id	sid	tid	token	lemma	pos
ap-6080	1	1	acta	acta	PROPN
ap-6080	1	2	polytechnica	polytechnica	PROPN
ap-6080	1	3	https://doi.org/10.14311/ap.2021.61.0155	https://doi.org/10.14311/ap.2021.61.0155	PROPN
ap-6080	1	4	acta	acta	PROPN
ap-6080	1	5	polytechnica	polytechnica	PROPN
ap-6080	1	6	61(si):155–162	61(si):155–162	PROPN
ap-6080	1	7	,	,	PUNCT
ap-6080	1	8	2021	2021	NUM
ap-6080	1	9	©	©	ADP
ap-6080	1	10	2021	2021	NUM
ap-6080	1	11	the	the	DET
ap-6080	1	12	author(s	author(s	NOUN
ap-6080	1	13	)	)	PUNCT
ap-6080	1	14	.	.	PUNCT
ap-6080	2	1	licensed	license	VERB
ap-6080	2	2	under	under	ADP
ap-6080	2	3	a	a	DET
ap-6080	2	4	cc	cc	NOUN
ap-6080	2	5	-	-	PUNCT
ap-6080	2	6	by	by	ADP
ap-6080	2	7	4.0	4.0	NUM
ap-6080	2	8	licence	licence	NOUN
ap-6080	2	9	published	publish	VERB
ap-6080	2	10	by	by	ADP
ap-6080	2	11	the	the	DET
ap-6080	2	12	czech	czech	PROPN
ap-6080	2	13	technical	technical	PROPN
ap-6080	2	14	university	university	PROPN
ap-6080	2	15	in	in	ADP
ap-6080	2	16	prague	prague	PROPN
ap-6080	2	17	numerical	numerical	PROPN
ap-6080	2	18	solution	solution	NOUN
ap-6080	2	19	of	of	ADP
ap-6080	2	20	fluid	fluid	ADJ
ap-6080	2	21	-	-	PUNCT
ap-6080	2	22	structure	structure	NOUN
ap-6080	2	23	interaction	interaction	NOUN
ap-6080	2	24	problems	problem	NOUN
ap-6080	2	25	with	with	ADP
ap-6080	2	26	considering	consider	VERB
ap-6080	2	27	of	of	ADP
ap-6080	2	28	contacts	contact	NOUN
ap-6080	2	29	petr	petr	PROPN
ap-6080	2	30	sváček	sváček	PROPN
ap-6080	2	31	czech	czech	PROPN
ap-6080	2	32	technical	technical	PROPN
ap-6080	2	33	university	university	PROPN
ap-6080	2	34	in	in	ADP
ap-6080	2	35	prague	prague	PROPN
ap-6080	2	36	,	,	PUNCT
ap-6080	2	37	faculty	faculty	NOUN
ap-6080	2	38	of	of	ADP
ap-6080	2	39	mechanical	mechanical	ADJ
ap-6080	2	40	engineering	engineering	NOUN
ap-6080	2	41	,	,	PUNCT
ap-6080	2	42	department	department	NOUN
ap-6080	2	43	of	of	ADP
ap-6080	2	44	technical	technical	ADJ
ap-6080	2	45	mathematics	mathematic	NOUN
ap-6080	2	46	,	,	PUNCT
ap-6080	2	47	karlovo	karlovo	PROPN
ap-6080	2	48	nám	nám	PROPN
ap-6080	2	49	.	.	PROPN
ap-6080	3	1	13	13	NUM
ap-6080	3	2	,	,	PUNCT
ap-6080	3	3	121	121	NUM
ap-6080	3	4	35	35	NUM
ap-6080	3	5	praha	praha	NOUN
ap-6080	3	6	2	2	NUM
ap-6080	3	7	,	,	PUNCT
ap-6080	3	8	czech	czech	PROPN
ap-6080	3	9	republic	republic	NOUN
ap-6080	3	10	correspondence	correspondence	NOUN
ap-6080	3	11	:	:	PUNCT
ap-6080	3	12	petr.svacek@fs.cvut.cz	petr.svacek@fs.cvut.cz	NOUN
ap-6080	3	13	abstract	abstract	NOUN
ap-6080	3	14	.	.	PUNCT
ap-6080	4	1	this	this	DET
ap-6080	4	2	paper	paper	NOUN
ap-6080	4	3	is	be	AUX
ap-6080	4	4	interested	interested	ADJ
ap-6080	4	5	in	in	ADP
ap-6080	4	6	the	the	DET
ap-6080	4	7	mathematical	mathematical	ADJ
ap-6080	4	8	modelling	modelling	NOUN
ap-6080	4	9	of	of	ADP
ap-6080	4	10	the	the	DET
ap-6080	4	11	voice	voice	NOUN
ap-6080	4	12	production	production	NOUN
ap-6080	4	13	process	process	NOUN
ap-6080	4	14	.	.	PUNCT
ap-6080	5	1	the	the	DET
ap-6080	5	2	main	main	ADJ
ap-6080	5	3	attention	attention	NOUN
ap-6080	5	4	is	be	AUX
ap-6080	5	5	on	on	ADP
ap-6080	5	6	the	the	DET
ap-6080	5	7	possible	possible	ADJ
ap-6080	5	8	closure	closure	NOUN
ap-6080	5	9	of	of	ADP
ap-6080	5	10	the	the	DET
ap-6080	5	11	glottis	glottis	NOUN
ap-6080	5	12	,	,	PUNCT
ap-6080	5	13	which	which	PRON
