadratic	quadratic	ADJ
ap-6151	197	46	b	b	NOUN
ap-6151	197	47	-	-	PUNCT
ap-6151	197	48	spline	spline	NOUN
ap-6151	197	49	basis	basis	NOUN
ap-6151	197	50	for	for	ADP
ap-6151	197	51	the	the	DET
ap-6151	197	52	open	open	ADJ
ap-6151	197	53	knot	knot	NOUN
ap-6151	197	54	vector	vector	NOUN
ap-6151	197	55	ξ	ξ	NOUN
ap-6151	197	56	=	=	SYM
ap-6151	197	57	(	(	PUNCT
ap-6151	197	58	0	0	NUM
ap-6151	197	59	,	,	PUNCT
ap-6151	197	60	0	0	NUM
ap-6151	197	61	,	,	PUNCT
ap-6151	197	62	0	0	NUM
ap-6151	197	63	,	,	PUNCT
ap-6151	197	64	1	1	NUM
ap-6151	197	65	,	,	PUNCT
ap-6151	197	66	2	2	NUM
ap-6151	197	67	,	,	PUNCT
ap-6151	197	68	3	3	NUM
ap-6151	197	69	,	,	PUNCT
ap-6151	197	70	3	3	NUM
ap-6151	197	71	,	,	PUNCT
ap-6151	197	72	3	3	NUM
ap-6151	197	73	)	)	PUNCT
ap-6151	197	74	.	.	PUNCT
ap-6151	198	1	obviously	obviously	ADV
ap-6151	198	2	,	,	PUNCT
ap-6151	198	3	we	we	PRON
ap-6151	198	4	have	have	VERB
ap-6151	198	5	less	less	ADJ
ap-6151	198	6	basis	basis	NOUN
ap-6151	198	7	functions	function	NOUN
ap-6151	198	8	for	for	ADP
ap-6151	198	9	the	the	DET
ap-6151	198	10	same	same	ADJ
ap-6151	198	11	mesh	mesh	NOUN
ap-6151	198	12	in	in	ADP
ap-6151	198	13	isogeometric	isogeometric	ADJ
ap-6151	198	14	analysis	analysis	NOUN
ap-6151	198	15	,	,	PUNCT
ap-6151	198	16	they	they	PRON
ap-6151	198	17	are	be	AUX
ap-6151	198	18	all	all	ADV
ap-6151	198	19	pointwise	pointwise	ADJ
ap-6151	198	20	non	non	ADJ
ap-6151	198	21	-	-	ADJ
ap-6151	198	22	negative	negative	ADJ
ap-6151	198	23	and	and	CCONJ
ap-6151	198	24	generally	generally	ADV
ap-6151	198	25	non	non	ADJ
ap-6151	198	26	-	-	NOUN
ap-6151	198	27	interpolatory	interpolatory	ADJ
ap-6151	198	28	,	,	PUNCT
ap-6151	198	29	i.e.	i.e.	X
ap-6151	198	30	their	their	PRON
ap-6151	198	31	coefficients	coefficient	NOUN
ap-6151	198	32	do	do	AUX
ap-6151	198	33	not	not	PART
ap-6151	198	34	correspond	correspond	VERB
ap-6151	198	35	to	to	ADP
ap-6151	198	36	nodal	nodal	ADJ
ap-6151	198	37	values	value	NOUN
ap-6151	198	38	of	of	ADP
ap-6151	198	39	the	the	DET
ap-6151	198	40	iga	iga	PROPN
ap-6151	198	41	solution	solution	NOUN
ap-6151	198	42	.	.	PUNCT
ap-6151	199	1	moreover	moreover	ADV
ap-6151	199	2	,	,	PUNCT
ap-6151	199	3	their	their	PRON
ap-6151	199	4	values	value	NOUN
ap-6151	199	5	form	form	VERB
ap-6151	199	6	partition	partition	NOUN
ap-6151	199	7	of	of	ADP
ap-6151	199	8	unity	unity	NOUN
ap-6151	199	9	for	for	ADP
ap-6151	199	10	arbitrary	arbitrary	ADJ
ap-6151	199	11	ξ	ξ	PROPN
ap-6151	199	12	∈	∈	PROPN
ap-6151	199	13	(	(	PUNCT
ap-6151	199	14	ξ1	ξ1	NOUN
ap-6151	199	15	,	,	PUNCT
ap-6151	199	16	ξn+k+1	ξn+k+1	NUM
ap-6151	199	17	)	)	PUNCT
ap-6151	199	18	and	and	CCONJ
ap-6151	199	19	the	the	DET
ap-6151	199	20	support	support	NOUN
ap-6151	199	21	of	of	ADP
ap-6151	199	22	most	most	ADJ
ap-6151	199	23	of	of	ADP
ap-6151	199	24	the	the	DET
ap-6151	199	25	b	b	PROPN
ap-6151	199	26	-	-	PUNCT
ap-6151	199	27	spline	spline	NOUN
ap-6151	199	28	basis	basis	NOUN
ap-6151	199	29	functions	function	NOUN
ap-6151	199	30	(	(	PUNCT
ap-6151	199	31	except	except	SCONJ
ap-6151	199	32	the	the	DET
ap-6151	199	33	ones	one	NOUN
ap-6151	199	34	close	close	ADJ
ap-6151	199	35	to	to	ADP
ap-6151	199	36	the	the	DET
ap-6151	199	37	boundary	boundary	NOUN
ap-6151	199	38	)	)	PUNCT
ap-6151	199	39	is	be	AUX
ap-6151	199	40	k+	k+	X
ap-6151	199	41	1	1	NUM
ap-6151	199	42	knot	knot	NOUN
ap-6151	199	43	spans	span	NOUN
ap-6151	199	44	.	.	PUNCT
ap-6151	200	1	both	both	PRON
ap-6151	200	2	fem	fem	NOUN
ap-6151	200	3	and	and	CCONJ
ap-6151	200	4	iga	iga	PROPN
ap-6151	200	5	bases	basis	NOUN
ap-6151	200	6	result	result	VERB
ap-6151	200	7	in	in	ADP
ap-6151	200	8	the	the	DET
ap-6151	200	9	same	same	ADJ
ap-6151	200	10	bandwidth	bandwidth	NOUN
ap-6151	200	11	,	,	PUNCT
ap-6151	200	12	since	since	SCONJ
ap-6151	200	13	the	the	DET
ap-6151	200	14	maximum	maximum	ADJ
ap-6151	200	15	number	number	NOUN
ap-6151	200	16	of	of	ADP
ap-6151	200	17	basis	basis	NOUN
ap-6151	200	18	functions	function	NOUN
ap-6151	200	19	that	that	PRON
ap-6151	200	20	a	a	DET
ap-6151	200	21	given	give	VERB
ap-6151	200	22	basis	basis	NOUN
ap-6151	200	23	function	function	NOUN
ap-6151	200	24	shares	share	NOUN
ap-6151	200	25	support	support	VERB
ap-6151	200	26	with	with	ADP
ap-6151	200	27	(	(	PUNCT
ap-6151	200	28	including	include	VERB
ap-6151	200	29	itself	itself	PRON
ap-6151	200	30	)	)	PUNCT
ap-6151	200	31	is	be	AUX
ap-6151	200	32	2k	2k	NUM
ap-6151	200	33	+	+	CCONJ
ap-6151	200	34	1	1	NUM
ap-6151	200	35	in	in	ADP
ap-6151	200	36	both	both	DET
ap-6151	200	37	cases	case	NOUN
ap-6151	200	38	.	.	PUNCT
ap-6151	201	1	however	however	ADV
ap-6151	201	2	,	,	PUNCT
ap-6151	201	3	the	the	DET
ap-6151	201	4	fem	fem	NOUN
ap-6151	201	5	matrix	matrix	NOUN
ap-6151	201	6	is	be	AUX
ap-6151	201	7	sparser	sparse	ADJ
ap-6151	201	8	since	since	SCONJ
ap-6151	201	9	there	there	PRON
ap-6151	201	10	are	be	VERB
ap-6151	201	11	basis	basis	NOUN
ap-6151	201	12	functions	function	NOUN
ap-6151	201	13	with	with	ADP
ap-6151	201	14	supports	support	NOUN
ap-6151	201	15	containing	contain	VERB
ap-6151	201	16	only	only	ADV
ap-6151	201	17	one	one	NUM
ap-6151	201	18	element	element	NOUN
ap-6151	201	19	,	,	PUNCT
ap-6151	201	20	thus	thus	ADV
ap-6151	201	21	sharing	share	VERB
ap-6151	201	22	support	support	NOUN
ap-6151	201	23	with	with	ADP
ap-6151	201	24	only	only	ADJ
ap-6151	201	25	k+	k+	X
ap-6151	201	26	1	1	NUM
ap-6151	201	27	basis	basis	NOUN
ap-6151	201	28	functions	function	NOUN
ap-6151	201	29	.	.	PUNCT
ap-6151	202	1	from	from	ADP
ap-6151	202	2	the	the	DET
ap-6151	202	3	matrix	matrix	NOUN
ap-6151	202	4	structure	structure	NOUN
ap-6151	202	5	point	point	NOUN
ap-6151	202	6	of	of	ADP
ap-6151	202	7	view	view	NOUN
ap-6151	202	8	,	,	PUNCT
ap-6151	202	9	a	a	DET
ap-6151	202	10	b	b	X
ap-6151	202	11	-	-	PUNCT
ap-6151	202	12	spline	spline	NOUN
ap-6151	202	13	analogue	analogue	NOUN
ap-6151	202	14	of	of	ADP
ap-6151	202	15	the	the	DET
ap-6151	202	16	fem	fem	NOUN
ap-6151	202	17	basis	basis	NOUN
ap-6151	202	18	is	be	AUX
ap-6151	202	19	the	the	DET
ap-6151	202	20	b	b	PROPN
ap-6151	202	21	-	-	PUNCT
ap-6151	202	22	spline	spline	NOUN
ap-6151	202	23	basis	basis	NOUN
ap-6151	202	24	with	with	ADP
ap-6151	202	25	c0	c0	PROPN
ap-6151	202	26	interelement	interelement	PROPN
ap-6151	202	27	continuity	continuity	NOUN
ap-6151	202	28	displayed	display	VERB
ap-6151	202	29	in	in	ADP
ap-6151	202	30	figure	figure	NOUN
ap-6151	202	31	1(c	1(c	NUM
ap-6151	202	32	)	)	PUNCT
ap-6151	202	33	,	,	PUNCT
ap-6151	202	34	which	which	PRON
ap-6151	202	35	is	be	AUX
ap-6151	202	36	obtained	obtain	VERB
ap-6151	202	37	for	for	ADP
ap-6151	202	38	the	the	DET
ap-6151	202	39	knot	knot	NOUN
ap-6151	202	40	vector	vector	NOUN
ap-6151	202	41	ξ	ξ	X
ap-6151	202	42	=	=	SYM
ap-6151	202	43	(	(	PUNCT
ap-6151	202	44	0	0	NUM
ap-6151	202	45	,	,	PUNCT
ap-6151	202	46	0	0	NUM
ap-6151	202	47	,	,	PUNCT
ap-6151	202	48	0	0	NUM
ap-6151	202	49	,	,	PUNCT
ap-6151	202	50	1	1	NUM
ap-6151	202	51	,	,	PUNCT
ap-6151	202	52	1	1	NUM
ap-6151	202	53	,	,	PUNCT
ap-6151	202	54	2	2	NUM
ap-6151	202	55	,	,	PUNCT
ap-6151	202	56	2	2	NUM
ap-6151	202	57	,	,	PUNCT
ap-6151	202	58	3	3	NUM
ap-6151	202	59	,	,	PUNCT
ap-6151	202	60	3	3	NUM
ap-6151	202	61	,	,	PUNCT
ap-6151	202	62	3	3	NUM
ap-6151	202	63	)	)	PUNCT
ap-6151	202	64	.	.	PUNCT
ap-6151	203	1	4	4	X
ap-6151	203	2	.	.	X
ap-6151	203	3	streamline	streamline	VERB
ap-6151	203	4	upwind	upwind	NOUN
ap-6151	203	5	/	/	SYM
ap-6151	203	6	petrov	petrov	PROPN
ap-6151	203	7	-	-	PUNCT
ap-6151	203	8	galerkin	galerkin	PROPN
ap-6151	203	9	(	(	PUNCT
ap-6151	203	10	supg	supg	NOUN
ap-6151	203	11	)	)	PUNCT
ap-6151	203	12	stabilization	stabilization	NOUN
ap-6151	203	13	since	since	SCONJ
ap-6151	203	14	the	the	DET
ap-6151	203	15	isogeometric	isogeometric	ADJ
ap-6151	203	16	analysis	analysis	NOUN
ap-6151	203	17	is	be	AUX
ap-6151	203	18	continuous	continuous	ADJ
ap-6151	203	19	galerkinbased	galerkinbase	VERB
ap-6151	203	20	method	method	NOUN
ap-6151	203	21	,	,	PUNCT
ap-6151	203	22	the	the	DET
ap-6151	203	23	numerical	numerical	ADJ
ap-6151	203	24	solution	solution	NOUN
ap-6151	203	25	of	of	ADP
ap-6151	203	26	convection	convection	NOUN
ap-6151	203	27	dominated	dominate	VERB
ap-6151	203	28	problems	problem	NOUN
ap-6151	203	29	(	(	PUNCT
ap-6151	203	30	for	for	ADP
ap-6151	203	31	high	high	ADJ
ap-6151	203	32	reynolds	reynold	NOUN
ap-6151	203	33	numbers	number	NOUN
ap-6151	203	34	)	)	PUNCT
ap-6151	203	35	is	be	AUX
ap-6151	203	36	usually	usually	ADV
ap-6151	203	37	polluted	pollute	VERB
ap-6151	203	38	by	by	ADP
ap-6151	203	39	spurious	spurious	ADJ
ap-6151	203	40	(	(	PUNCT
ap-6151	203	41	unphysical	unphysical	ADJ
ap-6151	203	42	)	)	PUNCT
ap-6151	203	43	oscillations	oscillation	NOUN
ap-6151	203	44	,	,	PUNCT
ap-6151	203	45	which	which	PRON
ap-6151	203	46	cause	cause	VERB
ap-6151	203	47	a	a	DET
ap-6151	203	48	loss	loss	NOUN
ap-6151	203	49	of	of	ADP
ap-6151	203	50	accuracy	accuracy	NOUN
ap-6151	203	51	and	and	CCONJ
ap-6151	203	52	stability	stability	NOUN
ap-6151	203	53	.	.	PUNCT
ap-6151	204	1	stabilization	stabilization	NOUN
ap-6151	204	2	techniques	technique	NOUN
ap-6151	204	3	are	be	AUX
ap-6151	204	4	investigated	investigate	VERB
ap-6151	204	5	which	which	PRON
ap-6151	204	6	improve	improve	VERB
ap-6151	204	7	the	the	DET
ap-6151	204	8	stability	stability	NOUN
ap-6151	204	9	,	,	PUNCT
ap-6151	204	10	without	without	ADP
ap-6151	204	11	degrading	degrade	VERB
ap-6151	204	12	accuracy	accuracy	NOUN
ap-6151	204	13	.	.	PUNCT
ap-6151	205	1	there	there	PRON
ap-6151	205	2	are	be	VERB
ap-6151	205	3	many	many	ADJ
ap-6151	205	4	linear	linear	ADJ
ap-6151	205	5	and	and	CCONJ
ap-6151	205	6	nonlinear	nonlinear	ADJ
ap-6151	205	7	stabilization	stabilization	NOUN
ap-6151	205	8	techniques	technique	NOUN
ap-6151	205	9	for	for	ADP
ap-6151	205	10	convection	convection	NOUN
ap-6151	205	11	-	-	PUNCT
ap-6151	205	12	dominated	dominate	VERB
ap-6151	205	13	problems	problem	NOUN
ap-6151	205	14	.	.	PUNCT
ap-6151	206	1	their	their	PRON
ap-6151	206	2	overview	overview	NOUN
ap-6151	206	3	can	can	AUX
ap-6151	206	4	be	be	AUX
ap-6151	206	5	found	find	VERB
ap-6151	206	6	,	,	PUNCT
ap-6151	206	7	e.g.	e.g.	ADV
ap-6151	206	8	,	,	PUNCT
ap-6151	206	9	in	in	ADP
ap-6151	206	10	[	[	X
ap-6151	206	11	47	47	NUM
ap-6151	206	12	]	]	PUNCT
ap-6151	206	13	.	.	PUNCT
ap-6151	207	1	in	in	ADP
ap-6151	207	2	our	our	PRON
ap-6151	207	3	case	case	NOUN
ap-6151	207	4	,	,	PUNCT
ap-6151	207	5	we	we	PRON
ap-6151	207	6	focused	focus	VERB
ap-6151	207	7	only	only	ADV
ap-6151	207	8	on	on	ADP
ap-6151	207	9	the	the	DET
ap-6151	207	10	supg	supg	NOUN
ap-6151	207	11	method	method	NOUN
ap-6151	207	12	.	.	PUNCT
ap-6151	208	1	the	the	DET
ap-6151	208	2	supg	supg	PROPN
ap-6151	208	3	method	method	NOUN
ap-6151	208	4	proposed	propose	VERB
ap-6151	208	5	in	in	ADP
ap-6151	208	6	[	[	X
ap-6151	208	7	48	48	NUM
ap-6151	208	8	]	]	PUNCT
ap-6151	208	9	has	have	AUX
ap-6151	208	10	become	become	VERB
ap-6151	208	11	the	the	DET
ap-6151	208	12	most	most	ADV
ap-6151	208	13	popular	popular	ADJ
ap-6151	208	14	stabilization	stabilization	NOUN
ap-6151	208	15	method	method	NOUN
ap-6151	208	16	.	.	PUNCT
ap-6151	209	1	the	the	DET
ap-6151	209	2	weighted	weight	VERB
ap-6151	209	3	element	element	NOUN
ap-6151	209	4	residual	residual	ADJ
ap-6151	209	5	is	be	AUX
ap-6151	209	6	added	add	VERB
ap-6151	209	7	to	to	ADP
ap-6151	209	8	the	the	DET
ap-6151	209	9	galerkin	galerkin	ADJ
ap-6151	209	10	problem	problem	NOUN
ap-6151	209	11	(	(	PUNCT
ap-6151	209	12	5	5	NUM
ap-6151	209	13	)	)	PUNCT
ap-6151	209	14	,	,	PUNCT
ap-6151	210	1	i.e.	i.e.	X
ap-6151	210	2	,	,	PUNCT
ap-6151	210	3	nel∑	nel∑	ADJ
ap-6151	210	4	ie=1	ie=1	PROPN
ap-6151	210	5	∫	∫	PROPN
ap-6151	210	6	qie	qie	X
ap-6151	210	7	τsr(uh)uh	τsr(uh)uh	PUNCT
ap-6151	210	8	·	·	PUNCT
ap-6151	210	9	∇vh	∇vh	NOUN
ap-6151	210	10	,	,	PUNCT
ap-6151	210	11	(	(	PUNCT
ap-6151	210	12	16	16	NUM
ap-6151	210	13	)	)	PUNCT
ap-6151	210	14	37	37	NUM
ap-6151	210	15	b.	b.	PROPN
ap-6151	210	16	bastl	bastl	PROPN
ap-6151	210	17	,	,	PUNCT
ap-6151	210	18	m.	m.	NOUN
ap-6151	210	19	brandner	brandner	NOUN
ap-6151	210	20	,	,	PUNCT
ap-6151	210	21	j.	j.	PROPN
ap-6151	210	22	egermaier	egermaier	PROPN
ap-6151	210	23	et	et	PROPN
ap-6151	210	24	al	al	PROPN
ap-6151	210	25	.	.	PROPN
ap-6151	211	1	acta	acta	PROPN
ap-6151	211	2	polytechnica	polytechnica	PROPN
ap-6151	211	3	where	where	SCONJ
ap-6151	211	4	r(uh	r(uh	VERB
ap-6151	211	5	)	)	PUNCT
ap-6151	211	6	=	=	PUNCT
ap-6151	211	7	uh	uh	INTJ
ap-6151	211	8	·	·	PUNCT
ap-6151	211	9	∇uh	∇uh	NOUN
ap-6151	211	10	−	−	NOUN
ap-6151	211	11	ν∆uh	ν∆uh	NOUN
ap-6151	211	12	+	+	PROPN
ap-6151	211	13	∇ph	∇ph	PROPN
ap-6151	211	14	(	(	PUNCT
ap-6151	211	15	17	17	NUM
ap-6151	211	16	)	)	PUNCT
ap-6151	211	17	is	be	AUX
ap-6151	211	18	the	the	DET
ap-6151	211	19	element	element	NOUN
ap-6151	211	20	residual	residual	NOUN
ap-6151	211	21	,	,	PUNCT
ap-6151	211	22	nel	nel	PROPN
ap-6151	211	23	is	be	AUX
ap-6151	211	24	the	the	DET
ap-6151	211	25	number	number	NOUN
ap-6151	211	26	of	of	ADP
ap-6151	211	27	elements	element	NOUN
ap-6151	211	28	qie	qie	X
ap-6151	211	29	,	,	PUNCT
ap-6151	211	30	and	and	CCONJ
ap-6151	211	31	τs	τs	X
ap-6151	211	32	is	be	AUX
ap-6151	211	33	a	a	DET
ap-6151	211	34	non	non	ADJ
ap-6151	211	35	-	-	ADJ
ap-6151	211	36	negative	negative	ADJ
ap-6151	211	37	supg	supg	NOUN
ap-6151	211	38	stabilization	stabilization	NOUN
ap-6151	211	39	parameter	parameter	NOUN
ap-6151	211	40	(	(	PUNCT
ap-6151	211	41	cf	cf	NOUN
ap-6151	211	42	.	.	PUNCT
ap-6151	212	1	e.g.	e.g.	ADV
ap-6151	212	2	[	[	X
ap-6151	212	3	49	49	NUM
ap-6151	212	4	,	,	PUNCT
ap-6151	212	5	50	50	NUM
ap-6151	212	6	]	]	PUNCT
ap-6151	212	7	)	)	PUNCT
ap-6151	212	8	τs	τs	X
ap-6151	212	9	=	=	SYM
ap-6151	212	10	(	(	PUNCT
ap-6151	212	11	(	(	PUNCT
ap-6151	212	12	2	2	NUM
ap-6151	212	13	deg(uh	deg(uh	NOUN
ap-6151	212	14	)	)	PUNCT
ap-6151	212	15	‖uh‖	‖uh‖	NOUN
ap-6151	212	16	h	h	NOUN
ap-6151	212	17	)	)	PUNCT
ap-6151	212	18	2	2	NUM
ap-6151	212	19	+	+	CCONJ
ap-6151	212	20	9	9	NUM
ap-6151	212	21	(	(	PUNCT
ap-6151	212	22	4ν	4ν	NUM
ap-6151	212	23	h2	h2	NOUN
ap-6151	212	24	)	)	PUNCT
ap-6151	212	25	2	2	NUM
ap-6151	212	26	)	)	PUNCT
ap-6151	212	27	−	−	PROPN
ap-6151	212	28	1	1	NUM
ap-6151	212	29	2	2	NUM
ap-6151	212	30	,	,	PUNCT
ap-6151	212	31	(	(	PUNCT
ap-6151	212	32	18	18	NUM
ap-6151	212	33	)	)	PUNCT
ap-6151	212	34	where	where	SCONJ
ap-6151	212	35	deg(uh	deg(uh	NOUN
ap-6151	212	36	)	)	PUNCT
ap-6151	212	37	is	be	AUX
ap-6151	212	38	the	the	DET
ap-6151	212	39	degree	degree	NOUN
ap-6151	212	40	of	of	ADP
ap-6151	212	41	the	the	DET
ap-6151	212	42	velocity	velocity	NOUN
ap-6151	212	43	basis	basis	NOUN
ap-6151	212	44	functions	function	NOUN
ap-6151	212	45	and	and	CCONJ
ap-6151	212	46	h	h	NOUN
ap-6151	212	47	is	be	AUX
ap-6151	212	48	the	the	DET
ap-6151	212	49	characteristic	characteristic	ADJ
ap-6151	212	50	size	size	NOUN
ap-6151	212	51	of	of	ADP
ap-6151	212	52	the	the	DET
ap-6151	212	53	element	element	NOUN
ap-6151	212	54	.	.	PUNCT
ap-6151	213	1	alternatives	alternative	NOUN
ap-6151	213	2	to	to	ADP
ap-6151	213	3	the	the	DET
ap-6151	213	4	stabilization	stabilization	NOUN
ap-6151	213	5	parameter	parameter	NOUN
ap-6151	213	6	τs	τ	NOUN
ap-6151	213	7	are	be	AUX
ap-6151	213	8	discussed	discuss	VERB
ap-6151	213	9	e.g.	e.g.	ADV
ap-6151	213	10	in	in	ADP
ap-6151	213	11	[	[	X
ap-6151	213	12	51	51	NUM
ap-6151	213	13	]	]	PUNCT
ap-6151	213	14	.	.	PUNCT
ap-6151	214	1	note	note	VERB
ap-6151	214	2	that	that	SCONJ
ap-6151	214	3	the	the	DET
ap-6151	214	4	second	second	ADJ
ap-6151	214	5	derivatives	derivative	NOUN
ap-6151	214	6	are	be	AUX
ap-6151	214	7	not	not	PART
ap-6151	214	8	zero	zero	NUM
ap-6151	214	9	in	in	ADP
ap-6151	214	10	the	the	DET
ap-6151	214	11	interior	interior	NOUN
ap-6151	214	12	of	of	ADP
ap-6151	214	13	the	the	DET
ap-6151	214	14	elements	element	NOUN
ap-6151	214	15	if	if	SCONJ
ap-6151	214	16	higher	high	ADJ
ap-6151	214	17	order	order	NOUN
ap-6151	214	18	b	b	X
ap-6151	214	19	-	-	PUNCT
ap-6151	214	20	spline	spline	NOUN
ap-6151	214	21	basis	basis	NOUN
ap-6151	214	22	functions	function	NOUN
ap-6151	214	23	are	be	AUX
ap-6151	214	24	used	use	VERB
ap-6151	214	25	.	.	PUNCT
ap-6151	215	1	5	5	X
ap-6151	215	2	.	.	X
ap-6151	215	3	lid	lid	NOUN
ap-6151	215	4	-	-	PUNCT
ap-6151	215	5	driven	drive	VERB
ap-6151	215	6	cavity	cavity	NOUN
ap-6151	215	7	flow	flow	NOUN
ap-6151	215	8	in	in	ADP
ap-6151	215	9	this	this	DET
ap-6151	215	10	section	section	NOUN
ap-6151	215	11	,	,	PUNCT
ap-6151	215	12	we	we	PRON
ap-6151	215	13	introduce	introduce	VERB
ap-6151	215	14	the	the	DET
ap-6151	215	15	standard	standard	ADJ
ap-6151	215	16	benchmark	benchmark	NOUN
ap-6151	215	17	problem	problem	NOUN
ap-6151	215	18	for	for	ADP
ap-6151	215	19	incompressible	incompressible	ADJ
ap-6151	215	20	fluid	fluid	ADJ
ap-6151	215	21	flow	flow	NOUN
ap-6151	215	22	simulation	simulation	NOUN
ap-6151	215	23	–	–	PUNCT
ap-6151	215	24	liddriven	liddriven	VERB
ap-6151	215	25	cavity	cavity	NOUN
ap-6151	215	26	flow	flow	NOUN
ap-6151	215	27	–	–	PUNCT
ap-6151	215	28	for	for	ADP
ap-6151	215	29	which	which	PRON
ap-6151	215	30	we	we	PRON
ap-6151	215	31	present	present	VERB
ap-6151	215	32	the	the	DET
ap-6151	215	33	results	result	NOUN
ap-6151	215	34	of	of	ADP
ap-6151	215	35	our	our	PRON
ap-6151	215	36	numerical	numerical	ADJ
ap-6151	215	37	experiments	experiment	NOUN
ap-6151	215	38	in	in	ADP
ap-6151	215	39	section	section	NOUN
ap-6151	215	40	6	6	NUM
ap-6151	215	41	.	.	PUNCT
ap-6151	216	1	one	one	NUM
ap-6151	216	2	of	of	ADP
ap-6151	216	3	the	the	DET
ap-6151	216	4	reasons	reason	NOUN
ap-6151	216	5	for	for	ADP
ap-6151	216	6	this	this	DET
ap-6151	216	7	choice	choice	NOUN
ap-6151	216	8	is	be	AUX
ap-6151	216	9	a	a	DET
ap-6151	216	10	wide	wide	ADJ
ap-6151	216	11	range	range	NOUN
ap-6151	216	12	of	of	ADP
ap-6151	216	13	comparative	comparative	ADJ
ap-6151	216	14	data	datum	NOUN
ap-6151	216	15	available	available	ADJ
ap-6151	216	16	in	in	ADP
ap-6151	216	17	the	the	DET
ap-6151	216	18	literature	literature	NOUN
ap-6151	216	19	.	.	PUNCT
ap-6151	217	1	a	a	DET
ap-6151	217	2	thorough	thorough	ADJ
ap-6151	217	3	overview	overview	NOUN
ap-6151	217	4	of	of	ADP
ap-6151	217	5	results	result	NOUN
ap-6151	217	6	for	for	ADP
ap-6151	217	7	lid	lid	NOUN
ap-6151	217	8	-	-	PUNCT
ap-6151	217	9	driven	drive	VERB
ap-6151	217	10	cavity	cavity	NOUN
ap-6151	217	11	flow	flow	NOUN
ap-6151	217	12	is	be	AUX
ap-6151	217	13	done	do	VERB
ap-6151	217	14	in	in	ADP
ap-6151	217	15	[	[	X
ap-6151	217	16	39	39	NUM
ap-6151	217	17	]	]	PUNCT
ap-6151	217	18	.	.	PUNCT
ap-6151	218	1	the	the	DET
ap-6151	218	2	authors	author	NOUN
ap-6151	218	3	summarize	summarize	VERB
ap-6151	218	4	the	the	DET
ap-6151	218	5	papers	paper	NOUN
ap-6151	218	6	dealing	deal	VERB
ap-6151	218	7	with	with	ADP
ap-6151	218	8	this	this	DET
ap-6151	218	9	problem	problem	NOUN
ap-6151	218	10	starting	start	VERB
ap-6151	218	11	from	from	ADP
ap-6151	218	12	1966	1966	NUM
ap-6151	218	13	up	up	ADP
ap-6151	218	14	to	to	ADP
ap-6151	218	15	the	the	DET
ap-6151	218	16	most	most	ADV
ap-6151	218	17	recent	recent	ADJ
ap-6151	218	18	results	result	NOUN
ap-6151	218	19	in	in	ADP
ap-6151	218	20	2014	2014	NUM
ap-6151	218	21	.	.	PUNCT
ap-6151	219	1	for	for	ADP
ap-6151	219	2	comparisons	comparison	NOUN
ap-6151	219	3	,	,	PUNCT
ap-6151	219	4	the	the	DET
ap-6151	219	5	results	result	NOUN
ap-6151	219	6	presented	present	VERB
ap-6151	219	7	in	in	ADP
ap-6151	219	8	[	[	X
ap-6151	219	9	52	52	NUM
ap-6151	219	10	]	]	PUNCT
ap-6151	219	11	are	be	AUX
ap-6151	219	12	frequently	frequently	ADV
ap-6151	219	13	used	use	VERB
ap-6151	219	14	,	,	PUNCT
ap-6151	219	15	where	where	SCONJ
ap-6151	219	16	the	the	DET
ap-6151	219	17	authors	author	NOUN
ap-6151	219	18	used	use	VERB
ap-6151	219	19	fdm	fdm	NOUN
ap-6151	219	20	and	and	CCONJ
ap-6151	219	21	solved	solve	VERB
ap-6151	219	22	the	the	DET
ap-6151	219	23	problem	problem	NOUN
ap-6151	219	24	for	for	ADP
ap-6151	219	25	reynolds	reynold	NOUN
ap-6151	219	26	numbers	number	NOUN
ap-6151	219	27	up	up	ADV
ap-6151	219	28	to	to	ADP
ap-6151	219	29	10000	10000	NUM
ap-6151	219	30	.	.	PUNCT
ap-6151	220	1	other	other	ADJ
ap-6151	220	2	papers	paper	NOUN
ap-6151	220	3	,	,	PUNCT
ap-6151	220	4	which	which	PRON
ap-6151	220	5	are	be	AUX
ap-6151	220	6	usually	usually	ADV
ap-6151	220	7	used	use	VERB
ap-6151	220	8	for	for	ADP
ap-6151	220	9	comparisons	comparison	NOUN
ap-6151	220	10	are	be	AUX
ap-6151	220	11	e.g.	e.g.	ADV
ap-6151	220	12	[	[	X
ap-6151	220	13	53	53	NUM
ap-6151	220	14	,	,	PUNCT
ap-6151	220	15	54	54	NUM
ap-6151	220	16	]	]	PUNCT
ap-6151	220	17	.	.	PUNCT
ap-6151	221	1	for	for	ADP
ap-6151	221	2	comparison	comparison	NOUN
ap-6151	221	3	with	with	ADP
ap-6151	221	4	our	our	PRON
ap-6151	221	5	results	result	NOUN
ap-6151	221	6	we	we	PRON
ap-6151	221	7	chose	choose	VERB
ap-6151	221	8	two	two	NUM
ap-6151	221	9	references	reference	NOUN
ap-6151	221	10	.	.	PUNCT
ap-6151	222	1	the	the	DET
ap-6151	222	2	first	first	ADJ
ap-6151	222	3	one	one	NUM
ap-6151	222	4	is	be	AUX
ap-6151	222	5	the	the	DET
ap-6151	222	6	above	above	ADJ
ap-6151	222	7	mentioned	mention	VERB
ap-6151	222	8	recent	recent	ADJ
ap-6151	222	9	paper	paper	NOUN
ap-6151	222	10	[	[	X
ap-6151	222	11	39	39	NUM
ap-6151	222	12	]	]	PUNCT
ap-6151	222	13	,	,	PUNCT
ap-6151	222	14	where	where	SCONJ
ap-6151	222	15	the	the	DET
ap-6151	222	16	authors	author	NOUN
ap-6151	222	17	solve	solve	VERB
ap-6151	222	18	lid	lid	NOUN
ap-6151	222	19	-	-	PUNCT
ap-6151	222	20	driven	drive	VERB
ap-6151	222	21	cavity	cavity	NOUN
ap-6151	222	22	flow	flow	NOUN
ap-6151	222	23	by	by	ADP
ap-6151	222	24	fvm	fvm	NOUN
ap-6151	222	25	for	for	ADP
ap-6151	222	26	reynolds	reynold	NOUN
ap-6151	222	27	numbers	number	NOUN
ap-6151	222	28	up	up	ADP
ap-6151	222	29	to	to	ADP
ap-6151	222	30	5000	5000	NUM
ap-6151	222	31	.	.	PUNCT
ap-6151	223	1	the	the	DET
ap-6151	223	2	results	result	NOUN
ap-6151	223	3	can	can	AUX
ap-6151	223	4	be	be	AUX
ap-6151	223	5	considered	consider	VERB
ap-6151	223	6	as	as	ADP
ap-6151	223	7	very	very	ADV
ap-6151	223	8	accurate	accurate	ADJ
ap-6151	223	9	because	because	SCONJ
ap-6151	223	10	a	a	DET
ap-6151	223	11	very	very	ADV
ap-6151	223	12	fine	fine	ADJ
ap-6151	223	13	mesh	mesh	NOUN
ap-6151	223	14	with	with	ADP
ap-6151	223	15	1301×1301	1301×1301	NUM
ap-6151	223	16	grid	grid	NOUN
ap-6151	223	17	points	point	NOUN
ap-6151	223	18	for	for	ADP
ap-6151	223	19	the	the	DET
ap-6151	223	20	case	case	NOUN
ap-6151	223	21	of	of	ADP
ap-6151	223	22	reynolds	reynolds	PROPN
ap-6151	223	23	number	number	NOUN
ap-6151	223	24	equal	equal	ADJ
ap-6151	223	25	to	to	ADP
ap-6151	223	26	5000	5000	NUM
ap-6151	223	27	was	be	AUX
ap-6151	223	28	used	use	VERB
ap-6151	223	29	(	(	PUNCT
ap-6151	223	30	compare	compare	VERB
ap-6151	223	31	with	with	ADP
ap-6151	223	32	[	[	X
ap-6151	223	33	52	52	NUM
ap-6151	223	34	]	]	PUNCT
ap-6151	223	35	,	,	PUNCT
ap-6151	223	36	where	where	SCONJ
ap-6151	223	37	fdm	fdm	NOUN
ap-6151	223	38	with	with	ADP
ap-6151	223	39	257×	257×	PROPN
ap-6151	223	40	257	257	NUM
ap-6151	223	41	grid	grid	NOUN
ap-6151	223	42	points	point	NOUN
ap-6151	223	43	was	be	AUX
ap-6151	223	44	used	use	VERB
ap-6151	223	45	)	)	PUNCT
ap-6151	223	46	.	.	PUNCT
ap-6151	224	1	the	the	DET
ap-6151	224	2	results	result	NOUN
ap-6151	224	3	presented	present	VERB
ap-6151	224	4	in	in	ADP
ap-6151	224	5	[	[	X
ap-6151	224	6	55	55	NUM
ap-6151	224	7	]	]	PUNCT
ap-6151	224	8	is	be	AUX
ap-6151	224	9	another	another	DET
ap-6151	224	10	source	source	NOUN
ap-6151	224	11	to	to	PART
ap-6151	224	12	which	which	PRON
ap-6151	224	13	we	we	PRON
ap-6151	224	14	compare	compare	VERB
ap-6151	224	15	our	our	PRON
ap-6151	224	16	data	datum	NOUN
ap-6151	224	17	.	.	PUNCT
ap-6151	225	1	to	to	ADP
ap-6151	225	2	the	the	DET
ap-6151	225	3	best	good	ADJ
ap-6151	225	4	of	of	ADP
ap-6151	225	5	our	our	PRON
ap-6151	225	6	knowledge	knowledge	NOUN
ap-6151	225	7	,	,	PUNCT
ap-6151	225	8	these	these	DET
ap-6151	225	9	results	result	NOUN
ap-6151	225	10	are	be	AUX
ap-6151	225	11	unpublished	unpublished	ADJ
ap-6151	225	12	in	in	ADP
ap-6151	225	13	a	a	DET
ap-6151	225	14	journal	journal	NOUN
ap-6151	225	15	.	.	PUNCT
ap-6151	226	1	here	here	ADV
ap-6151	226	2	,	,	PUNCT
ap-6151	226	3	the	the	DET
ap-6151	226	4	author	author	NOUN
ap-6151	226	5	uses	use	VERB
ap-6151	226	6	fdm	fdm	NOUN
ap-6151	226	7	to	to	PART
ap-6151	226	8	solve	solve	VERB
ap-6151	226	9	the	the	DET
ap-6151	226	10	problem	problem	NOUN
ap-6151	226	11	on	on	ADP
ap-6151	226	12	several	several	ADJ
ap-6151	226	13	very	very	ADV
ap-6151	226	14	fine	fine	ADJ
ap-6151	226	15	graded	grade	VERB
ap-6151	226	16	grids	grid	NOUN
ap-6151	226	17	ranging	range	VERB
ap-6151	226	18	from	from	ADP
ap-6151	226	19	1201×1201	1201×1201	NUM
ap-6151	226	20	to	to	ADP
ap-6151	226	21	1661×	1661×	NUM
ap-6151	226	22	1661	1661	NUM
ap-6151	226	23	grid	grid	NOUN
ap-6151	226	24	points	point	NOUN
ap-6151	226	25	.	.	PUNCT
ap-6151	227	1	then	then	ADV
ap-6151	227	2	,	,	PUNCT
ap-6151	227	3	richardson	richardson	PROPN
ap-6151	227	4	extrapolation	extrapolation	NOUN
ap-6151	227	5	is	be	AUX
ap-6151	227	6	used	use	VERB
ap-6151	227	7	for	for	ADP
ap-6151	227	8	improving	improve	VERB
ap-6151	227	9	the	the	DET
ap-6151	227	10	solutions	solution	NOUN
ap-6151	227	11	’	'	PUNCT
ap-6151	227	12	accuracy	accuracy	NOUN
ap-6151	227	13	and	and	CCONJ
ap-6151	227	14	the	the	DET
ap-6151	227	15	extrapolated	extrapolate	VERB
ap-6151	227	16	result	result	NOUN
ap-6151	227	17	is	be	AUX
ap-6151	227	18	projected	project	VERB
ap-6151	227	19	onto	onto	ADP
ap-6151	227	20	the	the	DET
ap-6151	227	21	grid	grid	NOUN
ap-6151	227	22	of	of	ADP
ap-6151	227	23	1201×	1201×	NUM
ap-6151	227	24	1201	1201	NUM
ap-6151	227	25	points	point	NOUN
ap-6151	227	26	.	.	PUNCT
ap-6151	228	1	comparing	compare	VERB
ap-6151	228	2	these	these	DET
ap-6151	228	3	results	result	NOUN
ap-6151	228	4	with	with	ADP
ap-6151	228	5	[	[	X
ap-6151	228	6	39	39	NUM
ap-6151	228	7	]	]	PUNCT
ap-6151	228	8	,	,	PUNCT
ap-6151	228	9	they	they	PRON
ap-6151	228	10	are	be	AUX
ap-6151	228	11	also	also	ADV
ap-6151	228	12	considered	consider	VERB
ap-6151	228	13	as	as	ADP
ap-6151	228	14	very	very	ADV
ap-6151	228	15	accurate	accurate	ADJ
ap-6151	228	16	.	.	PUNCT
ap-6151	229	1	figure	figure	NOUN
ap-6151	229	2	2	2	NUM
ap-6151	229	3	shows	show	VERB
ap-6151	229	4	the	the	DET
ap-6151	229	5	comparison	comparison	NOUN
ap-6151	229	6	of	of	ADP
ap-6151	229	7	the	the	DET
ap-6151	229	8	results	result	NOUN
ap-6151	229	9	presented	present	VERB
ap-6151	229	10	in	in	ADP
ap-6151	229	11	[	[	X
ap-6151	229	12	39	39	NUM
ap-6151	229	13	]	]	PUNCT
ap-6151	229	14	and	and	CCONJ
ap-6151	229	15	[	[	X
ap-6151	229	16	55	55	NUM
ap-6151	229	17	]	]	PUNCT
ap-6151	229	18	where	where	SCONJ
ap-6151	229	19	uxand	uxand	ADJ
ap-6151	229	20	uy	uy	NOUN
ap-6151	229	21	-	-	PUNCT
ap-6151	229	22	velocity	velocity	NOUN
ap-6151	229	23	profiles	profile	NOUN
ap-6151	229	24	along	along	ADP
ap-6151	229	25	vertical	vertical	ADJ
ap-6151	229	26	/	/	SYM
ap-6151	229	27	horizontal	horizontal	ADJ
ap-6151	229	28	lines	line	NOUN
ap-6151	229	29	through	through	ADP
ap-6151	229	30	the	the	DET
ap-6151	229	31	geometric	geometric	ADJ
ap-6151	229	32	center	center	NOUN
ap-6151	229	33	of	of	ADP
ap-6151	229	34	the	the	DET
ap-6151	229	35	cavity	cavity	NOUN
ap-6151	229	36	are	be	AUX
ap-6151	229	37	compared	compare	VERB
ap-6151	229	38	.	.	PUNCT
ap-6151	230	1	the	the	DET
ap-6151	230	2	reason	reason	NOUN
ap-6151	230	3	why	why	SCONJ
ap-6151	230	4	we	we	PRON
ap-6151	230	5	use	use	VERB
ap-6151	230	6	also	also	ADV
ap-6151	230	7	reference	reference	VERB
ap-6151	230	8	[	[	X
ap-6151	230	9	55	55	NUM
ap-6151	230	10	]	]	PUNCT
ap-6151	230	11	is	be	AUX
ap-6151	230	12	that	that	SCONJ
ap-6151	230	13	other	other	ADJ
ap-6151	230	14	available	available	ADJ
ap-6151	230	15	sources	source	NOUN
ap-6151	230	16	usually	usually	ADV
ap-6151	230	17	present	present	VERB
ap-6151	230	18	velocity	velocity	NOUN
ap-6151	230	19	profiles	profile	NOUN
ap-6151	230	20	only	only	ADV
ap-6151	230	21	in	in	ADP
ap-6151	230	22	the	the	DET
ap-6151	230	23	above	above	ADJ
ap-6151	230	24	mentioned	mention	VERB
ap-6151	230	25	two	two	NUM
ap-6151	230	26	cross	cros	NOUN
ap-6151	230	27	-	-	NOUN
ap-6151	230	28	sections	section	NOUN
ap-6151	230	29	through	through	ADP
ap-6151	230	30	the	the	DET
ap-6151	230	31	computational	computational	ADJ
ap-6151	230	32	domain	domain	NOUN
ap-6151	230	33	–	–	PUNCT
ap-6151	230	34	ux	ux	ADJ
ap-6151	230	35	-	-	PUNCT
ap-6151	230	36	velocity	velocity	NOUN
ap-6151	230	37	profiles	profile	NOUN
ap-6151	230	38	along	along	ADP
ap-6151	230	39	a	a	DET
ap-6151	230	40	vertical	vertical	ADJ
ap-6151	230	41	line	line	NOUN
ap-6151	230	42	through	through	ADP
ap-6151	230	43	the	the	DET
ap-6151	230	44	geometric	geometric	ADJ
ap-6151	230	45	center	center	NOUN
ap-6151	230	46	of	of	ADP
ap-6151	230	47	the	the	DET
ap-6151	230	48	cavity	cavity	NOUN
ap-6151	230	49	and	and	CCONJ
ap-6151	230	50	uy	uy	NOUN
ap-6151	230	51	-	-	PUNCT
ap-6151	230	52	velocity	velocity	NOUN
ap-6151	230	53	profiles	profile	NOUN
ap-6151	230	54	along	along	ADP
ap-6151	230	55	a	a	DET
ap-6151	230	56	horizontal	horizontal	ADJ
ap-6151	230	57	line	line	NOUN
ap-6151	230	58	through	through	ADP
ap-6151	230	59	the	the	DET
ap-6151	230	60	geometric	geometric	ADJ
ap-6151	230	61	center	center	NOUN
ap-6151	230	62	of	of	ADP
ap-6151	230	63	the	the	DET
ap-6151	230	64	cavity	cavity	NOUN
ap-6151	230	65	.	.	PUNCT
ap-6151	231	1	however	however	ADV
ap-6151	231	2	,	,	PUNCT
ap-6151	231	3	[	[	X
ap-6151	231	4	55	55	NUM
ap-6151	231	5	]	]	PUNCT
ap-6151	231	6	presents	present	VERB
ap-6151	231	7	velocity	velocity	NOUN
ap-6151	231	8	profiles	profile	NOUN
ap-6151	231	9	also	also	ADV
ap-6151	231	10	for	for	ADP
ap-6151	231	11	some	some	DET
ap-6151	231	12	other	other	ADJ
ap-6151	231	13	horizontal	horizontal	ADJ
ap-6151	231	14	and	and	CCONJ
ap-6151	231	15	vertical	vertical	ADJ
ap-6151	231	16	cross	cross	NOUN
ap-6151	231	17	-	-	NOUN
ap-6151	231	18	sections	section	NOUN
ap-6151	231	19	through	through	ADP
ap-6151	231	20	the	the	DET
ap-6151	231	21	computational	computational	ADJ
ap-6151	231	22	domain	domain	NOUN
ap-6151	231	23	,	,	PUNCT
ap-6151	231	24	which	which	PRON
ap-6151	231	25	we	we	PRON
ap-6151	231	26	will	will	AUX
ap-6151	231	27	also	also	ADV
ap-6151	231	28	use	use	VERB
ap-6151	231	29	for	for	ADP
ap-6151	231	30	the	the	DET
ap-6151	231	31	presentation	presentation	NOUN
ap-6151	231	32	of	of	ADP
ap-6151	231	33	our	our	PRON
ap-6151	231	34	results	result	NOUN
ap-6151	231	35	and	and	CCONJ
ap-6151	231	36	for	for	ADP
ap-6151	231	37	comparison	comparison	NOUN
ap-6151	231	38	in	in	ADP
ap-6151	231	39	section	section	NOUN
ap-6151	231	40	6	6	NUM
ap-6151	231	41	.	.	PUNCT
ap-6151	232	1	the	the	DET
ap-6151	232	2	problem	problem	NOUN
ap-6151	232	3	description	description	NOUN
ap-6151	232	4	is	be	AUX
ap-6151	232	5	shown	show	VERB
ap-6151	232	6	in	in	ADP
ap-6151	232	7	figure	figure	NOUN
ap-6151	232	8	3	3	NUM
ap-6151	232	9	.	.	PUNCT
ap-6151	232	10	liddriven	liddriven	VERB
ap-6151	232	11	cavity	cavity	NOUN
ap-6151	232	12	flow	flow	NOUN
ap-6151	232	13	represents	represent	VERB
ap-6151	232	14	a	a	DET
ap-6151	232	15	flow	flow	NOUN
ap-6151	232	16	inside	inside	ADP
ap-6151	232	17	a	a	DET
ap-6151	232	18	square	square	ADJ
ap-6151	232	19	container	container	NOUN
ap-6151	232	20	which	which	PRON
ap-6151	232	21	is	be	AUX
ap-6151	232	22	covered	cover	VERB
ap-6151	232	23	by	by	ADP
ap-6151	232	24	a	a	DET
ap-6151	232	25	lid	lid	NOUN
ap-6151	232	26	that	that	PRON
ap-6151	232	27	slides	slide	VERB
ap-6151	232	28	sideways	sideways	ADV
ap-6151	232	29	.	.	PUNCT
ap-6151	233	1	from	from	ADP
ap-6151	233	2	the	the	DET
ap-6151	233	3	existing	exist	VERB
ap-6151	233	4	literature	literature	NOUN
ap-6151	233	5	,	,	PUNCT
ap-6151	233	6	it	it	PRON
ap-6151	233	7	is	be	AUX
ap-6151	233	8	commonly	commonly	ADV
ap-6151	233	9	accepted	accept	VERB
ap-6151	233	10	that	that	SCONJ
ap-6151	233	11	there	there	PRON
ap-6151	233	12	exists	exist	VERB
ap-6151	233	13	a	a	DET
ap-6151	233	14	steady	steady	ADJ
ap-6151	233	15	solution	solution	NOUN
ap-6151	233	16	of	of	ADP
ap-6151	233	17	the	the	DET
ap-6151	233	18	problem	problem	NOUN
ap-6151	233	19	for	for	ADP
ap-6151	233	20	reynolds	reynold	NOUN
ap-6151	233	21	numbers	number	NOUN
ap-6151	233	22	up	up	ADP
ap-6151	233	23	to	to	ADP
ap-6151	233	24	8000	8000	NUM
ap-6151	233	25	(	(	PUNCT
ap-6151	233	26	in	in	ADP
ap-6151	233	27	2d	2d	NOUN
ap-6151	233	28	,	,	PUNCT
ap-6151	233	29	see	see	VERB
ap-6151	234	1	e.g.	e.g.	ADV
ap-6151	234	2	[	[	X
ap-6151	234	3	56	56	NUM
ap-6151	234	4	,	,	PUNCT
ap-6151	234	5	57	57	NUM
ap-6151	234	6	]	]	PUNCT
ap-6151	234	7	)	)	PUNCT
ap-6151	234	8	.	.	PUNCT
ap-6151	235	1	in	in	ADP
ap-6151	235	2	our	our	PRON
ap-6151	235	3	study	study	NOUN
ap-6151	235	4	presented	present	VERB
ap-6151	235	5	in	in	ADP
ap-6151	235	6	this	this	DET
ap-6151	235	7	paper	paper	NOUN
ap-6151	235	8	,	,	PUNCT
ap-6151	235	9	we	we	PRON
ap-6151	235	10	use	use	VERB
ap-6151	235	11	the	the	DET
ap-6151	235	12	kinematic	kinematic	ADJ
ap-6151	235	13	viscosity	viscosity	NOUN
ap-6151	235	14	ν	ν	NOUN
ap-6151	235	15	=	=	SYM
ap-6151	235	16	0.0002	0.0002	NUM
ap-6151	235	17	which	which	PRON
ap-6151	235	18	implies	imply	VERB
ap-6151	235	19	reynolds	reynolds	PROPN
ap-6151	235	20	number	number	NOUN
ap-6151	235	21	equal	equal	ADJ
ap-6151	235	22	to	to	ADP
ap-6151	235	23	5000	5000	NUM
ap-6151	235	24	.	.	PUNCT
ap-6151	236	1	generally	generally	ADV
ap-6151	236	2	,	,	PUNCT
ap-6151	236	3	homogeneous	homogeneous	ADJ
ap-6151	236	4	dirichlet	dirichlet	PROPN
ap-6151	236	5	boundary	boundary	ADJ
ap-6151	236	6	condition	condition	NOUN
ap-6151	236	7	for	for	ADP
ap-6151	236	8	velocity	velocity	NOUN
ap-6151	236	9	is	be	AUX
ap-6151	236	10	set	set	VERB
ap-6151	236	11	on	on	ADP
ap-6151	236	12	the	the	DET
ap-6151	236	13	left	left	ADJ
ap-6151	236	14	,	,	PUNCT
ap-6151	236	15	right	right	ADJ
ap-6151	236	16	and	and	CCONJ
ap-6151	236	17	bottom	bottom	ADJ
ap-6151	236	18	boundaries	boundary	NOUN
ap-6151	236	19	of	of	ADP
ap-6151	236	20	the	the	DET
ap-6151	236	21	computational	computational	ADJ
ap-6151	236	22	domain	domain	NOUN
ap-6151	236	23	and	and	CCONJ
ap-6151	236	24	constant	constant	ADJ
ap-6151	236	25	velocity	velocity	NOUN
ap-6151	236	26	u	u	NOUN
ap-6151	236	27	=	=	PUNCT
ap-6151	236	28	(	(	PUNCT
ap-6151	236	29	1	1	NUM
ap-6151	236	30	,	,	PUNCT
ap-6151	236	31	0	0	NUM
ap-6151	236	32	)	)	PUNCT
ap-6151	236	33	is	be	AUX
ap-6151	236	34	prescribed	prescribe	VERB
ap-6151	236	35	on	on	ADP
ap-6151	236	36	the	the	DET
ap-6151	236	37	lid	lid	NOUN
ap-6151	236	38	part	part	NOUN
ap-6151	236	39	(	(	PUNCT
ap-6151	236	40	top	top	NOUN
ap-6151	236	41	)	)	PUNCT
ap-6151	236	42	of	of	ADP
ap-6151	236	43	the	the	DET
ap-6151	236	44	boundary	boundary	NOUN
ap-6151	236	45	.	.	PUNCT
ap-6151	237	1	however	however	ADV
ap-6151	237	2	,	,	PUNCT
ap-6151	237	3	since	since	SCONJ
ap-6151	237	4	gd	gd	PROPN
ap-6151	237	5	is	be	AUX
ap-6151	237	6	a	a	DET
ap-6151	237	7	discontinuous	discontinuous	ADJ
ap-6151	237	8	function	function	NOUN
ap-6151	237	9	in	in	ADP
ap-6151	237	10	this	this	DET
ap-6151	237	11	case	case	NOUN
ap-6151	237	12	,	,	PUNCT
ap-6151	237	13	it	it	PRON
ap-6151	237	14	does	do	AUX
ap-6151	237	15	not	not	PART
ap-6151	237	16	lie	lie	VERB
ap-6151	237	17	in	in	ADP
ap-6151	237	18	h1/2(∂ω)d	h1/2(∂ω)d	PROPN
ap-6151	237	19	and	and	CCONJ
ap-6151	237	20	thus	thus	ADV
ap-6151	237	21	the	the	DET
ap-6151	237	22	velocity	velocity	NOUN
ap-6151	237	23	solution	solution	NOUN
ap-6151	237	24	can	can	AUX
ap-6151	237	25	not	not	PART
ap-6151	237	26	be	be	AUX
ap-6151	237	27	searched	search	VERB
ap-6151	237	28	in	in	ADP
ap-6151	237	29	the	the	DET
ap-6151	237	30	space	space	NOUN
ap-6151	237	31	v	v	NOUN
ap-6151	237	32	defined	define	VERB
ap-6151	237	33	in	in	ADP
ap-6151	237	34	(	(	PUNCT
ap-6151	237	35	3	3	NUM
ap-6151	237	36	)	)	PUNCT
ap-6151	237	37	,	,	PUNCT
ap-6151	237	38	see	see	VERB
ap-6151	238	1	e.g.	e.g.	ADV
ap-6151	238	2	[	[	X
ap-6151	238	3	58	58	NUM
ap-6151	238	4	]	]	PUNCT
ap-6151	238	5	for	for	ADP
ap-6151	238	6	more	more	ADJ
ap-6151	238	7	details	detail	NOUN
ap-6151	238	8	on	on	ADP
ap-6151	238	9	this	this	DET
ap-6151	238	10	issue	issue	NOUN
ap-6151	238	11	.	.	PUNCT
ap-6151	239	1	for	for	ADP
ap-6151	239	2	discretizations	discretization	NOUN
ap-6151	239	3	of	of	ADP
ap-6151	239	4	such	such	ADJ
ap-6151	239	5	singular	singular	ADJ
ap-6151	239	6	problem	problem	NOUN
ap-6151	239	7	,	,	PUNCT
ap-6151	239	8	slower	slow	ADJ
ap-6151	239	9	convergence	convergence	NOUN
ap-6151	239	10	can	can	AUX
ap-6151	239	11	be	be	AUX
ap-6151	239	12	expected	expect	VERB
ap-6151	239	13	when	when	SCONJ
ap-6151	239	14	refining	refine	VERB
ap-6151	239	15	the	the	DET
ap-6151	239	16	mesh	mesh	NOUN
ap-6151	239	17	.	.	PUNCT
ap-6151	240	1	in	in	ADP
ap-6151	240	2	order	order	NOUN
ap-6151	240	3	to	to	PART
ap-6151	240	4	ensure	ensure	VERB
ap-6151	240	5	well	well	ADJ
ap-6151	240	6	-	-	PUNCT
ap-6151	240	7	posedness	posedness	NOUN
ap-6151	240	8	of	of	ADP
ap-6151	240	9	the	the	DET
ap-6151	240	10	problem	problem	NOUN
ap-6151	240	11	,	,	PUNCT
ap-6151	240	12	a	a	DET
ap-6151	240	13	so	so	ADV
ap-6151	240	14	-	-	PUNCT
ap-6151	240	15	called	call	VERB
ap-6151	240	16	regularization	regularization	NOUN
ap-6151	240	17	is	be	AUX
ap-6151	240	18	often	often	ADV
ap-6151	240	19	used	use	VERB
ap-6151	240	20	,	,	PUNCT
ap-6151	240	21	which	which	PRON
ap-6151	240	22	means	mean	VERB
ap-6151	240	23	that	that	SCONJ
ap-6151	240	24	the	the	DET
ap-6151	240	25	discontinuous	discontinuous	ADJ
ap-6151	240	26	function	function	NOUN
ap-6151	240	27	gd	gd	NOUN
ap-6151	240	28	is	be	AUX
ap-6151	240	29	replaced	replace	VERB
ap-6151	240	30	by	by	ADP
ap-6151	240	31	some	some	DET
ap-6151	240	32	suitable	suitable	ADJ
ap-6151	240	33	function	function	NOUN
ap-6151	240	34	from	from	ADP
ap-6151	240	35	h1/2(∂ω)d	h1/2(∂ω)d	PROPN
ap-6151	240	36	.	.	PUNCT
ap-6151	241	1	for	for	ADP
ap-6151	241	2	instance	instance	NOUN
ap-6151	241	3	,	,	PUNCT
ap-6151	241	4	we	we	PRON
ap-6151	241	5	can	can	AUX
ap-6151	241	6	define	define	VERB
ap-6151	241	7	a	a	DET
ap-6151	241	8	function	function	NOUN
ap-6151	241	9	gεd	gεd	NOUN
ap-6151	241	10	such	such	DET
ap-6151	241	11	that	that	SCONJ
ap-6151	241	12	its	its	PRON
ap-6151	241	13	first	first	ADJ
ap-6151	241	14	component	component	NOUN
ap-6151	241	15	changes	change	NOUN
ap-6151	241	16	linearly	linearly	ADV
ap-6151	241	17	from	from	ADP
ap-6151	241	18	0	0	NUM
ap-6151	241	19	to	to	ADP
ap-6151	241	20	1	1	NUM
ap-6151	241	21	on	on	ADP
ap-6151	241	22	a	a	DET
ap-6151	241	23	part	part	NOUN
ap-6151	241	24	of	of	ADP
ap-6151	241	25	the	the	DET
ap-6151	241	26	boundary	boundary	NOUN
ap-6151	241	27	of	of	ADP
ap-6151	241	28	width	width	ADJ
ap-6151	241	29	ε	ε	PROPN
ap-6151	241	30	near	near	ADP
ap-6151	241	31	the	the	DET
ap-6151	241	32	upper	upper	ADJ
ap-6151	241	33	corners	corner	NOUN
ap-6151	241	34	as	as	ADP
ap-6151	241	35	in	in	ADP
ap-6151	241	36	[	[	X
ap-6151	241	37	59	59	NUM
ap-6151	241	38	]	]	PUNCT
ap-6151	241	39	.	.	PUNCT
ap-6151	242	1	however	however	ADV
ap-6151	242	2	,	,	PUNCT
ap-6151	242	3	in	in	ADP
ap-6151	242	4	this	this	DET
ap-6151	242	5	paper	paper	NOUN
ap-6151	242	6	,	,	PUNCT
ap-6151	242	7	we	we	PRON
ap-6151	242	8	discretize	discretize	VERB
ap-6151	242	9	the	the	DET
ap-6151	242	10	original	original	ADJ
ap-6151	242	11	singular	singular	ADJ
ap-6151	242	12	problem	problem	NOUN
ap-6151	242	13	,	,	PUNCT
ap-6151	242	14	i.e.	i.e.	X
ap-6151	242	15	,	,	PUNCT
ap-6151	242	16	no	no	DET
ap-6151	242	17	regularization	regularization	NOUN
ap-6151	242	18	is	be	AUX
ap-6151	242	19	used	use	VERB
ap-6151	242	20	here	here	ADV
ap-6151	242	21	.	.	PUNCT
ap-6151	243	1	thus	thus	ADV
ap-6151	243	2	,	,	PUNCT
ap-6151	243	3	we	we	PRON
ap-6151	243	4	can	can	AUX
ap-6151	243	5	compare	compare	VERB
ap-6151	243	6	our	our	PRON
ap-6151	243	7	iga	iga	PROPN
ap-6151	243	8	solutions	solution	NOUN
ap-6151	243	9	with	with	ADP
ap-6151	243	10	the	the	DET
ap-6151	243	11	results	result	NOUN
ap-6151	243	12	available	available	ADJ
ap-6151	243	13	in	in	ADP
ap-6151	243	14	the	the	DET
ap-6151	243	15	references	reference	NOUN
ap-6151	243	16	mentioned	mention	VERB
ap-6151	243	17	above	above	ADP
ap-6151	243	18	,	,	PUNCT
ap-6151	243	19	where	where	SCONJ
ap-6151	243	20	the	the	DET
ap-6151	243	21	singular	singular	ADJ
ap-6151	243	22	lid	lid	NOUN
ap-6151	243	23	-	-	PUNCT
ap-6151	243	24	driven	drive	VERB
ap-6151	243	25	cavity	cavity	NOUN
ap-6151	243	26	is	be	AUX
ap-6151	243	27	also	also	ADV
ap-6151	243	28	considered	consider	VERB
ap-6151	243	29	.	.	PUNCT
ap-6151	244	1	in	in	ADP
ap-6151	244	2	fact	fact	NOUN
ap-6151	244	3	,	,	PUNCT
ap-6151	244	4	after	after	ADP
ap-6151	244	5	iga	iga	PROPN
ap-6151	244	6	discretization	discretization	NOUN
ap-6151	244	7	,	,	PUNCT
ap-6151	244	8	the	the	DET
ap-6151	244	9	finite	finite	ADJ
ap-6151	244	10	dimensional	dimensional	ADJ
ap-6151	244	11	problem	problem	NOUN
ap-6151	244	12	is	be	AUX
ap-6151	244	13	solved	solve	VERB
ap-6151	244	14	with	with	ADP
ap-6151	244	15	a	a	DET
ap-6151	244	16	continuous	continuous	ADJ
ap-6151	244	17	boundary	boundary	ADJ
ap-6151	244	18	condition	condition	NOUN
ap-6151	244	19	gdh	gdh	ADV
ap-6151	244	20	defined	define	VERB
ap-6151	244	21	as	as	ADP
ap-6151	244	22	a	a	DET
ap-6151	244	23	b	b	NOUN
ap-6151	244	24	-	-	PUNCT
ap-6151	244	25	spline	spline	NOUN
ap-6151	244	26	approximation	approximation	NOUN
ap-6151	244	27	of	of	ADP
ap-6151	244	28	gd	gd	NOUN
ap-6151	244	29	on	on	ADP
ap-6151	244	30	the	the	DET
ap-6151	244	31	given	give	VERB
ap-6151	244	32	mesh	mesh	NOUN
ap-6151	244	33	.	.	PUNCT
ap-6151	245	1	in	in	ADP
ap-6151	245	2	principle	principle	NOUN
ap-6151	245	3	,	,	PUNCT
ap-6151	245	4	there	there	PRON
ap-6151	245	5	are	be	VERB
ap-6151	245	6	two	two	NUM
ap-6151	245	7	ways	way	NOUN
ap-6151	245	8	to	to	PART
ap-6151	245	9	approximate	approximate	VERB
ap-6151	245	10	the	the	DET
ap-6151	245	11	discontinuous	discontinuous	ADJ
ap-6151	245	12	boundary	boundary	ADJ
ap-6151	245	13	condition	condition	NOUN
ap-6151	245	14	,	,	PUNCT
ap-6151	245	15	called	call	VERB
ap-6151	245	16	“	"	PUNCT
ap-6151	245	17	leaky	leaky	ADJ
ap-6151	245	18	”	"	PUNCT
ap-6151	245	19	and	and	CCONJ
ap-6151	245	20	“	"	PUNCT
ap-6151	245	21	non	non	ADJ
ap-6151	245	22	-	-	ADJ
ap-6151	245	23	leaky	leaky	ADJ
ap-6151	245	24	”	"	PUNCT
ap-6151	245	25	cavity	cavity	NOUN
ap-6151	245	26	.	.	PUNCT
ap-6151	246	1	the	the	DET
ap-6151	246	2	leaky	leaky	ADJ
ap-6151	246	3	cavity	cavity	NOUN
ap-6151	246	4	approach	approach	NOUN
ap-6151	246	5	considers	consider	VERB
ap-6151	246	6	the	the	DET
ap-6151	246	7	upper	upper	ADJ
ap-6151	246	8	corners	corner	NOUN
ap-6151	246	9	as	as	ADP
ap-6151	246	10	part	part	NOUN
ap-6151	246	11	of	of	ADP
ap-6151	246	12	the	the	DET
ap-6151	246	13	lid	lid	NOUN
ap-6151	246	14	and	and	CCONJ
ap-6151	246	15	the	the	DET
ap-6151	246	16	first	first	ADJ
ap-6151	246	17	component	component	NOUN
ap-6151	246	18	of	of	ADP
ap-6151	246	19	gdh	gdh	NOUN
ap-6151	246	20	goes	go	VERB
ap-6151	246	21	from	from	ADP
ap-6151	246	22	0	0	NUM
ap-6151	246	23	to	to	ADP
ap-6151	246	24	1	1	NUM
ap-6151	246	25	on	on	ADP
ap-6151	246	26	some	some	DET
ap-6151	246	27	part	part	NOUN
ap-6151	246	28	of	of	ADP
ap-6151	246	29	the	the	DET
ap-6151	246	30	vertical	vertical	ADJ
ap-6151	246	31	walls	wall	NOUN
ap-6151	246	32	(	(	PUNCT
ap-6151	246	33	dependent	dependent	ADJ
ap-6151	246	34	on	on	ADP
ap-6151	246	35	the	the	DET
ap-6151	246	36	mesh	mesh	NOUN
ap-6151	246	37	)	)	PUNCT
ap-6151	246	38	near	near	ADP
ap-6151	246	39	the	the	DET
ap-6151	246	40	upper	upper	ADJ
ap-6151	246	41	corners	corner	NOUN
ap-6151	246	42	.	.	PUNCT
ap-6151	247	1	we	we	PRON
ap-6151	247	2	consider	consider	VERB
ap-6151	247	3	the	the	DET
ap-6151	247	4	non	non	ADJ
ap-6151	247	5	-	-	ADJ
ap-6151	247	6	leaky	leaky	ADJ
ap-6151	247	7	cavity	cavity	NOUN
ap-6151	247	8	approach	approach	NOUN
ap-6151	247	9	,	,	PUNCT
ap-6151	247	10	where	where	SCONJ
ap-6151	247	11	,	,	PUNCT
ap-6151	247	12	on	on	ADP
ap-6151	247	13	the	the	DET
ap-6151	247	14	contrary	contrary	NOUN
ap-6151	247	15	,	,	PUNCT
ap-6151	247	16	the	the	DET
ap-6151	247	17	upper	upper	ADJ
ap-6151	247	18	corners	corner	NOUN
ap-6151	247	19	are	be	AUX
ap-6151	247	20	considered	consider	VERB
ap-6151	247	21	as	as	ADP
ap-6151	247	22	part	part	NOUN
ap-6151	247	23	of	of	ADP
ap-6151	247	24	the	the	DET
ap-6151	247	25	vertical	vertical	ADJ
ap-6151	247	26	walls	wall	NOUN
ap-6151	247	27	.	.	PUNCT
ap-6151	248	1	as	as	SCONJ
ap-6151	248	2	dirichlet	dirichlet	PROPN
ap-6151	248	3	boundary	boundary	PROPN
ap-6151	248	4	conditions	condition	NOUN
ap-6151	248	5	for	for	ADP
ap-6151	248	6	velocity	velocity	NOUN
ap-6151	248	7	are	be	AUX
ap-6151	248	8	imposed	impose	VERB
ap-6151	248	9	on	on	ADP
ap-6151	248	10	the	the	DET
ap-6151	248	11	whole	whole	ADJ
ap-6151	248	12	boundary	boundary	NOUN
ap-6151	248	13	of	of	ADP
ap-6151	248	14	the	the	DET
ap-6151	248	15	computational	computational	ADJ
ap-6151	248	16	domain	domain	NOUN
ap-6151	248	17	,	,	PUNCT
ap-6151	248	18	the	the	DET
ap-6151	248	19	pressure	pressure	NOUN
ap-6151	248	20	is	be	AUX
ap-6151	248	21	determined	determine	VERB
ap-6151	248	22	up	up	ADP
ap-6151	248	23	to	to	ADP
ap-6151	248	24	an	an	DET
ap-6151	248	25	arbitrary	arbitrary	ADJ
ap-6151	248	26	constant	constant	ADJ
ap-6151	248	27	.	.	PUNCT
ap-6151	249	1	thus	thus	ADV
ap-6151	249	2	,	,	PUNCT
ap-6151	249	3	to	to	PART
ap-6151	249	4	have	have	VERB
ap-6151	249	5	the	the	DET
ap-6151	249	6	discrete	discrete	ADJ
ap-6151	249	7	pressure	pressure	NOUN
ap-6151	249	8	field	field	NOUN
ap-6151	249	9	uniquely	uniquely	ADV
ap-6151	249	10	defined	define	VERB
ap-6151	249	11	,	,	PUNCT
ap-6151	249	12	we	we	PRON
ap-6151	249	13	fix	fix	VERB
ap-6151	249	14	the	the	DET
ap-6151	249	15	value	value	NOUN
ap-6151	249	16	of	of	ADP
ap-6151	249	17	pressure	pressure	NOUN
ap-6151	249	18	to	to	ADP
ap-6151	249	19	zero	zero	NUM
ap-6151	249	20	at	at	ADP
ap-6151	249	21	the	the	DET
ap-6151	249	22	bottom	bottom	ADJ
ap-6151	249	23	left	leave	VERB
ap-6151	249	24	corner	corner	NOUN
ap-6151	249	25	.	.	PUNCT
ap-6151	250	1	38	38	NUM
ap-6151	250	2	vol	vol	NOUN
ap-6151	250	3	.	.	PUNCT
ap-6151	251	1	61	61	NUM
ap-6151	251	2	special	special	ADJ
ap-6151	251	3	issue/2021	issue/2021	NOUN
ap-6151	251	4	numerical	numerical	PROPN
ap-6151	251	5	simulation	simulation	PROPN
ap-6151	251	6	of	of	ADP
ap-6151	251	7	lid	lid	NOUN
ap-6151	251	8	-	-	PUNCT
ap-6151	251	9	driven	drive	VERB
ap-6151	251	10	cavity	cavity	NOUN
ap-6151	251	11	flow	flow	NOUN
ap-6151	251	12	by	by	ADP
ap-6151	251	13	isogeometric	isogeometric	ADJ
ap-6151	251	14	analysis	analysis	NOUN
ap-6151	251	15	(	(	PUNCT
ap-6151	251	16	a	a	NOUN
ap-6151	251	17	)	)	PUNCT
ap-6151	251	18	.	.	PUNCT
ap-6151	252	1	(	(	PUNCT
ap-6151	252	2	b	b	NOUN
ap-6151	252	3	)	)	PUNCT
ap-6151	252	4	.	.	PUNCT
ap-6151	253	1	figure	figure	NOUN
ap-6151	253	2	2	2	NUM
ap-6151	253	3	.	.	PUNCT
ap-6151	253	4	comparison	comparison	NOUN
ap-6151	253	5	of	of	ADP
ap-6151	253	6	reference	reference	NOUN
ap-6151	253	7	solutions	solution	NOUN
ap-6151	253	8	(	(	PUNCT
ap-6151	253	9	y.	y.	PROPN
ap-6151	253	10	papadopoulos	papadopoulos	PROPN
ap-6151	253	11	stands	stand	VERB
ap-6151	253	12	for	for	ADP
ap-6151	253	13	[	[	X
ap-6151	253	14	55	55	NUM
ap-6151	253	15	]	]	PUNCT
ap-6151	253	16	,	,	PUNCT
ap-6151	253	17	t.	t.	PROPN
ap-6151	253	18	a.	a.	PROPN
ap-6151	253	19	abdelmigid	abdelmigid	PROPN
ap-6151	253	20	et	et	PROPN
ap-6151	253	21	al	al	PROPN
ap-6151	253	22	.	.	PROPN
ap-6151	254	1	for	for	ADP
ap-6151	254	2	[	[	X
ap-6151	254	3	39	39	NUM
ap-6151	254	4	]	]	PUNCT
ap-6151	254	5	):	):	PUNCT
ap-6151	254	6	ux	ux	ADJ
ap-6151	254	7	-	-	PUNCT
ap-6151	254	8	velocity	velocity	NOUN
ap-6151	254	9	profile	profile	NOUN
ap-6151	254	10	along	along	ADP
ap-6151	254	11	a	a	DET
ap-6151	254	12	vertical	vertical	ADJ
ap-6151	254	13	line	line	NOUN
ap-6151	254	14	at	at	ADP
ap-6151	254	15	x	x	X
ap-6151	254	16	=	=	SYM
ap-6151	254	17	0.5	0.5	NUM
ap-6151	254	18	(	(	PUNCT
ap-6151	254	19	a	a	NOUN
ap-6151	254	20	)	)	PUNCT
ap-6151	254	21	,	,	PUNCT
ap-6151	254	22	uy	uy	NOUN
ap-6151	254	23	-	-	PUNCT
ap-6151	254	24	velocity	velocity	NOUN
ap-6151	254	25	profile	profile	NOUN
ap-6151	254	26	along	along	ADP
ap-6151	254	27	a	a	DET
ap-6151	254	28	horizontal	horizontal	ADJ
ap-6151	254	29	line	line	NOUN
ap-6151	254	30	at	at	ADP
ap-6151	254	31	y	y	PROPN
ap-6151	254	32	=	=	SYM
ap-6151	254	33	0.5	0.5	NUM
ap-6151	254	34	(	(	PUNCT
ap-6151	254	35	b	b	NOUN
ap-6151	254	36	)	)	PUNCT
ap-6151	254	37	.	.	PUNCT
ap-6151	255	1	figure	figure	VERB
ap-6151	255	2	3	3	NUM
ap-6151	255	3	.	.	PUNCT
ap-6151	255	4	lid	lid	NOUN
ap-6151	255	5	-	-	PUNCT
ap-6151	255	6	driven	drive	VERB
ap-6151	255	7	cavity	cavity	NOUN
ap-6151	255	8	flow	flow	NOUN
ap-6151	255	9	–	–	PUNCT
ap-6151	255	10	the	the	DET
ap-6151	255	11	problem	problem	NOUN
ap-6151	255	12	description	description	NOUN
ap-6151	255	13	.	.	PUNCT
ap-6151	256	1	6	6	X
ap-6151	256	2	.	.	X
ap-6151	256	3	results	result	NOUN
ap-6151	256	4	in	in	ADP
ap-6151	256	5	this	this	DET
ap-6151	256	6	section	section	NOUN
ap-6151	256	7	,	,	PUNCT
ap-6151	256	8	we	we	PRON
ap-6151	256	9	present	present	VERB
ap-6151	256	10	the	the	DET
ap-6151	256	11	numerical	numerical	ADJ
ap-6151	256	12	results	result	NOUN
ap-6151	256	13	obtained	obtain	VERB
ap-6151	256	14	by	by	ADP
ap-6151	256	15	our	our	PRON
ap-6151	256	16	in	in	ADP
ap-6151	256	17	-	-	PUNCT
ap-6151	256	18	house	house	NOUN
ap-6151	256	19	isogeometric	isogeometric	ADJ
ap-6151	256	20	fluid	fluid	NOUN
ap-6151	256	21	flow	flow	NOUN
ap-6151	256	22	solver	solver	VERB
ap-6151	256	23	for	for	ADP
ap-6151	256	24	the	the	DET
ap-6151	256	25	model	model	NOUN
ap-6151	256	26	problem	problem	NOUN
ap-6151	256	27	,	,	PUNCT
ap-6151	256	28	lid	lid	NOUN
ap-6151	256	29	-	-	PUNCT
ap-6151	256	30	driven	drive	VERB
ap-6151	256	31	cavity	cavity	NOUN
ap-6151	256	32	flow	flow	NOUN
ap-6151	256	33	,	,	PUNCT
ap-6151	256	34	and	and	CCONJ
ap-6151	256	35	compare	compare	VERB
ap-6151	256	36	them	they	PRON
ap-6151	256	37	with	with	ADP
ap-6151	256	38	reference	reference	NOUN
ap-6151	256	39	solutions	solution	NOUN
ap-6151	256	40	and	and	CCONJ
ap-6151	256	41	with	with	ADP
ap-6151	256	42	the	the	DET
ap-6151	256	43	numerical	numerical	ADJ
ap-6151	256	44	results	result	NOUN
ap-6151	256	45	obtained	obtain	VERB
ap-6151	256	46	by	by	ADP
ap-6151	256	47	standard	standard	ADJ
ap-6151	256	48	package	package	NOUN
ap-6151	256	49	fenics	fenic	NOUN
ap-6151	256	50	(	(	PUNCT
ap-6151	256	51	see	see	VERB
ap-6151	256	52	[	[	X
ap-6151	256	53	60	60	NUM
ap-6151	256	54	]	]	NUM
ap-6151	256	55	)	)	PUNCT
ap-6151	256	56	,	,	PUNCT
ap-6151	256	57	which	which	PRON
ap-6151	256	58	is	be	AUX
ap-6151	256	59	based	base	VERB
ap-6151	256	60	on	on	ADP
ap-6151	256	61	the	the	DET
ap-6151	256	62	finite	finite	ADJ
ap-6151	256	63	element	element	NOUN
ap-6151	256	64	method	method	NOUN
ap-6151	256	65	.	.	PUNCT
ap-6151	257	1	let	let	VERB
ap-6151	257	2	us	we	PRON
ap-6151	257	3	note	note	VERB
ap-6151	257	4	that	that	SCONJ
ap-6151	257	5	the	the	DET
ap-6151	257	6	simplicity	simplicity	NOUN
ap-6151	257	7	of	of	ADP
ap-6151	257	8	this	this	DET
ap-6151	257	9	benchmark	benchmark	NOUN
ap-6151	257	10	example	example	NOUN
ap-6151	257	11	is	be	AUX
ap-6151	257	12	in	in	ADP
ap-6151	257	13	favor	favor	NOUN
ap-6151	257	14	of	of	ADP
ap-6151	257	15	fem	fem	NOUN
ap-6151	257	16	because	because	SCONJ
ap-6151	257	17	it	it	PRON
ap-6151	257	18	is	be	AUX
ap-6151	257	19	possible	possible	ADJ
ap-6151	257	20	to	to	PART
ap-6151	257	21	represent	represent	VERB
ap-6151	257	22	the	the	DET
ap-6151	257	23	computational	computational	ADJ
ap-6151	257	24	domain	domain	NOUN
ap-6151	257	25	exactly	exactly	ADV
ap-6151	257	26	also	also	ADV
ap-6151	257	27	by	by	ADP
ap-6151	257	28	finite	finite	PROPN
ap-6151	257	29	element	element	NOUN
ap-6151	257	30	meshes	mesh	NOUN
ap-6151	257	31	.	.	PUNCT
ap-6151	258	1	on	on	ADP
ap-6151	258	2	more	more	ADV
ap-6151	258	3	complicated	complicated	ADJ
ap-6151	258	4	domains	domain	NOUN
ap-6151	258	5	,	,	PUNCT
ap-6151	258	6	where	where	SCONJ
ap-6151	258	7	finite	finite	ADJ
ap-6151	258	8	element	element	NOUN
ap-6151	258	9	meshes	mesh	VERB
ap-6151	258	10	only	only	ADV
ap-6151	258	11	approximate	approximate	VERB
ap-6151	258	12	the	the	DET
ap-6151	258	13	domain	domain	NOUN
ap-6151	258	14	boundary	boundary	NOUN
ap-6151	258	15	,	,	PUNCT
ap-6151	258	16	isogeometric	isogeometric	ADJ
ap-6151	258	17	analysis	analysis	NOUN
ap-6151	258	18	have	have	VERB
ap-6151	258	19	an	an	DET
ap-6151	258	20	advantage	advantage	NOUN
ap-6151	258	21	of	of	ADP
ap-6151	258	22	exact	exact	ADJ
ap-6151	258	23	representation	representation	NOUN
ap-6151	258	24	of	of	ADP
ap-6151	258	25	the	the	DET
ap-6151	258	26	computational	computational	ADJ
ap-6151	258	27	domain	domain	NOUN
ap-6151	258	28	by	by	ADP
ap-6151	258	29	a	a	DET
ap-6151	258	30	b	b	NOUN
ap-6151	258	31	-	-	PUNCT
ap-6151	258	32	spline	spline	ADJ
ap-6151	258	33	/	/	SYM
ap-6151	258	34	nurbs	nurbs	NOUN
ap-6151	258	35	mesh	mesh	NOUN
ap-6151	258	36	.	.	PUNCT
ap-6151	259	1	s2	s2	NOUN
ap-6151	259	2	0×s1	0×s1	NUM
ap-6151	259	3	0	0	NUM
ap-6151	259	4	s4	s4	PROPN
ap-6151	259	5	0×s3	0×s3	NOUN
ap-6151	259	6	0	0	NUM
ap-6151	259	7	s4	s4	NOUN
ap-6151	259	8	2×s3	2×s3	NUM
ap-6151	259	9	2	2	NUM
ap-6151	259	10	32×	32×	NUM
ap-6151	259	11	32	32	NUM
ap-6151	259	12	9026	9026	NUM
ap-6151	259	13	41666	41666	NUM
ap-6151	259	14	9674	9674	NUM
ap-6151	259	15	64×	64×	NOUN
ap-6151	259	16	64	64	NUM
ap-6151	259	17	36482	36482	NUM
ap-6151	259	18	167298	167298	NUM
ap-6151	259	19	37770	37770	NUM
ap-6151	259	20	128×	128×	NUM
ap-6151	259	21	128	128	NUM
ap-6151	259	22	146690	146690	NUM
ap-6151	259	23	670466	670466	NUM
ap-6151	259	24	149258	149258	NUM
ap-6151	259	25	table	table	NOUN
ap-6151	259	26	1	1	NUM
ap-6151	259	27	.	.	PUNCT
ap-6151	259	28	degrees	degree	NOUN
ap-6151	259	29	of	of	ADP
ap-6151	259	30	freedom	freedom	NOUN
ap-6151	259	31	(	(	PUNCT
ap-6151	259	32	dofs	dofs	NOUN
ap-6151	259	33	)	)	PUNCT
ap-6151	259	34	for	for	ADP
ap-6151	259	35	simulations	simulation	NOUN
ap-6151	259	36	on	on	ADP
ap-6151	259	37	different	different	ADJ
ap-6151	259	38	meshes	mesh	NOUN
ap-6151	259	39	in	in	ADP
ap-6151	259	40	the	the	DET
ap-6151	259	41	in	in	ADP
ap-6151	259	42	-	-	PUNCT
ap-6151	259	43	house	house	NOUN
ap-6151	259	44	iga	iga	PROPN
ap-6151	259	45	-	-	PUNCT
ap-6151	259	46	based	base	VERB
ap-6151	259	47	flow	flow	NOUN
ap-6151	259	48	solver	solver	NOUN
ap-6151	259	49	.	.	PUNCT
ap-6151	260	1	our	our	PRON
ap-6151	260	2	in	in	ADP
ap-6151	260	3	-	-	PUNCT
ap-6151	260	4	house	house	NOUN
ap-6151	260	5	isogeometric	isogeometric	ADJ
ap-6151	260	6	fluid	fluid	NOUN
ap-6151	260	7	flow	flow	NOUN
ap-6151	260	8	solver	solver	NOUN
ap-6151	260	9	is	be	AUX
ap-6151	260	10	implemented	implement	VERB
ap-6151	260	11	in	in	ADP
ap-6151	260	12	c++	c++	NOUN
ap-6151	260	13	in	in	ADP
ap-6151	260	14	the	the	DET
ap-6151	260	15	framework	framework	NOUN
ap-6151	260	16	of	of	ADP
ap-6151	260	17	g+smo	g+smo	NOUN
ap-6151	260	18	(	(	PUNCT
ap-6151	260	19	geometry	geometry	NOUN
ap-6151	260	20	and	and	CCONJ
ap-6151	260	21	simulation	simulation	NOUN
ap-6151	260	22	modules	module	NOUN
ap-6151	260	23	)	)	PUNCT
ap-6151	260	24	library	library	NOUN
ap-6151	260	25	(	(	PUNCT
ap-6151	260	26	see	see	VERB
ap-6151	260	27	[	[	X
ap-6151	260	28	61	61	NUM
ap-6151	260	29	]	]	NUM
ap-6151	260	30	)	)	PUNCT
ap-6151	260	31	.	.	PUNCT
ap-6151	261	1	for	for	ADP
ap-6151	261	2	all	all	DET
ap-6151	261	3	the	the	DET
ap-6151	261	4	simulations	simulation	NOUN
ap-6151	261	5	performed	perform	VERB
ap-6151	261	6	with	with	ADP
ap-6151	261	7	our	our	PRON
ap-6151	261	8	solver	solver	NOUN
ap-6151	261	9	we	we	PRON
ap-6151	261	10	used	use	VERB
ap-6151	261	11	the	the	DET
ap-6151	261	12	kinematic	kinematic	ADJ
ap-6151	261	13	viscosity	viscosity	NOUN
ap-6151	261	14	ν	ν	NOUN
ap-6151	261	15	=	=	SYM
ap-6151	261	16	0.0002	0.0002	NUM
ap-6151	261	17	yielding	yield	VERB
ap-6151	261	18	re	re	NOUN
ap-6151	261	19	=	=	NOUN
ap-6151	261	20	5000	5000	NUM
ap-6151	261	21	and	and	CCONJ
ap-6151	261	22	we	we	PRON
ap-6151	261	23	compare	compare	VERB
ap-6151	261	24	them	they	PRON
ap-6151	261	25	with	with	ADP
ap-6151	261	26	the	the	DET
ap-6151	261	27	results	result	NOUN
ap-6151	261	28	obtained	obtain	VERB
ap-6151	261	29	by	by	ADP
ap-6151	261	30	fenics	fenic	NOUN
ap-6151	261	31	and	and	CCONJ
ap-6151	261	32	with	with	ADP
ap-6151	261	33	the	the	DET
ap-6151	261	34	results	result	NOUN
ap-6151	261	35	of	of	ADP
ap-6151	261	36	the	the	DET
ap-6151	261	37	reference	reference	NOUN
ap-6151	261	38	solutions	solution	NOUN
ap-6151	261	39	presented	present	VERB
ap-6151	261	40	in	in	ADP
ap-6151	261	41	[	[	X
ap-6151	261	42	39	39	NUM
ap-6151	261	43	]	]	PUNCT
ap-6151	261	44	or	or	CCONJ
ap-6151	261	45	[	[	X
ap-6151	261	46	55	55	NUM
ap-6151	261	47	]	]	PUNCT
ap-6151	261	48	for	for	ADP
ap-6151	261	49	the	the	DET
ap-6151	261	50	same	same	ADJ
ap-6151	261	51	reynolds	reynold	NOUN
ap-6151	261	52	number	number	NOUN
ap-6151	261	53	.	.	PUNCT
ap-6151	262	1	specifically	specifically	ADV
ap-6151	262	2	,	,	PUNCT
ap-6151	262	3	the	the	DET
ap-6151	262	4	results	result	NOUN
ap-6151	262	5	from	from	ADP
ap-6151	262	6	[	[	X
ap-6151	262	7	39	39	NUM
ap-6151	262	8	]	]	PUNCT
ap-6151	262	9	are	be	AUX
ap-6151	262	10	used	use	VERB
ap-6151	262	11	for	for	ADP
ap-6151	262	12	the	the	DET
ap-6151	262	13	comparison	comparison	NOUN
ap-6151	262	14	of	of	ADP
ap-6151	262	15	uxand	uxand	ADJ
ap-6151	262	16	uy	uy	NOUN
ap-6151	262	17	-	-	PUNCT
ap-6151	262	18	velocity	velocity	NOUN
ap-6151	262	19	profiles	profile	NOUN
ap-6151	262	20	along	along	ADP
ap-6151	262	21	cross	cross	NOUN
ap-6151	262	22	-	-	NOUN
ap-6151	262	23	sections	section	NOUN
ap-6151	262	24	of	of	ADP
ap-6151	262	25	the	the	DET
ap-6151	262	26	computational	computational	ADJ
ap-6151	262	27	domain	domain	NOUN
ap-6151	262	28	at	at	ADP
ap-6151	262	29	x	x	X
ap-6151	262	30	=	=	SYM
ap-6151	262	31	0.5	0.5	NUM
ap-6151	262	32	and	and	CCONJ
ap-6151	262	33	y	y	NOUN
ap-6151	262	34	=	=	PROPN
ap-6151	262	35	0.5	0.5	NUM
ap-6151	262	36	,	,	PUNCT
ap-6151	262	37	respectively	respectively	ADV
ap-6151	262	38	,	,	PUNCT
ap-6151	262	39	and	and	CCONJ
ap-6151	262	40	the	the	DET
ap-6151	262	41	results	result	NOUN
ap-6151	262	42	from	from	ADP
ap-6151	262	43	[	[	X
ap-6151	262	44	55	55	NUM
ap-6151	262	45	]	]	PUNCT
ap-6151	262	46	for	for	ADP
ap-6151	262	47	comparison	comparison	NOUN
ap-6151	262	48	of	of	ADP
ap-6151	262	49	velocity	velocity	NOUN
ap-6151	262	50	profiles	profile	NOUN
ap-6151	262	51	along	along	ADP
ap-6151	262	52	all	all	DET
ap-6151	262	53	other	other	ADJ
ap-6151	262	54	crosssections	crosssection	NOUN
ap-6151	262	55	of	of	ADP
ap-6151	262	56	the	the	DET
ap-6151	262	57	computational	computational	ADJ
ap-6151	262	58	domain	domain	NOUN
ap-6151	262	59	.	.	PUNCT
ap-6151	263	1	we	we	PRON
ap-6151	263	2	tested	test	VERB
ap-6151	263	3	several	several	ADJ
ap-6151	263	4	different	different	ADJ
ap-6151	263	5	inf	inf	ADJ
ap-6151	263	6	-	-	PUNCT
ap-6151	263	7	sup	sup	NOUN
ap-6151	263	8	stable	stable	ADJ
ap-6151	263	9	pairs	pair	NOUN
ap-6151	263	10	of	of	ADP
ap-6151	263	11	b	b	NOUN
ap-6151	263	12	-	-	PUNCT
ap-6151	263	13	spline	spline	ADJ
ap-6151	263	14	discretization	discretization	NOUN
ap-6151	263	15	spaces	space	NOUN
ap-6151	263	16	,	,	PUNCT
ap-6151	263	17	i.e.	i.e.	X
ap-6151	263	18	,	,	PUNCT
ap-6151	263	19	•	•	NUM
ap-6151	263	20	s2	s2	NOUN
ap-6151	263	21	0×s1	0×s1	NOUN
ap-6151	263	22	0	0	PUNCT
ap-6151	264	1	with	with	ADP
ap-6151	264	2	linear	linear	ADJ
ap-6151	264	3	basis	basis	NOUN
ap-6151	264	4	functions	function	NOUN
ap-6151	264	5	for	for	ADP
ap-6151	264	6	pressure	pressure	NOUN
ap-6151	264	7	and	and	CCONJ
ap-6151	264	8	quadratic	quadratic	NOUN
ap-6151	264	9	for	for	ADP
ap-6151	264	10	velocity	velocity	NOUN
ap-6151	264	11	,	,	PUNCT
ap-6151	264	12	which	which	PRON
ap-6151	264	13	is	be	AUX
ap-6151	264	14	close	close	ADJ
ap-6151	264	15	to	to	ADP
ap-6151	264	16	the	the	DET
ap-6151	264	17	standard	standard	ADJ
ap-6151	264	18	fem	fem	NOUN
ap-6151	264	19	,	,	PUNCT
ap-6151	264	20	39	39	NUM
ap-6151	264	21	b.	b.	PROPN
ap-6151	264	22	bastl	bastl	PROPN
ap-6151	264	23	,	,	PUNCT
ap-6151	264	24	m.	m.	NOUN
ap-6151	264	25	brandner	brandner	NOUN
ap-6151	264	26	,	,	PUNCT
ap-6151	264	27	j.	j.	PROPN
ap-6151	264	28	egermaier	egermaier	PROPN
ap-6151	264	29	et	et	PROPN
ap-6151	264	30	al	al	PROPN
ap-6151	264	31	.	.	PROPN
ap-6151	264	32	acta	acta	PROPN
ap-6151	264	33	polytechnica	polytechnica	PROPN
ap-6151	264	34	figure	figure	NOUN
ap-6151	264	35	4	4	NUM
ap-6151	264	36	.	.	PUNCT
ap-6151	264	37	stream	stream	NOUN
ap-6151	264	38	function	function	NOUN
ap-6151	264	39	(	(	PUNCT
ap-6151	264	40	top	top	ADJ
ap-6151	264	41	)	)	PUNCT
ap-6151	264	42	and	and	CCONJ
ap-6151	264	43	vorticity	vorticity	NOUN
ap-6151	264	44	(	(	PUNCT
ap-6151	264	45	bottom	bottom	ADJ
ap-6151	264	46	)	)	PUNCT
ap-6151	264	47	profiles	profile	NOUN
ap-6151	264	48	obtained	obtain	VERB
ap-6151	264	49	for	for	ADP
ap-6151	264	50	s4	s4	PROPN
ap-6151	264	51	2	2	NUM
ap-6151	264	52	×	×	NOUN
ap-6151	264	53	s3	s3	PROPN
ap-6151	264	54	2	2	NUM
ap-6151	264	55	on	on	ADP
ap-6151	264	56	the	the	DET
ap-6151	264	57	mesh	mesh	NOUN
ap-6151	264	58	composed	compose	VERB
ap-6151	264	59	of	of	ADP
ap-6151	264	60	128×	128×	NUM
ap-6151	264	61	128	128	NUM
ap-6151	264	62	elements	element	NOUN
ap-6151	264	63	.	.	PUNCT
ap-6151	265	1	the	the	DET
ap-6151	265	2	contour	contour	NOUN
ap-6151	265	3	ranges	range	NOUN
ap-6151	265	4	for	for	ADP
ap-6151	265	5	stream	stream	NOUN
ap-6151	265	6	function	function	NOUN
ap-6151	265	7	and	and	CCONJ
ap-6151	265	8	vorticity	vorticity	NOUN
ap-6151	265	9	are	be	AUX
ap-6151	265	10	ψiso	ψiso	PRON
ap-6151	265	11	∈	∈	PROPN
ap-6151	266	1	[	[	X
ap-6151	266	2	−0.12	−0.12	NOUN
ap-6151	266	3	,	,	PUNCT
ap-6151	266	4	0.003	0.003	NUM
ap-6151	266	5	]	]	PUNCT
ap-6151	266	6	and	and	CCONJ
ap-6151	266	7	ωiso	ωiso	NOUN
ap-6151	266	8	∈	∈	PROPN
ap-6151	267	1	[	[	X
ap-6151	267	2	−10	−10	NOUN
ap-6151	267	3	,	,	PUNCT
ap-6151	267	4	20	20	NUM
ap-6151	267	5	]	]	PUNCT
ap-6151	267	6	,	,	PUNCT
ap-6151	267	7	respectively	respectively	ADV
ap-6151	267	8	.	.	PUNCT
ap-6151	268	1	•	•	NUM
ap-6151	268	2	s4	s4	PROPN
ap-6151	268	3	0×s3	0×s3	NOUN
ap-6151	268	4	0	0	NUM
ap-6151	268	5	with	with	ADP
ap-6151	268	6	cubic	cubic	ADJ
ap-6151	268	7	basis	basis	NOUN
ap-6151	268	8	functions	function	NOUN
ap-6151	268	9	for	for	ADP
ap-6151	268	10	pressure	pressure	NOUN
ap-6151	268	11	and	and	CCONJ
ap-6151	268	12	quartic	quartic	ADJ
ap-6151	268	13	for	for	ADP
ap-6151	268	14	velocity	velocity	NOUN
ap-6151	268	15	,	,	PUNCT
ap-6151	268	16	with	with	ADP
ap-6151	268	17	c0	c0	NOUN
ap-6151	268	18	continuity	continuity	NOUN
ap-6151	268	19	across	across	ADP
ap-6151	268	20	the	the	DET
ap-6151	268	21	elements	element	NOUN
ap-6151	268	22	,	,	PUNCT
ap-6151	268	23	and	and	CCONJ
ap-6151	268	24	•	•	NUM
ap-6151	268	25	s4	s4	VERB
ap-6151	268	26	2×s3	2×s3	NUM
ap-6151	268	27	2	2	NUM
ap-6151	268	28	with	with	ADP
ap-6151	268	29	cubic	cubic	ADJ
ap-6151	268	30	basis	basis	NOUN
ap-6151	268	31	functions	function	NOUN