ap-6080	5	14	is	be	AUX
ap-6080	5	15	included	include	VERB
ap-6080	5	16	in	in	ADP
ap-6080	5	17	the	the	DET
ap-6080	5	18	model	model	NOUN
ap-6080	5	19	with	with	ADP
ap-6080	5	20	the	the	DET
ap-6080	5	21	concept	concept	NOUN
ap-6080	5	22	of	of	ADP
ap-6080	5	23	a	a	DET
ap-6080	5	24	fictitious	fictitious	ADJ
ap-6080	5	25	porous	porous	ADJ
ap-6080	5	26	media	medium	NOUN
ap-6080	5	27	and	and	CCONJ
ap-6080	5	28	using	use	VERB
ap-6080	5	29	the	the	DET
ap-6080	5	30	hertz	hertz	NOUN
ap-6080	5	31	impact	impact	NOUN
ap-6080	5	32	force	force	NOUN
ap-6080	5	33	the	the	DET
ap-6080	5	34	time	time	NOUN
ap-6080	5	35	dependent	dependent	ADJ
ap-6080	5	36	computational	computational	ADJ
ap-6080	5	37	domain	domain	NOUN
ap-6080	5	38	is	be	AUX
ap-6080	5	39	treated	treat	VERB
ap-6080	5	40	with	with	ADP
ap-6080	5	41	the	the	DET
ap-6080	5	42	aid	aid	NOUN
ap-6080	5	43	of	of	ADP
ap-6080	5	44	the	the	DET
ap-6080	5	45	arbitrary	arbitrary	ADJ
ap-6080	5	46	lagrangian	lagrangian	ADJ
ap-6080	5	47	-	-	PUNCT
ap-6080	5	48	eulerian	eulerian	ADJ
ap-6080	5	49	method	method	NOUN
ap-6080	5	50	and	and	CCONJ
ap-6080	5	51	the	the	DET
ap-6080	5	52	fluid	fluid	ADJ
ap-6080	5	53	motion	motion	NOUN
ap-6080	5	54	is	be	AUX
ap-6080	5	55	described	describe	VERB
ap-6080	5	56	by	by	ADP
ap-6080	5	57	the	the	DET
ap-6080	5	58	incompressible	incompressible	ADJ
ap-6080	5	59	navier	navier	NOUN
ap-6080	5	60	-	-	PUNCT
ap-6080	5	61	stokes	stoke	NOUN
ap-6080	5	62	equations	equation	NOUN
ap-6080	5	63	coupled	couple	VERB
ap-6080	5	64	to	to	ADP
ap-6080	5	65	structural	structural	ADJ
ap-6080	5	66	dynamics	dynamic	NOUN
ap-6080	5	67	.	.	PUNCT
ap-6080	6	1	in	in	ADP
ap-6080	6	2	order	order	NOUN
ap-6080	6	3	to	to	PART
ap-6080	6	4	overcome	overcome	VERB
ap-6080	6	5	the	the	DET
ap-6080	6	6	instability	instability	NOUN
ap-6080	6	7	caused	cause	VERB
ap-6080	6	8	by	by	ADP
ap-6080	6	9	the	the	DET
ap-6080	6	10	dominating	dominating	NOUN
ap-6080	6	11	convection	convection	NOUN
ap-6080	6	12	due	due	ADP
ap-6080	6	13	to	to	ADP
ap-6080	6	14	high	high	ADJ
ap-6080	6	15	reynolds	reynold	NOUN
ap-6080	6	16	numbers	number	NOUN
ap-6080	6	17	,	,	PUNCT
ap-6080	6	18	stabilization	stabilization	NOUN
ap-6080	6	19	procedures	procedure	NOUN
ap-6080	6	20	are	be	AUX
ap-6080	6	21	applied	apply	VERB
ap-6080	6	22	and	and	CCONJ
ap-6080	6	23	numerically	numerically	ADV
ap-6080	6	24	analyzed	analyze	VERB
ap-6080	6	25	for	for	ADP
ap-6080	6	26	a	a	DET
ap-6080	6	27	simplified	simplified	ADJ
ap-6080	6	28	problem	problem	NOUN
ap-6080	6	29	.	.	PUNCT
ap-6080	7	1	the	the	DET
ap-6080	7	2	possible	possible	ADJ
ap-6080	7	3	distortion	distortion	NOUN
ap-6080	7	4	of	of	ADP
ap-6080	7	5	the	the	DET
ap-6080	7	6	computational	computational	ADJ
ap-6080	7	7	mesh	mesh	NOUN
ap-6080	7	8	is	be	AUX
ap-6080	7	9	considered	consider	VERB
ap-6080	7	10	.	.	PUNCT
ap-6080	8	1	numerical	numerical	ADJ
ap-6080	8	2	results	result	NOUN
ap-6080	8	3	are	be	AUX
ap-6080	8	4	shown	show	VERB
ap-6080	8	5	.	.	PUNCT
ap-6080	9	1	keywords	keyword	NOUN
ap-6080	9	2	:	:	PUNCT
ap-6080	9	3	aeroelasticity	aeroelasticity	NOUN
ap-6080	9	4	,	,	PUNCT
ap-6080	9	5	finite	finite	PROPN
ap-6080	9	6	element	element	NOUN
ap-6080	9	7	method	method	NOUN
ap-6080	9	8	,	,	PUNCT
ap-6080	9	9	incompressible	incompressible	ADJ