ap-6151	268	32	for	for	ADP
ap-6151	268	33	pressure	pressure	NOUN
ap-6151	268	34	and	and	CCONJ
ap-6151	268	35	quartic	quartic	ADJ
ap-6151	268	36	for	for	ADP
ap-6151	268	37	velocity	velocity	NOUN
ap-6151	268	38	,	,	PUNCT
ap-6151	268	39	with	with	ADP
ap-6151	268	40	c2	c2	PROPN
ap-6151	268	41	continuity	continuity	NOUN
ap-6151	268	42	across	across	ADP
ap-6151	268	43	the	the	DET
ap-6151	268	44	elements	element	NOUN
ap-6151	268	45	.	.	PUNCT
ap-6151	269	1	for	for	ADP
ap-6151	269	2	all	all	DET
ap-6151	269	3	these	these	DET
ap-6151	269	4	pairs	pair	NOUN
ap-6151	269	5	of	of	ADP
ap-6151	269	6	b	b	NOUN
ap-6151	269	7	-	-	PUNCT
ap-6151	269	8	spline	spline	ADJ
ap-6151	269	9	discretization	discretization	NOUN
ap-6151	269	10	spaces	space	VERB
ap-6151	269	11	,	,	PUNCT
ap-6151	269	12	we	we	PRON
ap-6151	269	13	run	run	VERB
ap-6151	269	14	the	the	DET
ap-6151	269	15	simulations	simulation	NOUN
ap-6151	269	16	on	on	ADP
ap-6151	269	17	three	three	NUM
ap-6151	269	18	different	different	ADJ
ap-6151	269	19	uniform	uniform	ADJ
ap-6151	269	20	bspline	bspline	NOUN
ap-6151	269	21	meshes	mesh	NOUN
ap-6151	269	22	obtained	obtain	VERB
ap-6151	269	23	in	in	ADP
ap-6151	269	24	consecutive	consecutive	ADJ
ap-6151	269	25	uniform	uniform	ADJ
ap-6151	269	26	mesh	mesh	NOUN
ap-6151	269	27	refinement	refinement	NOUN
ap-6151	269	28	levels	level	NOUN
ap-6151	269	29	,	,	PUNCT
ap-6151	269	30	i.e.	i.e.	X
ap-6151	269	31	,	,	PUNCT
ap-6151	269	32	on	on	ADP
ap-6151	269	33	b	b	X
ap-6151	269	34	-	-	PUNCT
ap-6151	269	35	spline	spline	NOUN
ap-6151	269	36	meshes	mesh	NOUN
ap-6151	269	37	composed	compose	VERB
ap-6151	269	38	of	of	ADP
ap-6151	269	39	32×	32×	NUM
ap-6151	269	40	32	32	NUM
ap-6151	269	41	,	,	PUNCT
ap-6151	269	42	64×	64×	NOUN
ap-6151	269	43	64	64	NUM
ap-6151	269	44	and	and	CCONJ
ap-6151	269	45	128×	128×	NUM
ap-6151	269	46	128	128	NUM
ap-6151	269	47	b	b	X
ap-6151	269	48	-	-	PUNCT
ap-6151	269	49	spline	spline	NOUN
ap-6151	269	50	elements	element	NOUN
ap-6151	269	51	.	.	PUNCT
ap-6151	270	1	the	the	DET
ap-6151	270	2	corresponding	corresponding	ADJ
ap-6151	270	3	numbers	number	NOUN
ap-6151	270	4	of	of	ADP
ap-6151	270	5	degrees	degree	NOUN
ap-6151	270	6	of	of	ADP
ap-6151	270	7	freedom	freedom	NOUN
ap-6151	270	8	for	for	ADP
ap-6151	270	9	all	all	DET
ap-6151	270	10	these	these	DET
ap-6151	270	11	simulations	simulation	NOUN
ap-6151	270	12	are	be	AUX
ap-6151	270	13	demonstrated	demonstrate	VERB
ap-6151	270	14	in	in	ADP
ap-6151	270	15	table	table	NOUN
ap-6151	270	16	1	1	NUM
ap-6151	270	17	.	.	PUNCT
ap-6151	271	1	similarly	similarly	ADV
ap-6151	271	2	,	,	PUNCT
ap-6151	271	3	we	we	PRON
ap-6151	271	4	tested	test	VERB
ap-6151	271	5	different	different	ADJ
ap-6151	271	6	finite	finite	ADJ
ap-6151	271	7	element	element	NOUN
ap-6151	271	8	discretization	discretization	NOUN
ap-6151	271	9	spaces	space	VERB
ap-6151	271	10	in	in	ADP
ap-6151	271	11	fenics	fenic	NOUN
ap-6151	271	12	,	,	PUNCT
ap-6151	271	13	i.e.	i.e.	X
ap-6151	271	14	,	,	PUNCT
ap-6151	271	15	•	•	NUM
ap-6151	271	16	p2	p2	NOUN
ap-6151	271	17	/	/	SYM
ap-6151	271	18	p1	p1	NOUN
ap-6151	271	19	with	with	ADP
ap-6151	271	20	linear	linear	ADJ
ap-6151	271	21	basis	basis	NOUN
ap-6151	271	22	functions	function	NOUN
ap-6151	271	23	for	for	ADP
ap-6151	271	24	pressure	pressure	NOUN
ap-6151	271	25	and	and	CCONJ
ap-6151	271	26	quadratic	quadratic	NOUN
ap-6151	271	27	for	for	ADP
ap-6151	271	28	velocity	velocity	NOUN
ap-6151	271	29	,	,	PUNCT
ap-6151	271	30	and	and	CCONJ
ap-6151	271	31	•	•	ADV
ap-6151	271	32	p4	p4	ADJ
ap-6151	271	33	/	/	SYM
ap-6151	271	34	p3	p3	PROPN
ap-6151	271	35	with	with	ADP
ap-6151	271	36	cubic	cubic	ADJ
ap-6151	271	37	basis	basis	NOUN
ap-6151	271	38	functions	function	NOUN
ap-6151	271	39	for	for	ADP
ap-6151	271	40	pressure	pressure	NOUN
ap-6151	271	41	and	and	CCONJ
ap-6151	271	42	quartic	quartic	ADJ
ap-6151	271	43	for	for	ADP
ap-6151	271	44	velocity	velocity	NOUN
ap-6151	271	45	.	.	PUNCT
ap-6151	272	1	p2	p2	PROPN
ap-6151	272	2	/	/	SYM
ap-6151	272	3	p1	p1	NOUN
ap-6151	272	4	p4	p4	ADJ
ap-6151	272	5	/	/	SYM
ap-6151	272	6	p3	p3	PROPN
ap-6151	272	7	32×	32×	NUM
ap-6151	272	8	32	32	NUM
ap-6151	272	9	9539	9539	NUM
ap-6151	272	10	42691	42691	NUM
ap-6151	272	11	64×	64×	NOUN
ap-6151	272	12	64	64	NUM
ap-6151	272	13	37507	37507	NUM
ap-6151	272	14	169347	169347	NUM
ap-6151	273	1	128×	128×	NUM
ap-6151	273	2	128	128	NUM
ap-6151	273	3	148739	148739	NUM
ap-6151	273	4	674563	674563	NUM
ap-6151	273	5	256×	256×	NUM
ap-6151	273	6	256	256	NUM
ap-6151	273	7	592387	592387	NUM
ap-6151	273	8	2692611	2692611	NUM
ap-6151	273	9	table	table	NOUN
ap-6151	273	10	2	2	NUM
ap-6151	273	11	.	.	PUNCT
ap-6151	273	12	degrees	degree	NOUN
ap-6151	273	13	of	of	ADP
ap-6151	273	14	freedom	freedom	NOUN
ap-6151	273	15	(	(	PUNCT
ap-6151	273	16	dofs	dofs	NOUN
ap-6151	273	17	)	)	PUNCT
ap-6151	273	18	for	for	ADP
ap-6151	273	19	simulations	simulation	NOUN
ap-6151	273	20	on	on	ADP
ap-6151	273	21	different	different	ADJ
ap-6151	273	22	meshes	mesh	NOUN
ap-6151	273	23	in	in	ADP
ap-6151	273	24	fenics	fenic	NOUN
ap-6151	273	25	.	.	PUNCT
ap-6151	274	1	let	let	VERB
ap-6151	274	2	us	we	PRON
ap-6151	274	3	emphasize	emphasize	VERB
ap-6151	274	4	that	that	SCONJ
ap-6151	274	5	fenics	fenic	NOUN
ap-6151	274	6	is	be	AUX
ap-6151	274	7	based	base	VERB
ap-6151	274	8	on	on	ADP
ap-6151	274	9	triangular	triangular	NOUN
ap-6151	274	10	meshes	mesh	NOUN
ap-6151	274	11	.	.	PUNCT
ap-6151	275	1	the	the	DET
ap-6151	275	2	advantage	advantage	NOUN
ap-6151	275	3	of	of	ADP
ap-6151	275	4	fenics	fenics	PROPN
ap-6151	275	5	is	be	AUX
ap-6151	275	6	that	that	SCONJ
ap-6151	275	7	it	it	PRON
ap-6151	275	8	allows	allow	VERB
ap-6151	275	9	to	to	PART
ap-6151	275	10	choose	choose	VERB
ap-6151	275	11	higher	high	ADJ
ap-6151	275	12	degree	degree	NOUN
ap-6151	275	13	finite	finite	PROPN
ap-6151	275	14	element	element	NOUN
ap-6151	275	15	discretization	discretization	NOUN
ap-6151	275	16	spaces	space	NOUN
ap-6151	275	17	which	which	PRON
ap-6151	275	18	can	can	AUX
ap-6151	275	19	be	be	AUX
ap-6151	275	20	compared	compare	VERB
ap-6151	275	21	with	with	ADP
ap-6151	275	22	higher	high	ADJ
ap-6151	275	23	degree	degree	NOUN
ap-6151	275	24	b	b	X
ap-6151	275	25	-	-	PUNCT
ap-6151	275	26	spline	spline	ADJ
ap-6151	275	27	discretization	discretization	NOUN
ap-6151	275	28	spaces	space	NOUN
ap-6151	275	29	used	use	VERB
ap-6151	275	30	in	in	ADP
ap-6151	275	31	our	our	PRON
ap-6151	275	32	isogeometric	isogeometric	ADJ
ap-6151	275	33	fluid	fluid	NOUN
ap-6151	275	34	flow	flow	NOUN
ap-6151	275	35	solver	solver	NOUN
ap-6151	275	36	.	.	PUNCT
ap-6151	276	1	further	far	ADV
ap-6151	276	2	,	,	PUNCT
ap-6151	276	3	for	for	SCONJ
ap-6151	276	4	these	these	DET
ap-6151	276	5	pairs	pair	NOUN
ap-6151	276	6	of	of	ADP
ap-6151	276	7	finite	finite	ADJ
ap-6151	276	8	elements	element	NOUN
ap-6151	276	9	discretization	discretization	NOUN
ap-6151	276	10	spaces	space	VERB
ap-6151	276	11	,	,	PUNCT
ap-6151	276	12	we	we	PRON
ap-6151	276	13	run	run	VERB
ap-6151	276	14	the	the	DET
ap-6151	276	15	simulations	simulation	NOUN
ap-6151	276	16	on	on	ADP
ap-6151	276	17	four	four	NUM
ap-6151	276	18	different	different	ADJ
ap-6151	276	19	meshes	mesh	NOUN
ap-6151	276	20	obtained	obtain	VERB
ap-6151	276	21	in	in	ADP
ap-6151	276	22	consecutive	consecutive	ADJ
ap-6151	276	23	refinement	refinement	NOUN
ap-6151	276	24	levels	level	NOUN
ap-6151	276	25	.	.	PUNCT
ap-6151	277	1	the	the	DET
ap-6151	277	2	triangular	triangular	NOUN
ap-6151	277	3	meshes	mesh	NOUN
ap-6151	277	4	are	be	AUX
ap-6151	277	5	composed	compose	VERB
ap-6151	277	6	of	of	ADP
ap-6151	277	7	32	32	NUM
ap-6151	277	8	×	×	NOUN
ap-6151	277	9	32	32	NUM
ap-6151	277	10	,	,	PUNCT
ap-6151	277	11	64	64	NUM
ap-6151	277	12	×	×	NOUN
ap-6151	277	13	64	64	NUM
ap-6151	277	14	,	,	PUNCT
ap-6151	277	15	128	128	NUM
ap-6151	277	16	×	×	NOUN
ap-6151	277	17	128	128	NUM
ap-6151	277	18	and	and	CCONJ
ap-6151	277	19	256	256	NUM
ap-6151	277	20	×	×	NOUN
ap-6151	277	21	256	256	NUM
ap-6151	277	22	quads	quad	NOUN
ap-6151	277	23	divided	divide	VERB
ap-6151	277	24	into	into	ADP
ap-6151	277	25	two	two	NUM
ap-6151	277	26	triangles	triangle	NOUN
ap-6151	277	27	by	by	ADP
ap-6151	277	28	a	a	DET
ap-6151	277	29	diagonal	diagonal	NOUN
ap-6151	277	30	.	.	PUNCT
ap-6151	278	1	the	the	DET
ap-6151	278	2	corresponding	corresponding	ADJ
ap-6151	278	3	numbers	number	NOUN
ap-6151	278	4	of	of	ADP
ap-6151	278	5	degrees	degree	NOUN
ap-6151	278	6	of	of	ADP
ap-6151	278	7	freedom	freedom	NOUN
ap-6151	278	8	for	for	ADP
ap-6151	278	9	all	all	DET
ap-6151	278	10	these	these	DET
ap-6151	278	11	simulations	simulation	NOUN
ap-6151	278	12	are	be	AUX
ap-6151	278	13	demonstrated	demonstrate	VERB
ap-6151	278	14	in	in	ADP
ap-6151	278	15	table	table	NOUN
ap-6151	278	16	2	2	NUM
ap-6151	278	17	.	.	PUNCT
ap-6151	279	1	in	in	ADP
ap-6151	279	2	figure	figure	NOUN
ap-6151	279	3	4	4	NUM
ap-6151	279	4	,	,	PUNCT
ap-6151	279	5	we	we	PRON
ap-6151	279	6	present	present	VERB
ap-6151	279	7	stream	stream	NOUN
ap-6151	279	8	function	function	NOUN
ap-6151	279	9	and	and	CCONJ
ap-6151	279	10	vorticity	vorticity	NOUN
ap-6151	279	11	profiles	profile	NOUN
ap-6151	279	12	which	which	PRON
ap-6151	279	13	were	be	AUX
ap-6151	279	14	obtained	obtain	VERB
ap-6151	279	15	for	for	ADP
ap-6151	279	16	b	b	NOUN
ap-6151	279	17	-	-	PUNCT
ap-6151	279	18	spline	spline	ADJ
ap-6151	279	19	discretization	discretization	NOUN
ap-6151	279	20	space	space	NOUN
ap-6151	279	21	pair	pair	NOUN
ap-6151	279	22	s4	s4	VERB
ap-6151	279	23	2×s3	2×s3	NUM
ap-6151	279	24	2	2	NUM
ap-6151	279	25	(	(	PUNCT
ap-6151	279	26	see	see	VERB
ap-6151	279	27	[	[	X
ap-6151	279	28	33	33	NUM
ap-6151	279	29	]	]	PUNCT
ap-6151	279	30	for	for	ADP
ap-6151	279	31	details	detail	NOUN
ap-6151	279	32	on	on	ADP
ap-6151	279	33	stream	stream	NOUN
ap-6151	279	34	function	function	NOUN
ap-6151	279	35	and	and	CCONJ
ap-6151	279	36	vorticity	vorticity	NOUN
ap-6151	279	37	computation	computation	NOUN
ap-6151	279	38	)	)	PUNCT
ap-6151	279	39	.	.	PUNCT
ap-6151	280	1	we	we	PRON
ap-6151	280	2	do	do	AUX
ap-6151	280	3	not	not	PART
ap-6151	280	4	present	present	VERB
ap-6151	280	5	stream	stream	NOUN
ap-6151	280	6	function	function	NOUN
ap-6151	280	7	and	and	CCONJ
ap-6151	280	8	vorticity	vorticity	NOUN
ap-6151	280	9	profiles	profile	NOUN
ap-6151	280	10	for	for	ADP
ap-6151	280	11	other	other	ADJ
ap-6151	280	12	cases	case	NOUN
ap-6151	280	13	in	in	ADP
ap-6151	280	14	this	this	DET
ap-6151	280	15	study	study	NOUN
ap-6151	280	16	because	because	SCONJ
ap-6151	280	17	the	the	DET
ap-6151	280	18	figures	figure	NOUN
ap-6151	280	19	are	be	AUX
ap-6151	280	20	very	very	ADV
ap-6151	280	21	similar	similar	ADJ
ap-6151	280	22	and	and	CCONJ
ap-6151	280	23	presenting	present	VERB
ap-6151	280	24	these	these	DET
ap-6151	280	25	figures	figure	NOUN
ap-6151	280	26	would	would	AUX
ap-6151	280	27	not	not	PART
ap-6151	280	28	add	add	VERB
ap-6151	280	29	value	value	NOUN
ap-6151	280	30	.	.	PUNCT
ap-6151	281	1	let	let	VERB
ap-6151	281	2	us	we	PRON
ap-6151	281	3	only	only	ADV
ap-6151	281	4	note	note	VERB
ap-6151	281	5	that	that	SCONJ
ap-6151	281	6	visually	visually	ADV
ap-6151	281	7	both	both	DET
ap-6151	281	8	profiles	profile	NOUN
ap-6151	281	9	match	match	VERB
ap-6151	281	10	the	the	DET
ap-6151	281	11	corresponding	correspond	VERB
ap-6151	281	12	profiles	profile	NOUN
ap-6151	281	13	available	available	ADJ
ap-6151	281	14	in	in	ADP
ap-6151	281	15	the	the	DET
ap-6151	281	16	literature	literature	NOUN
ap-6151	281	17	very	very	ADV
ap-6151	281	18	well	well	ADV
ap-6151	281	19	(	(	PUNCT
ap-6151	281	20	see	see	VERB
ap-6151	282	1	e.g.	e.g.	ADV
ap-6151	282	2	[	[	X
ap-6151	282	3	54	54	NUM
ap-6151	282	4	]	]	NUM
ap-6151	282	5	)	)	PUNCT
ap-6151	282	6	.	.	PUNCT
ap-6151	283	1	further	far	ADV
ap-6151	283	2	,	,	PUNCT
ap-6151	283	3	we	we	PRON
ap-6151	283	4	present	present	VERB
ap-6151	283	5	the	the	DET
ap-6151	283	6	comparison	comparison	NOUN
ap-6151	283	7	of	of	ADP
ap-6151	283	8	ux	ux	ADJ
ap-6151	283	9	-	-	PUNCT
ap-6151	283	10	velocity	velocity	NOUN
ap-6151	283	11	profiles	profile	NOUN
ap-6151	283	12	along	along	ADP
ap-6151	283	13	vertical	vertical	ADJ
ap-6151	283	14	cross	cross	NOUN
ap-6151	283	15	-	-	NOUN
ap-6151	283	16	sections	section	NOUN
ap-6151	283	17	of	of	ADP
ap-6151	283	18	the	the	DET
ap-6151	283	19	computational	computational	ADJ
ap-6151	283	20	domain	domain	NOUN
ap-6151	283	21	at	at	ADP
ap-6151	283	22	x	x	X
ap-6151	283	23	=	=	SYM
ap-6151	283	24	0.1	0.1	NUM
ap-6151	283	25	,	,	PUNCT
ap-6151	283	26	x	x	PUNCT
ap-6151	283	27	=	=	SYM
ap-6151	283	28	0.5	0.5	NUM
ap-6151	283	29	,	,	PUNCT
ap-6151	283	30	x	x	PUNCT
ap-6151	283	31	=	=	SYM
ap-6151	283	32	0.95	0.95	NUM
ap-6151	283	33	and	and	CCONJ
ap-6151	283	34	uyvelocity	uyvelocity	NOUN
ap-6151	283	35	profiles	profile	NOUN
ap-6151	283	36	along	along	ADP
ap-6151	283	37	horizontal	horizontal	ADJ
ap-6151	283	38	cross	cros	NOUN
ap-6151	283	39	-	-	NOUN
ap-6151	283	40	sections	section	NOUN
ap-6151	283	41	of	of	ADP
ap-6151	283	42	the	the	DET
ap-6151	283	43	computational	computational	ADJ
ap-6151	283	44	domain	domain	NOUN
ap-6151	283	45	at	at	ADP
ap-6151	283	46	y	y	PROPN
ap-6151	283	47	=	=	PROPN
ap-6151	283	48	0.1	0.1	NUM
ap-6151	283	49	,	,	PUNCT
ap-6151	283	50	y	y	PROPN
ap-6151	283	51	=	=	SYM
ap-6151	283	52	0.5	0.5	NUM
ap-6151	283	53	,	,	PUNCT
ap-6151	283	54	y	y	PROPN
ap-6151	283	55	=	=	NOUN
ap-6151	283	56	0.99	0.99	NUM
ap-6151	283	57	obtained	obtain	VERB
ap-6151	283	58	for	for	ADP
ap-6151	283	59	selected	select	VERB
ap-6151	283	60	discretization	discretization	NOUN
ap-6151	283	61	spaces	space	VERB
ap-6151	283	62	in	in	ADP
ap-6151	283	63	study	study	NOUN
ap-6151	283	64	in	in	ADP
ap-6151	283	65	figures	figure	NOUN
ap-6151	283	66	5	5	NUM
ap-6151	283	67	and	and	CCONJ
ap-6151	283	68	6	6	NUM
ap-6151	283	69	.	.	PUNCT
ap-6151	284	1	let	let	VERB
ap-6151	284	2	us	we	PRON
ap-6151	284	3	emphasize	emphasize	VERB
ap-6151	284	4	that	that	SCONJ
ap-6151	284	5	except	except	SCONJ
ap-6151	284	6	the	the	DET
ap-6151	284	7	velocity	velocity	NOUN
ap-6151	284	8	profiles	profile	NOUN
ap-6151	284	9	along	along	ADP
ap-6151	284	10	cross	cross	NOUN
ap-6151	284	11	-	-	NOUN
ap-6151	284	12	sections	section	NOUN
ap-6151	284	13	at	at	ADP
ap-6151	284	14	x	x	X
ap-6151	284	15	=	=	SYM
ap-6151	284	16	0.5	0.5	NUM
ap-6151	284	17	,	,	PUNCT
ap-6151	284	18	y	y	PROPN
ap-6151	284	19	=	=	SYM
ap-6151	284	20	0.5	0.5	NUM
ap-6151	284	21	,	,	PUNCT
ap-6151	284	22	which	which	PRON
ap-6151	284	23	are	be	AUX
ap-6151	284	24	quite	quite	ADV
ap-6151	284	25	commonly	commonly	ADV
ap-6151	284	26	presented	present	VERB
ap-6151	284	27	in	in	ADP
ap-6151	284	28	the	the	DET
ap-6151	284	29	literature	literature	NOUN
ap-6151	284	30	,	,	PUNCT
ap-6151	284	31	we	we	PRON
ap-6151	284	32	demonstrate	demonstrate	VERB
ap-6151	284	33	the	the	DET
ap-6151	284	34	results	result	NOUN
ap-6151	284	35	also	also	ADV
ap-6151	284	36	for	for	ADP
ap-6151	284	37	other	other	ADJ
ap-6151	284	38	cross	cross	NOUN
ap-6151	284	39	-	-	NOUN
ap-6151	284	40	sections	section	NOUN
ap-6151	284	41	.	.	PUNCT
ap-6151	285	1	the	the	DET
ap-6151	285	2	reason	reason	NOUN
ap-6151	285	3	is	be	AUX
ap-6151	285	4	that	that	SCONJ
ap-6151	285	5	we	we	PRON
ap-6151	285	6	want	want	VERB
ap-6151	285	7	to	to	PART
ap-6151	285	8	compare	compare	VERB
ap-6151	285	9	the	the	DET
ap-6151	285	10	solutions	solution	NOUN
ap-6151	285	11	obtained	obtain	VERB
ap-6151	285	12	for	for	ADP
ap-6151	285	13	different	different	ADJ
ap-6151	285	14	discretization	discretization	NOUN
ap-6151	285	15	spaces	space	VERB
ap-6151	285	16	more	more	ADV
ap-6151	285	17	thoroughly	thoroughly	ADV
ap-6151	285	18	in	in	ADP
ap-6151	285	19	the	the	DET
ap-6151	285	20	whole	whole	ADJ
ap-6151	285	21	domain	domain	NOUN
ap-6151	285	22	and	and	CCONJ
ap-6151	285	23	the	the	DET
ap-6151	285	24	cross	cros	NOUN
ap-6151	285	25	-	-	NOUN
ap-6151	285	26	sections	section	NOUN
ap-6151	285	27	near	near	ADP
ap-6151	285	28	the	the	DET
ap-6151	285	29	boundary	boundary	NOUN
ap-6151	285	30	of	of	ADP
ap-6151	285	31	the	the	DET
ap-6151	285	32	computational	computational	ADJ
ap-6151	285	33	domain	domain	NOUN
ap-6151	285	34	intersect	intersect	VERB
ap-6151	285	35	the	the	DET
ap-6151	285	36	problematic	problematic	ADJ
ap-6151	285	37	parts	part	NOUN
ap-6151	285	38	of	of	ADP
ap-6151	285	39	the	the	DET
ap-6151	285	40	solution	solution	NOUN
ap-6151	285	41	.	.	PUNCT
ap-6151	286	1	from	from	ADP
ap-6151	286	2	figures	figure	NOUN
ap-6151	286	3	5	5	NUM
ap-6151	286	4	and	and	CCONJ
ap-6151	286	5	6	6	NUM
ap-6151	286	6	,	,	PUNCT
ap-6151	286	7	we	we	PRON
ap-6151	286	8	can	can	AUX
ap-6151	286	9	conclude	conclude	VERB
ap-6151	286	10	that	that	SCONJ
ap-6151	286	11	most	most	ADJ
ap-6151	286	12	of	of	ADP
ap-6151	286	13	the	the	DET
ap-6151	286	14	solutions	solution	NOUN
ap-6151	286	15	obtained	obtain	VERB
ap-6151	286	16	for	for	ADP
ap-6151	286	17	selected	select	VERB
ap-6151	286	18	discretization	discretization	NOUN
ap-6151	286	19	space	space	NOUN
ap-6151	286	20	pairs	pair	NOUN
ap-6151	286	21	and	and	CCONJ
ap-6151	286	22	selected	select	VERB
ap-6151	286	23	meshes	mesh	NOUN
ap-6151	286	24	match	match	VERB
ap-6151	286	25	the	the	DET
ap-6151	286	26	reference	reference	NOUN
ap-6151	286	27	solution	solution	NOUN
ap-6151	286	28	well	well	ADV
ap-6151	286	29	,	,	PUNCT
ap-6151	286	30	or	or	CCONJ
ap-6151	286	31	even	even	ADV
ap-6151	286	32	very	very	ADV
ap-6151	286	33	well	well	ADV
ap-6151	286	34	.	.	PUNCT
ap-6151	287	1	the	the	DET
ap-6151	287	2	best	good	ADJ
ap-6151	287	3	solutions	solution	NOUN
ap-6151	287	4	(	(	PUNCT
ap-6151	287	5	the	the	DET
ap-6151	287	6	closest	close	ADJ
ap-6151	287	7	to	to	ADP
ap-6151	287	8	the	the	DET
ap-6151	287	9	reference	reference	NOUN
ap-6151	287	10	solution	solution	NOUN
ap-6151	287	11	)	)	PUNCT
ap-6151	287	12	are	be	AUX
ap-6151	287	13	provided	provide	VERB
ap-6151	287	14	by	by	ADP
ap-6151	287	15	discretization	discretization	NOUN
ap-6151	287	16	space	space	NOUN
ap-6151	287	17	pairs	pair	NOUN
ap-6151	287	18	and	and	CCONJ
ap-6151	287	19	meshes	mesh	NOUN
ap-6151	287	20	s4	s4	VERB
ap-6151	287	21	2×s3	2×s3	NUM
ap-6151	287	22	2	2	NUM
ap-6151	287	23	(	(	PUNCT
ap-6151	287	24	64×64	64×64	NOUN
ap-6151	287	25	)	)	PUNCT
ap-6151	287	26	,	,	PUNCT
ap-6151	287	27	p4	p4	ADJ
ap-6151	287	28	/	/	SYM
ap-6151	287	29	p3	p3	PROPN
ap-6151	287	30	(	(	PUNCT
ap-6151	287	31	64×	64×	NOUN
ap-6151	287	32	64	64	NUM
ap-6151	287	33	)	)	PUNCT
ap-6151	287	34	and	and	CCONJ
ap-6151	287	35	p2	p2	PROPN
ap-6151	287	36	/	/	SYM
ap-6151	287	37	p1	p1	NOUN
ap-6151	287	38	(	(	PUNCT
ap-6151	287	39	128×	128×	NUM
ap-6151	287	40	128	128	NUM
ap-6151	287	41	)	)	PUNCT
ap-6151	287	42	.	.	PUNCT
ap-6151	288	1	however	however	ADV
ap-6151	288	2	,	,	PUNCT
ap-6151	288	3	let	let	VERB
ap-6151	288	4	us	we	PRON
ap-6151	288	5	emphasize	emphasize	VERB
ap-6151	288	6	that	that	SCONJ
ap-6151	288	7	the	the	DET
ap-6151	288	8	latter	latter	ADJ
ap-6151	288	9	two	two	NUM
ap-6151	288	10	cases	case	NOUN
ap-6151	288	11	have	have	VERB
ap-6151	288	12	about	about	ADV
ap-6151	288	13	four	four	NUM
ap-6151	288	14	times	time	NOUN
ap-6151	288	15	more	more	ADJ
ap-6151	288	16	degrees	degree	NOUN
ap-6151	288	17	of	of	ADP
ap-6151	288	18	freedom	freedom	NOUN
ap-6151	288	19	(	(	PUNCT
ap-6151	288	20	dofs	dofs	NOUN
ap-6151	288	21	)	)	PUNCT
ap-6151	288	22	than	than	ADP
ap-6151	288	23	the	the	DET
ap-6151	288	24	former	former	ADJ
ap-6151	288	25	one	one	NUM
ap-6151	288	26	which	which	PRON
ap-6151	288	27	indicates	indicate	VERB
ap-6151	288	28	the	the	DET
ap-6151	288	29	advantage	advantage	NOUN
ap-6151	288	30	of	of	ADP
ap-6151	288	31	b	b	NOUN
ap-6151	288	32	-	-	PUNCT
ap-6151	288	33	spline	spline	ADJ
ap-6151	288	34	discretization	discretization	NOUN
ap-6151	288	35	spaces	space	NOUN
ap-6151	288	36	and	and	CCONJ
ap-6151	288	37	isogeometric	isogeometric	ADJ
ap-6151	288	38	analysis	analysis	NOUN
ap-6151	288	39	in	in	ADP
ap-6151	288	40	this	this	DET
ap-6151	288	41	40	40	NUM
ap-6151	288	42	vol	vol	NOUN
ap-6151	288	43	.	.	PUNCT
ap-6151	289	1	61	61	NUM
ap-6151	289	2	special	special	ADJ
ap-6151	289	3	issue/2021	issue/2021	NOUN
ap-6151	289	4	numerical	numerical	PROPN
ap-6151	289	5	simulation	simulation	PROPN
ap-6151	289	6	of	of	ADP
ap-6151	289	7	lid	lid	NOUN
ap-6151	289	8	-	-	PUNCT
ap-6151	289	9	driven	drive	VERB
ap-6151	289	10	cavity	cavity	NOUN
ap-6151	289	11	flow	flow	NOUN
ap-6151	289	12	by	by	ADP
ap-6151	289	13	isogeometric	isogeometric	ADJ
ap-6151	289	14	analysis	analysis	NOUN
ap-6151	289	15	(	(	PUNCT
ap-6151	289	16	a	a	NOUN
ap-6151	289	17	)	)	PUNCT
ap-6151	289	18	.	.	PUNCT
ap-6151	290	1	(	(	PUNCT
ap-6151	290	2	b	b	NOUN
ap-6151	290	3	)	)	PUNCT
ap-6151	290	4	.	.	PUNCT
ap-6151	291	1	(	(	PUNCT
ap-6151	291	2	c	c	X
ap-6151	291	3	)	)	PUNCT
ap-6151	291	4	.	.	PUNCT
ap-6151	292	1	figure	figure	NOUN
ap-6151	292	2	5	5	NUM
ap-6151	292	3	.	.	PUNCT
ap-6151	292	4	comparison	comparison	NOUN
ap-6151	292	5	ux	ux	PROPN
ap-6151	292	6	-	-	PUNCT
ap-6151	292	7	velocity	velocity	NOUN
ap-6151	292	8	profiles	profile	NOUN
ap-6151	292	9	for	for	ADP
ap-6151	292	10	vertical	vertical	ADJ
ap-6151	292	11	cross	cross	NOUN
ap-6151	292	12	-	-	NOUN
ap-6151	292	13	sections	section	NOUN
ap-6151	292	14	of	of	ADP
ap-6151	292	15	the	the	DET
ap-6151	292	16	computational	computational	ADJ
ap-6151	292	17	domain	domain	NOUN
ap-6151	292	18	at	at	ADP
ap-6151	292	19	x	x	X
ap-6151	292	20	=	=	SYM
ap-6151	292	21	0.1	0.1	NUM
ap-6151	292	22	(	(	PUNCT
ap-6151	292	23	a	a	NOUN
ap-6151	292	24	)	)	PUNCT
ap-6151	292	25	,	,	PUNCT
ap-6151	292	26	x	x	X
ap-6151	292	27	=	=	SYM
ap-6151	292	28	0.5	0.5	NUM
ap-6151	292	29	(	(	PUNCT
ap-6151	292	30	b	b	NOUN
ap-6151	292	31	)	)	PUNCT
ap-6151	292	32	,	,	PUNCT
ap-6151	292	33	x	x	PUNCT
ap-6151	293	1	=	=	SYM
ap-6151	293	2	0.95	0.95	NUM
ap-6151	293	3	(	(	PUNCT
ap-6151	293	4	c	c	NOUN
ap-6151	293	5	)	)	PUNCT
ap-6151	293	6	obtained	obtain	VERB
ap-6151	293	7	for	for	ADP
ap-6151	293	8	different	different	ADJ
ap-6151	293	9	discretization	discretization	NOUN
ap-6151	293	10	spaces	space	NOUN
ap-6151	293	11	,	,	PUNCT
ap-6151	293	12	where	where	SCONJ
ap-6151	293	13	s20s10	s20s10	NOUN
ap-6151	293	14	stands	stand	VERB
ap-6151	293	15	for	for	ADP
ap-6151	293	16	s2	s2	PROPN
ap-6151	293	17	0	0	NUM
ap-6151	293	18	×	×	PROPN
ap-6151	293	19	s1	s1	PROPN
ap-6151	293	20	0	0	NUM
ap-6151	293	21	,	,	PUNCT
ap-6151	293	22	s40s30	s40s30	NOUN
ap-6151	293	23	for	for	ADP
ap-6151	293	24	s4	s4	PROPN
ap-6151	293	25	0	0	NUM
ap-6151	293	26	×	×	PROPN
ap-6151	293	27	s3	s3	PROPN
ap-6151	293	28	0	0	PUNCT
ap-6151	293	29	and	and	CCONJ
ap-6151	293	30	s42s32	s42s32	NOUN
ap-6151	293	31	for	for	ADP
ap-6151	293	32	s4	s4	PROPN
ap-6151	293	33	2	2	NUM
ap-6151	293	34	×	×	NOUN
ap-6151	293	35	s3	s3	PROPN
ap-6151	293	36	2	2	NUM
ap-6151	293	37	.	.	PUNCT
ap-6151	294	1	41	41	NUM
ap-6151	294	2	b.	b.	PROPN
ap-6151	294	3	bastl	bastl	PROPN
ap-6151	294	4	,	,	PUNCT
ap-6151	294	5	m.	m.	NOUN
ap-6151	294	6	brandner	brandner	NOUN
ap-6151	294	7	,	,	PUNCT
ap-6151	294	8	j.	j.	PROPN
ap-6151	294	9	egermaier	egermaier	PROPN
ap-6151	294	10	et	et	PROPN
ap-6151	294	11	al	al	PROPN
ap-6151	294	12	.	.	PROPN
ap-6151	295	1	acta	acta	PROPN
ap-6151	295	2	polytechnica	polytechnica	PROPN
ap-6151	295	3	(	(	PUNCT
ap-6151	295	4	a	a	NOUN
ap-6151	295	5	)	)	PUNCT
ap-6151	295	6	.	.	PUNCT
ap-6151	296	1	(	(	PUNCT
ap-6151	296	2	b	b	NOUN
ap-6151	296	3	)	)	PUNCT
ap-6151	296	4	.	.	PUNCT
ap-6151	297	1	(	(	PUNCT
ap-6151	297	2	c	c	X
ap-6151	297	3	)	)	PUNCT
ap-6151	297	4	.	.	PUNCT
ap-6151	298	1	figure	figure	VERB
ap-6151	298	2	6	6	NUM
ap-6151	298	3	.	.	PUNCT
ap-6151	298	4	comparison	comparison	NOUN
ap-6151	298	5	uy	uy	PROPN
ap-6151	298	6	-	-	PUNCT
ap-6151	298	7	velocity	velocity	NOUN
ap-6151	298	8	profiles	profile	NOUN
ap-6151	298	9	for	for	ADP
ap-6151	298	10	horizontal	horizontal	ADJ
ap-6151	298	11	cross	cros	NOUN
ap-6151	298	12	-	-	NOUN
ap-6151	298	13	sections	section	NOUN
ap-6151	298	14	of	of	ADP
ap-6151	298	15	the	the	DET
ap-6151	298	16	computational	computational	ADJ
ap-6151	298	17	domain	domain	NOUN
ap-6151	298	18	at	at	ADP
ap-6151	298	19	y	y	PROPN
ap-6151	298	20	=	=	SYM
ap-6151	298	21	0.1	0.1	NUM
ap-6151	298	22	(	(	PUNCT
ap-6151	298	23	a	a	NOUN
ap-6151	298	24	)	)	PUNCT
ap-6151	298	25	,	,	PUNCT
ap-6151	298	26	y	y	PROPN
ap-6151	298	27	=	=	SYM
ap-6151	298	28	0.5	0.5	NUM
ap-6151	298	29	(	(	PUNCT
ap-6151	298	30	b	b	NOUN
ap-6151	298	31	)	)	PUNCT
ap-6151	298	32	,	,	PUNCT
ap-6151	298	33	y	y	PROPN
ap-6151	298	34	=	=	SYM
ap-6151	298	35	0.99	0.99	NUM
ap-6151	298	36	(	(	PUNCT
ap-6151	298	37	c	c	NOUN
ap-6151	298	38	)	)	PUNCT
ap-6151	298	39	obtained	obtain	VERB
ap-6151	298	40	for	for	ADP
ap-6151	298	41	different	different	ADJ
ap-6151	298	42	discretization	discretization	NOUN
ap-6151	298	43	spaces	space	NOUN
ap-6151	298	44	,	,	PUNCT
ap-6151	298	45	where	where	SCONJ
ap-6151	298	46	s20s10	s20s10	NOUN
ap-6151	298	47	stands	stand	VERB
ap-6151	298	48	for	for	ADP
ap-6151	298	49	s2	s2	PROPN
ap-6151	298	50	0	0	NUM
ap-6151	298	51	×	×	PROPN
ap-6151	298	52	s1	s1	PROPN
ap-6151	298	53	0	0	NUM
ap-6151	298	54	,	,	PUNCT
ap-6151	298	55	s40s30	s40s30	NOUN
ap-6151	298	56	for	for	ADP
ap-6151	298	57	s4	s4	PROPN
ap-6151	298	58	0	0	NUM
ap-6151	298	59	×	×	PROPN
ap-6151	298	60	s3	s3	PROPN
ap-6151	298	61	0	0	PUNCT
ap-6151	298	62	and	and	CCONJ
ap-6151	298	63	s42s32	s42s32	NOUN
ap-6151	298	64	for	for	ADP
ap-6151	298	65	s4	s4	PROPN
ap-6151	298	66	2	2	NUM
ap-6151	298	67	×	×	NOUN
ap-6151	298	68	s3	s3	PROPN
ap-6151	298	69	2	2	NUM
ap-6151	298	70	.	.	PUNCT
ap-6151	299	1	42	42	NUM
ap-6151	299	2	vol	vol	NOUN
ap-6151	299	3	.	.	PUNCT
ap-6151	300	1	61	61	NUM
ap-6151	300	2	special	special	ADJ
ap-6151	300	3	issue/2021	issue/2021	NOUN
ap-6151	300	4	numerical	numerical	PROPN
ap-6151	300	5	simulation	simulation	PROPN
ap-6151	300	6	of	of	ADP
ap-6151	300	7	lid	lid	NOUN
ap-6151	300	8	-	-	PUNCT
ap-6151	300	9	driven	drive	VERB
ap-6151	300	10	cavity	cavity	NOUN
ap-6151	300	11	flow	flow	NOUN
ap-6151	300	12	by	by	ADP
ap-6151	300	13	isogeometric	isogeometric	ADJ
ap-6151	300	14	analysis	analysis	NOUN
ap-6151	300	15	ux	ux	INTJ
ap-6151	300	16	at	at	ADP
ap-6151	300	17	x	x	X
ap-6151	300	18	=	=	SYM
ap-6151	300	19	0.1	0.1	NUM
ap-6151	300	20	ux	ux	NOUN
ap-6151	300	21	at	at	ADP
ap-6151	300	22	x	x	X
ap-6151	300	23	=	=	SYM
ap-6151	300	24	0.5	0.5	NUM
ap-6151	300	25	uy	uy	NOUN
ap-6151	300	26	at	at	ADP
ap-6151	300	27	y	y	PROPN
ap-6151	300	28	=	=	PROPN
ap-6151	300	29	0.1	0.1	NUM
ap-6151	300	30	uy	uy	NOUN
ap-6151	300	31	at	at	ADP
ap-6151	300	32	y	y	PROPN
ap-6151	300	33	=	=	SYM
ap-6151	300	34	0.5	0.5	NUM
ap-6151	300	35	s2	s2	NOUN
ap-6151	300	36	0×s1	0×s1	NUM
ap-6151	300	37	0	0	PUNCT
ap-6151	301	1	(	(	PUNCT
ap-6151	301	2	64×	64×	NOUN
ap-6151	301	3	64	64	NUM
ap-6151	301	4	)	)	PUNCT
ap-6151	301	5	2.1	2.1	NUM
ap-6151	301	6	·	·	SYM
ap-6151	301	7	10−2	10−2	NUM
ap-6151	301	8	2.3	2.3	NUM
ap-6151	301	9	·	·	SYM
ap-6151	301	10	10−4	10−4	NUM
ap-6151	301	11	4.1	4.1	NUM
ap-6151	301	12	·	·	SYM
ap-6151	301	13	10−5	10−5	NUM
ap-6151	301	14	2.9	2.9	NUM
ap-6151	301	15	·	·	SYM
ap-6151	301	16	10−4	10−4	NUM
ap-6151	301	17	s2	s2	NOUN
ap-6151	301	18	0×s1	0×s1	PROPN
ap-6151	301	19	0	0	NUM
ap-6151	301	20	supg	supg	NOUN
ap-6151	301	21	(	(	PUNCT
ap-6151	301	22	64×	64×	NOUN
ap-6151	301	23	64	64	NUM
ap-6151	301	24	)	)	PUNCT
ap-6151	301	25	6.8	6.8	NUM
ap-6151	301	26	·	·	SYM
ap-6151	301	27	10−3	10−3	NUM
ap-6151	301	28	3.9	3.9	NUM
ap-6151	301	29	·	·	SYM
ap-6151	301	30	10−5	10−5	NUM
ap-6151	301	31	1.2	1.2	NUM
ap-6151	301	32	·	·	SYM
ap-6151	301	33	10−5	10−5	NUM
ap-6151	301	34	6.5	6.5	NUM
ap-6151	301	35	·	·	SYM
ap-6151	301	36	10−5	10−5	NUM
ap-6151	301	37	s4	s4	PROPN
ap-6151	301	38	0	0	NUM
ap-6151	301	39	×	×	PROPN
ap-6151	301	40	s3	s3	PROPN
ap-6151	301	41	0	0	NUM
ap-6151	301	42	(	(	PUNCT
ap-6151	301	43	32×	32×	NUM
ap-6151	301	44	32	32	NUM
ap-6151	301	45	)	)	PUNCT
ap-6151	301	46	2.4	2.4	NUM
ap-6151	301	47	·	·	SYM
ap-6151	301	48	10−3	10−3	NUM
ap-6151	301	49	3.4	3.4	NUM
ap-6151	301	50	·	·	SYM
ap-6151	301	51	10−5	10−5	NUM
ap-6151	301	52	6.9	6.9	NUM
ap-6151	301	53	·	·	SYM
ap-6151	301	54	10−7	10−7	NUM
ap-6151	301	55	1.2	1.2	NUM
ap-6151	301	56	·	·	SYM
ap-6151	301	57	10−5	10−5	NUM
ap-6151	301	58	s4	s4	PROPN
ap-6151	301	59	2	2	NUM
ap-6151	301	60	×	×	NOUN
ap-6151	301	61	s3	s3	PROPN
ap-6151	301	62	2	2	NUM
ap-6151	301	63	(	(	PUNCT
ap-6151	301	64	64×	64×	NOUN
ap-6151	301	65	64	64	NUM
ap-6151	301	66	)	)	PUNCT
ap-6151	301	67	5.1	5.1	NUM
ap-6151	301	68	·	·	PUNCT
ap-6151	301	69	10−6	10−6	NUM
ap-6151	301	70	3.8	3.8	NUM
ap-6151	301	71	·	·	SYM
ap-6151	301	72	10−5	10−5	NUM
ap-6151	301	73	6.5	6.5	NUM
ap-6151	301	74	·	·	PUNCT
ap-6151	301	75	10−8	10−8	NUM
ap-6151	301	76	2.4	2.4	NUM
ap-6151	301	77	·	·	SYM
ap-6151	301	78	10−6	10−6	NUM
ap-6151	301	79	p2	p2	NOUN
ap-6151	301	80	/	/	SYM
ap-6151	301	81	p1	p1	PROPN
ap-6151	301	82	(	(	PUNCT
ap-6151	301	83	64×	64×	NOUN
ap-6151	301	84	64	64	NUM
ap-6151	301	85	)	)	PUNCT
ap-6151	301	86	2.0	2.0	NUM
ap-6151	301	87	·	·	SYM
ap-6151	301	88	10−4	10−4	NUM
ap-6151	301	89	3.1	3.1	NUM
ap-6151	301	90	·	·	SYM
ap-6151	301	91	10−4	10−4	NUM
ap-6151	301	92	8.3	8.3	NUM
ap-6151	301	93	·	·	SYM
ap-6151	301	94	10−4	10−4	NUM
ap-6151	301	95	4.9	4.9	NUM
ap-6151	301	96	·	·	SYM
ap-6151	301	97	10−4	10−4	NUM
ap-6151	301	98	p2	p2	NOUN
ap-6151	301	99	/	/	SYM
ap-6151	301	100	p1	p1	NOUN
ap-6151	301	101	(	(	PUNCT
ap-6151	301	102	128×	128×	NUM
ap-6151	301	103	128	128	NUM
ap-6151	301	104	)	)	PUNCT
ap-6151	301	105	2.5	2.5	NUM
ap-6151	301	106	·	·	SYM
ap-6151	301	107	10−5	10−5	NUM
ap-6151	301	108	1.2	1.2	NUM
ap-6151	301	109	·	·	PUNCT
ap-6151	301	110	10−6	10−6	NUM
ap-6151	301	111	9.0	9.0	NUM
ap-6151	301	112	·	·	SYM
ap-6151	301	113	10−8	10−8	NUM
ap-6151	301	114	1.3	1.3	NUM
ap-6151	301	115	·	·	SYM
ap-6151	301	116	10−6	10−6	NUM
ap-6151	301	117	p4	p4	ADJ
ap-6151	301	118	/	/	SYM
ap-6151	301	119	p3	p3	PROPN
ap-6151	301	120	(	(	PUNCT
ap-6151	301	121	32×	32×	NUM
ap-6151	301	122	32	32	NUM
ap-6151	301	123	)	)	PUNCT
ap-6151	301	124	1.2	1.2	NUM
ap-6151	301	125	·	·	SYM
ap-6151	301	126	10−4	10−4	NUM
ap-6151	301	127	4.1	4.1	NUM
ap-6151	301	128	·	·	SYM
ap-6151	301	129	10−4	10−4	NUM
ap-6151	301	130	2.7	2.7	NUM
ap-6151	301	131	·	·	SYM
ap-6151	301	132	10−5	10−5	NUM
ap-6151	301	133	6.4	6.4	NUM
ap-6151	301	134	·	·	SYM
ap-6151	301	135	10−4	10−4	NUM
ap-6151	301	136	p4	p4	ADJ
ap-6151	301	137	/	/	SYM
ap-6151	301	138	p3	p3	PROPN
ap-6151	301	139	(	(	PUNCT
ap-6151	301	140	64×	64×	NOUN
ap-6151	301	141	64	64	NUM
ap-6151	301	142	)	)	PUNCT
ap-6151	301	143	3.1	3.1	NUM
ap-6151	301	144	·	·	PUNCT
ap-6151	301	145	10−6	10−6	NUM
ap-6151	301	146	1.7	1.7	NUM
ap-6151	301	147	·	·	PUNCT
ap-6151	301	148	10−6	10−6	NUM
ap-6151	301	149	8.8	8.8	NUM
ap-6151	301	150	·	·	PUNCT
ap-6151	301	151	10−8	10−8	NUM
ap-6151	301	152	1.9	1.9	NUM
ap-6151	301	153	·	·	SYM
ap-6151	301	154	10−6	10−6	NUM
ap-6151	301	155	table	table	NOUN
ap-6151	301	156	3	3	NUM
ap-6151	301	157	.	.	PUNCT
ap-6151	301	158	residual	residual	ADJ
ap-6151	301	159	sum	sum	NOUN
ap-6151	301	160	of	of	ADP
ap-6151	301	161	squares	square	NOUN
ap-6151	301	162	obtained	obtain	VERB
ap-6151	301	163	for	for	ADP
ap-6151	301	164	studied	study	VERB
ap-6151	301	165	discretization	discretization	NOUN
ap-6151	301	166	space	space	NOUN
ap-6151	301	167	pairs	pair	NOUN
ap-6151	301	168	and	and	CCONJ
ap-6151	301	169	the	the	DET
ap-6151	301	170	corresponding	corresponding	ADJ
ap-6151	301	171	reference	reference	NOUN
ap-6151	301	172	solution	solution	NOUN
ap-6151	301	173	at	at	ADP
ap-6151	301	174	selected	select	VERB
ap-6151	301	175	cross	cross	NOUN
ap-6151	301	176	-	-	NOUN
ap-6151	301	177	sections	section	NOUN
ap-6151	301	178	through	through	ADP
ap-6151	301	179	the	the	DET
ap-6151	301	180	computational	computational	ADJ
ap-6151	301	181	domain	domain	NOUN
ap-6151	301	182	.	.	PUNCT
ap-6151	302	1	studied	study	VERB
ap-6151	302	2	case	case	NOUN
ap-6151	302	3	.	.	PUNCT
ap-6151	303	1	to	to	PART
ap-6151	303	2	have	have	VERB
ap-6151	303	3	a	a	DET
ap-6151	303	4	fair	fair	ADJ
ap-6151	303	5	comparison	comparison	NOUN
ap-6151	303	6	of	of	ADP
ap-6151	303	7	higher	high	ADJ
ap-6151	303	8	degree	degree	NOUN
ap-6151	303	9	finite	finite	PROPN
ap-6151	303	10	element	element	NOUN
ap-6151	303	11	discretization	discretization	NOUN
ap-6151	303	12	space	space	NOUN
ap-6151	303	13	pairs	pair	NOUN
ap-6151	303	14	with	with	ADP
ap-6151	303	15	b	b	X
ap-6151	303	16	-	-	PUNCT
ap-6151	303	17	spline	spline	ADJ
ap-6151	303	18	discretization	discretization	NOUN
ap-6151	303	19	space	space	NOUN
ap-6151	303	20	pairs	pair	NOUN
ap-6151	303	21	,	,	PUNCT
ap-6151	303	22	s4	s4	PROPN
ap-6151	303	23	2	2	NUM
ap-6151	303	24	×	×	NOUN
ap-6151	303	25	s3	s3	PROPN
ap-6151	303	26	2	2	NUM
ap-6151	303	27	(	(	PUNCT
ap-6151	303	28	64×	64×	NOUN
ap-6151	303	29	64	64	NUM
ap-6151	303	30	)	)	PUNCT
ap-6151	303	31	has	have	VERB
ap-6151	303	32	to	to	PART
ap-6151	303	33	be	be	AUX
ap-6151	303	34	compared	compare	VERB
ap-6151	303	35	with	with	ADP
ap-6151	303	36	p4	p4	ADJ
ap-6151	303	37	/	/	SYM
ap-6151	303	38	p3	p3	PROPN
ap-6151	303	39	(	(	PUNCT
ap-6151	303	40	32×32	32×32	NUM
ap-6151	303	41	)	)	PUNCT
ap-6151	303	42	because	because	SCONJ
ap-6151	303	43	they	they	PRON
ap-6151	303	44	have	have	VERB
ap-6151	303	45	the	the	DET
ap-6151	303	46	similar	similar	ADJ
ap-6151	303	47	number	number	NOUN
ap-6151	303	48	of	of	ADP
ap-6151	303	49	dofs	dof	NOUN
ap-6151	303	50	(	(	PUNCT
ap-6151	303	51	see	see	VERB
ap-6151	303	52	table	table	NOUN
ap-6151	303	53	1	1	NUM
ap-6151	303	54	and	and	CCONJ
ap-6151	303	55	2	2	NUM
ap-6151	303	56	)	)	PUNCT
ap-6151	303	57	.	.	PUNCT
ap-6151	304	1	looking	look	VERB
ap-6151	304	2	at	at	ADP
ap-6151	304	3	these	these	DET
ap-6151	304	4	two	two	NUM
ap-6151	304	5	cases	case	NOUN
ap-6151	304	6	,	,	PUNCT
ap-6151	304	7	p4	p4	ADJ
ap-6151	304	8	/	/	SYM
ap-6151	304	9	p3	p3	PROPN
ap-6151	304	10	(	(	PUNCT
ap-6151	304	11	32×	32×	NUM
ap-6151	304	12	32	32	NUM
ap-6151	304	13	)	)	PUNCT
ap-6151	304	14	gives	give	VERB
ap-6151	304	15	a	a	DET
ap-6151	304	16	significantly	significantly	ADV
ap-6151	304	17	worse	bad	ADJ
ap-6151	304	18	solution	solution	NOUN
ap-6151	304	19	(	(	PUNCT
ap-6151	304	20	more	more	ADV
ap-6151	304	21	distant	distant	ADJ
ap-6151	304	22	from	from	ADP
ap-6151	304	23	the	the	DET
ap-6151	304	24	reference	reference	NOUN
ap-6151	304	25	solution	solution	NOUN
ap-6151	304	26	)	)	PUNCT
ap-6151	304	27	than	than	ADP
ap-6151	304	28	s4	s4	PROPN
ap-6151	304	29	2	2	NUM
ap-6151	304	30	×	×	NOUN
ap-6151	304	31	s3	s3	PROPN
ap-6151	304	32	2	2	NUM
ap-6151	304	33	(	(	PUNCT
ap-6151	304	34	64×	64×	NOUN
ap-6151	304	35	64	64	NUM
ap-6151	304	36	)	)	PUNCT
ap-6151	304	37	.	.	PUNCT
ap-6151	305	1	further	far	ADV
ap-6151	305	2	,	,	PUNCT
ap-6151	305	3	s4	s4	PROPN
ap-6151	305	4	0	0	NUM
ap-6151	305	5	×	×	PROPN
ap-6151	305	6	s3	s3	PROPN
ap-6151	305	7	0	0	NUM
ap-6151	305	8	(	(	PUNCT
ap-6151	305	9	32×	32×	NUM
ap-6151	305	10	32	32	NUM
ap-6151	305	11	)	)	PUNCT
ap-6151	305	12	,	,	PUNCT
ap-6151	305	13	which	which	PRON
ap-6151	305	14	is	be	AUX
ap-6151	305	15	similar	similar	ADJ
ap-6151	305	16	to	to	ADP
ap-6151	305	17	the	the	DET
ap-6151	305	18	case	case	NOUN
ap-6151	305	19	p4	p4	ADJ
ap-6151	305	20	/	/	SYM
ap-6151	305	21	p3	p3	PROPN
ap-6151	305	22	(	(	PUNCT
ap-6151	305	23	32×32	32×32	NUM
ap-6151	305	24	)	)	PUNCT
ap-6151	305	25	regarding	regard	VERB
ap-6151	305	26	the	the	DET
ap-6151	305	27	number	number	NOUN
ap-6151	305	28	of	of	ADP
ap-6151	305	29	dofs	dof	NOUN
ap-6151	305	30	,	,	PUNCT
ap-6151	305	31	degree	degree	NOUN
ap-6151	305	32	of	of	ADP
ap-6151	305	33	discretization	discretization	NOUN
ap-6151	305	34	spaces	space	NOUN
ap-6151	305	35	and	and	CCONJ
ap-6151	305	36	continuity	continuity	NOUN
ap-6151	305	37	of	of	ADP
ap-6151	305	38	the	the	DET
ap-6151	305	39	basis	basis	NOUN
ap-6151	305	40	functions	function	NOUN
ap-6151	305	41	,	,	PUNCT
ap-6151	305	42	behaves	behave	VERB
ap-6151	305	43	better	well	ADV
ap-6151	305	44	than	than	ADP
ap-6151	305	45	p4	p4	ADJ
ap-6151	305	46	/	/	SYM
ap-6151	305	47	p3	p3	PROPN
ap-6151	305	48	(	(	PUNCT
ap-6151	305	49	32×	32×	NUM
ap-6151	305	50	32	32	NUM
ap-6151	305	51	)	)	PUNCT
ap-6151	305	52	but	but	CCONJ
ap-6151	305	53	worse	bad	ADJ
ap-6151	305	54	than	than	ADP
ap-6151	305	55	s4	s4	VERB
ap-6151	305	56	2	2	NUM
ap-6151	305	57	×s3	×s3	NOUN
ap-6151	305	58	2	2	NUM
ap-6151	305	59	(	(	PUNCT
ap-6151	305	60	64×	64×	NOUN
ap-6151	305	61	64	64	NUM
ap-6151	305	62	)	)	PUNCT
ap-6151	305	63	,	,	PUNCT
ap-6151	305	64	which	which	PRON
ap-6151	305	65	has	have	VERB
ap-6151	305	66	also	also	ADV
ap-6151	305	67	the	the	DET
ap-6151	305	68	similar	similar	ADJ
ap-6151	305	69	number	number	NOUN
ap-6151	305	70	of	of	ADP
ap-6151	305	71	dofs	dof	NOUN
ap-6151	305	72	.	.	PUNCT
ap-6151	306	1	to	to	PART
ap-6151	306	2	quantify	quantify	VERB
ap-6151	306	3	these	these	DET
ap-6151	306	4	conclusions	conclusion	NOUN
ap-6151	306	5	,	,	PUNCT
ap-6151	306	6	we	we	PRON
ap-6151	306	7	also	also	ADV
ap-6151	306	8	computed	compute	VERB
ap-6151	306	9	residual	residual	ADJ
ap-6151	306	10	sum	sum	NOUN
ap-6151	306	11	of	of	ADP
ap-6151	306	12	squares	square	NOUN
ap-6151	306	13	(	(	PUNCT
ap-6151	306	14	rss	rss	NOUN
ap-6151	306	15	)	)	PUNCT
ap-6151	306	16	of	of	ADP
ap-6151	306	17	the	the	DET
ap-6151	306	18	obtained	obtain	VERB
ap-6151	306	19	solutions	solution	NOUN
ap-6151	306	20	and	and	CCONJ
ap-6151	306	21	the	the	DET
ap-6151	306	22	reference	reference	NOUN
ap-6151	306	23	solutions	solution	NOUN
ap-6151	306	24	.	.	PUNCT
ap-6151	307	1	for	for	ADP
ap-6151	307	2	selected	select	VERB
ap-6151	307	3	cross	cross	NOUN
ap-6151	307	4	-	-	NOUN
ap-6151	307	5	sections	section	NOUN
ap-6151	307	6	,	,	PUNCT
ap-6151	307	7	the	the	DET
ap-6151	307	8	results	result	NOUN
ap-6151	307	9	of	of	ADP
ap-6151	307	10	rss	rss	NOUN
ap-6151	307	11	are	be	AUX
ap-6151	307	12	demonstrated	demonstrate	VERB
ap-6151	307	13	in	in	ADP
ap-6151	307	14	table	table	NOUN
ap-6151	307	15	3	3	NUM
ap-6151	307	16	and	and	CCONJ
ap-6151	307	17	they	they	PRON
ap-6151	307	18	confirm	confirm	VERB
ap-6151	307	19	the	the	DET
ap-6151	307	20	above	above	ADJ
ap-6151	307	21	mentioned	mention	VERB
ap-6151	307	22	conclusions	conclusion	NOUN
ap-6151	307	23	.	.	PUNCT
ap-6151	308	1	the	the	DET
ap-6151	308	2	only	only	ADJ
ap-6151	308	3	exception	exception	NOUN
ap-6151	308	4	of	of	ADP
ap-6151	308	5	the	the	DET
ap-6151	308	6	discussion	discussion	NOUN
ap-6151	308	7	presented	present	VERB
ap-6151	308	8	in	in	ADP
ap-6151	308	9	the	the	DET
ap-6151	308	10	previous	previous	ADJ
ap-6151	308	11	paragraph	paragraph	NOUN
ap-6151	308	12	is	be	AUX
ap-6151	308	13	the	the	DET
ap-6151	308	14	uy	uy	NOUN
ap-6151	308	15	-	-	PUNCT
ap-6151	308	16	velocity	velocity	NOUN
ap-6151	308	17	profile	profile	NOUN
ap-6151	308	18	along	along	ADP
ap-6151	308	19	a	a	DET
ap-6151	308	20	horizontal	horizontal	ADJ
ap-6151	308	21	cross	cross	NOUN
ap-6151	308	22	-	-	NOUN
ap-6151	308	23	section	section	NOUN
ap-6151	308	24	at	at	ADP
ap-6151	308	25	y	y	PROPN
ap-6151	308	26	=	=	PROPN
ap-6151	308	27	0.99	0.99	NUM
ap-6151	308	28	,	,	PUNCT
ap-6151	308	29	see	see	VERB
ap-6151	308	30	figure	figure	NOUN
ap-6151	308	31	6(c	6(c	NUM
ap-6151	308	32	)	)	PUNCT
ap-6151	308	33	.	.	PUNCT
ap-6151	309	1	near	near	ADP
ap-6151	309	2	the	the	DET
ap-6151	309	3	upper	upper	ADJ
ap-6151	309	4	right	right	ADJ
ap-6151	309	5	corner	corner	NOUN
ap-6151	309	6	of	of	ADP
ap-6151	309	7	the	the	DET
ap-6151	309	8	computational	computational	ADJ
ap-6151	309	9	domain	domain	NOUN
ap-6151	309	10	(	(	PUNCT
ap-6151	309	11	right	right	ADJ
ap-6151	309	12	part	part	NOUN
ap-6151	309	13	of	of	ADP
ap-6151	309	14	figure	figure	NOUN
ap-6151	309	15	6(c	6(c	NUM
ap-6151	309	16	)	)	PUNCT
ap-6151	309	17	)	)	PUNCT
ap-6151	309	18	,	,	PUNCT
ap-6151	309	19	the	the	DET
ap-6151	309	20	solutions	solution	NOUN
ap-6151	309	21	obtained	obtain	VERB
ap-6151	309	22	for	for	ADP
ap-6151	309	23	b	b	NOUN
ap-6151	309	24	-	-	PUNCT
ap-6151	309	25	spline	spline	ADJ
ap-6151	309	26	discretization	discretization	NOUN
ap-6151	309	27	space	space	NOUN
ap-6151	309	28	pairs	pair	NOUN
ap-6151	309	29	strongly	strongly	ADV
ap-6151	309	30	oscillate	oscillate	VERB
ap-6151	309	31	.	.	PUNCT
ap-6151	310	1	as	as	SCONJ
ap-6151	310	2	the	the	DET
ap-6151	310	3	above	above	ADV
ap-6151	310	4	mentioned	mention	VERB
ap-6151	310	5	cross	cross	NOUN
ap-6151	310	6	-	-	NOUN
ap-6151	310	7	section	section	NOUN
ap-6151	310	8	is	be	AUX
ap-6151	310	9	very	very	ADV
ap-6151	310	10	close	close	ADJ
ap-6151	310	11	to	to	ADP
ap-6151	310	12	the	the	DET
ap-6151	310	13	lid	lid	NOUN
ap-6151	310	14	part	part	NOUN
ap-6151	310	15	of	of	ADP
ap-6151	310	16	the	the	DET
ap-6151	310	17	boundary	boundary	NOUN
ap-6151	310	18	,	,	PUNCT
ap-6151	310	19	these	these	DET
ap-6151	310	20	oscillations	oscillation	NOUN
ap-6151	310	21	are	be	AUX
ap-6151	310	22	caused	cause	VERB
ap-6151	310	23	by	by	ADP
ap-6151	310	24	a	a	DET
ap-6151	310	25	sudden	sudden	ADJ
ap-6151	310	26	change	change	NOUN
ap-6151	310	27	in	in	ADP
ap-6151	310	28	the	the	DET
ap-6151	310	29	boundary	boundary	ADJ
ap-6151	310	30	condition	condition	NOUN
ap-6151	310	31	near	near	ADP
ap-6151	310	32	the	the	DET
ap-6151	310	33	upper	upper	ADJ
ap-6151	310	34	corner	corner	NOUN
ap-6151	310	35	of	of	ADP
ap-6151	310	36	the	the	DET
ap-6151	310	37	computational	computational	ADJ
ap-6151	310	38	domain	domain	NOUN
ap-6151	310	39	and	and	CCONJ
ap-6151	310	40	also	also	ADV
ap-6151	310	41	by	by	ADP
ap-6151	310	42	the	the	DET
ap-6151	310	43	fluid	fluid	ADJ
ap-6151	310	44	flow	flow	NOUN
ap-6151	310	45	striking	strike	VERB
ap-6151	310	46	the	the	DET
ap-6151	310	47	wall	wall	NOUN
ap-6151	310	48	of	of	ADP
ap-6151	310	49	the	the	DET
ap-6151	310	50	cavity	cavity	NOUN
ap-6151	310	51	.	.	PUNCT
ap-6151	311	1	because	because	SCONJ
ap-6151	311	2	of	of	ADP
ap-6151	311	3	that	that	PRON
ap-6151	311	4	,	,	PUNCT
ap-6151	311	5	oscillations	oscillation	NOUN
ap-6151	311	6	can	can	AUX
ap-6151	311	7	be	be	AUX
ap-6151	311	8	expected	expect	VERB
ap-6151	311	9	in	in	ADP
ap-6151	311	10	this	this	DET
ap-6151	311	11	part	part	NOUN
ap-6151	311	12	of	of	ADP
ap-6151	311	13	the	the	DET
ap-6151	311	14	computational	computational	ADJ
ap-6151	311	15	domain	domain	NOUN
ap-6151	311	16	.	.	PUNCT
ap-6151	312	1	one	one	PRON
ap-6151	312	2	can	can	AUX
ap-6151	312	3	see	see	VERB
ap-6151	312	4	that	that	SCONJ
ap-6151	312	5	oscillations	oscillation	NOUN
ap-6151	312	6	of	of	ADP
ap-6151	312	7	the	the	DET
ap-6151	312	8	solution	solution	NOUN
ap-6151	312	9	for	for	ADP
ap-6151	312	10	s4	s4	NOUN
ap-6151	312	11	2×s3	2×s3	NUM
ap-6151	312	12	2	2	NUM
ap-6151	312	13	are	be	AUX
ap-6151	312	14	smaller	small	ADJ
ap-6151	312	15	in	in	ADP
ap-6151	312	16	amplitude	amplitude	NOUN
ap-6151	312	17	than	than	ADP
ap-6151	312	18	for	for	ADP
ap-6151	312	19	s4	s4	NOUN
ap-6151	312	20	0×s3	0×s3	NOUN
ap-6151	312	21	0	0	NUM
ap-6151	312	22	,	,	PUNCT
ap-6151	312	23	but	but	CCONJ
ap-6151	312	24	on	on	ADP
ap-6151	312	25	a	a	DET
ap-6151	312	26	wider	wide	ADJ
ap-6151	312	27	domain	domain	NOUN
ap-6151	312	28	(	(	PUNCT
ap-6151	312	29	which	which	PRON
ap-6151	312	30	is	be	AUX
ap-6151	312	31	caused	cause	VERB
ap-6151	312	32	by	by	ADP
ap-6151	312	33	a	a	DET
ap-6151	312	34	wider	wide	ADJ
ap-6151	312	35	support	support	NOUN
ap-6151	312	36	of	of	ADP
ap-6151	312	37	b	b	NOUN
ap-6151	312	38	-	-	PUNCT
ap-6151	312	39	spline	spline	NOUN
ap-6151	312	40	basis	basis	NOUN
ap-6151	312	41	functions	function	NOUN
ap-6151	312	42	of	of	ADP
ap-6151	312	43	high	high	ADJ
ap-6151	312	44	continuity	continuity	NOUN
ap-6151	312	45	)	)	PUNCT
ap-6151	312	46	.	.	PUNCT
ap-6151	313	1	note	note	VERB
ap-6151	313	2	that	that	SCONJ
ap-6151	313	3	this	this	DET
ap-6151	313	4	behaviour	behaviour	NOUN
ap-6151	313	5	can	can	AUX
ap-6151	313	6	be	be	AUX
ap-6151	313	7	also	also	ADV
ap-6151	313	8	improved	improve	VERB
ap-6151	313	9	and	and	CCONJ
ap-6151	313	10	the	the	DET
ap-6151	313	11	oscillations	oscillation	NOUN
ap-6151	313	12	reduced	reduce	VERB
ap-6151	313	13	by	by	ADP
ap-6151	313	14	considering	consider	VERB
ap-6151	313	15	finer	fine	ADJ
ap-6151	313	16	computational	computational	ADJ
ap-6151	313	17	meshes	mesh	NOUN
ap-6151	313	18	(	(	PUNCT
ap-6151	313	19	at	at	ADP
ap-6151	313	20	least	least	ADJ
ap-6151	313	21	128×128	128×128	NUM
ap-6151	313	22	for	for	ADP
ap-6151	313	23	s4	s4	NOUN
ap-6151	313	24	2×s3	2×s3	NUM
ap-6151	313	25	2	2	NUM
ap-6151	313	26	)	)	PUNCT
ap-6151	313	27	,	,	PUNCT
ap-6151	313	28	by	by	ADP
ap-6151	313	29	local	local	ADJ
ap-6151	313	30	refinement	refinement	NOUN
ap-6151	313	31	near	near	ADP
ap-6151	313	32	the	the	DET
ap-6151	313	33	walls	wall	NOUN
ap-6151	313	34	of	of	ADP
ap-6151	313	35	the	the	DET
ap-6151	313	36	cavity	cavity	NOUN
ap-6151	313	37	or	or	CCONJ
ap-6151	313	38	by	by	ADP
ap-6151	313	39	stabilization	stabilization	NOUN
ap-6151	313	40	of	of	ADP
ap-6151	313	41	the	the	DET
ap-6151	313	42	numerical	numerical	ADJ
ap-6151	313	43	solution	solution	NOUN
ap-6151	313	44	by	by	ADP
ap-6151	313	45	supg	supg	NOUN
ap-6151	313	46	method	method	NOUN
ap-6151	313	47	.	.	PUNCT
ap-6151	314	1	it	it	PRON
ap-6151	314	2	is	be	AUX
ap-6151	314	3	also	also	ADV
ap-6151	314	4	interesting	interesting	ADJ
ap-6151	314	5	that	that	SCONJ
ap-6151	314	6	the	the	DET
ap-6151	314	7	fem	fem	NOUN
ap-6151	314	8	solutions	solution	NOUN
ap-6151	314	9	obtained	obtain	VERB
ap-6151	314	10	by	by	ADP
ap-6151	314	11	fenics	fenic	NOUN
ap-6151	314	12	are	be	AUX
ap-6151	314	13	less	less	ADV
ap-6151	314	14	oscillative	oscillative	ADJ
ap-6151	314	15	for	for	ADP
ap-6151	314	16	comparable	comparable	ADJ
ap-6151	314	17	discretization	discretization	NOUN
ap-6151	314	18	spaces	space	VERB
ap-6151	314	19	.	.	PUNCT
ap-6151	315	1	on	on	ADP
ap-6151	315	2	the	the	DET
ap-6151	315	3	other	other	ADJ
ap-6151	315	4	hand	hand	NOUN
ap-6151	315	5	,	,	PUNCT
ap-6151	315	6	near	near	ADP
ap-6151	315	7	the	the	DET
ap-6151	315	8	upper	upper	ADJ
ap-6151	315	9	left	left	ADJ
ap-6151	315	10	corner	corner	NOUN
ap-6151	315	11	of	of	ADP
ap-6151	315	12	the	the	DET
ap-6151	315	13	computational	computational	ADJ
ap-6151	315	14	domain	domain	NOUN
ap-6151	315	15	(	(	PUNCT
ap-6151	315	16	left	leave	VERB
ap-6151	315	17	part	part	NOUN
ap-6151	315	18	of	of	ADP
ap-6151	315	19	figure	figure	NOUN
ap-6151	315	20	6(c	6(c	NUM
ap-6151	315	21	)	)	PUNCT
ap-6151	315	22	)	)	PUNCT
ap-6151	316	1	the	the	DET
ap-6151	316	2	initial	initial	ADJ
ap-6151	316	3	mesh	mesh	NOUN
ap-6151	316	4	of	of	ADP
ap-6151	316	5	s4	s4	PROPN
ap-6151	316	6	2×s3	2×s3	NUM
ap-6151	316	7	2	2	NUM
ap-6151	316	8	macro	macro	NOUN
ap-6151	316	9	-	-	ADJ
ap-6151	316	10	elements	element	NOUN
ap-6151	316	11	size	size	NOUN
ap-6151	316	12	64×	64×	NOUN
ap-6151	316	13	64	64	NUM
ap-6151	316	14	128×	128×	NUM
ap-6151	316	15	128	128	NUM
ap-6151	316	16	128×	128×	NUM
ap-6151	316	17	128	128	NUM
ap-6151	316	18	–	–	SYM
ap-6151	316	19	149258	149258	NUM
ap-6151	316	20	64×	64×	NOUN
ap-6151	316	21	64	64	NUM
ap-6151	316	22	37770	37770	NUM
ap-6151	316	23	151850	151850	NUM
ap-6151	316	24	32×	32×	NUM
ap-6151	316	25	32	32	NUM
ap-6151	316	26	39082	39082	NUM
ap-6151	316	27	157106	157106	NUM
ap-6151	316	28	16×	16×	NUM
ap-6151	316	29	16	16	NUM
ap-6151	316	30	41778	41778	NUM
ap-6151	316	31	167906	167906	NUM
ap-6151	316	32	8×	8×	ADP
ap-6151	316	33	8	8	NUM
ap-6151	316	34	47458	47458	NUM
ap-6151	316	35	190658	190658	NUM
ap-6151	316	36	4×	4×	NOUN
ap-6151	316	37	4	4	NUM
ap-6151	316	38	59970	59970	NUM
ap-6151	316	39	240770	240770	NUM
ap-6151	316	40	2×	2×	NUM
ap-6151	316	41	2	2	NUM
ap-6151	316	42	89602	89602	NUM
ap-6151	316	43	359426	359426	NUM
ap-6151	316	44	1×	1×	NUM
ap-6151	316	45	1	1	NUM
ap-6151	316	46	167298	167298	NUM
ap-6151	316	47	670466	670466	NUM
ap-6151	316	48	table	table	NOUN
ap-6151	316	49	4	4	NUM
ap-6151	316	50	.	.	PUNCT
ap-6151	316	51	degrees	degree	NOUN
ap-6151	316	52	of	of	ADP
ap-6151	316	53	freedom	freedom	NOUN
ap-6151	316	54	(	(	PUNCT
ap-6151	316	55	dofs	dofs	NOUN
ap-6151	316	56	)	)	PUNCT
ap-6151	316	57	for	for	ADP
ap-6151	316	58	simulations	simulation	NOUN
ap-6151	316	59	in	in	ADP
ap-6151	316	60	an	an	DET
ap-6151	316	61	in	in	ADP
ap-6151	316	62	-	-	PUNCT
ap-6151	316	63	house	house	NOUN
ap-6151	316	64	iga	iga	PROPN
ap-6151	316	65	-	-	PUNCT
ap-6151	316	66	based	base	VERB
ap-6151	316	67	flow	flow	NOUN
ap-6151	316	68	solver	solver	VERB
ap-6151	316	69	with	with	ADP
ap-6151	316	70	riga	riga	ADJ
ap-6151	316	71	discretization	discretization	NOUN
ap-6151	316	72	space	space	NOUN
ap-6151	316	73	pairs	pair	NOUN
ap-6151	316	74	arising	arise	VERB
ap-6151	316	75	from	from	ADP
ap-6151	316	76	s4	s4	PROPN
ap-6151	316	77	2×s3	2×s3	NUM
ap-6151	316	78	2	2	NUM
ap-6151	316	79	.	.	PUNCT
ap-6151	317	1	behaviour	behaviour	NOUN
ap-6151	317	2	of	of	ADP
ap-6151	317	3	the	the	DET
ap-6151	317	4	solutions	solution	NOUN
ap-6151	317	5	significantly	significantly	ADV
ap-6151	317	6	differs	differ	VERB
ap-6151	317	7	from	from	ADP
ap-6151	317	8	the	the	DET
ap-6151	317	9	behaviour	behaviour	NOUN
ap-6151	317	10	near	near	ADP
ap-6151	317	11	the	the	DET
ap-6151	317	12	upper	upper	ADJ
ap-6151	317	13	right	right	ADJ
ap-6151	317	14	corner	corner	NOUN
ap-6151	317	15	.	.	PUNCT
ap-6151	318	1	the	the	DET
ap-6151	318	2	solutions	solution	NOUN
ap-6151	318	3	obtained	obtain	VERB
ap-6151	318	4	by	by	ADP
ap-6151	318	5	fenics	fenic	NOUN
ap-6151	318	6	oscillate	oscillate	VERB
ap-6151	318	7	.	.	PUNCT
ap-6151	319	1	the	the	DET
ap-6151	319	2	solutions	solution	NOUN
ap-6151	319	3	obtained	obtain	VERB
ap-6151	319	4	for	for	ADP
ap-6151	319	5	low	low	ADJ
ap-6151	319	6	continuity	continuity	NOUN
ap-6151	319	7	b	b	NOUN
ap-6151	319	8	-	-	PUNCT
ap-6151	319	9	spline	spline	ADJ
ap-6151	319	10	discretization	discretization	NOUN
ap-6151	319	11	space	space	NOUN
ap-6151	319	12	pairs	pair	NOUN
ap-6151	319	13	(	(	PUNCT
ap-6151	319	14	s2	s2	NOUN
ap-6151	319	15	0×s1	0×s1	NUM
ap-6151	319	16	0	0	NUM
ap-6151	319	17	,	,	PUNCT
ap-6151	319	18	s4	s4	PROPN
ap-6151	319	19	0×s3	0×s3	NUM
ap-6151	319	20	0	0	NUM
ap-6151	319	21	)	)	PUNCT
ap-6151	319	22	also	also	ADV
ap-6151	319	23	oscillate	oscillate	VERB
ap-6151	319	24	but	but	CCONJ
ap-6151	319	25	less	less	ADJ
ap-6151	319	26	than	than	ADP
ap-6151	319	27	fenics	fenic	NOUN
ap-6151	319	28	solutions	solution	NOUN
ap-6151	319	29	.	.	PUNCT
ap-6151	320	1	even	even	ADV
ap-6151	320	2	stabilization	stabilization	NOUN
ap-6151	320	3	of	of	ADP
ap-6151	320	4	the	the	DET
ap-6151	320	5	numerical	numerical	ADJ
ap-6151	320	6	solution	solution	NOUN
ap-6151	320	7	by	by	ADP
ap-6151	320	8	supg	supg	NOUN
ap-6151	320	9	method	method	NOUN
ap-6151	320	10	does	do	AUX
ap-6151	320	11	not	not	PART
ap-6151	320	12	help	help	VERB
ap-6151	320	13	to	to	PART
ap-6151	320	14	completely	completely	ADV
ap-6151	320	15	eliminate	eliminate	VERB
ap-6151	320	16	the	the	DET
ap-6151	320	17	oscillations	oscillation	NOUN
ap-6151	320	18	in	in	ADP
ap-6151	320	19	the	the	DET
ap-6151	320	20	case	case	NOUN
ap-6151	320	21	of	of	ADP
ap-6151	320	22	b	b	NOUN
ap-6151	320	23	-	-	PUNCT
ap-6151	320	24	spline	spline	ADJ
ap-6151	320	25	discretization	discretization	NOUN
ap-6151	320	26	space	space	NOUN
ap-6151	320	27	pair	pair	NOUN
ap-6151	320	28	s2	s2	NOUN
ap-6151	320	29	0×s1	0×s1	NUM
ap-6151	320	30	0	0	PUNCT
ap-6151	320	31	.	.	PUNCT
ap-6151	321	1	the	the	DET
ap-6151	321	2	best	good	ADJ
ap-6151	321	3	solution	solution	NOUN
ap-6151	321	4	in	in	ADP
ap-6151	321	5	this	this	DET
ap-6151	321	6	part	part	NOUN
ap-6151	321	7	is	be	AUX
ap-6151	321	8	the	the	DET
ap-6151	321	9	solution	solution	NOUN
ap-6151	321	10	obtained	obtain	VERB
ap-6151	321	11	for	for	ADP
ap-6151	321	12	b	b	NOUN
ap-6151	321	13	-	-	PUNCT
ap-6151	321	14	spline	spline	ADJ
ap-6151	321	15	discretization	discretization	NOUN
ap-6151	321	16	space	space	NOUN
ap-6151	321	17	pair	pair	NOUN
ap-6151	321	18	s4	s4	VERB
ap-6151	321	19	2×s3	2×s3	NUM
ap-6151	321	20	2	2	NUM
ap-6151	321	21	which	which	PRON
ap-6151	321	22	is	be	AUX
ap-6151	321	23	without	without	ADP
ap-6151	321	24	any	any	DET
ap-6151	321	25	oscillations	oscillation	NOUN
ap-6151	321	26	and	and	CCONJ
ap-6151	321	27	very	very	ADV
ap-6151	321	28	close	close	ADJ
ap-6151	321	29	to	to	ADP
ap-6151	321	30	the	the	DET
ap-6151	321	31	reference	reference	NOUN
ap-6151	321	32	solution	solution	NOUN
ap-6151	321	33	.	.	PUNCT
ap-6151	322	1	note	note	VERB
ap-6151	322	2	that	that	SCONJ
ap-6151	322	3	oscillations	oscillation	NOUN
ap-6151	322	4	in	in	ADP
ap-6151	322	5	the	the	DET
ap-6151	322	6	solution	solution	NOUN
ap-6151	322	7	in	in	ADP
ap-6151	322	8	this	this	DET
ap-6151	322	9	part	part	NOUN
ap-6151	322	10	of	of	ADP
ap-6151	322	11	the	the	DET
ap-6151	322	12	computational	computational	ADJ
ap-6151	322	13	domain	domain	NOUN
ap-6151	322	14	are	be	AUX
ap-6151	322	15	mainly	mainly	ADV
ap-6151	322	16	caused	cause	VERB
ap-6151	322	17	by	by	ADP
ap-6151	322	18	a	a	DET
ap-6151	322	19	sudden	sudden	ADJ
ap-6151	322	20	change	change	NOUN
ap-6151	322	21	in	in	ADP
ap-6151	322	22	the	the	DET
ap-6151	322	23	boundary	boundary	ADJ
ap-6151	322	24	condition	condition	NOUN
ap-6151	322	25	.	.	PUNCT
ap-6151	323	1	the	the	DET
ap-6151	323	2	above	above	ADV
ap-6151	323	3	mentioned	mention	VERB
ap-6151	323	4	observations	observation	NOUN
ap-6151	323	5	indicate	indicate	VERB
ap-6151	323	6	a	a	DET
ap-6151	323	7	small	small	ADJ
ap-6151	323	8	stabilization	stabilization	NOUN
ap-6151	323	9	effect	effect	NOUN
ap-6151	323	10	of	of	ADP
ap-6151	323	11	b	b	NOUN
ap-6151	323	12	-	-	PUNCT
ap-6151	323	13	spline	spline	ADJ
ap-6151	323	14	discretization	discretization	NOUN
ap-6151	323	15	space	space	NOUN
ap-6151	323	16	pairs	pair	NOUN
ap-6151	323	17	of	of	ADP
ap-6151	323	18	higher	high	ADJ
ap-6151	323	19	continuity	continuity	NOUN
ap-6151	323	20	.	.	PUNCT
ap-6151	324	1	further	far	ADV
ap-6151	324	2	,	,	PUNCT
ap-6151	324	3	motivated	motivate	VERB
ap-6151	324	4	by	by	ADP
ap-6151	324	5	the	the	DET
ap-6151	324	6	recent	recent	ADJ
ap-6151	324	7	results	result	NOUN
ap-6151	324	8	on	on	ADP
ap-6151	324	9	the	the	DET
ap-6151	324	10	socalled	socalled	ADJ
ap-6151	324	11	riga	riga	PROPN
ap-6151	324	12	(	(	PUNCT
ap-6151	324	13	refined	refined	ADJ
ap-6151	324	14	isogeometric	isogeometric	ADJ
ap-6151	324	15	analysis	analysis	NOUN
ap-6151	324	16	,	,	PUNCT
ap-6151	324	17	see	see	VERB
ap-6151	324	18	[	[	X
ap-6151	324	19	42	42	NUM
ap-6151	324	20	,	,	PUNCT
ap-6151	324	21	43	43	NUM
ap-6151	324	22	]	]	PUNCT
ap-6151	324	23	)	)	PUNCT
ap-6151	325	1	we	we	PRON
ap-6151	325	2	performed	perform	VERB
ap-6151	325	3	several	several	ADJ
ap-6151	325	4	experiments	experiment	NOUN
ap-6151	325	5	whether	whether	SCONJ
ap-6151	325	6	this	this	DET
ap-6151	325	7	approach	approach	NOUN
ap-6151	325	8	can	can	AUX
ap-6151	325	9	speed	speed	VERB
ap-6151	325	10	up	up	ADP
ap-6151	325	11	the	the	DET
ap-6151	325	12	time	time	NOUN
ap-6151	325	13	-	-	PUNCT
ap-6151	325	14	consuming	consume	VERB
ap-6151	325	15	computations	computation	NOUN
ap-6151	325	16	also	also	ADV
ap-6151	325	17	in	in	ADP
ap-6151	325	18	the	the	DET
ap-6151	325	19	case	case	NOUN
ap-6151	325	20	of	of	ADP
ap-6151	325	21	the	the	DET
ap-6151	325	22	navier	navier	NOUN
ap-6151	325	23	-	-	PUNCT
ap-6151	325	24	stokes	stoke	NOUN
ap-6151	325	25	equations	equation	NOUN
ap-6151	325	26	.	.	PUNCT
ap-6151	326	1	the	the	DET
ap-6151	326	2	main	main	ADJ
ap-6151	326	3	idea	idea	NOUN
ap-6151	326	4	of	of	ADP
ap-6151	326	5	riga	riga	ADJ
ap-6151	326	6	approach	approach	NOUN
ap-6151	326	7	lies	lie	VERB
ap-6151	326	8	in	in	ADP
ap-6151	326	9	reduction	reduction	NOUN
ap-6151	326	10	of	of	ADP
ap-6151	326	11	the	the	DET
ap-6151	326	12	continuity	continuity	NOUN
ap-6151	326	13	of	of	ADP
ap-6151	326	14	highly	highly	ADV
ap-6151	326	15	continuous	continuous	ADJ
ap-6151	326	16	isogeometric	isogeometric	ADJ
ap-6151	326	17	discretization	discretization	NOUN
ap-6151	326	18	spaces	space	VERB
ap-6151	326	19	over	over	ADP
ap-6151	326	20	specific	specific	ADJ
ap-6151	326	21	inter	inter	ADJ
ap-6151	326	22	-	-	ADJ
ap-6151	326	23	element	element	ADJ
ap-6151	326	24	boundaries	boundary	NOUN
ap-6151	326	25	(	(	PUNCT
ap-6151	326	26	c0	c0	NOUN
ap-6151	326	27	separators	separator	NOUN
ap-6151	326	28	)	)	PUNCT
ap-6151	326	29	.	.	PUNCT
ap-6151	327	1	the	the	DET
ap-6151	327	2	continuity	continuity	NOUN
ap-6151	327	3	reduction	reduction	NOUN
ap-6151	327	4	weakens	weaken	VERB
ap-6151	327	5	the	the	DET
ap-6151	327	6	interconnection	interconnection	NOUN
ap-6151	327	7	between	between	ADP
ap-6151	327	8	the	the	DET
ap-6151	327	9	subdomains	subdomain	NOUN
ap-6151	327	10	since	since	SCONJ
ap-6151	327	11	it	it	PRON
ap-6151	327	12	re43	re43	PROPN
ap-6151	327	13	b.	b.	PROPN
ap-6151	327	14	bastl	bastl	PROPN
ap-6151	327	15	,	,	PUNCT
ap-6151	327	16	m.	m.	NOUN
ap-6151	327	17	brandner	brandner	NOUN
ap-6151	327	18	,	,	PUNCT
ap-6151	327	19	j.	j.	PROPN
ap-6151	327	20	egermaier	egermaier	PROPN
ap-6151	327	21	et	et	PROPN
ap-6151	327	22	al	al	PROPN
ap-6151	327	23	.	.	PROPN
ap-6151	327	24	acta	acta	PROPN
ap-6151	327	25	polytechnica	polytechnica	PROPN
ap-6151	327	26	duces	duce	VERB
ap-6151	327	27	the	the	DET
ap-6151	327	28	number	number	NOUN
ap-6151	327	29	of	of	ADP
ap-6151	327	30	basis	basis	NOUN
ap-6151	327	31	functions	function	NOUN
ap-6151	327	32	with	with	ADP
ap-6151	327	33	support	support	NOUN
ap-6151	327	34	over	over	ADP
ap-6151	327	35	the	the	DET
ap-6151	327	36	corresponding	corresponding	ADJ
ap-6151	327	37	inter	inter	ADJ
ap-6151	327	38	-	-	ADJ
ap-6151	327	39	element	element	ADJ
ap-6151	327	40	boundary	boundary	NOUN
ap-6151	327	41	,	,	PUNCT
ap-6151	327	42	which	which	PRON
ap-6151	327	43	improves	improve	VERB
ap-6151	327	44	the	the	DET
ap-6151	327	45	performance	performance	NOUN
ap-6151	327	46	of	of	ADP
ap-6151	327	47	the	the	DET
ap-6151	327	48	factorization	factorization	NOUN
ap-6151	327	49	using	use	VERB
ap-6151	327	50	a	a	DET
ap-6151	327	51	multifrontal	multifrontal	ADJ
ap-6151	327	52	direct	direct	ADJ
ap-6151	327	53	solver	solver	NOUN
ap-6151	327	54	(	(	PUNCT
ap-6151	327	55	see	see	VERB
ap-6151	327	56	[	[	X
ap-6151	327	57	62	62	NUM
ap-6151	327	58	]	]	SYM
ap-6151	327	59	)	)	PUNCT
ap-6151	327	60	.	.	PUNCT
ap-6151	328	1	in	in	ADP
ap-6151	328	2	our	our	PRON
ap-6151	328	3	experiments	experiment	NOUN
ap-6151	328	4	,	,	PUNCT
ap-6151	328	5	we	we	PRON
ap-6151	328	6	start	start	VERB
ap-6151	328	7	with	with	ADP
ap-6151	328	8	the	the	DET
ap-6151	328	9	high	high	ADJ
ap-6151	328	10	continuity	continuity	NOUN
ap-6151	328	11	isogeometric	isogeometric	ADJ
ap-6151	328	12	discretization	discretization	NOUN
ap-6151	328	13	space	space	NOUN
ap-6151	328	14	pair	pair	NOUN
ap-6151	328	15	s4	s4	PROPN
ap-6151	328	16	2	2	NUM
ap-6151	328	17	×	×	NOUN
ap-6151	328	18	s3	s3	PROPN
ap-6151	328	19	2	2	NUM
ap-6151	328	20	and	and	CCONJ
ap-6151	328	21	successively	successively	ADV
ap-6151	328	22	increase	increase	VERB
ap-6151	328	23	the	the	DET
ap-6151	328	24	number	number	NOUN
ap-6151	328	25	of	of	ADP
ap-6151	328	26	c0	c0	PROPN
ap-6151	328	27	separators	separator	NOUN
ap-6151	328	28	(	(	PUNCT
ap-6151	328	29	and	and	CCONJ
ap-6151	328	30	concurrently	concurrently	ADV
ap-6151	328	31	decrease	decrease	VERB
ap-6151	328	32	the	the	DET
ap-6151	328	33	macro	macro	ADJ
ap-6151	328	34	-	-	NOUN
ap-6151	328	35	element	element	ADJ
ap-6151	328	36	size	size	NOUN
ap-6151	328	37	)	)	PUNCT
ap-6151	328	38	.	.	PUNCT
ap-6151	329	1	insertion	insertion	NOUN
ap-6151	329	2	of	of	ADP
ap-6151	329	3	c0	c0	PROPN
ap-6151	329	4	separator	separator	PROPN
ap-6151	329	5	means	mean	VERB
ap-6151	329	6	inserting	insert	VERB
ap-6151	329	7	a	a	DET
ap-6151	329	8	multiple	multiple	ADJ
ap-6151	329	9	knot	knot	NOUN
ap-6151	329	10	into	into	ADP
ap-6151	329	11	the	the	DET
ap-6151	329	12	knot	knot	NOUN
ap-6151	329	13	vector	vector	NOUN
ap-6151	329	14	determining	determine	VERB
ap-6151	329	15	isogeometric	isogeometric	ADJ
ap-6151	329	16	discretization	discretization	NOUN
ap-6151	329	17	space	space	NOUN
ap-6151	329	18	which	which	PRON
ap-6151	329	19	leads	lead	VERB
ap-6151	329	20	to	to	ADP
ap-6151	329	21	the	the	DET
ap-6151	329	22	increase	increase	NOUN
ap-6151	329	23	of	of	ADP
ap-6151	329	24	the	the	DET
ap-6151	329	25	number	number	NOUN
ap-6151	329	26	of	of	ADP
ap-6151	329	27	basis	basis	NOUN
ap-6151	329	28	functions	function	NOUN
ap-6151	329	29	,	,	PUNCT
ap-6151	329	30	and	and	CCONJ
ap-6151	329	31	also	also	ADV
ap-6151	329	32	degrees	degree	NOUN
ap-6151	329	33	of	of	ADP
ap-6151	329	34	freedom	freedom	NOUN
ap-6151	329	35	.	.	PUNCT
ap-6151	330	1	table	table	NOUN
ap-6151	330	2	4	4	NUM
ap-6151	330	3	shows	show	VERB
ap-6151	330	4	the	the	DET
ap-6151	330	5	numbers	number	NOUN
ap-6151	330	6	of	of	ADP
ap-6151	330	7	degrees	degree	NOUN
ap-6151	330	8	of	of	ADP
ap-6151	330	9	freedom	freedom	NOUN
ap-6151	330	10	for	for	ADP
ap-6151	330	11	riga	riga	ADJ
ap-6151	330	12	discretization	discretization	NOUN
ap-6151	330	13	space	space	NOUN
ap-6151	330	14	pairs	pair	NOUN
ap-6151	330	15	with	with	ADP
ap-6151	330	16	decreasing	decrease	VERB
ap-6151	330	17	macroelements	macroelement	NOUN
ap-6151	330	18	size	size	NOUN
ap-6151	330	19	arising	arise	VERB
ap-6151	330	20	from	from	ADP
ap-6151	330	21	s4	s4	PROPN
ap-6151	330	22	2	2	NUM
ap-6151	330	23	×	×	NOUN
ap-6151	330	24	s3	s3	PROPN
ap-6151	330	25	2	2	NUM
ap-6151	330	26	considered	consider	VERB
ap-6151	330	27	on	on	ADP
ap-6151	330	28	two	two	NUM
ap-6151	330	29	different	different	ADJ
ap-6151	330	30	meshes	mesh	NOUN
ap-6151	330	31	64	64	NUM
ap-6151	330	32	×	×	NOUN
ap-6151	330	33	64	64	NUM
ap-6151	330	34	and	and	CCONJ
ap-6151	330	35	128	128	NUM
ap-6151	330	36	×	×	NOUN
ap-6151	330	37	128	128	NUM
ap-6151	330	38	.	.	PUNCT
ap-6151	331	1	note	note	VERB
ap-6151	331	2	that	that	SCONJ
ap-6151	331	3	macro	macro	NOUN
ap-6151	331	4	-	-	NOUN
ap-6151	331	5	elements	element	NOUN
ap-6151	331	6	size	size	NOUN
ap-6151	331	7	1×1	1×1	NUM
ap-6151	331	8	corresponds	correspond	VERB
ap-6151	331	9	to	to	PART
ap-6151	331	10	discretization	discretization	VERB
ap-6151	331	11	space	space	NOUN
ap-6151	331	12	pair	pair	NOUN
ap-6151	331	13	s4	s4	PROPN
ap-6151	331	14	0×s3	0×s3	NOUN
ap-6151	331	15	0	0	NUM
ap-6151	331	16	used	use	VERB
ap-6151	331	17	above	above	ADV
ap-6151	331	18	.	.	PUNCT
ap-6151	332	1	figure	figure	VERB
ap-6151	332	2	7	7	NUM
ap-6151	332	3	displays	display	NOUN
ap-6151	332	4	speed	speed	NOUN
ap-6151	332	5	-	-	PUNCT
ap-6151	332	6	up	up	NOUN
ap-6151	332	7	in	in	ADP
ap-6151	332	8	solving	solve	VERB
ap-6151	332	9	the	the	DET
ap-6151	332	10	linear	linear	ADJ
ap-6151	332	11	system	system	NOUN
ap-6151	332	12	(	(	PUNCT
ap-6151	332	13	by	by	ADP
ap-6151	332	14	a	a	DET
ap-6151	332	15	direct	direct	ADJ
ap-6151	332	16	solver	solver	NOUN
ap-6151	332	17	in	in	ADP
ap-6151	332	18	pardiso	pardiso	PROPN
ap-6151	332	19	library	library	NOUN
ap-6151	332	20	)	)	PUNCT
ap-6151	333	1	obtained	obtain	VERB
ap-6151	333	2	from	from	ADP
ap-6151	333	3	discretization	discretization	NOUN
ap-6151	333	4	of	of	ADP
ap-6151	333	5	the	the	DET
ap-6151	333	6	steady	steady	ADJ
ap-6151	333	7	navier	navier	NOUN
ap-6151	333	8	-	-	PUNCT
ap-6151	333	9	stokes	stoke	NOUN