ap-6080	9	10	fluid	fluid	NOUN
ap-6080	9	11	.	.	PUNCT
ap-6080	10	1	1	1	X
ap-6080	10	2	.	.	X
ap-6080	10	3	introduction	introduction	NOUN
ap-6080	10	4	the	the	DET
ap-6080	10	5	voice	voice	NOUN
ap-6080	10	6	production	production	NOUN
ap-6080	10	7	mechanism	mechanism	NOUN
ap-6080	10	8	is	be	AUX
ap-6080	10	9	a	a	DET
ap-6080	10	10	complex	complex	ADJ
ap-6080	10	11	process	process	NOUN
ap-6080	10	12	consisting	consist	VERB
ap-6080	10	13	of	of	ADP
ap-6080	10	14	a	a	DET
ap-6080	10	15	fluid	fluid	ADJ
ap-6080	10	16	-	-	PUNCT
ap-6080	10	17	structure	structure	NOUN
ap-6080	10	18	-	-	PUNCT
ap-6080	10	19	acoustic	acoustic	ADJ
ap-6080	10	20	interaction	interaction	NOUN
ap-6080	10	21	problem	problem	NOUN
ap-6080	10	22	,	,	PUNCT
ap-6080	10	23	where	where	SCONJ
ap-6080	10	24	the	the	DET
ap-6080	10	25	coupling	coupling	NOUN
ap-6080	10	26	between	between	ADP
ap-6080	10	27	fluid	fluid	ADJ
ap-6080	10	28	flow	flow	NOUN
ap-6080	10	29	,	,	PUNCT
ap-6080	10	30	viscoelastic	viscoelastic	ADJ
ap-6080	10	31	tissue	tissue	NOUN
ap-6080	10	32	deformation	deformation	NOUN
ap-6080	10	33	and	and	CCONJ
ap-6080	10	34	acoustics	acoustic	NOUN
ap-6080	10	35	is	be	AUX
ap-6080	10	36	crucial	crucial	ADJ
ap-6080	10	37	,	,	PUNCT
ap-6080	10	38	see	see	VERB
ap-6080	10	39	[	[	X
ap-6080	10	40	1	1	NUM
ap-6080	10	41	]	]	PUNCT
ap-6080	10	42	.	.	PUNCT
ap-6080	11	1	the	the	DET
ap-6080	11	2	so	so	ADV
ap-6080	11	3	-	-	PUNCT
ap-6080	11	4	called	call	VERB
ap-6080	11	5	phonation	phonation	NOUN
ap-6080	11	6	onset	onset	NOUN
ap-6080	11	7	(	(	PUNCT
ap-6080	11	8	flutter	flutter	NOUN
ap-6080	11	9	instability	instability	NOUN
ap-6080	11	10	)	)	PUNCT
ap-6080	11	11	for	for	ADP
ap-6080	11	12	a	a	DET
ap-6080	11	13	certain	certain	ADJ
ap-6080	11	14	airflow	airflow	NOUN
ap-6080	11	15	rate	rate	NOUN
ap-6080	11	16	with	with	ADP
ap-6080	11	17	a	a	DET
ap-6080	11	18	certain	certain	ADJ
ap-6080	11	19	prephonatory	prephonatory	ADJ
ap-6080	11	20	position	position	NOUN
ap-6080	11	21	leads	lead	VERB
ap-6080	11	22	to	to	ADP
ap-6080	11	23	the	the	DET
ap-6080	11	24	vocal	vocal	ADJ
ap-6080	11	25	folds	fold	NOUN
ap-6080	11	26	oscillation	oscillation	NOUN
ap-6080	11	27	.	.	PUNCT
ap-6080	12	1	the	the	DET
ap-6080	12	2	important	important	ADJ
ap-6080	12	3	aspect	aspect	NOUN
ap-6080	12	4	of	of	ADP
ap-6080	12	5	the	the	DET
ap-6080	12	6	phenomena	phenomena	NOUN
ap-6080	12	7	is	be	AUX
ap-6080	12	8	the	the	DET
ap-6080	12	9	glottis	glottis	NOUN
ap-6080	12	10	closure	closure	NOUN
ap-6080	12	11	(	(	PUNCT
ap-6080	12	12	glottis	glottis	NOUN
ap-6080	12	13	is	be	AUX
ap-6080	12	14	the	the	DET
ap-6080	12	15	narrowest	narrow	ADJ
ap-6080	12	16	part	part	NOUN
ap-6080	12	17	between	between	ADP
ap-6080	12	18	the	the	DET
ap-6080	12	19	vibrating	vibrate	VERB
ap-6080	12	20	vocal	vocal	ADJ
ap-6080	12	21	folds	fold	NOUN
ap-6080	12	22	)	)	PUNCT
ap-6080	12	23	.	.	PUNCT
ap-6080	13	1	the	the	DET
ap-6080	13	2	considered	consider	VERB
ap-6080	13	3	problem	problem	NOUN
ap-6080	13	4	can	can	AUX
ap-6080	13	5	be	be	AUX
ap-6080	13	6	mathematically	mathematically	ADV
ap-6080	13	7	described	describe	VERB
ap-6080	13	8	as	as	ADP
ap-6080	13	9	a	a	DET
ap-6080	13	10	problem	problem	NOUN
ap-6080	13	11	of	of	ADP
ap-6080	13	12	fluid	fluid	ADJ
ap-6080	13	13	-	-	PUNCT