ap-6151	333	10	equations	equation	NOUN
ap-6151	333	11	for	for	ADP
ap-6151	333	12	lid	lid	NOUN
ap-6151	333	13	-	-	PUNCT
ap-6151	333	14	driven	drive	VERB
ap-6151	333	15	cavity	cavity	NOUN
ap-6151	333	16	problem	problem	NOUN
ap-6151	333	17	in	in	ADP
ap-6151	333	18	one	one	NUM
ap-6151	333	19	picard	picard	NOUN
ap-6151	333	20	’s	’s	PART
ap-6151	333	21	iteration	iteration	NOUN
ap-6151	333	22	.	.	PUNCT
ap-6151	334	1	this	this	DET
ap-6151	334	2	speed	speed	NOUN
ap-6151	334	3	-	-	PUNCT
ap-6151	334	4	up	up	NOUN
ap-6151	334	5	is	be	AUX
ap-6151	334	6	plotted	plot	VERB
ap-6151	334	7	with	with	ADP
ap-6151	334	8	respect	respect	NOUN
ap-6151	334	9	to	to	ADP
ap-6151	334	10	the	the	DET
ap-6151	334	11	macro	macro	NOUN
ap-6151	334	12	-	-	NOUN
ap-6151	334	13	elements	element	NOUN
ap-6151	334	14	size	size	NOUN
ap-6151	334	15	and	and	CCONJ
ap-6151	334	16	the	the	DET
ap-6151	334	17	values	value	NOUN
ap-6151	334	18	on	on	ADP
ap-6151	334	19	the	the	DET
ap-6151	334	20	y	y	NOUN
ap-6151	334	21	-	-	PUNCT
ap-6151	334	22	axis	axis	NOUN
ap-6151	334	23	correspond	correspond	NOUN
ap-6151	334	24	to	to	ADP
ap-6151	334	25	the	the	DET
ap-6151	334	26	ratio	ratio	NOUN
ap-6151	334	27	of	of	ADP
ap-6151	334	28	time	time	NOUN
ap-6151	334	29	obtained	obtain	VERB
ap-6151	334	30	for	for	ADP
ap-6151	334	31	standard	standard	ADJ
ap-6151	334	32	high	high	ADJ
ap-6151	334	33	continuity	continuity	NOUN
ap-6151	334	34	isogeometric	isogeometric	ADJ
ap-6151	334	35	discretization	discretization	NOUN
ap-6151	334	36	space	space	NOUN
ap-6151	334	37	pair	pair	NOUN
ap-6151	334	38	s4	s4	PROPN
ap-6151	334	39	2	2	NUM
ap-6151	334	40	×	×	NOUN
ap-6151	334	41	s3	s3	PROPN
ap-6151	334	42	2	2	NUM
ap-6151	334	43	and	and	CCONJ
ap-6151	334	44	time	time	NOUN
ap-6151	334	45	for	for	ADP
ap-6151	334	46	riga	riga	ADJ
ap-6151	334	47	discretization	discretization	NOUN
ap-6151	334	48	for	for	ADP
ap-6151	334	49	the	the	DET
ap-6151	334	50	particular	particular	ADJ
ap-6151	334	51	macro	macro	ADJ
ap-6151	334	52	-	-	ADJ
ap-6151	334	53	elements	element	NOUN
ap-6151	334	54	size	size	NOUN
ap-6151	334	55	.	.	PUNCT
ap-6151	335	1	all	all	DET
ap-6151	335	2	times	time	NOUN
ap-6151	335	3	are	be	AUX
ap-6151	335	4	averages	average	NOUN
ap-6151	335	5	of	of	ADP
ap-6151	335	6	100	100	NUM
ap-6151	335	7	picard	picard	PROPN
ap-6151	335	8	’s	’s	PART
ap-6151	335	9	iterations	iteration	NOUN
ap-6151	335	10	.	.	PUNCT
ap-6151	336	1	for	for	ADP
ap-6151	336	2	example	example	NOUN
ap-6151	336	3	,	,	PUNCT
ap-6151	336	4	in	in	ADP
ap-6151	336	5	the	the	DET
ap-6151	336	6	case	case	NOUN
ap-6151	336	7	of	of	ADP
ap-6151	336	8	the	the	DET
ap-6151	336	9	mesh	mesh	NOUN
ap-6151	336	10	of	of	ADP
ap-6151	336	11	128×	128×	NUM
ap-6151	336	12	128	128	NUM
ap-6151	336	13	elements	element	NOUN
ap-6151	336	14	solving	solve	VERB
ap-6151	336	15	the	the	DET
ap-6151	336	16	linear	linear	ADJ
ap-6151	336	17	system	system	NOUN
ap-6151	336	18	obtained	obtain	VERB
ap-6151	336	19	for	for	ADP
ap-6151	336	20	macro	macro	NOUN
ap-6151	336	21	-	-	NOUN
ap-6151	336	22	elements	element	NOUN
ap-6151	336	23	size	size	NOUN
ap-6151	336	24	4×4	4×4	NUM
ap-6151	336	25	is	be	AUX
ap-6151	336	26	3.76×	3.76×	NOUN
ap-6151	336	27	faster	fast	ADV
ap-6151	336	28	than	than	ADP
ap-6151	336	29	solving	solve	VERB
ap-6151	336	30	the	the	DET
ap-6151	336	31	linear	linear	ADJ
ap-6151	336	32	system	system	NOUN
ap-6151	336	33	without	without	ADP
ap-6151	336	34	any	any	DET
ap-6151	336	35	c0	c0	PROPN
ap-6151	336	36	separators	separator	NOUN
ap-6151	336	37	.	.	PUNCT
ap-6151	337	1	similarly	similarly	ADV
ap-6151	337	2	,	,	PUNCT
ap-6151	337	3	figure	figure	VERB
ap-6151	337	4	8	8	NUM
ap-6151	337	5	shows	show	VERB
ap-6151	337	6	the	the	DET
ap-6151	337	7	reduction	reduction	NOUN
ap-6151	337	8	in	in	ADP
ap-6151	337	9	the	the	DET
ap-6151	337	10	numbers	number	NOUN
ap-6151	337	11	of	of	ADP
ap-6151	337	12	floating	float	VERB
ap-6151	337	13	point	point	NOUN
ap-6151	337	14	operations	operation	NOUN
ap-6151	337	15	needed	need	VERB
ap-6151	337	16	for	for	ADP
ap-6151	337	17	factorization	factorization	NOUN
ap-6151	337	18	during	during	ADP
ap-6151	337	19	solving	solve	VERB
ap-6151	337	20	the	the	DET
ap-6151	337	21	linear	linear	ADJ
ap-6151	337	22	system	system	NOUN
ap-6151	337	23	obtained	obtain	VERB
ap-6151	337	24	by	by	ADP
ap-6151	337	25	riga	riga	PROPN
ap-6151	337	26	method	method	NOUN
ap-6151	337	27	for	for	ADP
ap-6151	337	28	various	various	ADJ
ap-6151	337	29	macro	macro	ADJ
ap-6151	337	30	-	-	NOUN
ap-6151	337	31	elements	element	NOUN
ap-6151	337	32	sizes	size	NOUN
ap-6151	337	33	by	by	ADP
ap-6151	337	34	a	a	DET
ap-6151	337	35	direct	direct	ADJ
ap-6151	337	36	solver	solver	NOUN
ap-6151	337	37	(	(	PUNCT
ap-6151	337	38	in	in	ADP
ap-6151	337	39	pardiso	pardiso	PROPN
ap-6151	337	40	library	library	NOUN
ap-6151	337	41	)	)	PUNCT
ap-6151	337	42	with	with	ADP
ap-6151	337	43	respect	respect	NOUN
ap-6151	337	44	to	to	ADP
ap-6151	337	45	high	high	ADJ
ap-6151	337	46	continuity	continuity	NOUN
ap-6151	337	47	isogeometric	isogeometric	ADJ
ap-6151	337	48	discretization	discretization	NOUN
ap-6151	337	49	space	space	NOUN
ap-6151	337	50	pair	pair	NOUN
ap-6151	337	51	s4	s4	PROPN
ap-6151	337	52	2	2	NUM
ap-6151	337	53	×	×	NOUN
ap-6151	337	54	s3	s3	PROPN
ap-6151	337	55	2	2	NUM
ap-6151	337	56	.	.	PUNCT
ap-6151	338	1	it	it	PRON
ap-6151	338	2	can	can	AUX
ap-6151	338	3	be	be	AUX
ap-6151	338	4	seen	see	VERB
ap-6151	338	5	that	that	SCONJ
ap-6151	338	6	our	our	PRON
ap-6151	338	7	results	result	NOUN
ap-6151	338	8	for	for	ADP
ap-6151	338	9	the	the	DET
ap-6151	338	10	steady	steady	ADJ
ap-6151	338	11	navierstokes	navierstoke	NOUN
ap-6151	338	12	equations	equation	NOUN
ap-6151	338	13	are	be	AUX
ap-6151	338	14	in	in	ADP
ap-6151	338	15	a	a	DET
ap-6151	338	16	good	good	ADJ
ap-6151	338	17	agreement	agreement	NOUN
ap-6151	338	18	with	with	ADP
ap-6151	338	19	results	result	NOUN
ap-6151	338	20	presented	present	VERB
ap-6151	338	21	in	in	ADP
ap-6151	338	22	[	[	X
ap-6151	338	23	43	43	NUM
ap-6151	338	24	]	]	PUNCT
ap-6151	338	25	for	for	ADP
ap-6151	338	26	the	the	DET
ap-6151	338	27	stokes	stokes	PROPN
ap-6151	338	28	equations	equation	NOUN
ap-6151	338	29	and	and	CCONJ
ap-6151	338	30	they	they	PRON
ap-6151	338	31	confirm	confirm	VERB
ap-6151	338	32	the	the	DET
ap-6151	338	33	positive	positive	ADJ
ap-6151	338	34	effect	effect	NOUN
ap-6151	338	35	of	of	ADP
ap-6151	338	36	riga	riga	PROPN
ap-6151	338	37	for	for	ADP
ap-6151	338	38	solving	solve	VERB
ap-6151	338	39	linear	linear	NOUN
ap-6151	338	40	systems	system	NOUN
ap-6151	338	41	also	also	ADV
ap-6151	338	42	in	in	ADP
ap-6151	338	43	the	the	DET
ap-6151	338	44	case	case	NOUN
ap-6151	338	45	of	of	ADP
ap-6151	338	46	the	the	DET
ap-6151	338	47	steady	steady	ADJ
ap-6151	338	48	navier	navier	NOUN
ap-6151	338	49	-	-	PUNCT
ap-6151	338	50	stokes	stoke	NOUN
ap-6151	338	51	equations	equation	NOUN
ap-6151	338	52	.	.	PUNCT
ap-6151	339	1	speed	speed	NOUN
ap-6151	339	2	-	-	PUNCT
ap-6151	339	3	up	up	NOUN
ap-6151	339	4	indicated	indicate	VERB
ap-6151	339	5	by	by	ADP
ap-6151	339	6	the	the	DET
ap-6151	339	7	reduction	reduction	NOUN
ap-6151	339	8	of	of	ADP
ap-6151	339	9	floating	float	VERB
ap-6151	339	10	point	point	NOUN
ap-6151	339	11	operations	operation	NOUN
ap-6151	339	12	is	be	AUX
ap-6151	339	13	not	not	PART
ap-6151	339	14	fully	fully	ADV
ap-6151	339	15	reached	reach	VERB
ap-6151	339	16	,	,	PUNCT
ap-6151	339	17	as	as	SCONJ
ap-6151	339	18	one	one	PRON
ap-6151	339	19	can	can	AUX
ap-6151	339	20	see	see	VERB
ap-6151	339	21	by	by	ADP
ap-6151	339	22	comparing	compare	VERB
ap-6151	339	23	figure	figure	NOUN
ap-6151	339	24	7	7	NUM
ap-6151	339	25	and	and	CCONJ
ap-6151	339	26	figure	figure	VERB
ap-6151	339	27	8	8	NUM
ap-6151	339	28	,	,	PUNCT
ap-6151	339	29	but	but	CCONJ
ap-6151	339	30	this	this	PRON
ap-6151	339	31	is	be	AUX
ap-6151	339	32	also	also	ADV
ap-6151	339	33	in	in	ADP
ap-6151	339	34	an	an	DET
ap-6151	339	35	agreement	agreement	NOUN
ap-6151	339	36	with	with	ADP
ap-6151	339	37	the	the	DET
ap-6151	339	38	results	result	NOUN
ap-6151	339	39	presented	present	VERB
ap-6151	339	40	in	in	ADP
ap-6151	339	41	[	[	X
ap-6151	339	42	43	43	NUM
ap-6151	339	43	]	]	PUNCT
ap-6151	339	44	.	.	PUNCT
ap-6151	340	1	further	far	ADV
ap-6151	340	2	,	,	PUNCT
ap-6151	340	3	figures	figure	VERB
ap-6151	340	4	7	7	NUM
ap-6151	340	5	and	and	CCONJ
ap-6151	340	6	8	8	NUM
ap-6151	340	7	indicate	indicate	VERB
ap-6151	340	8	that	that	SCONJ
ap-6151	340	9	one	one	PRON
ap-6151	340	10	can	can	AUX
ap-6151	340	11	expect	expect	VERB
ap-6151	340	12	higher	high	ADJ
ap-6151	340	13	speed	speed	NOUN
ap-6151	340	14	-	-	PUNCT
ap-6151	340	15	up	up	NOUN
ap-6151	340	16	for	for	ADP
ap-6151	340	17	finer	fine	ADJ
ap-6151	340	18	meshes	mesh	NOUN
ap-6151	340	19	.	.	PUNCT
ap-6151	341	1	the	the	DET
ap-6151	341	2	reason	reason	NOUN
ap-6151	341	3	for	for	ADP
ap-6151	341	4	this	this	PRON
ap-6151	341	5	lies	lie	NOUN
ap-6151	341	6	in	in	ADP
ap-6151	341	7	the	the	DET
ap-6151	341	8	fact	fact	NOUN
ap-6151	341	9	that	that	SCONJ
ap-6151	341	10	we	we	PRON
ap-6151	341	11	are	be	AUX
ap-6151	341	12	not	not	PART
ap-6151	341	13	in	in	ADP
ap-6151	341	14	a	a	DET
ap-6151	341	15	fully	fully	ADV
ap-6151	341	16	asymptotic	asymptotic	ADJ
ap-6151	341	17	regime	regime	NOUN
ap-6151	341	18	with	with	ADP
ap-6151	341	19	our	our	PRON
ap-6151	341	20	computational	computational	ADJ
ap-6151	341	21	grids	grid	NOUN
ap-6151	341	22	where	where	SCONJ
ap-6151	341	23	theoretical	theoretical	ADJ
ap-6151	341	24	speed	speed	NOUN
ap-6151	341	25	-	-	PUNCT
ap-6151	341	26	up	up	NOUN
ap-6151	341	27	in	in	ADP
ap-6151	341	28	flops	flop	NOUN
ap-6151	341	29	reaches	reach	VERB
ap-6151	341	30	o(p2	o(p2	ADJ
ap-6151	341	31	)	)	PUNCT
ap-6151	341	32	for	for	ADP
ap-6151	341	33	the	the	DET
ap-6151	341	34	stokes	stoke	NOUN
ap-6151	341	35	problem	problem	NOUN
ap-6151	341	36	(	(	PUNCT
ap-6151	341	37	see	see	VERB
ap-6151	341	38	[	[	X
ap-6151	341	39	43	43	NUM
ap-6151	341	40	]	]	NUM
ap-6151	341	41	)	)	PUNCT
ap-6151	341	42	.	.	PUNCT
ap-6151	342	1	however	however	ADV
ap-6151	342	2	,	,	PUNCT
ap-6151	342	3	larger	large	ADJ
ap-6151	342	4	grid	grid	NOUN
ap-6151	342	5	sizes	size	NOUN
ap-6151	342	6	are	be	AUX
ap-6151	342	7	too	too	ADV
ap-6151	342	8	time	time	NOUN
ap-6151	342	9	-	-	PUNCT
ap-6151	342	10	consuming	consume	VERB
ap-6151	342	11	because	because	SCONJ
ap-6151	342	12	we	we	PRON
ap-6151	342	13	solve	solve	VERB
ap-6151	342	14	non	non	ADJ
ap-6151	342	15	-	-	ADJ
ap-6151	342	16	linear	linear	ADJ
ap-6151	342	17	problem	problem	NOUN
ap-6151	342	18	with	with	ADP
ap-6151	342	19	many	many	ADJ
ap-6151	342	20	iterations	iteration	NOUN
ap-6151	342	21	required	require	VERB
ap-6151	342	22	for	for	ADP
ap-6151	342	23	convergence	convergence	NOUN
ap-6151	342	24	of	of	ADP
ap-6151	342	25	the	the	DET
ap-6151	342	26	steady	steady	ADJ
ap-6151	342	27	navier	navier	NOUN
ap-6151	342	28	-	-	PUNCT
ap-6151	342	29	stokes	stoke	NOUN
ap-6151	342	30	equations	equation	NOUN
ap-6151	342	31	.	.	PUNCT
ap-6151	343	1	as	as	SCONJ
ap-6151	343	2	an	an	DET
ap-6151	343	3	assembly	assembly	NOUN
ap-6151	343	4	of	of	ADP
ap-6151	343	5	matrices	matrix	NOUN
ap-6151	343	6	is	be	AUX
ap-6151	343	7	considered	consider	VERB
ap-6151	343	8	as	as	ADP
ap-6151	343	9	one	one	NUM
ap-6151	343	10	of	of	ADP
ap-6151	343	11	the	the	DET
ap-6151	343	12	major	major	ADJ
ap-6151	343	13	drawbacks	drawback	NOUN
ap-6151	343	14	of	of	ADP
ap-6151	343	15	iga	iga	PROPN
ap-6151	343	16	frequently	frequently	ADV
ap-6151	343	17	studied	study	VERB
ap-6151	343	18	in	in	ADP
ap-6151	343	19	the	the	DET
ap-6151	343	20	literature	literature	NOUN
ap-6151	343	21	(	(	PUNCT
ap-6151	343	22	see	see	VERB
ap-6151	344	1	e.g.	e.g.	ADV
ap-6151	344	2	[	[	X
ap-6151	344	3	35–37	35–37	NOUN
ap-6151	344	4	]	]	X
ap-6151	344	5	)	)	PUNCT
ap-6151	344	6	,	,	PUNCT
ap-6151	344	7	one	one	PRON
ap-6151	344	8	could	could	AUX
ap-6151	344	9	ask	ask	VERB
ap-6151	344	10	if	if	SCONJ
ap-6151	344	11	increasing	increase	VERB
ap-6151	344	12	the	the	DET
ap-6151	344	13	number	number	NOUN
ap-6151	344	14	of	of	ADP
ap-6151	344	15	degrees	degree	NOUN
ap-6151	344	16	of	of	ADP
ap-6151	344	17	freedom	freedom	NOUN
ap-6151	344	18	by	by	ADP
ap-6151	344	19	insertion	insertion	NOUN
ap-6151	344	20	of	of	ADP
ap-6151	344	21	c0	c0	NOUN
ap-6151	344	22	separators	separator	NOUN
ap-6151	344	23	leads	lead	VERB
ap-6151	344	24	to	to	ADP
ap-6151	344	25	more	more	ADJ
ap-6151	344	26	time	time	NOUN
ap-6151	344	27	-	-	PUNCT
ap-6151	344	28	consuming	consume	VERB
ap-6151	344	29	assembly	assembly	NOUN
ap-6151	344	30	of	of	ADP
ap-6151	344	31	matrices	matrix	NOUN
ap-6151	344	32	for	for	ADP
ap-6151	344	33	the	the	DET
ap-6151	344	34	resulting	result	VERB
ap-6151	344	35	linear	linear	ADJ
ap-6151	344	36	system	system	NOUN
ap-6151	344	37	.	.	PUNCT
ap-6151	345	1	if	if	SCONJ
ap-6151	345	2	matrices	matrix	NOUN
ap-6151	345	3	are	be	AUX
ap-6151	345	4	assembled	assemble	VERB
ap-6151	345	5	element	element	ADJ
ap-6151	345	6	-	-	ADJ
ap-6151	345	7	wise	wise	ADJ
ap-6151	345	8	,	,	PUNCT
ap-6151	345	9	which	which	PRON
ap-6151	345	10	is	be	AUX
ap-6151	345	11	still	still	ADV
ap-6151	345	12	frequently	frequently	ADV
ap-6151	345	13	done	do	VERB
ap-6151	345	14	in	in	ADP
ap-6151	345	15	iga	iga	PROPN
ap-6151	345	16	-	-	PUNCT
ap-6151	345	17	based	base	VERB
ap-6151	345	18	solvers	solver	NOUN
ap-6151	345	19	and	and	CCONJ
ap-6151	345	20	which	which	PRON
ap-6151	345	21	is	be	AUX
ap-6151	345	22	also	also	ADV
ap-6151	345	23	done	do	VERB
ap-6151	345	24	in	in	ADP
ap-6151	345	25	our	our	PRON
ap-6151	345	26	case	case	NOUN
ap-6151	345	27	,	,	PUNCT
ap-6151	345	28	and	and	CCONJ
ap-6151	345	29	if	if	SCONJ
ap-6151	345	30	an	an	DET
ap-6151	345	31	assembly	assembly	NOUN
ap-6151	345	32	of	of	ADP
ap-6151	345	33	matrices	matrix	NOUN
ap-6151	345	34	only	only	ADV
ap-6151	345	35	requires	require	VERB
ap-6151	345	36	evaluation	evaluation	NOUN
ap-6151	345	37	of	of	ADP
ap-6151	345	38	b	b	NOUN
ap-6151	345	39	-	-	PUNCT
ap-6151	345	40	spline	spline	NOUN
ap-6151	345	41	basis	basis	NOUN
ap-6151	345	42	functions	function	NOUN
ap-6151	345	43	and	and	CCONJ
ap-6151	345	44	their	their	PRON
ap-6151	345	45	derivatives	derivative	NOUN
ap-6151	345	46	for	for	ADP
ap-6151	345	47	computation	computation	NOUN
ap-6151	345	48	of	of	ADP
ap-6151	345	49	local	local	ADJ
ap-6151	345	50	element	element	NOUN
ap-6151	345	51	matrices	matrix	NOUN
ap-6151	345	52	and	and	CCONJ
ap-6151	345	53	assembling	assembling	NOUN
ap-6151	345	54	of	of	ADP
ap-6151	345	55	local	local	ADJ
ap-6151	345	56	matrices	matrix	NOUN
ap-6151	345	57	to	to	ADP
ap-6151	345	58	a	a	DET
ap-6151	345	59	global	global	ADJ
ap-6151	345	60	matrix	matrix	NOUN
ap-6151	345	61	(	(	PUNCT
ap-6151	345	62	as	as	ADP
ap-6151	345	63	in	in	ADP
ap-6151	345	64	the	the	DET
ap-6151	345	65	case	case	NOUN
ap-6151	345	66	of	of	ADP
ap-6151	345	67	mass	mass	ADJ
ap-6151	345	68	matrix	matrix	NOUN
ap-6151	345	69	or	or	CCONJ
ap-6151	345	70	stiffness	stiffness	ADJ
ap-6151	345	71	matrix	matrix	NOUN
ap-6151	345	72	)	)	PUNCT
ap-6151	345	73	,	,	PUNCT
ap-6151	345	74	the	the	DET
ap-6151	345	75	cost	cost	NOUN
ap-6151	345	76	of	of	ADP
ap-6151	345	77	an	an	DET
ap-6151	345	78	assembly	assembly	NOUN
ap-6151	345	79	of	of	ADP
ap-6151	345	80	matrices	matrix	NOUN
ap-6151	345	81	in	in	ADP
ap-6151	345	82	high	high	ADJ
ap-6151	345	83	continuity	continuity	NOUN
ap-6151	345	84	iga	iga	PROPN
ap-6151	345	85	and	and	CCONJ
ap-6151	345	86	riga	riga	PROPN
ap-6151	345	87	is	be	AUX
ap-6151	345	88	identical	identical	ADJ
ap-6151	345	89	.	.	PUNCT
ap-6151	346	1	the	the	DET
ap-6151	346	2	reason	reason	NOUN
ap-6151	346	3	lies	lie	VERB
ap-6151	346	4	in	in	ADP
ap-6151	346	5	the	the	DET
ap-6151	346	6	fact	fact	NOUN
ap-6151	346	7	that	that	SCONJ
ap-6151	346	8	the	the	DET
ap-6151	346	9	number	number	NOUN
ap-6151	346	10	of	of	ADP
ap-6151	346	11	basis	basis	NOUN
ap-6151	346	12	functions	function	NOUN
ap-6151	346	13	per	per	ADP
ap-6151	346	14	element	element	NOUN
ap-6151	346	15	is	be	AUX
ap-6151	346	16	the	the	DET
ap-6151	346	17	same	same	ADJ
ap-6151	346	18	for	for	ADP
ap-6151	346	19	high	high	ADJ
ap-6151	346	20	continuity	continuity	NOUN
ap-6151	346	21	iga	iga	PROPN
ap-6151	346	22	and	and	CCONJ
ap-6151	346	23	riga	riga	PROPN
ap-6151	346	24	.	.	PUNCT
ap-6151	347	1	moreover	moreover	ADV
ap-6151	347	2	,	,	PUNCT
ap-6151	347	3	during	during	ADP
ap-6151	347	4	assembling	assemble	VERB
ap-6151	347	5	of	of	ADP
ap-6151	347	6	local	local	ADJ
ap-6151	347	7	matrices	matrix	NOUN
ap-6151	347	8	to	to	ADP
ap-6151	347	9	the	the	DET
ap-6151	347	10	global	global	ADJ
ap-6151	347	11	matrix	matrix	NOUN
ap-6151	347	12	,	,	PUNCT
ap-6151	347	13	the	the	DET
ap-6151	347	14	local	local	ADJ
ap-6151	347	15	matrices	matrix	NOUN
ap-6151	347	16	highly	highly	ADV
ap-6151	347	17	overlap	overlap	NOUN
ap-6151	347	18	in	in	ADP
ap-6151	347	19	high	high	ADJ
ap-6151	347	20	continuity	continuity	NOUN
ap-6151	347	21	iga	iga	PROPN
ap-6151	347	22	and	and	CCONJ
ap-6151	347	23	overlapping	overlapping	NOUN
ap-6151	347	24	of	of	ADP
ap-6151	347	25	the	the	DET
ap-6151	347	26	local	local	ADJ
ap-6151	347	27	matrices	matrix	NOUN
ap-6151	347	28	reduces	reduce	VERB
ap-6151	347	29	in	in	ADP
ap-6151	347	30	riga	riga	PROPN
ap-6151	347	31	with	with	ADP
ap-6151	347	32	decreasing	decrease	VERB
ap-6151	347	33	macro	macro	ADJ
ap-6151	347	34	-	-	ADJ
ap-6151	347	35	element	element	ADJ
ap-6151	347	36	size	size	NOUN
ap-6151	347	37	.	.	PUNCT
ap-6151	348	1	this	this	PRON
ap-6151	348	2	means	mean	VERB
ap-6151	348	3	that	that	SCONJ
ap-6151	348	4	assembly	assembly	NOUN
ap-6151	348	5	time	time	NOUN
ap-6151	348	6	for	for	ADP
ap-6151	348	7	riga	riga	PROPN
ap-6151	348	8	with	with	ADP
ap-6151	348	9	various	various	ADJ
ap-6151	348	10	macro	macro	ADJ
ap-6151	348	11	-	-	ADJ
ap-6151	348	12	elements	element	NOUN
ap-6151	348	13	sizes	size	NOUN
ap-6151	348	14	is	be	AUX
ap-6151	348	15	at	at	ADP
ap-6151	348	16	most	most	ADJ
ap-6151	348	17	the	the	DET
ap-6151	348	18	same	same	ADJ
ap-6151	348	19	as	as	ADP
ap-6151	348	20	for	for	ADP
ap-6151	348	21	high	high	ADJ
ap-6151	348	22	continuity	continuity	NOUN
ap-6151	348	23	iga	iga	PROPN
ap-6151	348	24	.	.	PUNCT
ap-6151	349	1	figure	figure	NOUN
ap-6151	349	2	9	9	NUM
ap-6151	349	3	shows	show	VERB
ap-6151	349	4	speed	speed	NOUN
ap-6151	349	5	-	-	PUNCT
ap-6151	349	6	up	up	NOUN
ap-6151	349	7	in	in	ADP
ap-6151	349	8	assembly	assembly	NOUN
ap-6151	349	9	of	of	ADP
ap-6151	349	10	matrices	matrix	NOUN
ap-6151	349	11	for	for	ADP
ap-6151	349	12	the	the	DET
ap-6151	349	13	linear	linear	ADJ
ap-6151	349	14	system	system	NOUN
ap-6151	349	15	in	in	ADP
ap-6151	349	16	one	one	NUM
ap-6151	349	17	picard	picard	NOUN
ap-6151	349	18	’s	’s	PART
ap-6151	349	19	iteration	iteration	NOUN
ap-6151	349	20	of	of	ADP
ap-6151	349	21	the	the	DET
ap-6151	349	22	steady	steady	ADJ
ap-6151	349	23	navier	navier	NOUN
ap-6151	349	24	-	-	PUNCT
ap-6151	349	25	stokes	stoke	NOUN
ap-6151	349	26	equations	equation	NOUN
ap-6151	349	27	discretized	discretize	VERB
ap-6151	349	28	by	by	ADP
ap-6151	349	29	riga	riga	PROPN
ap-6151	349	30	method	method	NOUN
ap-6151	349	31	with	with	ADP
ap-6151	349	32	various	various	ADJ
ap-6151	349	33	macro	macro	ADJ
ap-6151	349	34	-	-	ADJ
ap-6151	349	35	elements	element	NOUN
ap-6151	349	36	sizes	size	NOUN
ap-6151	349	37	.	.	PUNCT
ap-6151	350	1	it	it	PRON
ap-6151	350	2	is	be	AUX
ap-6151	350	3	seen	see	VERB
ap-6151	350	4	that	that	SCONJ
ap-6151	350	5	for	for	ADP
ap-6151	350	6	small	small	ADJ
ap-6151	350	7	macro	macro	NOUN
ap-6151	350	8	-	-	NOUN
ap-6151	350	9	elements	element	NOUN
ap-6151	350	10	sizes	size	NOUN
ap-6151	350	11	the	the	DET
ap-6151	350	12	time	time	NOUN
ap-6151	350	13	needed	need	VERB
ap-6151	350	14	for	for	ADP
ap-6151	350	15	assembly	assembly	NOUN
ap-6151	350	16	of	of	ADP
ap-6151	350	17	matrices	matrix	NOUN
ap-6151	350	18	slightly	slightly	ADV
ap-6151	350	19	increases	increase	NOUN
ap-6151	350	20	.	.	PUNCT
ap-6151	351	1	the	the	DET
ap-6151	351	2	reasons	reason	NOUN
ap-6151	351	3	lies	lie	VERB
ap-6151	351	4	in	in	ADP
ap-6151	351	5	the	the	DET
ap-6151	351	6	fact	fact	NOUN
ap-6151	351	7	that	that	SCONJ
ap-6151	351	8	we	we	PRON
ap-6151	351	9	construct	construct	VERB
ap-6151	351	10	the	the	DET
ap-6151	351	11	velocity	velocity	NOUN
ap-6151	351	12	solution	solution	NOUN
ap-6151	351	13	in	in	ADP
ap-6151	351	14	each	each	DET
ap-6151	351	15	picard	picard	NOUN
ap-6151	351	16	’s	’s	PART
ap-6151	351	17	iteration	iteration	NOUN
ap-6151	351	18	which	which	PRON
ap-6151	351	19	is	be	AUX
ap-6151	351	20	used	use	VERB
ap-6151	351	21	in	in	ADP
ap-6151	351	22	the	the	DET
ap-6151	351	23	construction	construction	NOUN
ap-6151	351	24	of	of	ADP
ap-6151	351	25	the	the	DET
ap-6151	351	26	matrix	matrix	NOUN
ap-6151	351	27	n(u	n(u	PROPN
ap-6151	351	28	)	)	PUNCT
ap-6151	351	29	(	(	PUNCT
ap-6151	351	30	see	see	VERB
ap-6151	351	31	(	(	PUNCT
ap-6151	351	32	7	7	NUM
ap-6151	351	33	)	)	PUNCT
ap-6151	351	34	)	)	PUNCT
ap-6151	351	35	.	.	PUNCT
ap-6151	352	1	as	as	SCONJ
ap-6151	352	2	the	the	DET
ap-6151	352	3	construction	construction	NOUN
ap-6151	352	4	of	of	ADP
ap-6151	352	5	the	the	DET
ap-6151	352	6	velocity	velocity	NOUN
ap-6151	352	7	solution	solution	NOUN
ap-6151	352	8	depends	depend	VERB
ap-6151	352	9	on	on	ADP
ap-6151	352	10	the	the	DET
ap-6151	352	11	number	number	NOUN
ap-6151	352	12	of	of	ADP
ap-6151	352	13	degrees	degree	NOUN
ap-6151	352	14	of	of	ADP
ap-6151	352	15	freedom	freedom	NOUN
ap-6151	352	16	,	,	PUNCT
ap-6151	352	17	which	which	PRON
ap-6151	352	18	rapidly	rapidly	ADV
ap-6151	352	19	grows	grow	VERB
ap-6151	352	20	for	for	ADP
ap-6151	352	21	smaller	small	ADJ
ap-6151	352	22	macro	macro	ADJ
ap-6151	352	23	-	-	ADJ
ap-6151	352	24	element	element	ADJ
ap-6151	352	25	sizes	size	NOUN
ap-6151	352	26	(	(	PUNCT
ap-6151	352	27	see	see	VERB
ap-6151	352	28	table	table	NOUN
ap-6151	352	29	4	4	NUM
ap-6151	352	30	)	)	PUNCT
ap-6151	352	31	,	,	PUNCT
ap-6151	352	32	this	this	PRON
ap-6151	352	33	leads	lead	VERB
ap-6151	352	34	to	to	ADP
ap-6151	352	35	a	a	DET
ap-6151	352	36	small	small	ADJ
ap-6151	352	37	increase	increase	NOUN
ap-6151	352	38	in	in	ADP
ap-6151	352	39	the	the	DET
ap-6151	352	40	computational	computational	ADJ
ap-6151	352	41	cost	cost	NOUN
ap-6151	352	42	of	of	ADP
ap-6151	352	43	an	an	DET
ap-6151	352	44	assembly	assembly	NOUN
ap-6151	352	45	of	of	ADP
ap-6151	352	46	matrices	matrix	NOUN
ap-6151	352	47	.	.	PUNCT
ap-6151	353	1	however	however	ADV
ap-6151	353	2	,	,	PUNCT
ap-6151	353	3	this	this	DET
ap-6151	353	4	behaviour	behaviour	NOUN
ap-6151	353	5	does	do	AUX
ap-6151	353	6	not	not	PART
ap-6151	353	7	significantly	significantly	ADV
ap-6151	353	8	affect	affect	VERB
ap-6151	353	9	the	the	DET
ap-6151	353	10	overall	overall	ADJ
ap-6151	353	11	effectiveness	effectiveness	NOUN
ap-6151	353	12	of	of	ADP
ap-6151	353	13	the	the	DET
ap-6151	353	14	riga	riga	ADJ
ap-6151	353	15	method	method	NOUN
ap-6151	353	16	.	.	PUNCT
ap-6151	354	1	finally	finally	ADV
ap-6151	354	2	,	,	PUNCT
ap-6151	354	3	our	our	PRON
ap-6151	354	4	experience	experience	NOUN
ap-6151	354	5	with	with	ADP
ap-6151	354	6	solving	solve	VERB
ap-6151	354	7	the	the	DET
ap-6151	354	8	navierstokes	navierstoke	NOUN
ap-6151	354	9	and	and	CCONJ
ap-6151	354	10	rans	ran	NOUN
ap-6151	354	11	(	(	PUNCT
ap-6151	354	12	reynolds	reynold	NOUN
ap-6151	354	13	-	-	PUNCT
ap-6151	354	14	averaged	average	VERB
ap-6151	354	15	navier	navier	NOUN
ap-6151	354	16	-	-	PUNCT
ap-6151	354	17	stokes	stokes	PROPN
ap-6151	354	18	)	)	PUNCT
ap-6151	354	19	equations	equation	NOUN
ap-6151	354	20	by	by	ADP
ap-6151	354	21	iga	iga	PROPN
ap-6151	354	22	have	have	AUX
ap-6151	354	23	shown	show	VERB
ap-6151	354	24	that	that	PRON
ap-6151	354	25	decreased	decrease	VERB
ap-6151	354	26	continuity	continuity	NOUN
ap-6151	354	27	to	to	ADP
ap-6151	354	28	only	only	ADV
ap-6151	354	29	c0	c0	PROPN
ap-6151	354	30	inside	inside	ADP
ap-6151	354	31	the	the	DET
ap-6151	354	32	computational	computational	ADJ
ap-6151	354	33	domain	domain	NOUN
ap-6151	354	34	can	can	AUX
ap-6151	354	35	lead	lead	VERB
ap-6151	354	36	to	to	ADP
ap-6151	354	37	spurious	spurious	ADJ
ap-6151	354	38	oscillations	oscillation	NOUN
ap-6151	354	39	along	along	ADP
ap-6151	354	40	this	this	DET
ap-6151	354	41	c0	c0	NOUN
ap-6151	354	42	separator	separator	NOUN
ap-6151	354	43	,	,	PUNCT
ap-6151	354	44	especially	especially	ADV
ap-6151	354	45	for	for	ADP
ap-6151	354	46	high	high	ADJ
ap-6151	354	47	reynolds	reynold	NOUN
ap-6151	354	48	number	number	NOUN
ap-6151	354	49	fluid	fluid	NOUN
ap-6151	354	50	flow	flow	NOUN
ap-6151	354	51	simulations	simulation	NOUN
ap-6151	354	52	in	in	ADP
ap-6151	354	53	complex	complex	ADJ
ap-6151	354	54	computational	computational	ADJ
ap-6151	354	55	domains	domain	NOUN
ap-6151	354	56	.	.	PUNCT
ap-6151	355	1	this	this	PRON
ap-6151	355	2	can	can	AUX
ap-6151	355	3	be	be	AUX
ap-6151	355	4	considered	consider	VERB
ap-6151	355	5	as	as	ADP
ap-6151	355	6	a	a	DET
ap-6151	355	7	disadvantage	disadvantage	NOUN
ap-6151	355	8	of	of	ADP
ap-6151	355	9	riga	riga	ADJ
ap-6151	355	10	method	method	NOUN
ap-6151	355	11	,	,	PUNCT
ap-6151	355	12	specifically	specifically	ADV
ap-6151	355	13	in	in	ADP
ap-6151	355	14	its	its	PRON
ap-6151	355	15	usage	usage	NOUN
ap-6151	355	16	for	for	ADP
ap-6151	355	17	fluid	fluid	ADJ
ap-6151	355	18	flow	flow	NOUN
ap-6151	355	19	simulation	simulation	NOUN
ap-6151	355	20	.	.	PUNCT
ap-6151	356	1	7	7	X
ap-6151	356	2	.	.	X
ap-6151	356	3	conclusions	conclusion	NOUN
ap-6151	356	4	in	in	ADP
ap-6151	356	5	this	this	DET
ap-6151	356	6	paper	paper	NOUN
ap-6151	356	7	,	,	PUNCT
ap-6151	356	8	we	we	PRON
ap-6151	356	9	have	have	AUX
ap-6151	356	10	presented	present	VERB
ap-6151	356	11	numerical	numerical	ADJ
ap-6151	356	12	results	result	NOUN
ap-6151	356	13	obtained	obtain	VERB
ap-6151	356	14	by	by	ADP
ap-6151	356	15	our	our	PRON
ap-6151	356	16	in	in	ADP
ap-6151	356	17	-	-	PUNCT
ap-6151	356	18	house	house	NOUN
ap-6151	356	19	incompressible	incompressible	ADJ
ap-6151	356	20	fluid	fluid	NOUN
ap-6151	356	21	flow	flow	NOUN
ap-6151	356	22	solver	solver	ADV
ap-6151	356	23	based	base	VERB
ap-6151	356	24	on	on	ADP
ap-6151	356	25	isogeometric	isogeometric	ADJ
ap-6151	356	26	analysis	analysis	NOUN
ap-6151	356	27	and	and	CCONJ
ap-6151	356	28	we	we	PRON
ap-6151	356	29	have	have	AUX
ap-6151	356	30	compared	compare	VERB
ap-6151	356	31	our	our	PRON
ap-6151	356	32	results	result	NOUN
ap-6151	356	33	with	with	ADP
ap-6151	356	34	the	the	DET
ap-6151	356	35	results	result	NOUN
ap-6151	356	36	obtained	obtain	VERB
ap-6151	356	37	by	by	ADP
ap-6151	356	38	a	a	DET
ap-6151	356	39	standard	standard	ADJ
ap-6151	356	40	package	package	NOUN
ap-6151	356	41	based	base	VERB
ap-6151	356	42	on	on	ADP
ap-6151	356	43	finite	finite	ADJ
ap-6151	356	44	element	element	NOUN
ap-6151	356	45	method	method	NOUN
ap-6151	356	46	fenics	fenic	NOUN
ap-6151	356	47	and	and	CCONJ
ap-6151	356	48	with	with	ADP
ap-6151	356	49	the	the	DET
ap-6151	356	50	selected	select	VERB
ap-6151	356	51	reference	reference	NOUN
ap-6151	356	52	solutions	solution	NOUN
ap-6151	356	53	.	.	PUNCT
ap-6151	357	1	for	for	ADP
ap-6151	357	2	this	this	DET
ap-6151	357	3	comparison	comparison	NOUN
ap-6151	357	4	,	,	PUNCT
ap-6151	357	5	we	we	PRON
ap-6151	357	6	have	have	AUX
ap-6151	357	7	chosen	choose	VERB
ap-6151	357	8	the	the	DET
ap-6151	357	9	standard	standard	ADJ
ap-6151	357	10	benchmark	benchmark	NOUN
ap-6151	357	11	problem	problem	NOUN
ap-6151	357	12	for	for	ADP
ap-6151	357	13	incompressible	incompressible	ADJ
ap-6151	357	14	fluid	fluid	ADJ
ap-6151	357	15	flow	flow	NOUN
ap-6151	357	16	simulation	simulation	NOUN
ap-6151	357	17	–	–	PUNCT
ap-6151	357	18	lid	lid	NOUN
ap-6151	357	19	-	-	PUNCT
ap-6151	357	20	driven	drive	VERB
ap-6151	357	21	cavity	cavity	NOUN
ap-6151	357	22	flow	flow	NOUN
ap-6151	357	23	.	.	PUNCT
ap-6151	358	1	our	our	PRON
ap-6151	358	2	experiments	experiment	NOUN
ap-6151	358	3	on	on	ADP
ap-6151	358	4	uniform	uniform	ADJ
ap-6151	358	5	meshes	mesh	NOUN
ap-6151	358	6	have	have	AUX
ap-6151	358	7	shown	show	VERB
ap-6151	358	8	that	that	SCONJ
ap-6151	358	9	even	even	ADV
ap-6151	358	10	for	for	ADP
ap-6151	358	11	coarse	coarse	ADJ
ap-6151	358	12	grids	grid	NOUN
ap-6151	358	13	and	and	CCONJ
ap-6151	358	14	low	low	ADJ
ap-6151	358	15	numbers	number	NOUN
ap-6151	358	16	of	of	ADP
ap-6151	358	17	degrees	degree	NOUN
ap-6151	358	18	44	44	NUM
ap-6151	358	19	vol	vol	NOUN
ap-6151	358	20	.	.	PUNCT
ap-6151	359	1	61	61	NUM
ap-6151	359	2	special	special	ADJ
ap-6151	359	3	issue/2021	issue/2021	NOUN
ap-6151	359	4	numerical	numerical	PROPN
ap-6151	359	5	simulation	simulation	PROPN
ap-6151	359	6	of	of	ADP
ap-6151	359	7	lid	lid	NOUN
ap-6151	359	8	-	-	PUNCT
ap-6151	359	9	driven	drive	VERB
ap-6151	359	10	cavity	cavity	NOUN
ap-6151	359	11	flow	flow	NOUN
ap-6151	359	12	by	by	ADP
ap-6151	359	13	isogeometric	isogeometric	ADJ
ap-6151	359	14	analysis	analysis	NOUN
ap-6151	359	15	figure	figure	NOUN
ap-6151	359	16	7	7	NUM
ap-6151	359	17	.	.	NOUN
ap-6151	359	18	time	time	NOUN
ap-6151	359	19	to	to	PART
ap-6151	359	20	solve	solve	VERB
ap-6151	359	21	the	the	DET
ap-6151	359	22	linear	linear	ADJ
ap-6151	359	23	system	system	NOUN
ap-6151	359	24	arising	arise	VERB
ap-6151	359	25	from	from	ADP
ap-6151	359	26	riga	riga	PROPN
ap-6151	359	27	discretizations	discretization	NOUN
ap-6151	359	28	of	of	ADP
ap-6151	359	29	the	the	DET
ap-6151	359	30	navier	navier	NOUN
ap-6151	359	31	-	-	PUNCT
ap-6151	359	32	stokes	stoke	NOUN
ap-6151	359	33	equation	equation	NOUN
ap-6151	359	34	with	with	ADP
ap-6151	359	35	a	a	DET
ap-6151	359	36	direct	direct	ADJ
ap-6151	359	37	solver	solver	NOUN
ap-6151	359	38	(	(	PUNCT
ap-6151	359	39	pardiso	pardiso	PROPN
ap-6151	359	40	library	library	NOUN
ap-6151	359	41	)	)	PUNCT
ap-6151	359	42	presented	present	VERB
ap-6151	359	43	as	as	ADP
ap-6151	359	44	speed	speed	NOUN
ap-6151	359	45	-	-	PUNCT
ap-6151	359	46	up	up	NOUN
ap-6151	359	47	gained	gain	VERB
ap-6151	359	48	by	by	ADP
ap-6151	359	49	decreasing	decrease	VERB
ap-6151	359	50	the	the	DET
ap-6151	359	51	macro	macro	NOUN
ap-6151	359	52	-	-	NOUN
ap-6151	359	53	elements	element	NOUN
ap-6151	359	54	size	size	NOUN
ap-6151	359	55	.	.	PUNCT
ap-6151	360	1	figure	figure	NOUN
ap-6151	360	2	8	8	NUM
ap-6151	360	3	.	.	PUNCT
ap-6151	361	1	floating	float	VERB
ap-6151	361	2	point	point	NOUN
ap-6151	361	3	operations	operation	NOUN
ap-6151	361	4	needed	need	VERB
ap-6151	361	5	for	for	ADP
ap-6151	361	6	factorization	factorization	NOUN
ap-6151	361	7	during	during	ADP
ap-6151	361	8	solving	solve	VERB
ap-6151	361	9	the	the	DET
ap-6151	361	10	linear	linear	ADJ
ap-6151	361	11	system	system	NOUN
ap-6151	361	12	arising	arise	VERB
ap-6151	361	13	from	from	ADP
ap-6151	361	14	riga	riga	PROPN
ap-6151	361	15	discretizations	discretization	NOUN
ap-6151	361	16	of	of	ADP
ap-6151	361	17	the	the	DET
ap-6151	361	18	navier	navier	NOUN
ap-6151	361	19	-	-	PUNCT
ap-6151	361	20	stokes	stoke	NOUN
ap-6151	361	21	equation	equation	NOUN
ap-6151	361	22	with	with	ADP
ap-6151	361	23	a	a	DET
ap-6151	361	24	direct	direct	ADJ
ap-6151	361	25	solver	solver	NOUN
ap-6151	361	26	(	(	PUNCT
ap-6151	361	27	pardiso	pardiso	PROPN
ap-6151	361	28	library	library	NOUN
ap-6151	361	29	)	)	PUNCT
ap-6151	361	30	presented	present	VERB
ap-6151	361	31	as	as	ADP
ap-6151	361	32	speed	speed	NOUN
ap-6151	361	33	-	-	PUNCT
ap-6151	361	34	up	up	NOUN
ap-6151	361	35	(	(	PUNCT
ap-6151	361	36	reduction	reduction	NOUN
ap-6151	361	37	of	of	ADP
ap-6151	361	38	flops	flop	NOUN
ap-6151	361	39	)	)	PUNCT
ap-6151	361	40	gained	gain	VERB
ap-6151	361	41	by	by	ADP
ap-6151	361	42	decreasing	decrease	VERB
ap-6151	361	43	the	the	DET
ap-6151	361	44	macro	macro	NOUN
ap-6151	361	45	-	-	NOUN
ap-6151	361	46	elements	element	NOUN
ap-6151	361	47	size	size	NOUN
ap-6151	361	48	.	.	PUNCT
ap-6151	362	1	figure	figure	NOUN
ap-6151	362	2	9	9	NUM
ap-6151	362	3	.	.	NOUN
ap-6151	362	4	time	time	NOUN
ap-6151	362	5	needed	need	VERB
ap-6151	362	6	for	for	ADP
ap-6151	362	7	assembly	assembly	NOUN
ap-6151	362	8	of	of	ADP
ap-6151	362	9	matrices	matrix	NOUN
ap-6151	362	10	in	in	ADP
ap-6151	362	11	one	one	NUM
ap-6151	362	12	picard	picard	NOUN
ap-6151	362	13	’s	’s	PART
ap-6151	362	14	iteration	iteration	NOUN
ap-6151	362	15	in	in	ADP
ap-6151	362	16	riga	riga	PROPN
ap-6151	362	17	discretizations	discretization	NOUN
ap-6151	362	18	of	of	ADP
ap-6151	362	19	the	the	DET
ap-6151	362	20	navier	navier	NOUN
ap-6151	362	21	-	-	PUNCT
ap-6151	362	22	stokes	stoke	NOUN
ap-6151	362	23	equation	equation	NOUN
ap-6151	362	24	presented	present	VERB
ap-6151	362	25	as	as	ADP
ap-6151	362	26	speed	speed	NOUN
ap-6151	362	27	-	-	PUNCT
ap-6151	362	28	up	up	NOUN
ap-6151	362	29	gained	gain	VERB
ap-6151	362	30	by	by	ADP
ap-6151	362	31	decreasing	decrease	VERB
ap-6151	362	32	the	the	DET
ap-6151	362	33	macro	macro	NOUN
ap-6151	362	34	-	-	NOUN
ap-6151	362	35	elements	element	NOUN
ap-6151	362	36	size	size	NOUN
ap-6151	362	37	.	.	PUNCT
ap-6151	363	1	45	45	NUM
ap-6151	363	2	b.	b.	PROPN
ap-6151	363	3	bastl	bastl	PROPN
ap-6151	363	4	,	,	PUNCT
ap-6151	363	5	m.	m.	NOUN
ap-6151	363	6	brandner	brandner	NOUN
ap-6151	363	7	,	,	PUNCT
ap-6151	363	8	j.	j.	PROPN
ap-6151	363	9	egermaier	egermaier	PROPN
ap-6151	363	10	et	et	PROPN
ap-6151	363	11	al	al	PROPN
ap-6151	363	12	.	.	PROPN
ap-6151	363	13	acta	acta	PROPN
ap-6151	363	14	polytechnica	polytechnica	PROPN
ap-6151	363	15	of	of	ADP
ap-6151	363	16	freedom	freedom	NOUN
ap-6151	363	17	,	,	PUNCT
ap-6151	363	18	isogeometric	isogeometric	ADJ
ap-6151	363	19	analysis	analysis	NOUN
ap-6151	363	20	based	base	VERB
ap-6151	363	21	on	on	ADP
ap-6151	363	22	inf	inf	ADJ
ap-6151	363	23	-	-	PUNCT
ap-6151	363	24	sup	sup	NOUN
ap-6151	363	25	stable	stable	ADJ
ap-6151	363	26	b	b	NOUN
ap-6151	363	27	-	-	PUNCT
ap-6151	363	28	spline	spline	ADJ
ap-6151	363	29	discretization	discretization	NOUN
ap-6151	363	30	space	space	NOUN
ap-6151	363	31	pairs	pair	NOUN
ap-6151	363	32	of	of	ADP
ap-6151	363	33	higher	high	ADJ
ap-6151	363	34	degree	degree	NOUN
ap-6151	363	35	and	and	CCONJ
ap-6151	363	36	continuity	continuity	NOUN
ap-6151	363	37	can	can	AUX
ap-6151	363	38	provide	provide	VERB
ap-6151	363	39	results	result	NOUN
ap-6151	363	40	which	which	PRON
ap-6151	363	41	match	match	VERB
ap-6151	363	42	reference	reference	NOUN
ap-6151	363	43	solutions	solution	NOUN
ap-6151	363	44	available	available	ADJ
ap-6151	363	45	in	in	ADP
ap-6151	363	46	the	the	DET
ap-6151	363	47	literature	literature	NOUN
ap-6151	363	48	very	very	ADV
ap-6151	363	49	well	well	ADV
ap-6151	363	50	.	.	PUNCT
ap-6151	364	1	further	far	ADV
ap-6151	364	2	,	,	PUNCT
ap-6151	364	3	comparing	compare	VERB
ap-6151	364	4	these	these	DET
ap-6151	364	5	results	result	NOUN
ap-6151	364	6	with	with	ADP
ap-6151	364	7	results	result	NOUN
ap-6151	364	8	obtained	obtain	VERB
ap-6151	364	9	by	by	ADP
ap-6151	364	10	fenics	fenic	NOUN
ap-6151	364	11	(	(	PUNCT
ap-6151	364	12	based	base	VERB
ap-6151	364	13	on	on	ADP
ap-6151	364	14	inf	inf	ADJ
ap-6151	364	15	-	-	PUNCT
ap-6151	364	16	sup	sup	NOUN
ap-6151	364	17	stable	stable	ADJ
ap-6151	364	18	finite	finite	NOUN
ap-6151	364	19	element	element	NOUN
ap-6151	364	20	discretization	discretization	NOUN
ap-6151	364	21	space	space	NOUN
ap-6151	364	22	pairs	pair	NOUN
ap-6151	364	23	)	)	PUNCT
ap-6151	364	24	,	,	PUNCT
ap-6151	364	25	isogeometric	isogeometric	ADJ
ap-6151	364	26	analysis	analysis	NOUN
ap-6151	364	27	has	have	AUX
ap-6151	364	28	produced	produce	VERB
ap-6151	364	29	the	the	DET
ap-6151	364	30	solutions	solution	NOUN
ap-6151	364	31	with	with	ADP
ap-6151	364	32	higher	high	ADJ
ap-6151	364	33	accuracy	accuracy	NOUN
ap-6151	364	34	for	for	ADP
ap-6151	364	35	meshes	mesh	NOUN
ap-6151	364	36	with	with	ADP
ap-6151	364	37	the	the	DET
ap-6151	364	38	approximately	approximately	ADV
ap-6151	364	39	same	same	ADJ
ap-6151	364	40	number	number	NOUN
ap-6151	364	41	of	of	ADP
ap-6151	364	42	degrees	degree	NOUN
ap-6151	364	43	of	of	ADP
ap-6151	364	44	freedom	freedom	NOUN
ap-6151	364	45	.	.	PUNCT
ap-6151	365	1	as	as	ADP
ap-6151	365	2	the	the	DET
ap-6151	365	3	best	good	ADJ
ap-6151	365	4	case	case	NOUN
ap-6151	365	5	of	of	ADP
ap-6151	365	6	the	the	DET
ap-6151	365	7	tested	test	VERB
ap-6151	365	8	cases	case	NOUN
ap-6151	365	9	,	,	PUNCT
ap-6151	365	10	we	we	PRON
ap-6151	365	11	have	have	AUX
ap-6151	365	12	identified	identify	VERB
ap-6151	365	13	b	b	NUM
ap-6151	365	14	-	-	PUNCT
ap-6151	365	15	spline	spline	ADJ
ap-6151	365	16	discretization	discretization	NOUN
ap-6151	365	17	space	space	NOUN
ap-6151	365	18	pair	pair	NOUN
ap-6151	365	19	s4	s4	PROPN
ap-6151	365	20	2	2	NUM
ap-6151	365	21	×	×	NOUN
ap-6151	365	22	s3	s3	PROPN
ap-6151	365	23	2	2	NUM
ap-6151	365	24	which	which	PRON
ap-6151	365	25	produces	produce	VERB
ap-6151	365	26	an	an	DET
ap-6151	365	27	accurate	accurate	ADJ
ap-6151	365	28	solution	solution	NOUN
ap-6151	365	29	even	even	ADV
ap-6151	365	30	for	for	ADP
ap-6151	365	31	a	a	DET
ap-6151	365	32	low	low	ADJ
ap-6151	365	33	number	number	NOUN
ap-6151	365	34	of	of	ADP
ap-6151	365	35	degrees	degree	NOUN
ap-6151	365	36	of	of	ADP
ap-6151	365	37	freedom	freedom	NOUN
ap-6151	365	38	(	(	PUNCT
ap-6151	365	39	about	about	ADV
ap-6151	365	40	40000	40000	NUM
ap-6151	365	41	dofs	dof	NOUN
ap-6151	365	42	)	)	PUNCT
ap-6151	365	43	and	and	CCONJ
ap-6151	365	44	which	which	PRON
ap-6151	365	45	corresponds	correspond	VERB
ap-6151	365	46	to	to	ADP
ap-6151	365	47	the	the	DET
ap-6151	365	48	solutions	solution	NOUN
ap-6151	365	49	in	in	ADP
ap-6151	365	50	fenics	fenic	NOUN
ap-6151	365	51	on	on	ADP
ap-6151	365	52	the	the	DET
ap-6151	365	53	meshes	mesh	NOUN
ap-6151	365	54	with	with	ADP
ap-6151	365	55	four	four	NUM
ap-6151	365	56	times	time	NOUN
ap-6151	365	57	more	more	ADJ
ap-6151	365	58	degrees	degree	NOUN
ap-6151	365	59	of	of	ADP
ap-6151	365	60	freedom	freedom	NOUN
ap-6151	365	61	.	.	PUNCT
ap-6151	366	1	moreover	moreover	ADV
ap-6151	366	2	,	,	PUNCT
ap-6151	366	3	the	the	DET
ap-6151	366	4	solutions	solution	NOUN
ap-6151	366	5	obtained	obtain	VERB
ap-6151	366	6	for	for	ADP
ap-6151	366	7	s4	s4	PROPN
ap-6151	366	8	2	2	NUM
ap-6151	366	9	×	×	NOUN
ap-6151	366	10	s3	s3	PROPN
ap-6151	366	11	2	2	NUM
ap-6151	366	12	are	be	AUX
ap-6151	366	13	superior	superior	ADJ
ap-6151	366	14	to	to	ADP
ap-6151	366	15	the	the	DET
ap-6151	366	16	solutions	solution	NOUN
ap-6151	366	17	obtained	obtain	VERB
ap-6151	366	18	for	for	ADP
ap-6151	366	19	s4	s4	PROPN
ap-6151	366	20	0	0	NUM
ap-6151	366	21	×	×	PROPN
ap-6151	366	22	s3	s3	PROPN
ap-6151	366	23	0	0	NUM
ap-6151	366	24	for	for	ADP
ap-6151	366	25	the	the	DET
ap-6151	366	26	similar	similar	ADJ
ap-6151	366	27	number	number	NOUN
ap-6151	366	28	of	of	ADP
ap-6151	366	29	degrees	degree	NOUN
ap-6151	366	30	of	of	ADP
ap-6151	366	31	freedom	freedom	NOUN
ap-6151	366	32	,	,	PUNCT
ap-6151	366	33	which	which	PRON
ap-6151	366	34	confirms	confirm	VERB
ap-6151	366	35	the	the	DET
ap-6151	366	36	superiority	superiority	NOUN
ap-6151	366	37	of	of	ADP
ap-6151	366	38	b	b	NOUN
ap-6151	366	39	-	-	PUNCT
ap-6151	366	40	spline	spline	ADJ
ap-6151	366	41	discretization	discretization	NOUN
ap-6151	366	42	spaces	space	NOUN
ap-6151	366	43	of	of	ADP
ap-6151	366	44	high	high	ADJ
ap-6151	366	45	continuity	continuity	NOUN
ap-6151	366	46	.	.	PUNCT
ap-6151	367	1	further	far	ADV
ap-6151	367	2	,	,	PUNCT
ap-6151	367	3	our	our	PRON
ap-6151	367	4	experiments	experiment	NOUN
ap-6151	367	5	have	have	AUX
ap-6151	367	6	indicated	indicate	VERB
ap-6151	367	7	a	a	DET
ap-6151	367	8	small	small	ADJ
ap-6151	367	9	stabilization	stabilization	NOUN
ap-6151	367	10	effect	effect	NOUN
ap-6151	367	11	of	of	ADP
ap-6151	367	12	high	high	ADJ
ap-6151	367	13	continuity	continuity	NOUN
ap-6151	367	14	b	b	NOUN
ap-6151	367	15	-	-	PUNCT
ap-6151	367	16	spline	spline	ADJ
ap-6151	367	17	discretization	discretization	NOUN
ap-6151	367	18	space	space	NOUN
ap-6151	367	19	pairs	pair	NOUN
ap-6151	367	20	.	.	PUNCT
ap-6151	368	1	however	however	ADV
ap-6151	368	2	,	,	PUNCT
ap-6151	368	3	this	this	DET
ap-6151	368	4	effect	effect	NOUN
ap-6151	368	5	is	be	AUX
ap-6151	368	6	much	much	ADV
ap-6151	368	7	smaller	small	ADJ
ap-6151	368	8	than	than	ADP
ap-6151	368	9	the	the	DET
ap-6151	368	10	effect	effect	NOUN
ap-6151	368	11	of	of	ADP
ap-6151	368	12	stabilization	stabilization	NOUN
ap-6151	368	13	by	by	ADP
ap-6151	368	14	supg	supg	NOUN
ap-6151	368	15	method	method	NOUN
ap-6151	368	16	.	.	PUNCT
ap-6151	369	1	finally	finally	ADV
ap-6151	369	2	,	,	PUNCT
ap-6151	369	3	we	we	PRON
ap-6151	369	4	have	have	AUX
ap-6151	369	5	shown	show	VERB
ap-6151	369	6	numerically	numerically	ADV
ap-6151	369	7	that	that	SCONJ
ap-6151	369	8	the	the	DET
ap-6151	369	9	idea	idea	NOUN
ap-6151	369	10	of	of	ADP
ap-6151	369	11	riga	riga	PROPN
ap-6151	369	12	method	method	NOUN
ap-6151	369	13	is	be	AUX
ap-6151	369	14	also	also	ADV
ap-6151	369	15	valid	valid	ADJ
ap-6151	369	16	for	for	ADP
ap-6151	369	17	the	the	DET
ap-6151	369	18	steady	steady	ADJ
ap-6151	369	19	navier	navier	NOUN
ap-6151	369	20	-	-	PUNCT
ap-6151	369	21	stokes	stoke	NOUN
ap-6151	369	22	equations	equation	NOUN
ap-6151	369	23	,	,	PUNCT
ap-6151	369	24	i.e.	i.e.	X
ap-6151	369	25	,	,	PUNCT
ap-6151	369	26	inserting	insert	VERB
ap-6151	369	27	suitable	suitable	ADJ
ap-6151	369	28	c0	c0	NOUN
ap-6151	369	29	separators	separator	NOUN
ap-6151	369	30	helps	help	VERB
ap-6151	369	31	to	to	PART
ap-6151	369	32	decrease	decrease	VERB
ap-6151	369	33	the	the	DET
ap-6151	369	34	time	time	NOUN
ap-6151	369	35	needed	need	VERB
ap-6151	369	36	for	for	ADP
ap-6151	369	37	solving	solve	VERB
ap-6151	369	38	linear	linear	NOUN
ap-6151	369	39	system	system	NOUN
ap-6151	369	40	using	use	VERB
ap-6151	369	41	a	a	DET
ap-6151	369	42	direct	direct	ADJ
ap-6151	369	43	solver	solver	NOUN
ap-6151	369	44	.	.	PUNCT
ap-6151	370	1	acknowledgements	acknowledgement	NOUN
ap-6151	370	2	this	this	DET
ap-6151	370	3	work	work	NOUN
ap-6151	370	4	was	be	AUX
ap-6151	370	5	supported	support	VERB
ap-6151	370	6	by	by	ADP
ap-6151	370	7	the	the	DET
ap-6151	370	8	czech	czech	PROPN
ap-6151	370	9	science	science	NOUN
ap-6151	370	10	foundation	foundation	PROPN
ap-6151	370	11	(	(	PUNCT
ap-6151	370	12	ga	ga	PROPN
ap-6151	370	13	čr	čr	NOUN
ap-6151	370	14	)	)	PUNCT
ap-6151	370	15	grant	grant	VERB
ap-6151	370	16	no	no	NOUN
ap-6151	370	17	.	.	NOUN
ap-6151	370	18	19	19	NUM
ap-6151	370	19	-	-	PUNCT
ap-6151	370	20	04006s	04006s	NUM
ap-6151	370	21	.	.	PUNCT
ap-6151	371	1	we	we	PRON
ap-6151	371	2	thank	thank	VERB
ap-6151	371	3	to	to	ADP
ap-6151	371	4	all	all	DET
ap-6151	371	5	referees	referee	NOUN
ap-6151	371	6	for	for	ADP
ap-6151	371	7	their	their	PRON
ap-6151	371	8	valuable	valuable	ADJ
ap-6151	371	9	comments	comment	NOUN
ap-6151	371	10	which	which	PRON
ap-6151	371	11	helped	help	VERB
ap-6151	371	12	us	we	PRON
ap-6151	371	13	to	to	PART
ap-6151	371	14	improve	improve	VERB
ap-6151	371	15	the	the	DET
ap-6151	371	16	paper	paper	NOUN
ap-6151	371	17	.	.	PUNCT
ap-6151	372	1	references	reference	NOUN
ap-6151	372	2	[	[	X
ap-6151	372	3	1	1	NUM
ap-6151	372	4	]	]	PUNCT
ap-6151	372	5	h.	h.	NOUN
ap-6151	372	6	versteeg	versteeg	PROPN
ap-6151	372	7	,	,	PUNCT
ap-6151	372	8	w.	w.	PROPN
ap-6151	372	9	malalasekera	malalasekera	PROPN
ap-6151	372	10	.	.	PUNCT
ap-6151	373	1	an	an	DET
ap-6151	373	2	introduction	introduction	NOUN
ap-6151	373	3	to	to	ADP
ap-6151	373	4	computational	computational	ADJ
ap-6151	373	5	fluid	fluid	ADJ
ap-6151	373	6	dynamics	dynamic	NOUN
ap-6151	373	7	second	second	NOUN
ap-6151	373	8	edition	edition	NOUN
ap-6151	373	9	.	.	PUNCT
ap-6151	374	1	prentice	prentice	PROPN
ap-6151	374	2	hall	hall	PROPN
ap-6151	374	3	,	,	PUNCT
ap-6151	374	4	2007	2007	NUM
ap-6151	374	5	.	.	PUNCT
ap-6151	375	1	[	[	X
ap-6151	375	2	2	2	X
ap-6151	375	3	]	]	X
ap-6151	375	4	y.	y.	PROPN
ap-6151	375	5	saad	saad	PROPN
ap-6151	375	6	.	.	PUNCT
ap-6151	376	1	iterative	iterative	NOUN
ap-6151	376	2	methods	method	NOUN
ap-6151	376	3	for	for	ADP
ap-6151	376	4	sparse	sparse	ADJ
ap-6151	376	5	linear	linear	ADJ
ap-6151	376	6	systems	system	NOUN
ap-6151	376	7	.	.	PUNCT
ap-6151	377	1	siam	siam	PROPN
ap-6151	377	2	,	,	PUNCT
ap-6151	377	3	philadelphia	philadelphia	PROPN
ap-6151	377	4	,	,	PUNCT
ap-6151	377	5	2003	2003	NUM
ap-6151	377	6	.	.	PUNCT
ap-6151	378	1	doi:10.1137/1.9780898718003	doi:10.1137/1.9780898718003	NOUN
ap-6151	378	2	.	.	PUNCT
ap-6151	379	1	[	[	X
ap-6151	379	2	3	3	X
ap-6151	379	3	]	]	X
ap-6151	379	4	h.	h.	PROPN
ap-6151	379	5	c.	c.	PROPN
ap-6151	379	6	elman	elman	PROPN
ap-6151	379	7	,	,	PUNCT
ap-6151	379	8	d.	d.	PROPN
ap-6151	379	9	silvester	silvester	PROPN
ap-6151	379	10	,	,	PUNCT
ap-6151	379	11	a.	a.	PROPN
ap-6151	379	12	j.	j.	PROPN
ap-6151	379	13	wathen	wathen	PROPN
ap-6151	379	14	.	.	PUNCT
ap-6151	380	1	finite	finite	PROPN
ap-6151	380	2	elements	element	NOUN
ap-6151	380	3	and	and	CCONJ
ap-6151	380	4	fast	fast	ADJ
ap-6151	380	5	iterative	iterative	NOUN
ap-6151	380	6	solvers	solver	NOUN
ap-6151	380	7	with	with	ADP
ap-6151	380	8	applications	application	NOUN
ap-6151	380	9	in	in	ADP
ap-6151	380	10	incompressible	incompressible	ADJ
ap-6151	380	11	fluid	fluid	ADJ
ap-6151	380	12	dynamics	dynamic	NOUN
ap-6151	380	13	.	.	PUNCT
ap-6151	381	1	oxford	oxford	PROPN
ap-6151	381	2	university	university	PROPN
ap-6151	381	3	press	press	NOUN
ap-6151	381	4	,	,	PUNCT
ap-6151	381	5	2014	2014	NUM
ap-6151	381	6	.	.	PUNCT
ap-6151	382	1	doi:10.1093	doi:10.1093	NOUN
ap-6151	382	2	/	/	SYM
ap-6151	382	3	acprof	acprof	NOUN
ap-6151	382	4	:	:	PUNCT
ap-6151	382	5	oso/9780199678792.001.0001	oso/9780199678792.001.0001	ADJ
ap-6151	382	6	.	.	PUNCT
ap-6151	383	1	[	[	X
ap-6151	383	2	4	4	X
ap-6151	383	3	]	]	PUNCT
ap-6151	383	4	t.	t.	PROPN
ap-6151	383	5	hughes	hughes	PROPN
ap-6151	383	6	,	,	PUNCT
ap-6151	383	7	j.	j.	PROPN
ap-6151	383	8	cottrell	cottrell	PROPN
ap-6151	383	9	,	,	PUNCT
ap-6151	383	10	y.	y.	PROPN
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ap-6151	383	12	.	.	PUNCT
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ap-6151	384	3	:	:	PUNCT
ap-6151	384	4	cad	cad	NOUN
ap-6151	384	5	,	,	PUNCT
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ap-6151	384	8	,	,	PUNCT
ap-6151	384	9	nurbs	nurb	NOUN
ap-6151	384	10	,	,	PUNCT
ap-6151	384	11	exact	exact	ADJ
ap-6151	384	12	geometry	geometry	NOUN
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ap-6151	384	14	mesh	mesh	NOUN
ap-6151	384	15	refinement	refinement	NOUN
ap-6151	384	16	.	.	PUNCT
ap-6151	385	1	computer	computer	NOUN
ap-6151	385	2	methods	method	NOUN
ap-6151	385	3	in	in	ADP
ap-6151	385	4	applied	applied	ADJ
ap-6151	385	5	mechanics	mechanic	NOUN
ap-6151	385	6	and	and	CCONJ
ap-6151	385	7	engineering	engineering	NOUN
ap-6151	385	8	194(39–41):4135–4195	194(39–41):4135–4195	NUM
ap-6151	385	9	,	,	PUNCT
ap-6151	385	10	2005	2005	NUM
ap-6151	385	11	.	.	PUNCT
ap-6151	386	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	386	2	/	/	SYM
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ap-6151	386	4	.	.	PUNCT
ap-6151	387	1	[	[	X
ap-6151	387	2	5	5	X
ap-6151	387	3	]	]	PUNCT
ap-6151	387	4	j.	j.	PROPN
ap-6151	387	5	cottrell	cottrell	PROPN
ap-6151	387	6	,	,	PUNCT
ap-6151	387	7	t.	t.	PROPN
ap-6151	387	8	hughes	hughes	PROPN
ap-6151	387	9	,	,	PUNCT
ap-6151	387	10	y.	y.	PROPN
ap-6151	387	11	bazilevs	bazilevs	PROPN
ap-6151	387	12	.	.	PUNCT
ap-6151	388	1	isogeometric	isogeometric	ADJ
ap-6151	388	2	analysis	analysis	NOUN
ap-6151	388	3	:	:	PUNCT
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ap-6151	388	5	integration	integration	NOUN
ap-6151	388	6	of	of	ADP
ap-6151	388	7	cad	cad	PROPN
ap-6151	388	8	and	and	CCONJ
ap-6151	388	9	fea	fea	PROPN
ap-6151	388	10	.	.	PUNCT
ap-6151	389	1	john	john	PROPN
ap-6151	389	2	wiley	wiley	PROPN
ap-6151	389	3	&	&	CCONJ
ap-6151	389	4	sons	sons	PROPN
ap-6151	389	5	,	,	PUNCT
ap-6151	389	6	ltd	ltd	PROPN
ap-6151	389	7	2009	2009	NUM
ap-6151	389	8	.	.	PUNCT
ap-6151	390	1	[	[	X
ap-6151	390	2	6	6	NUM
ap-6151	390	3	]	]	PUNCT
ap-6151	390	4	l.	l.	PROPN
ap-6151	390	5	piegl	piegl	PROPN
ap-6151	390	6	,	,	PUNCT
ap-6151	390	7	w.	w.	PROPN
ap-6151	390	8	tiller	tiller	NOUN
ap-6151	390	9	.	.	PUNCT
ap-6151	391	1	the	the	DET
ap-6151	391	2	nurbs	nurbs	PROPN
ap-6151	391	3	book	book	PROPN
ap-6151	391	4	.	.	PUNCT
ap-6151	391	5	springer	springer	PROPN
ap-6151	391	6	verlag	verlag	PROPN
ap-6151	391	7	,	,	PUNCT
ap-6151	391	8	1997	1997	NUM
ap-6151	391	9	.	.	PUNCT
ap-6151	392	1	[	[	X
ap-6151	392	2	7	7	NUM
ap-6151	392	3	]	]	PUNCT
ap-6151	392	4	a.	a.	NOUN
ap-6151	392	5	falini	falini	PROPN
ap-6151	392	6	,	,	PUNCT
ap-6151	392	7	c.	c.	PROPN
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ap-6151	392	9	,	,	PUNCT
ap-6151	392	10	t.	t.	PROPN
ap-6151	392	11	kanduč	kanduč	PROPN
ap-6151	392	12	,	,	PUNCT
ap-6151	392	13	et	et	PROPN
ap-6151	392	14	al	al	PROPN
ap-6151	392	15	.	.	PUNCT
ap-6151	393	1	an	an	DET
ap-6151	393	2	adaptive	adaptive	ADJ
ap-6151	393	3	iga	iga	PROPN
ap-6151	393	4	-	-	PUNCT
ap-6151	393	5	bem	bem	PROPN
ap-6151	393	6	with	with	ADP
ap-6151	393	7	hierarchical	hierarchical	ADJ
ap-6151	393	8	b	b	NOUN
ap-6151	393	9	-	-	PUNCT
ap-6151	393	10	splines	spline	NOUN
ap-6151	393	11	based	base	VERB
ap-6151	393	12	on	on	ADP
ap-6151	393	13	quasi	quasi	ADJ
ap-6151	393	14	-	-	ADJ
ap-6151	393	15	interpolation	interpolation	ADJ
ap-6151	393	16	quadrature	quadrature	NOUN
ap-6151	393	17	schemes	scheme	NOUN
ap-6151	393	18	.	.	PUNCT
ap-6151	394	1	international	international	ADJ
ap-6151	394	2	journal	journal	PROPN
ap-6151	394	3	for	for	ADP
ap-6151	394	4	numerical	numerical	ADJ
ap-6151	394	5	methods	method	NOUN
ap-6151	394	6	in	in	ADP
ap-6151	394	7	engineering	engineer	VERB
ap-6151	394	8	117(10):1038–1058	117(10):1038–1058	NUM
ap-6151	394	9	,	,	PUNCT
ap-6151	394	10	2018	2018	NUM
ap-6151	394	11	.	.	PUNCT
ap-6151	395	1	doi:10.1002	doi:10.1002	NOUN
ap-6151	395	2	/	/	SYM
ap-6151	395	3	nme.5990	nme.5990	NUM
ap-6151	395	4	.	.	PUNCT
ap-6151	396	1	[	[	X
ap-6151	396	2	8	8	NUM
ap-6151	396	3	]	]	X
ap-6151	396	4	g.	g.	PROPN
ap-6151	396	5	farin	farin	PROPN
ap-6151	396	6	,	,	PUNCT
ap-6151	396	7	d.	d.	PROPN
ap-6151	396	8	hansford	hansford	PROPN
ap-6151	396	9	.	.	PUNCT
ap-6151	397	1	discrete	discrete	ADJ
ap-6151	397	2	coons	coon	NOUN
ap-6151	397	3	patches	patch	NOUN
ap-6151	397	4	.	.	PUNCT
ap-6151	398	1	computer	computer	NOUN
ap-6151	398	2	aided	aid	VERB
ap-6151	398	3	geometric	geometric	ADJ
ap-6151	398	4	design	design	NOUN
ap-6151	398	5	16:691–700	16:691–700	NUM
ap-6151	398	6	,	,	PUNCT
ap-6151	398	7	1999	1999	NUM
ap-6151	398	8	.	.	PUNCT
ap-6151	399	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	399	2	/	/	SYM
ap-6151	399	3	s0167	s0167	PROPN
ap-6151	399	4	-	-	PUNCT
ap-6151	399	5	8396(99)00031	8396(99)00031	NOUN
ap-6151	399	6	-	-	PUNCT
ap-6151	399	7	x.	x.	NOUN
ap-6151	400	1	[	[	X
ap-6151	400	2	9	9	X
ap-6151	400	3	]	]	PUNCT
ap-6151	400	4	j.	j.	PROPN
ap-6151	400	5	gravesen	gravesen	PROPN
ap-6151	400	6	,	,	PUNCT
ap-6151	400	7	a.	a.	NOUN
ap-6151	400	8	evgrafov	evgrafov	PROPN
ap-6151	400	9	,	,	PUNCT
ap-6151	400	10	d.	d.	PROPN
ap-6151	400	11	nguyen	nguyen	PROPN
ap-6151	400	12	,	,	PUNCT
ap-6151	400	13	p.	p.	PROPN
ap-6151	400	14	nørtoft	nørtoft	PROPN
ap-6151	400	15	.	.	PUNCT
ap-6151	401	1	planar	planar	ADJ
ap-6151	401	2	parametrization	parametrization	NOUN
ap-6151	401	3	in	in	ADP
ap-6151	401	4	isogeometric	isogeometric	ADJ
ap-6151	401	5	analysis	analysis	NOUN
ap-6151	401	6	.	.	PUNCT
ap-6151	402	1	in	in	ADP
ap-6151	402	2	international	international	ADJ
ap-6151	402	3	conference	conference	NOUN
ap-6151	402	4	on	on	ADP
ap-6151	402	5	mathematical	mathematical	ADJ
ap-6151	402	6	methods	method	NOUN
ap-6151	402	7	for	for	ADP
ap-6151	402	8	curves	curve	NOUN
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ap-6151	402	10	surfaces	surface	NOUN
ap-6151	402	11	,	,	PUNCT
ap-6151	402	12	pp	pp	ADV
ap-6151	402	13	.	.	PUNCT
ap-6151	403	1	189–212	189–212	NUM
ap-6151	403	2	.	.	PUNCT
ap-6151	403	3	springer	springer	NOUN
ap-6151	403	4	,	,	PUNCT
ap-6151	403	5	2012	2012	NUM
ap-6151	403	6	.	.	PUNCT
ap-6151	404	1	doi:10.1007/978	doi:10.1007/978	ADJ
ap-6151	404	2	-	-	PUNCT
ap-6151	404	3	3	3	NUM
ap-6151	404	4	-	-	PUNCT
ap-6151	404	5	642	642	NUM
ap-6151	404	6	-	-	PUNCT
ap-6151	404	7	54382	54382	NUM
ap-6151	404	8	-	-	SYM
ap-6151	404	9	1_11	1_11	NUM
ap-6151	404	10	.	.	PUNCT
ap-6151	405	1	[	[	X
ap-6151	405	2	10	10	NUM
ap-6151	405	3	]	]	PUNCT
ap-6151	405	4	x.	x.	NOUN
ap-6151	405	5	nian	nian	PROPN
ap-6151	405	6	,	,	PUNCT
ap-6151	405	7	f.	f.	PROPN
ap-6151	405	8	chen	chen	PROPN
ap-6151	405	9	.	.	PUNCT
ap-6151	406	1	planar	planar	ADJ
ap-6151	406	2	domain	domain	NOUN
ap-6151	406	3	parameterization	parameterization	NOUN
ap-6151	406	4	for	for	ADP
ap-6151	406	5	isogeometric	isogeometric	ADJ
ap-6151	406	6	analysis	analysis	NOUN
ap-6151	406	7	based	base	VERB
ap-6151	406	8	on	on	ADP
ap-6151	406	9	teichmüller	teichmüller	NOUN
ap-6151	406	10	mapping	mapping	NOUN
ap-6151	406	11	.	.	PUNCT
ap-6151	407	1	computer	computer	NOUN
ap-6151	407	2	methods	method	NOUN
ap-6151	407	3	in	in	ADP
ap-6151	407	4	applied	applied	ADJ
ap-6151	407	5	mechanics	mechanic	NOUN
ap-6151	407	6	and	and	CCONJ
ap-6151	407	7	engineering	engineering	NOUN
ap-6151	407	8	311:41–55	311:41–55	NUM
ap-6151	407	9	,	,	PUNCT
ap-6151	407	10	2016	2016	NUM
ap-6151	407	11	.	.	PUNCT
ap-6151	408	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	408	2	/	/	SYM
ap-6151	408	3	j.cma.2016.07.035	j.cma.2016.07.035	PROPN
ap-6151	408	4	.	.	PUNCT
ap-6151	409	1	[	[	X
ap-6151	409	2	11	11	NUM
ap-6151	409	3	]	]	PUNCT
ap-6151	409	4	a.	a.	NOUN
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ap-6151	409	6	,	,	PUNCT
ap-6151	409	7	b.	b.	PROPN
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ap-6151	409	9	,	,	PUNCT
ap-6151	409	10	b.	b.	PROPN
ap-6151	409	11	khoromskij	khoromskij	PROPN
ap-6151	409	12	,	,	PUNCT
ap-6151	409	13	u.	u.	PROPN
ap-6151	409	14	langer	langer	PROPN
ap-6151	409	15	.	.	PUNCT
ap-6151	410	1	low	low	PROPN
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ap-6151	410	4	methods	method	NOUN
ap-6151	410	5	in	in	ADP
ap-6151	410	6	galerkin	galerkin	ADV
ap-6151	410	7	-	-	PUNCT
ap-6151	410	8	based	base	VERB
ap-6151	410	9	isogeometric	isogeometric	ADJ
ap-6151	410	10	analysis	analysis	NOUN
ap-6151	410	11	.	.	PUNCT
ap-6151	411	1	computer	computer	NOUN
ap-6151	411	2	methods	method	NOUN
ap-6151	411	3	in	in	ADP
ap-6151	411	4	applied	applied	ADJ
ap-6151	411	5	mechanics	mechanic	NOUN
ap-6151	411	6	and	and	CCONJ
ap-6151	411	7	engineering	engineer	VERB
ap-6151	411	8	316:1062–1085	316:1062–1085	NUM
ap-6151	411	9	,	,	PUNCT
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ap-6151	411	11	.	.	PUNCT
ap-6151	412	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	412	2	/	/	SYM
ap-6151	412	3	j.cma.2016.11.013	j.cma.2016.11.013	PROPN
ap-6151	412	4	.	.	PUNCT
ap-6151	413	1	[	[	X
ap-6151	413	2	12	12	NUM
ap-6151	413	3	]	]	PUNCT
ap-6151	413	4	m.	m.	NOUN
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ap-6151	413	9	,	,	PUNCT
ap-6151	413	10	b.	b.	PROPN
ap-6151	413	11	jüttler	jüttler	PROPN
ap-6151	413	12	,	,	PUNCT
ap-6151	413	13	et	et	PROPN
ap-6151	413	14	al	al	PROPN
ap-6151	413	15	.	.	PROPN
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ap-6151	413	17	volume	volume	NOUN
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ap-6151	413	20	isogeometric	isogeometric	ADJ
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ap-6151	413	22	.	.	PUNCT
ap-6151	414	1	in	in	ADP
ap-6151	414	2	i	i	PRON
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ap-6151	414	13	.	.	PUNCT
ap-6151	415	1	19–44	19–44	NUM
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ap-6151	415	4	,	,	PUNCT
ap-6151	415	5	2009	2009	NUM
ap-6151	415	6	.	.	PUNCT
ap-6151	416	1	doi:10.1007/978	doi:10.1007/978	ADJ
ap-6151	416	2	-	-	PUNCT
ap-6151	416	3	3	3	NUM
ap-6151	416	4	-	-	PUNCT
ap-6151	416	5	642	642	NUM
ap-6151	416	6	-	-	PUNCT
ap-6151	416	7	03596	03596	NUM
ap-6151	416	8	-	-	PUNCT
ap-6151	416	9	8_2	8_2	NUM
ap-6151	416	10	.	.	PUNCT
ap-6151	417	1	[	[	X
ap-6151	417	2	13	13	NUM
ap-6151	417	3	]	]	PUNCT
ap-6151	417	4	p.	p.	NOUN
ap-6151	417	5	anděl	anděl	PROPN
ap-6151	417	6	,	,	PUNCT
ap-6151	417	7	b.	b.	PROPN
ap-6151	417	8	bastl	bastl	PROPN
ap-6151	417	9	,	,	PUNCT
ap-6151	417	10	k.	k.	PROPN
ap-6151	417	11	slabá	slabá	PROPN
ap-6151	417	12	.	.	PUNCT
ap-6151	418	1	parameterizations	parameterization	NOUN
ap-6151	418	2	of	of	ADP
ap-6151	418	3	generalized	generalized	ADJ
ap-6151	418	4	nurbs	nurbs	NOUN
ap-6151	418	5	volumes	volume	NOUN
ap-6151	418	6	of	of	ADP
ap-6151	418	7	revolution	revolution	NOUN
ap-6151	418	8	.	.	PUNCT
ap-6151	419	1	engineering	engineering	NOUN
ap-6151	419	2	mechanics	mechanic	NOUN
ap-6151	419	3	19:293–306	19:293–306	PROPN
ap-6151	419	4	,	,	PUNCT
ap-6151	419	5	2012	2012	NUM
ap-6151	419	6	.	.	PUNCT
ap-6151	420	1	[	[	X
ap-6151	420	2	14	14	NUM
ap-6151	420	3	]	]	PUNCT
ap-6151	420	4	t.	t.	PROPN
ap-6151	420	5	hughes	hughes	PROPN
ap-6151	420	6	,	,	PUNCT
ap-6151	420	7	a.	a.	PROPN
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ap-6151	420	9	,	,	PUNCT
ap-6151	420	10	g.	g.	PROPN
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ap-6151	420	12	.	.	PUNCT
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ap-6151	421	4	analysis	analysis	NOUN
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ap-6151	421	11	and	and	CCONJ
ap-6151	421	12	wave	wave	NOUN
ap-6151	421	13	propagation	propagation	NOUN
ap-6151	421	14	:	:	PUNCT
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ap-6151	421	17	p	p	NOUN
ap-6151	421	18	-	-	PUNCT
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ap-6151	421	23	k	k	ADJ
ap-6151	421	24	-	-	PUNCT
ap-6151	421	25	method	method	NOUN
ap-6151	421	26	nurbs	nurb	NOUN
ap-6151	421	27	.	.	PUNCT
ap-6151	422	1	computer	computer	NOUN
ap-6151	422	2	methods	method	NOUN
ap-6151	422	3	in	in	ADP
ap-6151	422	4	applied	applied	ADJ
ap-6151	422	5	mechanics	mechanic	NOUN
ap-6151	422	6	and	and	CCONJ
ap-6151	422	7	engineering	engineering	NOUN
ap-6151	422	8	197:4104–4124	197:4104–4124	NUM
ap-6151	422	9	,	,	PUNCT
ap-6151	422	10	2008	2008	NUM
ap-6151	422	11	.	.	PUNCT
ap-6151	423	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	423	2	/	/	SYM
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ap-6151	423	4	.	.	PUNCT
ap-6151	424	1	[	[	X
ap-6151	424	2	15	15	NUM
ap-6151	424	3	]	]	PUNCT
ap-6151	424	4	a.	a.	NOUN
ap-6151	424	5	tagliabue	tagliabue	PROPN
ap-6151	424	6	,	,	PUNCT
ap-6151	424	7	l.	l.	PROPN
ap-6151	424	8	dedè	dedè	PROPN
ap-6151	424	9	,	,	PUNCT
ap-6151	424	10	a.	a.	NOUN
ap-6151	424	11	quarteroni	quarteroni	NOUN
ap-6151	424	12	.	.	PUNCT
ap-6151	425	1	isogeometric	isogeometric	ADJ
ap-6151	425	2	analysis	analysis	NOUN
ap-6151	425	3	and	and	CCONJ
ap-6151	425	4	error	error	NOUN
ap-6151	425	5	estimates	estimate	NOUN
ap-6151	425	6	for	for	ADP
ap-6151	425	7	high	high	ADJ
ap-6151	425	8	order	order	NOUN
ap-6151	425	9	partial	partial	ADJ
ap-6151	425	10	differential	differential	ADJ
ap-6151	425	11	equations	equation	NOUN
ap-6151	425	12	in	in	ADP
ap-6151	425	13	fluid	fluid	ADJ
ap-6151	425	14	dynamics	dynamic	NOUN
ap-6151	425	15	.	.	PUNCT
ap-6151	426	1	computers	computer	NOUN
ap-6151	426	2	&	&	CCONJ
ap-6151	426	3	fluids	fluid	NOUN
ap-6151	426	4	102:277–303	102:277–303	NUM
ap-6151	426	5	,	,	PUNCT
ap-6151	426	6	2014	2014	NUM
ap-6151	426	7	.	.	PUNCT
ap-6151	427	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	427	2	/	/	SYM
ap-6151	427	3	j.compfluid.2014.07.002	j.compfluid.2014.07.002	PROPN
ap-6151	427	4	.	.	PUNCT
ap-6151	428	1	[	[	X
ap-6151	428	2	16	16	NUM
ap-6151	428	3	]	]	X
ap-6151	428	4	d.	d.	PROPN
ap-6151	428	5	benson	benson	PROPN
ap-6151	428	6	,	,	PUNCT
ap-6151	428	7	y.	y.	PROPN
ap-6151	428	8	bazilevs	bazilevs	PROPN
ap-6151	428	9	,	,	PUNCT
ap-6151	428	10	m.	m.	NOUN
ap-6151	428	11	hsu	hsu	PROPN
ap-6151	428	12	,	,	PUNCT
ap-6151	428	13	t.	t.	PROPN
ap-6151	428	14	hughes	hughes	PROPN
ap-6151	428	15	.	.	PUNCT
ap-6151	429	1	isogeometric	isogeometric	ADJ
ap-6151	429	2	shell	shell	PROPN
ap-6151	429	3	analysis	analysis	NOUN
ap-6151	429	4	:	:	PUNCT
ap-6151	429	5	the	the	DET
ap-6151	429	6	reissner	reissner	NOUN
ap-6151	429	7	-	-	PUNCT
ap-6151	429	8	mindlin	mindlin	NOUN
ap-6151	429	9	shell	shell	NOUN
ap-6151	429	10	.	.	PUNCT
ap-6151	430	1	computer	computer	NOUN
ap-6151	430	2	methods	method	NOUN
ap-6151	430	3	in	in	ADP
ap-6151	430	4	applied	applied	ADJ
ap-6151	430	5	mechanics	mechanic	NOUN
ap-6151	430	6	and	and	CCONJ
ap-6151	430	7	engineering	engineering	NOUN
ap-6151	430	8	199(5):276	199(5):276	NUM
ap-6151	430	9	–	–	PUNCT
ap-6151	430	10	289	289	NUM
ap-6151	430	11	,	,	PUNCT
ap-6151	430	12	2010	2010	NUM
ap-6151	430	13	.	.	PUNCT
ap-6151	431	1	computational	computational	ADJ
ap-6151	431	2	geometry	geometry	NOUN
ap-6151	431	3	and	and	CCONJ
ap-6151	431	4	analysis	analysis	NOUN
ap-6151	431	5	,	,	PUNCT
ap-6151	431	6	doi:10.1016	doi:10.1016	PROPN
ap-6151	431	7	/	/	SYM
ap-6151	431	8	j.cma.2009.05.011	j.cma.2009.05.011	PROPN
ap-6151	431	9	.	.	PUNCT
ap-6151	432	1	[	[	X
ap-6151	432	2	17	17	NUM
ap-6151	432	3	]	]	X
ap-6151	432	4	f.	f.	PROPN
ap-6151	432	5	auricchio	auricchio	PROPN
ap-6151	432	6	,	,	PUNCT
ap-6151	432	7	l.	l.	PROPN
ap-6151	432	8	b.	b.	PROPN
ap-6151	432	9	da	da	PROPN
ap-6151	432	10	veiga	veiga	PROPN
ap-6151	432	11	,	,	PUNCT
ap-6151	432	12	a.	a.	NOUN
ap-6151	432	13	buffa	buffa	NOUN
ap-6151	432	14	,	,	PUNCT
ap-6151	432	15	et	et	PROPN
ap-6151	432	16	al	al	PROPN
ap-6151	432	17	.	.	PUNCT
ap-6151	433	1	a	a	DET
ap-6151	433	2	fully	fully	ADV
ap-6151	433	3	“	"	PUNCT
ap-6151	433	4	locking	locking	NOUN
ap-6151	433	5	-	-	PUNCT
ap-6151	433	6	free	free	ADJ
ap-6151	433	7	”	"	PUNCT
ap-6151	433	8	isogeometric	isogeometric	ADJ
ap-6151	433	9	approach	approach	NOUN
ap-6151	433	10	for	for	ADP
ap-6151	433	11	plane	plane	NOUN
ap-6151	433	12	linear	linear	PROPN
ap-6151	433	13	elasticity	elasticity	NOUN
ap-6151	433	14	problems	problem	NOUN
ap-6151	433	15	:	:	PUNCT
ap-6151	433	16	a	a	DET
ap-6151	433	17	stream	stream	NOUN
ap-6151	433	18	function	function	NOUN
ap-6151	433	19	formulation	formulation	NOUN
ap-6151	433	20	.	.	PUNCT
ap-6151	434	1	computer	computer	NOUN
ap-6151	434	2	methods	method	NOUN
ap-6151	434	3	in	in	ADP
ap-6151	434	4	applied	applied	ADJ
ap-6151	434	5	mechanics	mechanic	NOUN
ap-6151	434	6	and	and	CCONJ
ap-6151	434	7	engineering	engineering	NOUN
ap-6151	434	8	197(1):160	197(1):160	NUM
ap-6151	434	9	–	–	PUNCT
ap-6151	434	10	172	172	NUM
ap-6151	434	11	,	,	PUNCT
ap-6151	434	12	2007	2007	NUM
ap-6151	434	13	.	.	PUNCT
ap-6151	435	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	435	2	/	/	SYM
ap-6151	435	3	j.cma.2007.07.005	j.cma.2007.07.005	PROPN
ap-6151	435	4	.	.	PUNCT
ap-6151	436	1	[	[	X
ap-6151	436	2	18	18	NUM
ap-6151	436	3	]	]	PUNCT
ap-6151	436	4	a.	a.	NOUN
ap-6151	436	5	buffa	buffa	NOUN
ap-6151	436	6	,	,	PUNCT
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ap-6151	436	10	r.	r.	PROPN
ap-6151	436	11	vázquez	vázquez	PROPN
ap-6151	436	12	.	.	PUNCT
ap-6151	437	1	isogeometric	isogeometric	ADJ
ap-6151	437	2	analysis	analysis	NOUN