ap-6080	13	14	structure	structure	NOUN
ap-6080	13	15	interaction	interaction	NOUN
ap-6080	13	16	with	with	ADP
ap-6080	13	17	the	the	DET
ap-6080	13	18	involvement	involvement	NOUN
ap-6080	13	19	of	of	ADP
ap-6080	13	20	the	the	DET
ap-6080	13	21	(	(	PUNCT
ap-6080	13	22	periodical	periodical	ADJ
ap-6080	13	23	)	)	PUNCT
ap-6080	13	24	contact	contact	NOUN
ap-6080	13	25	problem	problem	NOUN
ap-6080	13	26	of	of	ADP
ap-6080	13	27	the	the	DET
ap-6080	13	28	vocal	vocal	ADJ
ap-6080	13	29	folds	fold	NOUN
ap-6080	13	30	.	.	PUNCT
ap-6080	14	1	in	in	ADP
ap-6080	14	2	order	order	NOUN
ap-6080	14	3	to	to	PART
ap-6080	14	4	include	include	VERB
ap-6080	14	5	the	the	DET
ap-6080	14	6	interactions	interaction	NOUN
ap-6080	14	7	of	of	ADP
ap-6080	14	8	the	the	DET
ap-6080	14	9	fluid	fluid	ADJ
ap-6080	14	10	flow	flow	NOUN
ap-6080	14	11	with	with	ADP
ap-6080	14	12	solid	solid	ADJ
ap-6080	14	13	body	body	NOUN
ap-6080	14	14	deformation	deformation	NOUN
ap-6080	14	15	an	an	DET
ap-6080	14	16	the	the	DET
ap-6080	14	17	contact	contact	NOUN
ap-6080	14	18	problem	problem	NOUN
ap-6080	14	19	,	,	PUNCT
ap-6080	14	20	a	a	DET
ap-6080	14	21	simplified	simplified	ADJ
ap-6080	14	22	model	model	NOUN
ap-6080	14	23	problem	problem	NOUN
ap-6080	14	24	is	be	AUX
ap-6080	14	25	considered	consider	VERB
ap-6080	14	26	.	.	PUNCT
ap-6080	15	1	this	this	DET
ap-6080	15	2	model	model	NOUN
ap-6080	15	3	is	be	AUX
ap-6080	15	4	similar	similar	ADJ
ap-6080	15	5	to	to	ADP
ap-6080	15	6	the	the	DET
ap-6080	15	7	simplified	simplified	ADJ
ap-6080	15	8	two	two	NUM
ap-6080	15	9	mass	mass	ADJ
ap-6080	15	10	model	model	NOUN
ap-6080	15	11	of	of	ADP
ap-6080	15	12	the	the	DET
ap-6080	15	13	vocal	vocal	ADJ
ap-6080	15	14	folds	fold	NOUN
ap-6080	15	15	of	of	ADP
ap-6080	15	16	[	[	X
ap-6080	15	17	2	2	NUM
ap-6080	15	18	]	]	PUNCT
ap-6080	15	19	,	,	PUNCT
ap-6080	15	20	see	see	VERB
ap-6080	15	21	also	also	ADV
ap-6080	15	22	the	the	DET
ap-6080	15	23	aeroelastic	aeroelastic	ADJ
ap-6080	15	24	model	model	NOUN
ap-6080	15	25	in	in	ADP
ap-6080	15	26	[	[	X
ap-6080	15	27	3	3	NUM
ap-6080	15	28	]	]	PUNCT
ap-6080	15	29	.	.	PUNCT
ap-6080	16	1	in	in	ADP
ap-6080	16	2	this	this	DET
ap-6080	16	3	paper	paper	NOUN
ap-6080	16	4	the	the	DET
ap-6080	16	5	mathematical	mathematical	ADJ
ap-6080	16	6	model	model	NOUN
ap-6080	16	7	is	be	AUX
ap-6080	16	8	introduced	introduce	VERB
ap-6080	16	9	and	and	CCONJ
ap-6080	16	10	the	the	DET
ap-6080	16	11	numerical	numerical	ADJ
ap-6080	16	12	approximation	approximation	NOUN
ap-6080	16	13	of	of	ADP
ap-6080	16	14	the	the	DET
ap-6080	16	15	problem	problem	NOUN
ap-6080	16	16	is	be	AUX
ap-6080	16	17	described	describe	VERB
ap-6080	16	18	,	,	PUNCT
ap-6080	16	19	where	where	SCONJ
ap-6080	16	20	the	the	DET
ap-6080	16	21	residual	residual	ADJ
ap-6080	16	22	based	base	VERB
ap-6080	16	23	stabilization	stabilization	NOUN
ap-6080	16	24	is	be	AUX
ap-6080	16	25	used	use	VERB
ap-6080	16	26	for	for	ADP
ap-6080	16	27	the	the	DET
ap-6080	16	28	incompressible	incompressible	ADJ
ap-6080	16	29	flow	flow	NOUN
ap-6080	16	30	model	model	NOUN
ap-6080	16	31	.	.	PUNCT
ap-6080	17	1	the	the	DET
ap-6080	17	2	simplified	simplified	ADJ
ap-6080	17	3	lumped	lump	VERB
ap-6080	17	4	vocal	vocal	ADJ
ap-6080	17	5	fold	fold	ADJ
ap-6080	17	6	model	model	NOUN
ap-6080	17	7	is	be	AUX