ap-6151	437	3	in	in	ADP
ap-6151	437	4	electromagnetics	electromagnetic	NOUN
ap-6151	437	5	:	:	PUNCT
ap-6151	437	6	b	b	X
ap-6151	437	7	-	-	PUNCT
ap-6151	437	8	splines	spline	NOUN
ap-6151	437	9	approximation	approximation	NOUN
ap-6151	437	10	.	.	PUNCT
ap-6151	438	1	computer	computer	NOUN
ap-6151	438	2	methods	method	NOUN
ap-6151	438	3	in	in	ADP
ap-6151	438	4	applied	applied	ADJ
ap-6151	438	5	mechanics	mechanic	NOUN
ap-6151	438	6	and	and	CCONJ
ap-6151	438	7	engineering	engineering	NOUN
ap-6151	438	8	199(17):1143	199(17):1143	PROPN
ap-6151	438	9	–	–	PUNCT
ap-6151	438	10	1152	1152	NUM
ap-6151	438	11	,	,	PUNCT
ap-6151	438	12	2010	2010	NUM
ap-6151	438	13	.	.	PUNCT
ap-6151	439	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	439	2	/	/	SYM
ap-6151	439	3	j.cma.2009.12.002	j.cma.2009.12.002	PROPN
ap-6151	439	4	.	.	PUNCT
ap-6151	440	1	[	[	X
ap-6151	440	2	19	19	NUM
ap-6151	440	3	]	]	PUNCT
ap-6151	440	4	h.	h.	NOUN
ap-6151	440	5	gómez	gómez	PROPN
ap-6151	440	6	,	,	PUNCT
ap-6151	440	7	v.	v.	PROPN
ap-6151	440	8	m.	m.	PROPN
ap-6151	440	9	calo	calo	PROPN
ap-6151	440	10	,	,	PUNCT
ap-6151	440	11	y.	y.	PROPN
ap-6151	440	12	bazilevs	bazilevs	PROPN
ap-6151	440	13	,	,	PUNCT
ap-6151	440	14	t.	t.	PROPN
ap-6151	440	15	j.	j.	PROPN
ap-6151	440	16	hughes	hughes	PROPN
ap-6151	440	17	.	.	PUNCT
ap-6151	441	1	isogeometric	isogeometric	ADJ
ap-6151	441	2	analysis	analysis	NOUN
ap-6151	441	3	of	of	ADP
ap-6151	441	4	the	the	DET
ap-6151	441	5	cahn	cahn	NOUN
ap-6151	441	6	-	-	PUNCT
ap-6151	441	7	hilliard	hilliard	NOUN
ap-6151	441	8	phase	phase	NOUN
ap-6151	441	9	-	-	PUNCT
ap-6151	441	10	field	field	NOUN
ap-6151	441	11	model	model	NOUN
ap-6151	441	12	.	.	PUNCT
ap-6151	442	1	computer	computer	NOUN
ap-6151	442	2	methods	method	NOUN
ap-6151	442	3	in	in	ADP
ap-6151	442	4	applied	applied	ADJ
ap-6151	442	5	mechanics	mechanic	NOUN
ap-6151	442	6	and	and	CCONJ
ap-6151	442	7	engineering	engineering	NOUN
ap-6151	442	8	197(49):4333	197(49):4333	PROPN
ap-6151	442	9	–	–	PUNCT
ap-6151	442	10	4352	4352	NUM
ap-6151	442	11	,	,	PUNCT
ap-6151	442	12	2008	2008	NUM
ap-6151	442	13	.	.	PUNCT
ap-6151	443	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	443	2	/	/	SYM
ap-6151	443	3	j.cma.2008.05.003	j.cma.2008.05.003	PROPN
ap-6151	443	4	.	.	PROPN
ap-6151	444	1	46	46	NUM
ap-6151	444	2	http://dx.doi.org/10.1137/1.9780898718003	http://dx.doi.org/10.1137/1.9780898718003	NOUN
ap-6151	444	3	http://dx.doi.org/10.1093/acprof:oso/9780199678792.001.0001	http://dx.doi.org/10.1093/acprof:oso/9780199678792.001.0001	PRON
ap-6151	444	4	http://dx.doi.org/10.1016/j.cma.2004.10.008	http://dx.doi.org/10.1016/j.cma.2004.10.008	NOUN
ap-6151	444	5	http://dx.doi.org/10.1002/nme.5990	http://dx.doi.org/10.1002/nme.5990	NOUN
ap-6151	444	6	http://dx.doi.org/10.1016/s0167-8396(99)00031-x	http://dx.doi.org/10.1016/s0167-8396(99)00031-x	NOUN
ap-6151	444	7	http://dx.doi.org/10.1007/978-3-642-54382-1_11	http://dx.doi.org/10.1007/978-3-642-54382-1_11	PROPN
ap-6151	444	8	http://dx.doi.org/10.1016/j.cma.2016.07.035	http://dx.doi.org/10.1016/j.cma.2016.07.035	PROPN
ap-6151	444	9	http://dx.doi.org/10.1016/j.cma.2016.11.013	http://dx.doi.org/10.1016/j.cma.2016.11.013	PROPN
ap-6151	444	10	http://dx.doi.org/10.1007/978-3-642-03596-8_2	http://dx.doi.org/10.1007/978-3-642-03596-8_2	PROPN
ap-6151	444	11	http://dx.doi.org/10.1016/j.cma.2008.04.006	http://dx.doi.org/10.1016/j.cma.2008.04.006	PROPN
ap-6151	444	12	http://dx.doi.org/10.1016/j.compfluid.2014.07.002	http://dx.doi.org/10.1016/j.compfluid.2014.07.002	PROPN
ap-6151	445	1	http://dx.doi.org/10.1016/j.cma.2009.05.011	http://dx.doi.org/10.1016/j.cma.2009.05.011	PROPN
ap-6151	445	2	http://dx.doi.org/10.1016/j.cma.2007.07.005	http://dx.doi.org/10.1016/j.cma.2007.07.005	VERB
ap-6151	445	3	http://dx.doi.org/10.1016/j.cma.2009.12.002	http://dx.doi.org/10.1016/j.cma.2009.12.002	PROPN
ap-6151	445	4	http://dx.doi.org/10.1016/j.cma.2008.05.003	http://dx.doi.org/10.1016/j.cma.2008.05.003	PROPN
ap-6151	445	5	vol	vol	NOUN
ap-6151	445	6	.	.	PUNCT
ap-6151	446	1	61	61	NUM
ap-6151	446	2	special	special	ADJ
ap-6151	446	3	issue/2021	issue/2021	NOUN
ap-6151	446	4	numerical	numerical	PROPN
ap-6151	446	5	simulation	simulation	PROPN
ap-6151	446	6	of	of	ADP
ap-6151	446	7	lid	lid	NOUN
ap-6151	446	8	-	-	PUNCT
ap-6151	446	9	driven	drive	VERB
ap-6151	446	10	cavity	cavity	NOUN
ap-6151	446	11	flow	flow	NOUN
ap-6151	446	12	by	by	ADP
ap-6151	446	13	isogeometric	isogeometric	ADJ
ap-6151	446	14	analysis	analysis	NOUN
ap-6151	446	15	[	[	X
ap-6151	446	16	20	20	NUM
ap-6151	446	17	]	]	PUNCT
ap-6151	446	18	x.	x.	PROPN
ap-6151	446	19	qian	qian	PROPN
ap-6151	446	20	.	.	PUNCT
ap-6151	447	1	full	full	ADJ
ap-6151	447	2	analytical	analytical	ADJ
ap-6151	447	3	sensitivities	sensitivity	NOUN
ap-6151	447	4	in	in	ADP
ap-6151	447	5	nurbs	nurb	NOUN
ap-6151	447	6	based	base	VERB
ap-6151	447	7	isogeometric	isogeometric	ADJ
ap-6151	447	8	shape	shape	NOUN
ap-6151	447	9	optimization	optimization	NOUN
ap-6151	447	10	.	.	PUNCT
ap-6151	448	1	computer	computer	NOUN
ap-6151	448	2	methods	method	NOUN
ap-6151	448	3	in	in	ADP
ap-6151	448	4	applied	applied	ADJ
ap-6151	448	5	mechanics	mechanic	NOUN
ap-6151	448	6	and	and	CCONJ
ap-6151	448	7	engineering	engineering	NOUN
ap-6151	448	8	199(29):2059	199(29):2059	PROPN
ap-6151	448	9	–	–	PUNCT
ap-6151	448	10	2071	2071	NUM
ap-6151	448	11	,	,	PUNCT
ap-6151	448	12	2010	2010	NUM
ap-6151	448	13	.	.	PUNCT
ap-6151	449	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	449	2	/	/	SYM
ap-6151	449	3	j.cma.2010.03.005	j.cma.2010.03.005	PROPN
ap-6151	449	4	.	.	PUNCT
ap-6151	450	1	[	[	X
ap-6151	450	2	21	21	NUM
ap-6151	450	3	]	]	X
ap-6151	450	4	n.	n.	PROPN
ap-6151	450	5	d.	d.	PROPN
ap-6151	450	6	manh	manh	PROPN
ap-6151	450	7	,	,	PUNCT
ap-6151	450	8	a.	a.	NOUN
ap-6151	450	9	evgrafov	evgrafov	PROPN
ap-6151	450	10	,	,	PUNCT
ap-6151	450	11	a.	a.	PROPN
ap-6151	450	12	r.	r.	PROPN
ap-6151	450	13	gersborg	gersborg	PROPN
ap-6151	450	14	,	,	PUNCT
ap-6151	450	15	j.	j.	PROPN
ap-6151	450	16	gravesen	gravesen	PROPN
ap-6151	450	17	.	.	PUNCT
ap-6151	451	1	isogeometric	isogeometric	ADJ
ap-6151	451	2	shape	shape	NOUN
ap-6151	451	3	optimization	optimization	NOUN
ap-6151	451	4	of	of	ADP
ap-6151	451	5	vibrating	vibrate	VERB
ap-6151	451	6	membranes	membrane	NOUN
ap-6151	451	7	.	.	PUNCT
ap-6151	452	1	computer	computer	NOUN
ap-6151	452	2	methods	method	NOUN
ap-6151	452	3	in	in	ADP
ap-6151	452	4	applied	applied	ADJ
ap-6151	452	5	mechanics	mechanic	NOUN
ap-6151	452	6	and	and	CCONJ
ap-6151	452	7	engineering	engineering	NOUN
ap-6151	452	8	200(13):1343	200(13):1343	PROPN
ap-6151	452	9	–	–	PUNCT
ap-6151	452	10	1353	1353	NUM
ap-6151	452	11	,	,	PUNCT
ap-6151	452	12	2011	2011	NUM
ap-6151	452	13	.	.	PUNCT
ap-6151	453	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	453	2	/	/	SYM
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ap-6151	453	4	.	.	PUNCT
ap-6151	454	1	[	[	X
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ap-6151	454	3	]	]	X
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ap-6151	454	5	a.	a.	PROPN
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ap-6151	454	7	,	,	PUNCT
ap-6151	454	8	m.	m.	NOUN
ap-6151	454	9	a.	a.	PROPN
ap-6151	454	10	frenzel	frenzel	PROPN
ap-6151	454	11	,	,	PUNCT
ap-6151	454	12	c.	c.	PROPN
ap-6151	454	13	cyron	cyron	PROPN
ap-6151	454	14	.	.	PUNCT
ap-6151	455	1	isogeometric	isogeometric	ADJ
ap-6151	455	2	structural	structural	ADJ
ap-6151	455	3	shape	shape	NOUN
ap-6151	455	4	optimization	optimization	NOUN
ap-6151	455	5	.	.	PUNCT
ap-6151	456	1	computer	computer	NOUN
ap-6151	456	2	methods	method	NOUN
ap-6151	456	3	in	in	ADP
ap-6151	456	4	applied	applied	ADJ
ap-6151	456	5	mechanics	mechanic	NOUN
ap-6151	456	6	and	and	CCONJ
ap-6151	456	7	engineering	engineer	VERB
ap-6151	456	8	197(33):2976	197(33):2976	PROPN
ap-6151	456	9	–	–	PUNCT
ap-6151	456	10	2988	2988	NUM
ap-6151	456	11	,	,	PUNCT
ap-6151	456	12	2008	2008	NUM
ap-6151	456	13	.	.	PUNCT
ap-6151	457	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	457	2	/	/	SYM
ap-6151	457	3	j.cma.2008.01.025	j.cma.2008.01.025	PROPN
ap-6151	457	4	.	.	PUNCT
ap-6151	458	1	[	[	X
ap-6151	458	2	23	23	NUM
ap-6151	458	3	]	]	X
ap-6151	458	4	y.-d	y.-d	NOUN
ap-6151	458	5	.	.	PUNCT
ap-6151	459	1	seo	seo	NOUN
ap-6151	459	2	,	,	PUNCT
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ap-6151	459	4	.	.	PUNCT
ap-6151	460	1	kim	kim	PROPN
ap-6151	460	2	,	,	PUNCT
ap-6151	460	3	s.-k	s.-k	PROPN
ap-6151	460	4	.	.	PUNCT
ap-6151	461	1	youn	youn	PROPN
ap-6151	461	2	.	.	PUNCT
ap-6151	461	3	shape	shape	NOUN
ap-6151	461	4	optimization	optimization	NOUN
ap-6151	461	5	and	and	CCONJ
ap-6151	461	6	its	its	PRON
ap-6151	461	7	extension	extension	NOUN
ap-6151	461	8	to	to	ADP
ap-6151	461	9	topological	topological	ADJ
ap-6151	461	10	design	design	NOUN
ap-6151	461	11	based	base	VERB
ap-6151	461	12	on	on	ADP
ap-6151	461	13	isogeometric	isogeometric	ADJ
ap-6151	461	14	analysis	analysis	NOUN
ap-6151	461	15	.	.	PUNCT
ap-6151	462	1	international	international	ADJ
ap-6151	462	2	journal	journal	NOUN
ap-6151	462	3	of	of	ADP
ap-6151	462	4	solids	solid	NOUN
ap-6151	462	5	and	and	CCONJ
ap-6151	462	6	structures	structure	NOUN
ap-6151	462	7	47(11):1618	47(11):1618	NUM
ap-6151	462	8	–	–	PUNCT
ap-6151	462	9	1640	1640	NUM
ap-6151	462	10	,	,	PUNCT
ap-6151	462	11	2010	2010	NUM
ap-6151	462	12	.	.	PUNCT
ap-6151	463	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	463	2	/	/	SYM
ap-6151	463	3	j.ijsolstr.2010.03.004	j.ijsolstr.2010.03.004	PROPN
ap-6151	463	4	.	.	PUNCT
ap-6151	464	1	[	[	X
ap-6151	464	2	24	24	NUM
ap-6151	464	3	]	]	X
ap-6151	464	4	n.	n.	PROPN
ap-6151	464	5	liu	liu	PROPN
ap-6151	464	6	,	,	PUNCT
ap-6151	464	7	a.	a.	PROPN
ap-6151	464	8	e.	e.	PROPN
ap-6151	464	9	jeffers	jeffers	PROPN
ap-6151	464	10	.	.	PUNCT
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ap-6151	465	2	analysis	analysis	NOUN
ap-6151	465	3	of	of	ADP
ap-6151	465	4	laminated	laminated	ADJ
ap-6151	465	5	composite	composite	ADJ
ap-6151	465	6	and	and	CCONJ
ap-6151	465	7	functionally	functionally	ADV
ap-6151	465	8	graded	grade	VERB
ap-6151	465	9	sandwich	sandwich	NOUN
ap-6151	465	10	plates	plate	NOUN
ap-6151	465	11	based	base	VERB
ap-6151	465	12	on	on	ADP
ap-6151	465	13	a	a	DET
ap-6151	465	14	layerwise	layerwise	ADJ
ap-6151	465	15	displacement	displacement	ADJ
ap-6151	465	16	theory	theory	NOUN
ap-6151	465	17	.	.	PUNCT
ap-6151	466	1	composite	composite	ADJ
ap-6151	466	2	structures	structure	NOUN
ap-6151	466	3	176:143	176:143	PROPN
ap-6151	466	4	–	–	PUNCT
ap-6151	466	5	153	153	NUM
ap-6151	466	6	,	,	PUNCT
ap-6151	466	7	2017	2017	NUM
ap-6151	466	8	.	.	PUNCT
ap-6151	467	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	467	2	/	/	SYM
ap-6151	467	3	j.compstruct.2017.05.037	j.compstruct.2017.05.037	PROPN
ap-6151	467	4	.	.	PUNCT
ap-6151	468	1	[	[	X
ap-6151	468	2	25	25	NUM
ap-6151	468	3	]	]	X
ap-6151	468	4	n.	n.	PROPN
ap-6151	468	5	liu	liu	PROPN
ap-6151	468	6	,	,	PUNCT
ap-6151	468	7	a.	a.	PROPN
ap-6151	468	8	e.	e.	PROPN
ap-6151	468	9	jeffers	jeffers	PROPN
ap-6151	468	10	.	.	PUNCT
ap-6151	469	1	a	a	DET
ap-6151	469	2	geometrically	geometrically	ADV
ap-6151	469	3	exact	exact	ADJ
ap-6151	469	4	isogeometric	isogeometric	PROPN
ap-6151	469	5	kirchhoff	kirchhoff	PROPN
ap-6151	469	6	plate	plate	NOUN
ap-6151	469	7	:	:	PUNCT
ap-6151	469	8	feature	feature	NOUN
ap-6151	469	9	-	-	PUNCT
ap-6151	469	10	preserving	preserve	VERB
ap-6151	469	11	automatic	automatic	ADJ
ap-6151	469	12	meshing	meshing	NOUN
ap-6151	469	13	and	and	CCONJ
ap-6151	469	14	c1	c1	PROPN
ap-6151	469	15	rational	rational	ADJ
ap-6151	469	16	triangular	triangular	PROPN
ap-6151	469	17	bézier	bézier	NOUN
ap-6151	469	18	spline	spline	NOUN
ap-6151	469	19	discretizations	discretization	NOUN
ap-6151	469	20	.	.	PUNCT
ap-6151	470	1	international	international	ADJ
ap-6151	470	2	journal	journal	PROPN
ap-6151	470	3	for	for	ADP
ap-6151	470	4	numerical	numerical	ADJ
ap-6151	470	5	methods	method	NOUN
ap-6151	470	6	in	in	ADP
ap-6151	470	7	engineering	engineering	NOUN
ap-6151	470	8	115(3):395–409	115(3):395–409	NUM
ap-6151	470	9	,	,	PUNCT
ap-6151	470	10	2018	2018	NUM
ap-6151	470	11	.	.	PUNCT
ap-6151	471	1	https://onlinelibrary.wiley.com/doi/pdf/	https://onlinelibrary.wiley.com/doi/pdf/	NOUN
ap-6151	471	2	10.1002	10.1002	NUM
ap-6151	471	3	/	/	SYM
ap-6151	471	4	nme.5809	nme.5809	X
ap-6151	471	5	doi:10.1002	doi:10.1002	NOUN
ap-6151	471	6	/	/	SYM
ap-6151	471	7	nme.5809	nme.5809	NOUN
ap-6151	471	8	.	.	PUNCT
ap-6151	472	1	[	[	X
ap-6151	472	2	26	26	NUM
ap-6151	472	3	]	]	X
ap-6151	472	4	n.	n.	PROPN
ap-6151	472	5	liu	liu	PROPN
ap-6151	472	6	,	,	PUNCT
ap-6151	472	7	x.	x.	PROPN
ap-6151	472	8	ren	ren	PROPN
ap-6151	472	9	,	,	PUNCT
ap-6151	472	10	j.	j.	PROPN
ap-6151	472	11	lua	lua	PROPN
ap-6151	472	12	.	.	PUNCT
ap-6151	473	1	an	an	DET
ap-6151	473	2	isogeometric	isogeometric	ADJ
ap-6151	473	3	continuum	continuum	ADJ
ap-6151	473	4	shell	shell	NOUN
ap-6151	473	5	element	element	NOUN
ap-6151	473	6	for	for	ADP
ap-6151	473	7	modeling	model	VERB
ap-6151	473	8	the	the	DET
ap-6151	473	9	nonlinear	nonlinear	ADJ
ap-6151	473	10	response	response	NOUN
ap-6151	473	11	of	of	ADP
ap-6151	473	12	functionally	functionally	ADV
ap-6151	473	13	graded	grade	VERB
ap-6151	473	14	material	material	NOUN
ap-6151	473	15	structures	structure	NOUN
ap-6151	473	16	.	.	PUNCT
ap-6151	474	1	composite	composite	ADJ
ap-6151	474	2	structures	structure	NOUN
ap-6151	474	3	237:111893	237:111893	NOUN
ap-6151	474	4	,	,	PUNCT
ap-6151	474	5	2020	2020	NUM
ap-6151	474	6	.	.	PUNCT
ap-6151	475	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	475	2	/	/	SYM
ap-6151	475	3	j.compstruct.2020.111893	j.compstruct.2020.111893	PROPN
ap-6151	475	4	.	.	PUNCT
ap-6151	476	1	[	[	X
ap-6151	476	2	27	27	NUM
ap-6151	476	3	]	]	X
ap-6151	476	4	n.	n.	PROPN
ap-6151	476	5	liu	liu	PROPN
ap-6151	476	6	,	,	PUNCT
ap-6151	476	7	a.	a.	PROPN
ap-6151	476	8	e.	e.	PROPN
ap-6151	476	9	jeffers	jeffers	PROPN
ap-6151	476	10	.	.	PUNCT
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ap-6151	477	2	isogeometric	isogeometric	ADJ
ap-6151	477	3	analysis	analysis	NOUN
ap-6151	477	4	in	in	ADP
ap-6151	477	5	structural	structural	ADJ
ap-6151	477	6	frames	frame	NOUN
ap-6151	477	7	using	use	VERB
ap-6151	477	8	a	a	DET
ap-6151	477	9	layer	layer	NOUN
ap-6151	477	10	-	-	PUNCT
ap-6151	477	11	based	base	VERB
ap-6151	477	12	discretization	discretization	NOUN
ap-6151	477	13	to	to	PART
ap-6151	477	14	model	model	NOUN
ap-6151	477	15	spread	spread	NOUN
ap-6151	477	16	of	of	ADP
ap-6151	477	17	plasticity	plasticity	NOUN
ap-6151	477	18	.	.	PUNCT
ap-6151	478	1	computers	computer	NOUN
ap-6151	478	2	&	&	CCONJ
ap-6151	478	3	structures	structure	NOUN
ap-6151	478	4	196:1	196:1	NUM
ap-6151	478	5	–	–	PUNCT
ap-6151	478	6	11	11	NUM
ap-6151	478	7	,	,	PUNCT
ap-6151	478	8	2018	2018	NUM
ap-6151	478	9	.	.	PUNCT
ap-6151	479	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	479	2	/	/	SYM
ap-6151	479	3	j.compstruc.2017.10.016	j.compstruc.2017.10.016	PROPN
ap-6151	479	4	.	.	PUNCT
ap-6151	480	1	[	[	X
ap-6151	480	2	28	28	NUM
ap-6151	480	3	]	]	X
ap-6151	480	4	n.	n.	PROPN
ap-6151	480	5	liu	liu	PROPN
ap-6151	480	6	,	,	PUNCT
ap-6151	480	7	p.	p.	NOUN
ap-6151	480	8	a.	a.	NOUN
ap-6151	480	9	beata	beata	PROPN
ap-6151	480	10	,	,	PUNCT
ap-6151	480	11	a.	a.	PROPN
ap-6151	480	12	e.	e.	PROPN
ap-6151	480	13	jeffers	jeffers	PROPN
ap-6151	480	14	.	.	PUNCT
ap-6151	481	1	a	a	DET
ap-6151	481	2	mixed	mixed	ADJ
ap-6151	481	3	isogeometric	isogeometric	ADJ
ap-6151	481	4	analysis	analysis	NOUN
ap-6151	481	5	and	and	CCONJ
ap-6151	481	6	control	control	NOUN
ap-6151	481	7	volume	volume	NOUN
ap-6151	481	8	approach	approach	NOUN
ap-6151	481	9	for	for	ADP
ap-6151	481	10	heat	heat	NOUN
ap-6151	481	11	transfer	transfer	NOUN
ap-6151	481	12	analysis	analysis	NOUN
ap-6151	481	13	of	of	ADP
ap-6151	481	14	nonuniformly	nonuniformly	ADV
ap-6151	481	15	heated	heated	ADJ
ap-6151	481	16	plates	plate	NOUN
ap-6151	481	17	.	.	PUNCT
ap-6151	482	1	numerical	numerical	ADJ
ap-6151	482	2	heat	heat	NOUN
ap-6151	482	3	transfer	transfer	NOUN
ap-6151	482	4	,	,	PUNCT
ap-6151	482	5	part	part	NOUN
ap-6151	482	6	b	b	NOUN
ap-6151	482	7	:	:	PUNCT
ap-6151	482	8	fundamentals	fundamental	NOUN
ap-6151	482	9	75(6):347–362	75(6):347–362	PROPN
ap-6151	482	10	,	,	PUNCT
ap-6151	482	11	2019	2019	NUM
ap-6151	482	12	.	.	PUNCT
ap-6151	483	1	doi:10.1080/10407790.2019.1627801	doi:10.1080/10407790.2019.1627801	NOUN
ap-6151	483	2	.	.	PUNCT
ap-6151	484	1	[	[	X
ap-6151	484	2	29	29	NUM
ap-6151	484	3	]	]	X
ap-6151	484	4	n.	n.	PROPN
ap-6151	484	5	liu	liu	PROPN
ap-6151	484	6	,	,	PUNCT
ap-6151	484	7	a.	a.	PROPN
ap-6151	484	8	e.	e.	PROPN
ap-6151	484	9	jeffers	jeffers	PROPN
ap-6151	484	10	.	.	PUNCT
ap-6151	485	1	feature	feature	NOUN
ap-6151	485	2	-	-	PUNCT
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ap-6151	485	4	rational	rational	ADJ
ap-6151	485	5	bézier	bézier	NOUN
ap-6151	485	6	triangles	triangle	NOUN
ap-6151	485	7	for	for	ADP
ap-6151	485	8	isogeometric	isogeometric	ADJ
ap-6151	485	9	analysis	analysis	NOUN
ap-6151	485	10	of	of	ADP
ap-6151	485	11	higher	high	ADJ
ap-6151	485	12	-	-	PUNCT
ap-6151	485	13	order	order	NOUN
ap-6151	485	14	gradient	gradient	ADJ
ap-6151	485	15	damage	damage	NOUN
ap-6151	485	16	models	model	NOUN
ap-6151	485	17	.	.	PUNCT
ap-6151	486	1	computer	computer	NOUN
ap-6151	486	2	methods	method	NOUN
ap-6151	486	3	in	in	ADP
ap-6151	486	4	applied	applied	ADJ
ap-6151	486	5	mechanics	mechanic	NOUN
ap-6151	486	6	and	and	CCONJ
ap-6151	486	7	engineering	engineering	NOUN
ap-6151	486	8	357:112585	357:112585	NUM
ap-6151	486	9	,	,	PUNCT
ap-6151	486	10	2019	2019	NUM
ap-6151	486	11	.	.	PUNCT
ap-6151	487	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	487	2	/	/	SYM
ap-6151	487	3	j.cma.2019.112585	j.cma.2019.112585	PROPN
ap-6151	487	4	.	.	PUNCT
ap-6151	488	1	[	[	X
ap-6151	488	2	30	30	NUM
ap-6151	488	3	]	]	X
ap-6151	488	4	b.	b.	PROPN
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ap-6151	488	13	et	et	PROPN
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ap-6151	488	15	.	.	PUNCT
ap-6151	489	1	iga	iga	PROPN
ap-6151	489	2	-	-	PUNCT
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ap-6151	489	4	solver	solver	NOUN
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ap-6151	489	6	turbulence	turbulence	NOUN
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ap-6151	489	9	multipatch	multipatch	NOUN
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ap-6151	489	11	.	.	PUNCT
ap-6151	490	1	advances	advance	NOUN
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ap-6151	490	4	software	software	NOUN
ap-6151	490	5	113:7–18	113:7–18	NUM
ap-6151	490	6	,	,	PUNCT
ap-6151	490	7	2017	2017	NUM
ap-6151	490	8	.	.	PUNCT
ap-6151	491	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	491	2	/	/	SYM
ap-6151	491	3	j.advengsoft.2017.06.012	j.advengsoft.2017.06.012	PROPN
ap-6151	491	4	.	.	PUNCT
ap-6151	492	1	[	[	X
ap-6151	492	2	31	31	NUM
ap-6151	492	3	]	]	PUNCT
ap-6151	492	4	b.	b.	PROPN
ap-6151	492	5	bastl	bastl	PROPN
ap-6151	492	6	,	,	PUNCT
ap-6151	492	7	m.	m.	NOUN
ap-6151	492	8	brandner	brandner	NOUN
ap-6151	492	9	,	,	PUNCT
ap-6151	492	10	j.	j.	PROPN
ap-6151	492	11	egermaier	egermaier	PROPN
ap-6151	492	12	,	,	PUNCT
ap-6151	492	13	et	et	PROPN
ap-6151	492	14	al	al	PROPN
ap-6151	492	15	.	.	PROPN
ap-6151	492	16	isogeometric	isogeometric	ADJ
ap-6151	492	17	analysis	analysis	NOUN
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ap-6151	492	19	turbulent	turbulent	ADJ
ap-6151	492	20	flow	flow	NOUN
ap-6151	492	21	.	.	PUNCT
ap-6151	493	1	mathematics	mathematic	NOUN
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ap-6151	493	3	computers	computer	NOUN
ap-6151	493	4	in	in	ADP
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ap-6151	493	7	,	,	PUNCT
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ap-6151	493	9	.	.	PUNCT
ap-6151	494	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	494	2	/	/	SYM
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ap-6151	494	4	.	.	PUNCT
ap-6151	495	1	[	[	X
ap-6151	495	2	32	32	NUM
ap-6151	495	3	]	]	X
ap-6151	495	4	y.	y.	PROPN
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ap-6151	495	8	calo	calo	PROPN
ap-6151	495	9	,	,	PUNCT
ap-6151	495	10	j.	j.	PROPN
ap-6151	495	11	cottrell	cottrell	PROPN
ap-6151	495	12	,	,	PUNCT
ap-6151	495	13	et	et	PROPN
ap-6151	495	14	al	al	PROPN
ap-6151	495	15	.	.	PUNCT
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ap-6151	495	17	multiscale	multiscale	ADJ
ap-6151	495	18	residual	residual	ADJ
ap-6151	495	19	-	-	PUNCT
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ap-6151	495	28	incompressible	incompressible	ADJ
ap-6151	495	29	flows	flow	NOUN
ap-6151	495	30	.	.	PUNCT
ap-6151	496	1	computer	computer	NOUN
ap-6151	496	2	methods	method	NOUN
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ap-6151	496	5	mechanics	mechanic	NOUN
ap-6151	496	6	and	and	CCONJ
ap-6151	496	7	engineering	engineering	NOUN
ap-6151	496	8	197(1	197(1	NUM
ap-6151	496	9	-	-	SYM
ap-6151	496	10	4):173–201	4):173–201	NUM
ap-6151	496	11	,	,	PUNCT
ap-6151	496	12	2007	2007	NUM
ap-6151	496	13	.	.	PUNCT
ap-6151	497	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	497	2	/	/	SYM
ap-6151	497	3	j.cma.2007.07.016	j.cma.2007.07.016	PROPN
ap-6151	497	4	.	.	PUNCT
ap-6151	498	1	[	[	X
ap-6151	498	2	33	33	NUM
ap-6151	498	3	]	]	PUNCT
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ap-6151	498	10	s.	s.	PROPN
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ap-6151	498	12	.	.	PUNCT
ap-6151	499	1	isogeometric	isogeometric	ADJ
ap-6151	499	2	analysis	analysis	NOUN
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ap-6151	499	5	navier	navier	NOUN
ap-6151	499	6	-	-	PUNCT
ap-6151	499	7	stokes	stoke	NOUN
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ap-6151	499	11	-	-	PUNCT
ap-6151	499	12	hood	hood	NOUN
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ap-6151	499	14	-	-	PUNCT
ap-6151	499	15	spline	spline	NOUN
ap-6151	499	16	elements	element	NOUN
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ap-6151	500	1	appl	appl	PROPN
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ap-6151	500	4	267:264	267:264	NOUN
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ap-6151	500	7	,	,	PUNCT
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ap-6151	500	9	.	.	PUNCT
ap-6151	501	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	501	2	/	/	SYM
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ap-6151	501	4	.	.	PUNCT
ap-6151	502	1	[	[	X
ap-6151	502	2	34	34	NUM
ap-6151	502	3	]	]	PUNCT
ap-6151	502	4	a.	a.	NOUN
ap-6151	502	5	falini	falini	PROPN
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ap-6151	502	7	j.	j.	PROPN
ap-6151	502	8	špeh	špeh	PROPN
ap-6151	502	9	,	,	PUNCT
ap-6151	502	10	b.	b.	PROPN
ap-6151	502	11	jüttler	jüttler	PROPN
ap-6151	502	12	.	.	PUNCT
ap-6151	503	1	planar	planar	ADJ
ap-6151	503	2	domain	domain	NOUN
ap-6151	503	3	parameterization	parameterization	NOUN
ap-6151	503	4	with	with	ADP
ap-6151	503	5	thb	thb	NOUN
ap-6151	503	6	-	-	PUNCT
ap-6151	503	7	splines	spline	NOUN
ap-6151	503	8	.	.	PUNCT
ap-6151	504	1	computer	computer	NOUN
ap-6151	504	2	aided	aid	VERB
ap-6151	504	3	geometric	geometric	ADJ
ap-6151	504	4	design	design	NOUN
ap-6151	504	5	35–36:95–108	35–36:95–108	NUM
ap-6151	504	6	,	,	PUNCT
ap-6151	504	7	2015	2015	NUM
ap-6151	504	8	.	.	PUNCT
ap-6151	505	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	505	2	/	/	SYM
ap-6151	505	3	j.cagd.2015.03.014	j.cagd.2015.03.014	PROPN
ap-6151	505	4	.	.	PUNCT
ap-6151	506	1	[	[	X
ap-6151	506	2	35	35	NUM
ap-6151	506	3	]	]	PUNCT
ap-6151	506	4	a.	a.	NOUN
ap-6151	506	5	mantzaflaris	mantzaflaris	PROPN
ap-6151	506	6	,	,	PUNCT
ap-6151	506	7	b.	b.	PROPN
ap-6151	506	8	jüttler	jüttler	PROPN
ap-6151	506	9	,	,	PUNCT
ap-6151	506	10	b.	b.	PROPN
ap-6151	506	11	n.	n.	PROPN
ap-6151	506	12	khoromskij	khoromskij	PROPN
ap-6151	506	13	,	,	PUNCT
ap-6151	506	14	u.	u.	PROPN
ap-6151	506	15	langer	langer	PROPN
ap-6151	506	16	.	.	PUNCT
ap-6151	506	17	matrix	matrix	NOUN
ap-6151	506	18	generation	generation	NOUN
ap-6151	506	19	in	in	ADP
ap-6151	506	20	isogeometric	isogeometric	ADJ
ap-6151	506	21	analysis	analysis	NOUN
ap-6151	506	22	by	by	ADP
ap-6151	506	23	low	low	ADJ
ap-6151	506	24	rank	rank	PROPN
ap-6151	506	25	tensor	tensor	NOUN
ap-6151	506	26	approximation	approximation	NOUN
ap-6151	506	27	.	.	PUNCT
ap-6151	507	1	in	in	ADP
ap-6151	507	2	international	international	ADJ
ap-6151	507	3	conference	conference	NOUN
ap-6151	507	4	on	on	ADP
ap-6151	507	5	curves	curve	NOUN
ap-6151	507	6	and	and	CCONJ
ap-6151	507	7	surfaces	surface	NOUN
ap-6151	507	8	,	,	PUNCT
ap-6151	507	9	pp	pp	ADJ
ap-6151	507	10	.	.	PUNCT
ap-6151	508	1	321–340	321–340	NUM
ap-6151	508	2	.	.	NOUN
ap-6151	508	3	2014	2014	NUM
ap-6151	508	4	.	.	PUNCT
ap-6151	509	1	doi:10.1007/978	doi:10.1007/978	NOUN
ap-6151	509	2	-	-	PUNCT
ap-6151	509	3	3	3	NUM
ap-6151	509	4	-	-	NUM
ap-6151	509	5	319	319	NUM
ap-6151	509	6	-	-	PUNCT
ap-6151	509	7	22804	22804	NUM
ap-6151	509	8	-	-	SYM
ap-6151	509	9	4_24	4_24	NUM
ap-6151	509	10	.	.	PUNCT
ap-6151	510	1	[	[	X
ap-6151	510	2	36	36	NUM
ap-6151	510	3	]	]	PUNCT
ap-6151	510	4	m.	m.	NOUN
ap-6151	510	5	bartoň	bartoň	NOUN
ap-6151	510	6	,	,	PUNCT
ap-6151	510	7	v.	v.	ADP
ap-6151	510	8	m.	m.	PROPN
ap-6151	510	9	calo	calo	PROPN
ap-6151	510	10	.	.	PUNCT
ap-6151	510	11	gauss	gauss	ADJ
ap-6151	510	12	-	-	PUNCT
ap-6151	510	13	galerkin	galerkin	ADJ
ap-6151	510	14	quadrature	quadrature	NOUN
ap-6151	510	15	rules	rule	NOUN
ap-6151	510	16	for	for	ADP
ap-6151	510	17	quadratic	quadratic	ADJ
ap-6151	510	18	and	and	CCONJ
ap-6151	510	19	cubic	cubic	ADJ
ap-6151	510	20	spline	spline	NOUN
ap-6151	510	21	spaces	space	NOUN
ap-6151	510	22	and	and	CCONJ
ap-6151	510	23	their	their	PRON
ap-6151	510	24	application	application	NOUN
ap-6151	510	25	to	to	ADP
ap-6151	510	26	isogeometric	isogeometric	ADJ
ap-6151	510	27	analysis	analysis	NOUN
ap-6151	510	28	.	.	PUNCT
ap-6151	511	1	computer	computer	NOUN
ap-6151	511	2	-	-	PUNCT
ap-6151	511	3	aided	aid	VERB
ap-6151	511	4	design	design	NOUN
ap-6151	511	5	82:57–67	82:57–67	NUM
ap-6151	511	6	,	,	PUNCT
ap-6151	511	7	2017	2017	NUM
ap-6151	511	8	.	.	PUNCT
ap-6151	512	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	512	2	/	/	SYM
ap-6151	512	3	j.cad.2016.07.003	j.cad.2016.07.003	PROPN
ap-6151	512	4	.	.	PUNCT
ap-6151	513	1	[	[	X
ap-6151	513	2	37	37	NUM
ap-6151	513	3	]	]	X
ap-6151	513	4	r.	r.	PROPN
ap-6151	513	5	r.	r.	PROPN
ap-6151	513	6	hiemstra	hiemstra	PROPN
ap-6151	513	7	,	,	PUNCT
ap-6151	513	8	g.	g.	PROPN
ap-6151	513	9	sangalli	sangalli	PROPN
ap-6151	513	10	,	,	PUNCT
ap-6151	513	11	m.	m.	NOUN
ap-6151	513	12	tani	tani	PROPN
ap-6151	513	13	,	,	PUNCT
ap-6151	513	14	et	et	PROPN
ap-6151	513	15	al	al	PROPN
ap-6151	513	16	.	.	PUNCT
ap-6151	514	1	fast	fast	ADJ
ap-6151	514	2	formation	formation	NOUN
ap-6151	514	3	and	and	CCONJ
ap-6151	514	4	assembly	assembly	NOUN
ap-6151	514	5	of	of	ADP
ap-6151	514	6	finite	finite	ADJ
ap-6151	514	7	element	element	NOUN
ap-6151	514	8	matrices	matrix	NOUN
ap-6151	514	9	with	with	ADP
ap-6151	514	10	application	application	NOUN
ap-6151	514	11	to	to	ADP
ap-6151	514	12	isogeometric	isogeometric	ADJ
ap-6151	514	13	linear	linear	PROPN
ap-6151	514	14	elasticity	elasticity	NOUN
ap-6151	514	15	.	.	PUNCT
ap-6151	515	1	computer	computer	NOUN
ap-6151	515	2	methods	method	NOUN
ap-6151	515	3	in	in	ADP
ap-6151	515	4	applied	applied	ADJ
ap-6151	515	5	mechanics	mechanic	NOUN
ap-6151	515	6	and	and	CCONJ
ap-6151	515	7	engineering	engineering	NOUN
ap-6151	515	8	355:234–260	355:234–260	NUM
ap-6151	515	9	,	,	PUNCT
ap-6151	515	10	2019	2019	NUM
ap-6151	515	11	.	.	PUNCT
ap-6151	516	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	516	2	/	/	SYM
ap-6151	516	3	j.cma.2019.06.020	j.cma.2019.06.020	PROPN
ap-6151	516	4	.	.	PUNCT
ap-6151	517	1	[	[	X
ap-6151	517	2	38	38	NUM
ap-6151	517	3	]	]	X
ap-6151	517	4	n.	n.	NOUN
ap-6151	517	5	collier	collier	PROPN
ap-6151	517	6	,	,	PUNCT
ap-6151	517	7	d.	d.	PROPN
ap-6151	517	8	pardo	pardo	PROPN
ap-6151	517	9	,	,	PUNCT
ap-6151	517	10	l.	l.	PROPN
ap-6151	517	11	dalcin	dalcin	PROPN
ap-6151	517	12	,	,	PUNCT
ap-6151	517	13	et	et	PROPN
ap-6151	517	14	al	al	PROPN
ap-6151	517	15	.	.	PUNCT
ap-6151	518	1	the	the	DET
ap-6151	518	2	cost	cost	NOUN
ap-6151	518	3	of	of	ADP
ap-6151	518	4	continuity	continuity	NOUN
ap-6151	518	5	:	:	PUNCT
ap-6151	518	6	a	a	DET
ap-6151	518	7	study	study	NOUN
ap-6151	518	8	of	of	ADP
ap-6151	518	9	the	the	DET
ap-6151	518	10	performance	performance	NOUN
ap-6151	518	11	of	of	ADP
ap-6151	518	12	isogeometric	isogeometric	ADJ
ap-6151	518	13	finite	finite	ADJ
ap-6151	518	14	elements	element	NOUN
ap-6151	518	15	using	use	VERB
ap-6151	518	16	direct	direct	ADJ
ap-6151	518	17	solvers	solver	NOUN
ap-6151	518	18	.	.	PUNCT
ap-6151	519	1	comput	comput	PROPN
ap-6151	519	2	methods	method	NOUN
ap-6151	519	3	appl	appl	PROPN
ap-6151	519	4	mech	mech	NOUN
ap-6151	519	5	engrg	engrg	ADJ
ap-6151	519	6	213	213	NUM
ap-6151	519	7	-	-	SYM
ap-6151	519	8	216:353–361	216:353–361	NOUN
ap-6151	519	9	,	,	PUNCT
ap-6151	519	10	2012	2012	NUM
ap-6151	519	11	.	.	PUNCT
ap-6151	520	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	520	2	/	/	SYM
ap-6151	520	3	j.cma.2011.11.002	j.cma.2011.11.002	PROPN
ap-6151	520	4	.	.	PUNCT
ap-6151	521	1	[	[	X
ap-6151	521	2	39	39	NUM
ap-6151	521	3	]	]	PUNCT
ap-6151	521	4	t.	t.	PROPN
ap-6151	521	5	a.	a.	PROPN
ap-6151	521	6	abdelmigid	abdelmigid	PROPN
ap-6151	521	7	,	,	PUNCT
ap-6151	521	8	k.	k.	PROPN
ap-6151	521	9	m.	m.	PROPN
ap-6151	521	10	saqr	saqr	PROPN
ap-6151	521	11	,	,	PUNCT
ap-6151	521	12	m.	m.	NOUN
ap-6151	521	13	a.	a.	PROPN
ap-6151	521	14	kotb	kotb	PROPN
ap-6151	521	15	,	,	PUNCT
ap-6151	521	16	a.	a.	NOUN
ap-6151	521	17	a.	a.	NOUN
ap-6151	521	18	aboelfarag	aboelfarag	NOUN
ap-6151	521	19	.	.	PUNCT
ap-6151	522	1	revisiting	revisit	VERB
ap-6151	522	2	the	the	DET
ap-6151	522	3	lid	lid	NOUN
ap-6151	522	4	-	-	PUNCT
ap-6151	522	5	driven	drive	VERB
ap-6151	522	6	cavity	cavity	NOUN
ap-6151	522	7	flow	flow	NOUN
ap-6151	522	8	problem	problem	NOUN
ap-6151	522	9	:	:	PUNCT
ap-6151	522	10	review	review	NOUN
ap-6151	522	11	and	and	CCONJ
ap-6151	522	12	new	new	ADJ
ap-6151	522	13	steady	steady	ADJ
ap-6151	522	14	state	state	NOUN
ap-6151	522	15	benchmarking	benchmarke	VERB
ap-6151	522	16	results	result	NOUN
ap-6151	522	17	using	use	VERB
ap-6151	522	18	gpu	gpu	NOUN
ap-6151	522	19	accelerated	accelerate	VERB
ap-6151	522	20	code	code	NOUN
ap-6151	522	21	.	.	PUNCT
ap-6151	523	1	alexandria	alexandria	PROPN
ap-6151	523	2	engineering	engineering	PROPN
ap-6151	523	3	journal	journal	PROPN
ap-6151	523	4	56:123–135	56:123–135	PROPN
ap-6151	523	5	,	,	PUNCT
ap-6151	523	6	2017	2017	NUM
ap-6151	523	7	.	.	PUNCT
ap-6151	524	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	524	2	/	/	SYM
ap-6151	524	3	j.aej.2016.09.013	j.aej.2016.09.013	PROPN
ap-6151	524	4	.	.	PUNCT
ap-6151	525	1	[	[	X
ap-6151	525	2	40	40	NUM
ap-6151	525	3	]	]	PUNCT
ap-6151	525	4	j.	j.	PROPN
ap-6151	525	5	a.	a.	PROPN
ap-6151	525	6	evans	evans	PROPN
ap-6151	525	7	,	,	PUNCT
ap-6151	525	8	t.	t.	PROPN
ap-6151	525	9	j.	j.	PROPN
ap-6151	525	10	r.	r.	PROPN
ap-6151	525	11	hughes	hughes	PROPN
ap-6151	525	12	.	.	PUNCT
ap-6151	526	1	isogeometric	isogeometric	ADJ
ap-6151	526	2	divergence	divergence	NOUN
ap-6151	526	3	-	-	PUNCT