ap-6080	17	8	considered	consider	VERB
ap-6080	17	9	,	,	PUNCT
ap-6080	17	10	where	where	SCONJ
ap-6080	17	11	the	the	DET
ap-6080	17	12	contact	contact	NOUN
ap-6080	17	13	is	be	AUX
ap-6080	17	14	treated	treat	VERB
ap-6080	17	15	with	with	ADP
ap-6080	17	16	the	the	DET
ap-6080	17	17	aid	aid	NOUN
ap-6080	17	18	of	of	ADP
ap-6080	17	19	the	the	DET
ap-6080	17	20	hertz	hertz	NOUN
ap-6080	17	21	impact	impact	NOUN
ap-6080	17	22	forces	force	NOUN
ap-6080	17	23	.	.	PUNCT
ap-6080	18	1	in	in	ADP
ap-6080	18	2	the	the	DET
ap-6080	18	3	flow	flow	NOUN
ap-6080	18	4	model	model	NOUN
ap-6080	18	5	,	,	PUNCT
ap-6080	18	6	the	the	DET
ap-6080	18	7	contact	contact	NOUN
ap-6080	18	8	is	be	AUX
ap-6080	18	9	considered	consider	VERB
ap-6080	18	10	with	with	ADP
ap-6080	18	11	the	the	DET
ap-6080	18	12	combination	combination	NOUN
ap-6080	18	13	of	of	ADP
ap-6080	18	14	a	a	DET
ap-6080	18	15	suitable	suitable	ADJ
ap-6080	18	16	modification	modification	NOUN
ap-6080	18	17	of	of	ADP
ap-6080	18	18	the	the	DET
ap-6080	18	19	inlet	inlet	ADJ
ap-6080	18	20	boundary	boundary	ADJ
ap-6080	18	21	condition	condition	NOUN
ap-6080	18	22	and	and	CCONJ
ap-6080	18	23	the	the	DET
ap-6080	18	24	concept	concept	NOUN
ap-6080	18	25	of	of	ADP
ap-6080	18	26	a	a	DET
ap-6080	18	27	fictitious	fictitious	ADJ
ap-6080	18	28	porous	porous	ADJ
ap-6080	18	29	media	medium	NOUN
ap-6080	18	30	flow	flow	NOUN
ap-6080	18	31	.	.	PUNCT
ap-6080	19	1	attention	attention	NOUN
ap-6080	19	2	is	be	AUX
ap-6080	19	3	paid	pay	VERB
ap-6080	19	4	to	to	ADP
ap-6080	19	5	the	the	DET
ap-6080	19	6	details	detail	NOUN
ap-6080	19	7	of	of	ADP
ap-6080	19	8	the	the	DET
ap-6080	19	9	finite	finite	ADJ
ap-6080	19	10	element	element	NOUN
ap-6080	19	11	approximations	approximation	NOUN
ap-6080	19	12	with	with	ADP
ap-6080	19	13	the	the	DET
ap-6080	19	14	aid	aid	NOUN
ap-6080	19	15	of	of	ADP
ap-6080	19	16	the	the	DET
ap-6080	19	17	ale	ale	NOUN
ap-6080	19	18	conservative	conservative	ADJ
ap-6080	19	19	method	method	NOUN
ap-6080	19	20	.	.	PUNCT
ap-6080	20	1	the	the	DET
ap-6080	20	2	solution	solution	NOUN
ap-6080	20	3	of	of	ADP
ap-6080	20	4	the	the	DET
ap-6080	20	5	system	system	NOUN
ap-6080	20	6	of	of	ADP
ap-6080	20	7	equations	equation	NOUN
ap-6080	20	8	is	be	AUX
ap-6080	20	9	discussed	discuss	VERB
ap-6080	20	10	,	,	PUNCT
ap-6080	20	11	with	with	ADP
ap-6080	20	12	attention	attention	NOUN
ap-6080	20	13	on	on	ADP
ap-6080	20	14	the	the	DET
ap-6080	20	15	projection	projection	NOUN
ap-6080	20	16	method	method	NOUN
ap-6080	20	17	and	and	CCONJ
ap-6080	20	18	on	on	ADP
ap-6080	20	19	the	the	DET
ap-6080	20	20	discrete	discrete	ADJ
ap-6080	20	21	projection	projection	NOUN
ap-6080	20	22	method	method	NOUN
ap-6080	20	23	.	.	PUNCT
ap-6080	21	1	numerical	numerical	ADJ
ap-6080	21	2	tests	test	NOUN
ap-6080	21	3	are	be	AUX
ap-6080	21	4	presented	present	VERB
ap-6080	21	5	.	.	PUNCT
ap-6080	22	1	2	2	X
ap-6080	22	2	.	.	X
ap-6080	22	3	mathematical	mathematical	ADJ
ap-6080	22	4	model	model	NOUN
ap-6080	22	5	in	in	ADP
ap-6080	22	6	this	this	DET
ap-6080	22	7	section	section	NOUN
ap-6080	22	8	a	a	DET
ap-6080	22	9	simplified	simplified	ADJ
ap-6080	22	10	model	model	NOUN
ap-6080	22	11	fluid	fluid	NOUN
ap-6080	22	12	-	-	PUNCT
ap-6080	22	13	structure	structure	NOUN