ap-6151	526	4	conforming	conform	VERB
ap-6151	526	5	b	b	NOUN
ap-6151	526	6	-	-	PUNCT
ap-6151	526	7	splines	spline	NOUN
ap-6151	526	8	for	for	ADP
ap-6151	526	9	the	the	DET
ap-6151	526	10	steady	steady	ADJ
ap-6151	526	11	navier	navier	NOUN
ap-6151	526	12	–	–	PUNCT
ap-6151	526	13	stokes	stokes	PROPN
ap-6151	526	14	equations	equation	NOUN
ap-6151	526	15	.	.	PUNCT
ap-6151	527	1	math	math	NOUN
ap-6151	527	2	models	model	NOUN
ap-6151	527	3	methods	method	VERB
ap-6151	527	4	appl	appl	PROPN
ap-6151	527	5	sci	sci	PROPN
ap-6151	527	6	23(8):1421–1478	23(8):1421–1478	NUM
ap-6151	527	7	,	,	PUNCT
ap-6151	527	8	2013	2013	NUM
ap-6151	527	9	.	.	PUNCT
ap-6151	528	1	doi:10.21236	doi:10.21236	ADJ
ap-6151	528	2	/	/	SYM
ap-6151	528	3	ada560496	ada560496	NOUN
ap-6151	528	4	.	.	PUNCT
ap-6151	529	1	[	[	X
ap-6151	529	2	41	41	NUM
ap-6151	529	3	]	]	X
ap-6151	529	4	v.	v.	PROPN
ap-6151	529	5	john	john	PROPN
ap-6151	529	6	,	,	PUNCT
ap-6151	529	7	l.	l.	PROPN
ap-6151	529	8	schumacher	schumacher	PROPN
ap-6151	529	9	.	.	PUNCT
ap-6151	530	1	a	a	DET
ap-6151	530	2	study	study	NOUN
ap-6151	530	3	of	of	ADP
ap-6151	530	4	isogeometric	isogeometric	ADJ
ap-6151	530	5	analysis	analysis	NOUN
ap-6151	530	6	for	for	ADP
ap-6151	530	7	scalar	scalar	ADJ
ap-6151	530	8	convection	convection	NOUN
ap-6151	530	9	–	–	PUNCT
ap-6151	530	10	diffusion	diffusion	NOUN
ap-6151	530	11	equations	equation	NOUN
ap-6151	530	12	.	.	PUNCT
ap-6151	531	1	applied	apply	VERB
ap-6151	531	2	mathematics	mathematics	NOUN
ap-6151	531	3	letters	letter	NOUN
ap-6151	531	4	27:43–48	27:43–48	NUM
ap-6151	531	5	,	,	PUNCT
ap-6151	531	6	2014	2014	NUM
ap-6151	531	7	.	.	PUNCT
ap-6151	532	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	532	2	/	/	SYM
ap-6151	532	3	j.aml.2013.08.004	j.aml.2013.08.004	PROPN
ap-6151	532	4	.	.	PUNCT
ap-6151	533	1	[	[	X
ap-6151	533	2	42	42	NUM
ap-6151	533	3	]	]	X
ap-6151	533	4	d.	d.	PROPN
ap-6151	533	5	garcia	garcia	PROPN
ap-6151	533	6	,	,	PUNCT
ap-6151	533	7	d.	d.	PROPN
ap-6151	533	8	pardo	pardo	PROPN
ap-6151	533	9	,	,	PUNCT
ap-6151	533	10	l.	l.	PROPN
ap-6151	533	11	dalcin	dalcin	PROPN
ap-6151	533	12	,	,	PUNCT
ap-6151	533	13	et	et	PROPN
ap-6151	533	14	al	al	PROPN
ap-6151	533	15	.	.	PUNCT
ap-6151	534	1	the	the	DET
ap-6151	534	2	value	value	NOUN
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ap-6151	534	4	continuity	continuity	NOUN
ap-6151	534	5	:	:	PUNCT
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ap-6151	534	7	isogeometric	isogeometric	ADJ
ap-6151	534	8	analysis	analysis	NOUN
ap-6151	534	9	and	and	CCONJ
ap-6151	534	10	fast	fast	ADJ
ap-6151	534	11	direct	direct	ADJ
ap-6151	534	12	solvers	solver	NOUN
ap-6151	534	13	.	.	PUNCT
ap-6151	535	1	computer	computer	NOUN
ap-6151	535	2	methods	method	NOUN
ap-6151	535	3	in	in	ADP
ap-6151	535	4	applied	applied	ADJ
ap-6151	535	5	mechanics	mechanic	NOUN
ap-6151	535	6	and	and	CCONJ
ap-6151	535	7	engineering	engineering	NOUN
ap-6151	535	8	316:586–605	316:586–605	NUM
ap-6151	535	9	,	,	PUNCT
ap-6151	535	10	2017	2017	NUM
ap-6151	535	11	.	.	PUNCT
ap-6151	536	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	536	2	/	/	SYM
ap-6151	536	3	j.cma.2016.08.017	j.cma.2016.08.017	PROPN
ap-6151	536	4	.	.	PUNCT
ap-6151	537	1	[	[	X
ap-6151	537	2	43	43	NUM
ap-6151	537	3	]	]	X
ap-6151	537	4	d.	d.	PROPN
ap-6151	537	5	garcia	garcia	PROPN
ap-6151	537	6	,	,	PUNCT
ap-6151	537	7	d.	d.	PROPN
ap-6151	537	8	pardo	pardo	PROPN
ap-6151	537	9	,	,	PUNCT
ap-6151	537	10	v.	v.	PROPN
ap-6151	537	11	m.	m.	PROPN
ap-6151	537	12	calo	calo	PROPN
ap-6151	537	13	.	.	PROPN
ap-6151	537	14	refined	refine	VERB
ap-6151	537	15	isogeometric	isogeometric	ADJ
ap-6151	537	16	analysis	analysis	NOUN
ap-6151	537	17	for	for	ADP
ap-6151	537	18	fluid	fluid	ADJ
ap-6151	537	19	mechanics	mechanic	NOUN
ap-6151	537	20	and	and	CCONJ
ap-6151	537	21	electromagnetics	electromagnetic	NOUN
ap-6151	537	22	.	.	PUNCT
ap-6151	538	1	computer	computer	NOUN
ap-6151	538	2	methods	method	NOUN
ap-6151	538	3	in	in	ADP
ap-6151	538	4	applied	applied	ADJ
ap-6151	538	5	mechanics	mechanic	NOUN
ap-6151	538	6	and	and	CCONJ
ap-6151	538	7	engineering	engineering	NOUN
ap-6151	538	8	356:598–628	356:598–628	NUM
ap-6151	538	9	,	,	PUNCT
ap-6151	538	10	2019	2019	NUM
ap-6151	538	11	.	.	PUNCT
ap-6151	539	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	539	2	/	/	SYM
ap-6151	539	3	j.cma.2019.06.011	j.cma.2019.06.011	PROPN
ap-6151	539	4	.	.	PUNCT
ap-6151	540	1	[	[	X
ap-6151	540	2	44	44	NUM
ap-6151	540	3	]	]	PUNCT
ap-6151	540	4	f.	f.	PROPN
ap-6151	540	5	brezzi	brezzi	PROPN
ap-6151	540	6	,	,	PUNCT
ap-6151	540	7	m.	m.	PROPN
ap-6151	540	8	fortin	fortin	PROPN
ap-6151	540	9	.	.	PROPN
ap-6151	540	10	mixed	mixed	ADJ
ap-6151	540	11	and	and	CCONJ
ap-6151	540	12	hybrid	hybrid	ADJ
ap-6151	540	13	finite	finite	NOUN
ap-6151	540	14	element	element	NOUN
ap-6151	540	15	methods	method	NOUN
ap-6151	540	16	.	.	PUNCT
ap-6151	541	1	springer	springer	NOUN
ap-6151	541	2	-	-	PUNCT
ap-6151	541	3	verlag	verlag	PROPN
ap-6151	541	4	,	,	PUNCT
ap-6151	541	5	1991	1991	NUM
ap-6151	541	6	.	.	PUNCT
ap-6151	542	1	47	47	NUM
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ap-6151	542	11	http://dx.doi.org/10.1016/j.compstruc.2017.10.016	http://dx.doi.org/10.1016/j.compstruc.2017.10.016	PROPN
ap-6151	542	12	http://dx.doi.org/10.1080/10407790.2019.1627801	http://dx.doi.org/10.1080/10407790.2019.1627801	VERB
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ap-6151	542	14	http://dx.doi.org/10.1016/j.advengsoft.2017.06.012	http://dx.doi.org/10.1016/j.advengsoft.2017.06.012	VERB
ap-6151	543	1	http://dx.doi.org/10.1016/j.matcom.2016.05.010	http://dx.doi.org/10.1016/j.matcom.2016.05.010	NOUN
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ap-6151	543	4	http://dx.doi.org/10.1016/j.cagd.2015.03.014	http://dx.doi.org/10.1016/j.cagd.2015.03.014	PROPN
ap-6151	544	1	http://dx.doi.org/10.1007/978-3-319-22804-4_24	http://dx.doi.org/10.1007/978-3-319-22804-4_24	PROPN
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ap-6151	544	5	http://dx.doi.org/10.1016/j.aej.2016.09.013	http://dx.doi.org/10.1016/j.aej.2016.09.013	PROPN
ap-6151	544	6	http://dx.doi.org/10.21236/ada560496	http://dx.doi.org/10.21236/ada560496	NOUN
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ap-6151	544	10	b.	b.	PROPN
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ap-6151	544	12	,	,	PUNCT
ap-6151	544	13	m.	m.	NOUN
ap-6151	544	14	brandner	brandner	NOUN
ap-6151	544	15	,	,	PUNCT
ap-6151	544	16	j.	j.	PROPN
ap-6151	544	17	egermaier	egermaier	PROPN
ap-6151	545	1	et	et	PROPN
ap-6151	545	2	al	al	PROPN
ap-6151	545	3	.	.	PROPN
ap-6151	545	4	acta	acta	PROPN
ap-6151	545	5	polytechnica	polytechnica	PROPN
ap-6151	546	1	[	[	X
ap-6151	546	2	45	45	NUM
ap-6151	546	3	]	]	PUNCT
ap-6151	546	4	a.	a.	NOUN
ap-6151	546	5	bressan	bressan	PROPN
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ap-6151	546	8	sangalli	sangalli	PROPN
ap-6151	546	9	.	.	PUNCT
ap-6151	547	1	isogeometric	isogeometric	ADJ
ap-6151	547	2	discretizations	discretization	NOUN
ap-6151	547	3	of	of	ADP
ap-6151	547	4	the	the	DET
ap-6151	547	5	stokes	stoke	NOUN
ap-6151	547	6	problem	problem	NOUN
ap-6151	547	7	:	:	PUNCT
ap-6151	547	8	stability	stability	NOUN
ap-6151	547	9	analysis	analysis	NOUN
ap-6151	547	10	by	by	ADP
ap-6151	547	11	the	the	DET
ap-6151	547	12	macroelement	macroelement	NOUN
ap-6151	547	13	technique	technique	NOUN
ap-6151	547	14	.	.	PUNCT
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ap-6151	548	3	a	a	DET
ap-6151	548	4	journal	journal	NOUN
ap-6151	548	5	of	of	ADP
ap-6151	548	6	numerical	numerical	ADJ
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ap-6151	548	9	,	,	PUNCT
ap-6151	548	10	2012	2012	NUM
ap-6151	548	11	.	.	PUNCT
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ap-6151	549	2	/	/	SYM
ap-6151	549	3	imanum	imanum	PROPN
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ap-6151	549	5	drr056	drr056	PROPN
ap-6151	549	6	.	.	PUNCT
ap-6151	550	1	[	[	X
ap-6151	550	2	46	46	NUM
ap-6151	550	3	]	]	PUNCT
ap-6151	550	4	p.	p.	PROPN
ap-6151	550	5	n.	n.	PROPN
ap-6151	550	6	nielsen	nielsen	PROPN
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ap-6151	550	8	a.	a.	PROPN
ap-6151	550	9	r.	r.	PROPN
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ap-6151	550	12	j.	j.	PROPN
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ap-6151	551	1	discretizations	discretization	NOUN
ap-6151	551	2	in	in	ADP
ap-6151	551	3	isogeometric	isogeometric	ADJ
ap-6151	551	4	analysis	analysis	NOUN
ap-6151	551	5	of	of	ADP
ap-6151	551	6	navier	navier	NOUN
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ap-6151	551	9	flow	flow	NOUN
ap-6151	551	10	.	.	PUNCT
ap-6151	552	1	computer	computer	NOUN
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ap-6151	552	3	in	in	ADP
ap-6151	552	4	applied	applied	ADJ
ap-6151	552	5	mechanics	mechanic	NOUN
ap-6151	552	6	and	and	CCONJ
ap-6151	552	7	engineering	engineering	NOUN
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ap-6151	552	9	,	,	PUNCT
ap-6151	552	10	2011	2011	NUM
ap-6151	552	11	.	.	PUNCT
ap-6151	553	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	553	2	/	/	SYM
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ap-6151	553	4	.	.	PUNCT
ap-6151	554	1	[	[	X
ap-6151	554	2	47	47	NUM
ap-6151	554	3	]	]	X
ap-6151	554	4	v.	v.	PROPN
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ap-6151	554	9	.	.	PUNCT
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ap-6151	555	2	spurious	spurious	ADJ
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ap-6151	555	4	at	at	ADP
ap-6151	555	5	layers	layer	NOUN
ap-6151	555	6	diminishing	diminish	VERB
ap-6151	555	7	(	(	PUNCT
ap-6151	555	8	sold	sell	VERB
ap-6151	555	9	)	)	PUNCT
ap-6151	555	10	methods	method	NOUN
ap-6151	555	11	for	for	ADP
ap-6151	555	12	convectiondiffusion	convectiondiffusion	NOUN
ap-6151	555	13	equations	equation	NOUN
ap-6151	555	14	:	:	PUNCT
ap-6151	555	15	part	part	NOUN
ap-6151	555	16	i	i	PRON
ap-6151	555	17	a	a	DET
ap-6151	555	18	review	review	NOUN
ap-6151	555	19	.	.	PUNCT
ap-6151	556	1	computer	computer	NOUN
ap-6151	556	2	methods	method	NOUN
ap-6151	556	3	in	in	ADP
ap-6151	556	4	applied	applied	ADJ
ap-6151	556	5	mechanics	mechanic	NOUN
ap-6151	556	6	and	and	CCONJ
ap-6151	556	7	engineering	engineering	NOUN
ap-6151	556	8	196(17):2197	196(17):2197	NUM
ap-6151	556	9	–	–	PUNCT
ap-6151	556	10	2215	2215	NUM
ap-6151	556	11	,	,	PUNCT
ap-6151	556	12	2007	2007	NUM
ap-6151	556	13	.	.	PUNCT
ap-6151	557	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	557	2	/	/	SYM
ap-6151	557	3	j.cma.2006.11.013	j.cma.2006.11.013	PROPN
ap-6151	557	4	.	.	PUNCT
ap-6151	558	1	[	[	X
ap-6151	558	2	48	48	NUM
ap-6151	558	3	]	]	PUNCT
ap-6151	558	4	a.	a.	NOUN
ap-6151	558	5	n.	n.	PROPN
ap-6151	558	6	brooks	brooks	PROPN
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ap-6151	558	8	t.	t.	PROPN
ap-6151	558	9	j.	j.	PROPN
ap-6151	558	10	hughes	hughes	PROPN
ap-6151	558	11	.	.	PUNCT
ap-6151	559	1	streamline	streamline	VERB
ap-6151	559	2	upwind	upwind	PROPN
ap-6151	559	3	/	/	SYM
ap-6151	559	4	petrov	petrov	PROPN
ap-6151	559	5	-	-	PUNCT
ap-6151	559	6	galerkin	galerkin	PROPN
ap-6151	559	7	formulations	formulation	NOUN
ap-6151	559	8	for	for	ADP
ap-6151	559	9	convection	convection	NOUN
ap-6151	559	10	dominated	dominate	VERB
ap-6151	559	11	flows	flow	NOUN
ap-6151	559	12	with	with	ADP
ap-6151	559	13	particular	particular	ADJ
ap-6151	559	14	emphasis	emphasis	NOUN
ap-6151	559	15	on	on	ADP
ap-6151	559	16	the	the	DET
ap-6151	559	17	incompressible	incompressible	ADJ
ap-6151	559	18	navier	navier	NOUN
ap-6151	559	19	-	-	PUNCT
ap-6151	559	20	stokes	stoke	NOUN
ap-6151	559	21	equations	equation	NOUN
ap-6151	559	22	.	.	PUNCT
ap-6151	560	1	computer	computer	NOUN
ap-6151	560	2	methods	method	NOUN
ap-6151	560	3	in	in	ADP
ap-6151	560	4	applied	applied	ADJ
ap-6151	560	5	mechanics	mechanic	NOUN
ap-6151	560	6	and	and	CCONJ
ap-6151	560	7	engineering	engineering	NOUN
ap-6151	560	8	32(13):199–259	32(13):199–259	NUM
ap-6151	560	9	,	,	PUNCT
ap-6151	560	10	1982	1982	NUM
ap-6151	560	11	.	.	PUNCT
ap-6151	561	1	doi:10.1016/0045	doi:10.1016/0045	ADV
ap-6151	561	2	-	-	PUNCT
ap-6151	561	3	7825(82)90071	7825(82)90071	NUM
ap-6151	561	4	-	-	SYM
ap-6151	561	5	8	8	NUM
ap-6151	561	6	.	.	PUNCT
ap-6151	562	1	[	[	X
ap-6151	562	2	49	49	NUM
ap-6151	562	3	]	]	PUNCT
ap-6151	562	4	k.	k.	PROPN
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ap-6151	562	6	,	,	PUNCT
ap-6151	562	7	t.	t.	PROPN
ap-6151	562	8	e.	e.	PROPN
ap-6151	562	9	tezduyar	tezduyar	PROPN
ap-6151	562	10	,	,	PUNCT
ap-6151	562	11	y.	y.	PROPN
ap-6151	562	12	otoguro	otoguro	PROPN
ap-6151	562	13	.	.	PUNCT
ap-6151	563	1	stabilization	stabilization	NOUN
ap-6151	563	2	and	and	CCONJ
ap-6151	563	3	discontinuity	discontinuity	NOUN
ap-6151	563	4	-	-	PUNCT
ap-6151	563	5	capturing	capture	VERB
ap-6151	563	6	parameters	parameter	NOUN
ap-6151	563	7	for	for	ADP
ap-6151	563	8	space	space	NOUN
ap-6151	563	9	–	–	PUNCT
ap-6151	563	10	time	time	NOUN
ap-6151	563	11	flow	flow	NOUN
ap-6151	563	12	computations	computation	NOUN
ap-6151	563	13	with	with	ADP
ap-6151	563	14	finite	finite	ADJ
ap-6151	563	15	element	element	NOUN
ap-6151	563	16	and	and	CCONJ
ap-6151	563	17	isogeometric	isogeometric	ADJ
ap-6151	563	18	discretizations	discretization	NOUN
ap-6151	563	19	.	.	PUNCT
ap-6151	564	1	computational	computational	ADJ
ap-6151	564	2	mechanics	mechanic	NOUN
ap-6151	564	3	62(5):1169–1186	62(5):1169–1186	NUM
ap-6151	564	4	,	,	PUNCT
ap-6151	564	5	2018	2018	NUM
ap-6151	564	6	.	.	PUNCT
ap-6151	565	1	doi:10.1007	doi:10.1007	VERB
ap-6151	565	2	/	/	SYM
ap-6151	565	3	s00466	s00466	PROPN
ap-6151	565	4	-	-	PUNCT
ap-6151	565	5	018	018	NUM
ap-6151	565	6	-	-	PUNCT
ap-6151	565	7	1557	1557	NUM
ap-6151	565	8	-	-	PUNCT
ap-6151	565	9	x.	x.	NOUN
ap-6151	566	1	[	[	X
ap-6151	566	2	50	50	NUM
ap-6151	566	3	]	]	X
ap-6151	566	4	y.	y.	NOUN
ap-6151	566	5	chai	chai	PROPN
ap-6151	566	6	,	,	PUNCT
ap-6151	566	7	j.	j.	PROPN
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ap-6151	566	9	.	.	PUNCT
ap-6151	567	1	appropriate	appropriate	ADJ
ap-6151	567	2	stabilized	stabilize	VERB
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ap-6151	567	4	approaches	approach	NOUN
ap-6151	567	5	for	for	ADP
ap-6151	567	6	solving	solve	VERB
ap-6151	567	7	two	two	NUM
ap-6151	567	8	-	-	PUNCT
ap-6151	567	9	dimensional	dimensional	ADJ
ap-6151	567	10	coupled	couple	VERB
ap-6151	567	11	burgers	burger	NOUN
ap-6151	567	12	’	'	PUNCT
ap-6151	567	13	equations	equation	NOUN
ap-6151	567	14	at	at	ADP
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ap-6151	567	16	reynolds	reynold	NOUN
ap-6151	567	17	numbers	number	NOUN
ap-6151	567	18	.	.	PUNCT
ap-6151	568	1	computers	computer	NOUN
ap-6151	568	2	&	&	CCONJ
ap-6151	568	3	mathematics	mathematics	PROPN
ap-6151	568	4	with	with	ADP
ap-6151	568	5	applications	application	NOUN
ap-6151	568	6	79(5):1287–1301	79(5):1287–1301	NUM
ap-6151	568	7	,	,	PUNCT
ap-6151	568	8	2019	2019	NUM
ap-6151	568	9	.	.	PUNCT
ap-6151	569	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	569	2	/	/	SYM
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ap-6151	569	4	.	.	PUNCT
ap-6151	570	1	[	[	X
ap-6151	570	2	51	51	NUM
ap-6151	570	3	]	]	X
ap-6151	570	4	v.	v.	PROPN
ap-6151	570	5	john	john	PROPN
ap-6151	570	6	,	,	PUNCT
ap-6151	570	7	e.	e.	PROPN
ap-6151	570	8	schmeyer	schmeyer	PROPN
ap-6151	570	9	.	.	PUNCT
ap-6151	571	1	finite	finite	PROPN
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ap-6151	571	4	for	for	ADP
ap-6151	571	5	time	time	NOUN
ap-6151	571	6	-	-	PUNCT
ap-6151	571	7	dependent	dependent	ADJ
ap-6151	571	8	convection	convection	NOUN
ap-6151	571	9	–	–	PUNCT
ap-6151	571	10	diffusion	diffusion	NOUN
ap-6151	571	11	–	–	PUNCT
ap-6151	571	12	reaction	reaction	NOUN
ap-6151	571	13	equations	equation	NOUN
ap-6151	571	14	with	with	ADP
ap-6151	571	15	small	small	ADJ
ap-6151	571	16	diffusion	diffusion	NOUN
ap-6151	571	17	.	.	PUNCT
ap-6151	572	1	computer	computer	NOUN
ap-6151	572	2	methods	method	NOUN
ap-6151	572	3	in	in	ADP
ap-6151	572	4	applied	applied	ADJ
ap-6151	572	5	mechanics	mechanic	NOUN
ap-6151	572	6	and	and	CCONJ
ap-6151	572	7	engineering	engineering	NOUN
ap-6151	572	8	198(3	198(3	NUM
ap-6151	572	9	-	-	SYM
ap-6151	572	10	4):475–494	4):475–494	NUM
ap-6151	572	11	,	,	PUNCT
ap-6151	572	12	2008	2008	NUM
ap-6151	572	13	.	.	PUNCT
ap-6151	573	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	573	2	/	/	SYM
ap-6151	573	3	j.cma.2008.08.016	j.cma.2008.08.016	PROPN
ap-6151	573	4	.	.	PUNCT
ap-6151	574	1	[	[	X
ap-6151	574	2	52	52	NUM
ap-6151	574	3	]	]	X
ap-6151	574	4	u.	u.	PROPN
ap-6151	574	5	ghia	ghia	PROPN
ap-6151	574	6	,	,	PUNCT
ap-6151	574	7	k.	k.	PROPN
ap-6151	574	8	ghia	ghia	PROPN
ap-6151	574	9	,	,	PUNCT
ap-6151	574	10	c.	c.	PROPN
ap-6151	574	11	shin	shin	PROPN
ap-6151	574	12	.	.	PUNCT
ap-6151	575	1	high	high	ADJ
ap-6151	575	2	-	-	PUNCT
ap-6151	575	3	re	re	NOUN
ap-6151	575	4	solutions	solution	NOUN
ap-6151	575	5	for	for	ADP
ap-6151	575	6	incompressible	incompressible	ADJ
ap-6151	575	7	flow	flow	NOUN
ap-6151	575	8	using	use	VERB
ap-6151	575	9	the	the	DET
ap-6151	575	10	navier	navier	NOUN
ap-6151	575	11	-	-	PUNCT
ap-6151	575	12	stokes	stoke	NOUN
ap-6151	575	13	equations	equation	NOUN
ap-6151	575	14	and	and	CCONJ
ap-6151	575	15	a	a	DET
ap-6151	575	16	multigrid	multigrid	NOUN
ap-6151	575	17	method	method	NOUN
ap-6151	575	18	.	.	PUNCT
ap-6151	576	1	journal	journal	NOUN
ap-6151	576	2	of	of	ADP
ap-6151	576	3	computational	computational	ADJ
ap-6151	576	4	physics	physics	NOUN
ap-6151	576	5	48(3):387–411	48(3):387–411	PROPN
ap-6151	576	6	,	,	PUNCT
ap-6151	576	7	1982	1982	NUM
ap-6151	576	8	.	.	PUNCT
ap-6151	577	1	doi:10.1016/0021	doi:10.1016/0021	VERB
ap-6151	577	2	-	-	PUNCT
ap-6151	577	3	9991(82)90058	9991(82)90058	NUM
ap-6151	577	4	-	-	PUNCT
ap-6151	577	5	4	4	NUM
ap-6151	577	6	.	.	PUNCT
ap-6151	578	1	[	[	X
ap-6151	578	2	53	53	NUM
ap-6151	578	3	]	]	PUNCT
ap-6151	578	4	o.	o.	NOUN
ap-6151	578	5	botella	botella	PROPN
ap-6151	578	6	,	,	PUNCT
ap-6151	578	7	r.	r.	PROPN
ap-6151	578	8	peyret	peyret	PROPN
ap-6151	578	9	.	.	PUNCT
ap-6151	579	1	benchmark	benchmark	ADJ
ap-6151	579	2	spectral	spectral	ADJ
ap-6151	579	3	results	result	NOUN
ap-6151	579	4	on	on	ADP
ap-6151	579	5	the	the	DET
ap-6151	579	6	lid	lid	NOUN
ap-6151	579	7	-	-	PUNCT
ap-6151	579	8	driven	drive	VERB
ap-6151	579	9	cavity	cavity	NOUN
ap-6151	579	10	flow	flow	NOUN
ap-6151	579	11	.	.	PUNCT
ap-6151	580	1	computers	computer	NOUN
ap-6151	580	2	&	&	CCONJ
ap-6151	580	3	fluids	fluid	NOUN
ap-6151	580	4	27(4):421	27(4):421	NOUN
ap-6151	580	5	–	–	PUNCT
ap-6151	580	6	433	433	NUM
ap-6151	580	7	,	,	PUNCT
ap-6151	580	8	1998	1998	NUM
ap-6151	580	9	.	.	PUNCT
ap-6151	581	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	581	2	/	/	SYM
ap-6151	581	3	s0045	s0045	PROPN
ap-6151	581	4	-	-	PUNCT
ap-6151	581	5	7930(98)00002	7930(98)00002	NUM
ap-6151	581	6	-	-	PUNCT
ap-6151	581	7	4	4	NUM
ap-6151	581	8	.	.	PUNCT
ap-6151	582	1	[	[	X
ap-6151	582	2	54	54	NUM
ap-6151	582	3	]	]	PUNCT
ap-6151	582	4	e.	e.	PROPN
ap-6151	582	5	erturk	erturk	PROPN
ap-6151	582	6	,	,	PUNCT
ap-6151	582	7	t.	t.	PROPN
ap-6151	582	8	c.	c.	PROPN
ap-6151	582	9	corke	corke	PROPN
ap-6151	582	10	,	,	PUNCT
ap-6151	582	11	c.	c.	NOUN
ap-6151	582	12	gökçöl	gökçöl	PROPN
ap-6151	582	13	.	.	PUNCT
ap-6151	583	1	numerical	numerical	ADJ
ap-6151	583	2	solutions	solution	NOUN
ap-6151	583	3	of	of	ADP
ap-6151	583	4	2	2	NUM
ap-6151	583	5	-	-	PUNCT
ap-6151	583	6	d	d	NOUN
ap-6151	583	7	steady	steady	ADJ
ap-6151	583	8	incompressible	incompressible	ADJ
ap-6151	583	9	driven	drive	VERB
ap-6151	583	10	cavity	cavity	NOUN
ap-6151	583	11	flow	flow	NOUN
ap-6151	583	12	at	at	ADP
ap-6151	583	13	high	high	ADJ
ap-6151	583	14	reynolds	reynold	NOUN
ap-6151	583	15	numbers	number	NOUN
ap-6151	583	16	.	.	PUNCT
ap-6151	584	1	international	international	ADJ
ap-6151	584	2	journal	journal	PROPN
ap-6151	584	3	for	for	ADP
ap-6151	584	4	numerical	numerical	ADJ
ap-6151	584	5	methods	method	NOUN
ap-6151	584	6	in	in	ADP
ap-6151	584	7	fluids	fluid	NOUN
ap-6151	584	8	48(7):747–774	48(7):747–774	PROPN
ap-6151	584	9	,	,	PUNCT
ap-6151	584	10	2005	2005	NUM
ap-6151	584	11	.	.	PUNCT
ap-6151	585	1	doi:10.1002	doi:10.1002	NOUN
ap-6151	585	2	/	/	SYM
ap-6151	585	3	fld.953	fld.953	NOUN
ap-6151	585	4	.	.	PUNCT
ap-6151	586	1	[	[	X
ap-6151	586	2	55	55	NUM
ap-6151	586	3	]	]	X
ap-6151	586	4	y.	y.	PROPN
ap-6151	586	5	papadopoulos	papadopoulos	PROPN
ap-6151	586	6	.	.	PUNCT
ap-6151	587	1	a	a	DET
ap-6151	587	2	driven	drive	VERB
ap-6151	587	3	cavity	cavity	NOUN
ap-6151	587	4	exploration	exploration	NOUN
ap-6151	587	5	.	.	PUNCT
ap-6151	588	1	<	<	X
ap-6151	588	2	https://www.acenumerics.com/the-cavitysessions.html	https://www.acenumerics.com/the-cavitysessions.html	X
ap-6151	588	3	>	>	X
ap-6151	589	1	[	[	X
ap-6151	589	2	online	online	ADV
ap-6151	589	3	;	;	PUNCT
ap-6151	589	4	accessed	access	VERB
ap-6151	589	5	30	30	NUM
ap-6151	589	6	-	-	PUNCT
ap-6151	589	7	jan-2020	jan-2020	NOUN
ap-6151	589	8	]	]	PUNCT
ap-6151	589	9	.	.	PUNCT
ap-6151	590	1	[	[	X
ap-6151	590	2	56	56	NUM
ap-6151	590	3	]	]	X
ap-6151	590	4	c.-h	c.-h	NOUN
ap-6151	590	5	.	.	PUNCT
ap-6151	590	6	bruneau	bruneau	PROPN
ap-6151	590	7	,	,	PUNCT
ap-6151	590	8	m.	m.	NOUN
ap-6151	590	9	saad	saad	PROPN
ap-6151	590	10	.	.	PUNCT
ap-6151	591	1	the	the	DET
ap-6151	591	2	2d	2d	NUM
ap-6151	591	3	lid	lid	NOUN
ap-6151	591	4	-	-	PUNCT
ap-6151	591	5	driven	drive	VERB
ap-6151	591	6	cavity	cavity	NOUN
ap-6151	591	7	problem	problem	NOUN
ap-6151	591	8	revisited	revisit	VERB
ap-6151	591	9	.	.	PUNCT
ap-6151	592	1	computers	computer	NOUN
ap-6151	592	2	&	&	CCONJ
ap-6151	592	3	fluids	fluid	NOUN
ap-6151	592	4	35:326–348	35:326–348	PROPN
ap-6151	592	5	,	,	PUNCT
ap-6151	592	6	2006	2006	NUM
ap-6151	592	7	.	.	PUNCT
ap-6151	593	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	593	2	/	/	SYM
ap-6151	593	3	j.compfluid.2004.12.004	j.compfluid.2004.12.004	PROPN
ap-6151	593	4	.	.	PUNCT
ap-6151	594	1	[	[	X
ap-6151	594	2	57	57	NUM
ap-6151	594	3	]	]	PUNCT
ap-6151	594	4	e.	e.	PROPN
ap-6151	594	5	erturk	erturk	PROPN
ap-6151	594	6	.	.	PUNCT
ap-6151	595	1	discussions	discussion	NOUN
ap-6151	595	2	on	on	ADP
ap-6151	595	3	driven	drive	VERB
ap-6151	595	4	cavity	cavity	NOUN
ap-6151	595	5	flow	flow	NOUN
ap-6151	595	6	.	.	PUNCT
ap-6151	596	1	international	international	ADJ
ap-6151	596	2	journal	journal	PROPN
ap-6151	596	3	for	for	ADP
ap-6151	596	4	numerical	numerical	ADJ
ap-6151	596	5	methods	method	NOUN
ap-6151	596	6	in	in	ADP
ap-6151	596	7	fluids	fluid	NOUN
ap-6151	596	8	60(3):275–294	60(3):275–294	NOUN
ap-6151	596	9	,	,	PUNCT
ap-6151	596	10	2009	2009	NUM
ap-6151	596	11	.	.	PUNCT
ap-6151	597	1	doi:10.1002	doi:10.1002	NOUN
ap-6151	597	2	/	/	SYM
ap-6151	597	3	fld.1887	fld.1887	PROPN
ap-6151	597	4	.	.	PUNCT
ap-6151	598	1	[	[	X
ap-6151	598	2	58	58	NUM
ap-6151	598	3	]	]	PUNCT
ap-6151	598	4	z.	z.	PROPN
ap-6151	598	5	cai	cai	PROPN
ap-6151	598	6	,	,	PUNCT
ap-6151	598	7	y.	y.	PROPN
ap-6151	598	8	wang	wang	PROPN
ap-6151	598	9	.	.	PUNCT
ap-6151	599	1	an	an	DET
ap-6151	599	2	error	error	NOUN
ap-6151	599	3	estimate	estimate	NOUN
ap-6151	599	4	for	for	ADP
ap-6151	599	5	two	two	NUM
ap-6151	599	6	-	-	PUNCT
ap-6151	599	7	dimensional	dimensional	ADJ
ap-6151	599	8	stokes	stoke	NOUN
ap-6151	599	9	driven	drive	VERB
ap-6151	599	10	cavity	cavity	NOUN
ap-6151	599	11	flow	flow	NOUN
ap-6151	599	12	.	.	PUNCT
ap-6151	600	1	mathematics	mathematic	NOUN
ap-6151	600	2	of	of	ADP
ap-6151	600	3	computation	computation	NOUN
ap-6151	600	4	78(266):771–787	78(266):771–787	PROPN
ap-6151	600	5	,	,	PUNCT
ap-6151	600	6	2009	2009	NUM
ap-6151	600	7	.	.	PUNCT
ap-6151	601	1	[	[	X
ap-6151	601	2	59	59	NUM
ap-6151	601	3	]	]	PUNCT
ap-6151	601	4	p.	p.	NOUN
ap-6151	601	5	matuszyk	matuszyk	NOUN
ap-6151	601	6	,	,	PUNCT
ap-6151	601	7	m.	m.	NOUN
ap-6151	601	8	paszyński	paszyński	NOUN
ap-6151	601	9	.	.	PUNCT
ap-6151	602	1	fully	fully	ADV
ap-6151	602	2	automatic	automatic	ADJ
ap-6151	602	3	hp	hp	ADJ
ap-6151	602	4	adaptive	adaptive	ADJ
ap-6151	602	5	finite	finite	PROPN
ap-6151	602	6	element	element	NOUN
ap-6151	602	7	method	method	NOUN
ap-6151	602	8	for	for	ADP
ap-6151	602	9	the	the	DET
ap-6151	602	10	stokes	stoke	NOUN
ap-6151	602	11	problem	problem	NOUN
ap-6151	602	12	in	in	ADP
ap-6151	602	13	two	two	NUM
ap-6151	602	14	dimensions	dimension	NOUN
ap-6151	602	15	.	.	PUNCT
ap-6151	603	1	computer	computer	NOUN
ap-6151	603	2	methods	method	NOUN
ap-6151	603	3	in	in	ADP
ap-6151	603	4	applied	applied	ADJ
ap-6151	603	5	mechanics	mechanic	NOUN
ap-6151	603	6	and	and	CCONJ
ap-6151	603	7	engineering	engineering	NOUN
ap-6151	603	8	197(51	197(51	NOUN
ap-6151	603	9	-	-	PUNCT
ap-6151	603	10	52):4549–4558	52):4549–4558	ADJ
ap-6151	603	11	,	,	PUNCT
ap-6151	603	12	2008	2008	NUM
ap-6151	603	13	.	.	PUNCT
ap-6151	604	1	doi:10.1016	doi:10.1016	PROPN
ap-6151	604	2	/	/	SYM
ap-6151	604	3	j.cma.2008.05.027	j.cma.2008.05.027	PROPN
ap-6151	604	4	.	.	PUNCT
ap-6151	605	1	[	[	X
ap-6151	605	2	60	60	NUM
ap-6151	605	3	]	]	PUNCT
ap-6151	605	4	m.	m.	NOUN
ap-6151	605	5	s.	s.	PROPN
ap-6151	605	6	alnaes	alnaes	PROPN
ap-6151	605	7	,	,	PUNCT
ap-6151	605	8	j.	j.	PROPN
ap-6151	605	9	blechta	blechta	PROPN
ap-6151	605	10	,	,	PUNCT
ap-6151	605	11	j.	j.	PROPN
ap-6151	605	12	hake	hake	PROPN
ap-6151	605	13	,	,	PUNCT
ap-6151	605	14	et	et	PROPN
ap-6151	605	15	al	al	PROPN
ap-6151	605	16	.	.	PUNCT
ap-6151	606	1	the	the	DET
ap-6151	606	2	fenics	fenics	PROPN
ap-6151	606	3	project	project	VERB
ap-6151	606	4	version	version	NOUN
ap-6151	606	5	1.5	1.5	NUM
ap-6151	606	6	.	.	PUNCT
ap-6151	607	1	archive	archive	NOUN
ap-6151	607	2	of	of	ADP
ap-6151	607	3	numerical	numerical	ADJ
ap-6151	607	4	software	software	NOUN
ap-6151	607	5	3:9–23	3:9–23	NUM
ap-6151	607	6	,	,	PUNCT
ap-6151	607	7	2015	2015	NUM
ap-6151	607	8	.	.	PUNCT
ap-6151	608	1	[	[	X
ap-6151	608	2	61	61	NUM
ap-6151	608	3	]	]	X
ap-6151	608	4	b.	b.	PROPN
ap-6151	608	5	jüttler	jüttler	PROPN
ap-6151	608	6	,	,	PUNCT
ap-6151	608	7	u.	u.	PROPN
ap-6151	608	8	langer	langer	PROPN
ap-6151	608	9	,	,	PUNCT
ap-6151	608	10	a.	a.	NOUN
ap-6151	608	11	mantzaflaris	mantzaflaris	PROPN
ap-6151	608	12	,	,	PUNCT
ap-6151	608	13	et	et	PROPN
ap-6151	608	14	al	al	PROPN
ap-6151	608	15	.	.	PUNCT
ap-6151	608	16	geometry	geometry	NOUN
ap-6151	608	17	+	+	CCONJ
ap-6151	608	18	simulation	simulation	NOUN
ap-6151	608	19	modules	module	NOUN
ap-6151	608	20	:	:	PUNCT
ap-6151	608	21	implementing	implement	VERB
ap-6151	608	22	isogeometric	isogeometric	ADJ
ap-6151	608	23	analysis	analysis	NOUN
ap-6151	608	24	.	.	PUNCT
ap-6151	609	1	in	in	ADP
ap-6151	609	2	pamm	pamm	PROPN
ap-6151	609	3	–	–	PUNCT
ap-6151	609	4	proceedings	proceeding	NOUN
ap-6151	609	5	of	of	ADP
ap-6151	609	6	applied	apply	VERB
ap-6151	609	7	mathematics	mathematic	NOUN
ap-6151	609	8	and	and	CCONJ
ap-6151	609	9	mechanics	mechanic	NOUN
ap-6151	609	10	,	,	PUNCT
ap-6151	609	11	vol	vol	NOUN
ap-6151	609	12	.	.	PROPN
ap-6151	609	13	14	14	NUM
ap-6151	609	14	,	,	PUNCT
ap-6151	609	15	pp	pp	ADJ
ap-6151	609	16	.	.	PUNCT
ap-6151	610	1	961–962	961–962	NUM
ap-6151	610	2	.	.	X
ap-6151	611	1	2014	2014	NUM
ap-6151	611	2	.	.	PUNCT
ap-6151	612	1	doi:10.1002	doi:10.1002	NOUN
ap-6151	612	2	/	/	SYM
ap-6151	612	3	pamm.201410461	pamm.201410461	PROPN
ap-6151	612	4	.	.	PUNCT
ap-6151	613	1	[	[	X
ap-6151	613	2	62	62	NUM
ap-6151	613	3	]	]	PUNCT
ap-6151	613	4	i.	i.	PROPN
ap-6151	613	5	s.	s.	PROPN
ap-6151	613	6	duff	duff	PROPN
ap-6151	613	7	,	,	PUNCT
ap-6151	613	8	j.	j.	PROPN
ap-6151	613	9	k.	k.	PROPN
ap-6151	613	10	reid	reid	PROPN
ap-6151	613	11	.	.	PUNCT
ap-6151	614	1	the	the	DET
ap-6151	614	2	multifrontal	multifrontal	ADJ
ap-6151	614	3	solution	solution	NOUN
ap-6151	614	4	of	of	ADP
ap-6151	614	5	indefinite	indefinite	ADJ
ap-6151	614	6	sparse	sparse	ADJ
ap-6151	614	7	symmetric	symmetric	ADJ
ap-6151	614	8	linear	linear	NOUN
ap-6151	614	9	.	.	PUNCT
ap-6151	615	1	acm	acm	PROPN
ap-6151	615	2	trans	trans	PROPN
ap-6151	615	3	math	math	PROPN
ap-6151	615	4	softw	softw	PROPN
ap-6151	615	5	9(3):302–325	9(3):302–325	NUM
ap-6151	615	6	,	,	PUNCT
ap-6151	615	7	1983	1983	NUM
ap-6151	615	8	.	.	PUNCT
ap-6151	616	1	doi:10.1145/356044.356047	doi:10.1145/356044.356047	NOUN
ap-6151	616	2	.	.	PUNCT
ap-6151	617	1	48	48	NUM
ap-6151	617	2	http://dx.doi.org/10.1093/imanum/drr056	http://dx.doi.org/10.1093/imanum/drr056	ADJ
ap-6151	617	3	http://dx.doi.org/10.1016/j.cma.2011.06.007	http://dx.doi.org/10.1016/j.cma.2011.06.007	PROPN
ap-6151	617	4	http://dx.doi.org/10.1016/j.cma.2006.11.013	http://dx.doi.org/10.1016/j.cma.2006.11.013	PROPN
ap-6151	617	5	http://dx.doi.org/10.1016/0045-7825(82)90071-8	http://dx.doi.org/10.1016/0045-7825(82)90071-8	PROPN
ap-6151	617	6	http://dx.doi.org/10.1007/s00466-018-1557-x	http://dx.doi.org/10.1007/s00466-018-1557-x	PROPN
ap-6151	617	7	http://dx.doi.org/10.1016/j.camwa.2019.08.036	http://dx.doi.org/10.1016/j.camwa.2019.08.036	PROPN
ap-6151	617	8	http://dx.doi.org/10.1016/j.cma.2008.08.016	http://dx.doi.org/10.1016/j.cma.2008.08.016	PROPN
ap-6151	617	9	http://dx.doi.org/10.1016/0021-9991(82)90058-4	http://dx.doi.org/10.1016/0021-9991(82)90058-4	VERB
ap-6151	618	1	http://dx.doi.org/10.1016/s0045-7930(98)00002-4	http://dx.doi.org/10.1016/s0045-7930(98)00002-4	ADJ
ap-6151	618	2	http://dx.doi.org/10.1002/fld.953	http://dx.doi.org/10.1002/fld.953	NOUN
ap-6151	618	3	http://dx.doi.org/10.1016/j.compfluid.2004.12.004	http://dx.doi.org/10.1016/j.compfluid.2004.12.004	PROPN
ap-6151	618	4	http://dx.doi.org/10.1002/fld.1887	http://dx.doi.org/10.1002/fld.1887	ADV
ap-6151	618	5	http://dx.doi.org/10.1016/j.cma.2008.05.027	http://dx.doi.org/10.1016/j.cma.2008.05.027	PROPN
ap-6151	618	6	http://dx.doi.org/10.1002/pamm.201410461	http://dx.doi.org/10.1002/pamm.201410461	VERB
ap-6151	618	7	http://dx.doi.org/10.1145/356044.356047	http://dx.doi.org/10.1145/356044.356047	ADJ
ap-6151	618	8	acta	acta	PROPN
ap-6151	618	9	polytechnica	polytechnica	PROPN
ap-6151	618	10	61(si):33–48	61(si):33–48	NUM
ap-6151	618	11	,	,	PUNCT
ap-6151	618	12	2021	2021	NUM
ap-6151	618	13	1	1	NUM
ap-6151	618	14	introduction	introduction	NOUN
ap-6151	618	15	2	2	NUM
ap-6151	618	16	navier	navier	NOUN
ap-6151	618	17	-	-	PUNCT
ap-6151	618	18	stokes	stoke	NOUN
ap-6151	618	19	equations	equation	NOUN
ap-6151	618	20	2.1	2.1	NUM
ap-6151	618	21	galerkin	galerkin	ADJ
ap-6151	618	22	discretization	discretization	NOUN
ap-6151	618	23	2.2	2.2	NUM
ap-6151	618	24	lbb	lbb	PROPN
ap-6151	618	25	condition	condition	NOUN
ap-6151	618	26	3	3	NUM
ap-6151	618	27	isogeometric	isogeometric	ADJ
ap-6151	618	28	analysis	analysis	NOUN
ap-6151	618	29	4	4	NUM
ap-6151	618	30	streamline	streamline	VERB
ap-6151	618	31	upwind	upwind	NOUN
ap-6151	618	32	/	/	SYM
ap-6151	618	33	petrov	petrov	PROPN
ap-6151	618	34	-	-	PUNCT
ap-6151	618	35	galerkin	galerkin	PROPN
ap-6151	618	36	(	(	PUNCT
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ap-6151	618	38	)	)	PUNCT
ap-6151	618	39	stabilization	stabilization	NOUN
ap-6151	618	40	5	5	NUM
ap-6151	618	41	lid	lid	NOUN
ap-6151	618	42	-	-	PUNCT
ap-6151	618	43	driven	drive	VERB
ap-6151	618	44	cavity	cavity	NOUN
ap-6151	618	45	flow	flow	VERB
ap-6151	618	46	6	6	NUM
ap-6151	618	47	results	result	NOUN
ap-6151	618	48	7	7	NUM
ap-6151	618	49	conclusions	conclusion	NOUN
ap-6151	618	50	acknowledgements	acknowledgement	NOUN
ap-6151	618	51	references	reference	NOUN