ap-6080	22	14	problem	problem	NOUN
ap-6080	22	15	is	be	AUX
ap-6080	22	16	considered	consider	VERB
ap-6080	22	17	.	.	PUNCT
ap-6080	23	1	the	the	DET
ap-6080	23	2	domain	domain	NOUN
ap-6080	23	3	occupied	occupy	VERB
ap-6080	23	4	by	by	ADP
ap-6080	23	5	fluid	fluid	ADJ
ap-6080	23	6	ωt	ωt	PROPN
ap-6080	23	7	is	be	AUX
ap-6080	23	8	shown	show	VERB
ap-6080	23	9	in	in	ADP
ap-6080	23	10	figure	figure	NOUN
ap-6080	23	11	1	1	NUM
ap-6080	23	12	.	.	PUNCT
ap-6080	24	1	the	the	DET
ap-6080	24	2	fluid	fluid	ADJ
ap-6080	24	3	flow	flow	NOUN
ap-6080	24	4	is	be	AUX
ap-6080	24	5	coupled	couple	VERB
ap-6080	24	6	with	with	ADP
ap-6080	24	7	the	the	DET
ap-6080	24	8	elastic	elastic	ADJ
ap-6080	24	9	structure	structure	NOUN
ap-6080	24	10	deformation	deformation	NOUN
ap-6080	24	11	of	of	ADP
ap-6080	24	12	a	a	DET
ap-6080	24	13	simplified	simplified	ADJ
ap-6080	24	14	two	two	NUM
ap-6080	24	15	degrees	degree	NOUN
ap-6080	24	16	of	of	ADP
ap-6080	24	17	freedom	freedom	NOUN
ap-6080	24	18	model	model	NOUN
ap-6080	24	19	of	of	ADP
ap-6080	24	20	a	a	DET
ap-6080	24	21	vocal	vocal	ADJ
ap-6080	24	22	fold	fold	NOUN
ap-6080	24	23	.	.	PUNCT
ap-6080	25	1	2.1	2.1	NUM
ap-6080	25	2	.	.	PUNCT
ap-6080	26	1	flow	flow	NOUN
ap-6080	26	2	problem	problem	NOUN
ap-6080	26	3	first	first	ADV
ap-6080	26	4	,	,	PUNCT
ap-6080	26	5	the	the	DET
ap-6080	26	6	air	air	NOUN
ap-6080	26	7	flow	flow	NOUN
ap-6080	26	8	is	be	AUX
ap-6080	26	9	modelled	model	VERB
ap-6080	26	10	by	by	ADP
ap-6080	26	11	the	the	DET
ap-6080	26	12	system	system	NOUN
ap-6080	26	13	of	of	ADP
ap-6080	26	14	the	the	DET
ap-6080	26	15	navier	navier	NOUN
ap-6080	26	16	-	-	PUNCT
ap-6080	26	17	stokes	stoke	NOUN
ap-6080	26	18	equations	equation	NOUN
ap-6080	26	19	(	(	PUNCT
ap-6080	26	20	cf	cf	NOUN
ap-6080	26	21	.	.	PUNCT
ap-6080	27	1	[	[	X
ap-6080	27	2	4	4	NUM
ap-6080	27	3	]	]	PUNCT
ap-6080	27	4	)	)	PUNCT
ap-6080	27	5	written	write	VERB
ap-6080	27	6	in	in	ADP
ap-6080	27	7	the	the	DET
ap-6080	27	8	ale	ale	NOUN
ap-6080	27	9	conservative	conservative	ADJ
ap-6080	27	10	form	form	NOUN
ap-6080	27	11	(	(	PUNCT
ap-6080	27	12	cf	cf	NOUN
ap-6080	27	13	.	.	PUNCT
ap-6080	28	1	[	[	X
ap-6080	28	2	5	5	NUM
ap-6080	28	3	]	]	SYM
ap-6080	28	4	)	)	PUNCT
ap-6080	28	5	1	1	NUM
ap-6080	28	6	ja	ja	PROPN
ap-6080	28	7	da(jaρu	da(jaρu	PROPN
ap-6080	28	8	)	)	PUNCT
ap-6080	28	9	dt	dt	NOUN
ap-6080	29	1	+	+	CCONJ
ap-6080	29	2	ρ∇	ρ∇	PROPN
ap-6080	29	3	·	·	PUNCT
ap-6080	29	4	(	(	PUNCT
ap-6080	29	5	(	(	PUNCT
ap-6080	29	6	u−wd)⊗	u−wd)⊗	INTJ
ap-6080	29	7	u	u	NOUN
ap-6080	29	8	)	)	PUNCT
ap-6080	29	9	=	=	PUNCT
ap-6080	29	10	div	div	X
ap-6080	29	11	τ	τ	PROPN
ap-6080	29	12	f	f	PROPN
ap-6080	29	13	,	,	PUNCT
ap-6080	29	14	∇	∇	X
ap-6080	29	15	·	·	PUNCT
ap-6080	29	16	u	u	NOUN
ap-6080	29	17	=	=	NOUN
ap-6080	29	18	0	0	NUM
ap-6080	29	19	,	,	PUNCT
ap-6080	29	20	(	(	PUNCT
ap-6080	29	21	1	1	X
ap-6080	29	22	)	)	PUNCT
ap-6080	29	23	where	where	SCONJ
ap-6080	29	24	u	u	NOUN
ap-6080	29	25	=	=	SYM
ap-6080	29	26	(	(	PUNCT
ap-6080	29	27	v1	v1	PROPN
ap-6080	29	28	,	,	PUNCT
ap-6080	29	29	v2	v2	PROPN
ap-6080	29	30	)	)	PUNCT
ap-6080	29	31	is	be	AUX
ap-6080	29	32	the	the	DET
ap-6080	29	33	fluid	fluid	ADJ
ap-6080	29	34	velocity	velocity	NOUN
ap-6080	29	35	vector	vector	NOUN
ap-6080	29	36	,	,	PUNCT
ap-6080	29	37	ρ	ρ	PROPN
ap-6080	29	38	is	be	AUX
ap-6080	29	39	the	the	DET
ap-6080	29	40	constant	constant	ADJ
ap-6080	29	41	fluid	fluid	ADJ
ap-6080	29	42	density	density	NOUN
ap-6080	29	43	,	,	PUNCT
ap-6080	29	44	τ	τ	PROPN
ap-6080	29	45	f	f	PROPN
ap-6080	29	46	=	=	PUNCT
ap-6080	29	47	(	(	PUNCT
ap-6080	29	48	τfij	τfij	ADJ
ap-6080	29	49	)	)	PUNCT
ap-6080	29	50	is	be	AUX
ap-6080	29	51	the	the	DET
ap-6080	29	52	fluid	fluid	ADJ
ap-6080	29	53	stress	stress	NOUN
ap-6080	29	54	tensor	tensor	NOUN
ap-6080	29	55	given	give	VERB
ap-6080	29	56	by	by	ADP
ap-6080	29	57	τ	τ	PROPN
ap-6080	29	58	f	f	PROPN
ap-6080	29	59	=	=	SYM
ap-6080	29	60	−pi+2µd	−pi+2µd	PROPN
ap-6080	29	61	,	,	PUNCT
ap-6080	29	62	the	the	DET
ap-6080	29	63	symmetric	symmetric	ADJ
ap-6080	29	64	gradient	gradient	NOUN
ap-6080	29	65	tensor	tensor	NOUN
ap-6080	29	66	d	d	PROPN
ap-6080	29	67	=	=	PUNCT
ap-6080	29	68	(	(	PUNCT
ap-6080	29	69	dij	dij	PROPN
ap-6080	29	70	)	)	PUNCT
ap-6080	29	71	is	be	AUX
ap-6080	29	72	given	give	VERB
ap-6080	29	73	by	by	ADP
ap-6080	29	74	d(u	d(u	PROPN
ap-6080	29	75	)	)	PUNCT
ap-6080	29	76	=	=	SYM
ap-6080	29	77	1	1	NUM
ap-6080	29	78	2	2	NUM
ap-6080	29	79	(	(	PUNCT
ap-6080	29	80	∇u+∇tu	∇u+∇tu	NOUN
ap-6080	29	81	)	)	PUNCT
ap-6080	29	82	,	,	PUNCT
ap-6080	29	83	p	p	NOUN
ap-6080	29	84	denotes	denote	VERB
ap-6080	29	85	the	the	DET
ap-6080	29	86	pressure	pressure	NOUN
ap-6080	29	87	and	and	CCONJ
ap-6080	29	88	µ	µ	X
ap-6080	29	89	>	>	X
ap-6080	29	90	0	0	NUM
ap-6080	29	91	is	be	AUX
ap-6080	29	92	the	the	DET
ap-6080	29	93	constant	constant	ADJ
ap-6080	29	94	fluid	fluid	ADJ
ap-6080	29	95	viscosity	viscosity	NOUN
ap-6080	29	96	.	.	PUNCT
ap-6080	30	1	further	far	ADV
ap-6080	30	2	,	,	PUNCT
ap-6080	30	3	by	by	ADP
ap-6080	30	4	at	at	ADP
ap-6080	30	5	the	the	DET
ap-6080	30	6	arbitrary	arbitrary	ADJ
ap-6080	30	7	lagrangianeulerian	lagrangianeulerian	ADJ
ap-6080	30	8	mapping	mapping	NOUN
ap-6080	30	9	is	be	AUX
ap-6080	30	10	denoted	denote	VERB
ap-6080	30	11	which	which	PRON
ap-6080	30	12	maps	map	VERB
ap-6080	30	13	at	at	ADP
ap-6080	30	14	any	any	DET
ap-6080	30	15	time	time	NOUN
ap-6080	30	16	t	t	X
ap-6080	30	17	∈	∈	PROPN
ap-6080	31	1	[	[	X
ap-6080	31	2	0	0	NUM
ap-6080	31	3	,	,	PUNCT
ap-6080	31	4	t	t	X
ap-6080	31	5	]	]	PUNCT
ap-6080	31	6	the	the	DET
ap-6080	31	7	reference	reference	NOUN
ap-6080	31	8	configuration	configuration	NOUN
ap-6080	31	9	ωref	ωref	NOUN
ap-6080	31	10	=	=	PUNCT
ap-6080	31	11	ω0	ω0	ADV
ap-6080	31	12	onto	onto	ADP
ap-6080	31	13	the	the	DET
ap-6080	31	14	current	current	ADJ
ap-6080	31	15	configuration	configuration	NOUN
ap-6080	31	16	ωt	ωt	PROPN
ap-6080	31	17	,	,	PUNCT
ap-6080	31	18	by	by	ADP
ap-6080	31	19	ja	ja	PROPN
ap-6080	31	20	the	the	DET
ap-6080	31	21	jacobian	jacobian	NOUN
ap-6080	31	22	of	of	ADP
ap-6080	31	23	this	this	DET
ap-6080	31	24	mapping	mapping	NOUN
ap-6080	31	25	is	be	AUX
ap-6080	31	26	denoted	denote	VERB
ap-6080	31	27	,	,	PUNCT
ap-6080	31	28	wd	wd	PROPN
ap-6080	31	29	denotes	denote	VERB
ap-6080	31	30	the	the	DET
ap-6080	31	31	domain	domain	NOUN
ap-6080	31	32	velocity	velocity	NOUN
ap-6080	31	33	,	,	PUNCT
ap-6080	31	34	and	and	CCONJ
ap-6080	31	35	dau	dau	NOUN
ap-6080	31	36	dt	dt	X
ap-6080	31	37	is	be	AUX
ap-6080	31	38	the	the	DET
ap-6080	31	39	ale	ale	NOUN
ap-6080	31	40	derivative	derivative	NOUN
ap-6080	31	41	,	,	PUNCT
ap-6080	31	42	i.e.	i.e.	X
ap-6080	31	43	the	the	DET
ap-6080	31	44	derivative	derivative	NOUN
ap-6080	31	45	with	with	ADP
ap-6080	31	46	respect	respect	NOUN
ap-6080	31	47	to	to	ADP
ap-6080	31	48	the	the	DET
ap-6080	31	49	reference	reference	NOUN
ap-6080	31	50	configuration	configuration	NOUN
ap-6080	31	51	ωref	ωref	NOUN
ap-6080	31	52	.	.	PUNCT
ap-6080	32	1	for	for	ADP
ap-6080	32	2	the	the	DET
ap-6080	32	3	system	system	NOUN
ap-6080	32	4	(	(	PUNCT
ap-6080	32	5	1	1	X
ap-6080	32	6	)	)	PUNCT
ap-6080	32	7	the	the	DET
ap-6080	32	8	initial	initial	ADJ
ap-6080	32	9	and	and	CCONJ
ap-6080	32	10	boundary	boundary	ADJ
ap-6080	32	11	conditions	condition	NOUN
ap-6080	32	12	are	be	AUX
ap-6080	32	13	prescribed	prescribe	VERB
ap-6080	32	14	.	.	PUNCT
ap-6080	33	1	the	the	DET
ap-6080	33	2	boundary	boundary	ADJ
ap-6080	33	3	conditions	condition	NOUN
ap-6080	33	4	are	be	AUX
ap-6080	33	5	prescribed	prescribe	VERB
ap-6080	33	6	on	on	ADP
ap-6080	33	7	the	the	DET
ap-6080	33	8	boundary	boundary	ADJ
ap-6080	33	9	∂ωf	∂ωf	PROPN
ap-6080	33	10	t	t	PROPN
ap-6080	33	11	of	of	ADP
ap-6080	33	12	the	the	DET
ap-6080	33	13	computational	computational	ADJ
ap-6080	33	14	domain	domain	NOUN
ap-6080	33	15	formed	form	VERB
ap-6080	33	16	by	by	ADP
ap-6080	33	17	mutually	mutually	ADV
ap-6080	33	18	disjoint	disjoint	ADJ
ap-6080	33	19	parts	part	NOUN
ap-6080	33	20	∂ωf	∂ωf	PROPN
ap-6080	33	21	t	t	NOUN
ap-6080	33	22	=	=	SYM
ap-6080	33	23	γi	γi	NOUN
ap-6080	33	24	∪	∪	ADJ
ap-6080	33	25	γs	γs	X
ap-6080	33	26	∪	∪	ADJ
ap-6080	33	27	γo	γo	ADP
ap-6080	33	28	∪	∪	PROPN
ap-6080	33	29	γwt	γwt	NOUN
ap-6080	33	30	,	,	PUNCT
ap-6080	33	31	where	where	SCONJ
ap-6080	33	32	γi	γi	PROPN
ap-6080	33	33	denotes	denote	VERB
ap-6080	33	34	the	the	DET
ap-6080	33	35	inlet	inlet	NOUN
ap-6080	33	36	,	,	PUNCT
ap-6080	33	37	γo	γo	ADP
ap-6080	33	38	the	the	DET
ap-6080	33	39	outlet	outlet	NOUN
ap-6080	33	40	,	,	PUNCT
ap-6080	33	41	γs	γ	VERB
ap-6080	33	42	the	the	DET
ap-6080	33	43	axis	axis	NOUN
ap-6080	33	44	of	of	ADP
ap-6080	33	45	symmetry	symmetry	NOUN
ap-6080	33	46	and	and	CCONJ
ap-6080	33	47	γwt	γwt	NOUN
ap-6080	33	48	denotes	denote	NOUN
ap-6080	33	49	either	either	CCONJ
ap-6080	33	50	the	the	DET
ap-6080	33	51	fixed	fix	VERB
ap-6080	33	52	or	or	CCONJ
ap-6080	33	53	the	the	DET
ap-6080	33	54	deformable	deformable	ADJ
ap-6080	33	55	wall	wall	NOUN
ap-6080	33	56	.	.	PUNCT
ap-6080	34	1	the	the	DET
ap-6080	34	2	standard	standard	ADJ
ap-6080	34	3	boundary	boundary	ADJ
ap-6080	34	4	conditions	condition	NOUN
ap-6080	34	5	are	be	AUX
ap-6080	34	6	prescribed	prescribe	VERB
ap-6080	34	7	at	at	ADP
ap-6080	34	8	155	155	NUM
ap-6080	34	9	https://doi.org/10.14311/ap.2021.61.0155	https://doi.org/10.14311/ap.2021.61.0155	PROPN
ap-6080	34	10	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-6080	34	11	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-6080	34	12	petr	petr	PROPN
ap-6080	34	13	sváček	sváček	PROPN
ap-6080	34	14	acta	acta	PROPN
ap-6080	34	15	polytechnica	polytechnica	PROPN
ap-6080	34	16	0	0	NUM
ap-6080	35	1	l	l	NOUN
ap-6080	35	2	l	l	NOUN
ap-6080	35	3	l	l	NOUN
ap-6080	35	4	2	2	X
ap-6080	36	1	i	i	PRON
ap-6080	36	2	o	o	VERB
ap-6080	36	3	g	g	PROPN
ap-6080	36	4	(	(	PUNCT
ap-6080	36	5	t	t	PROPN
ap-6080	36	6	)	)	PUNCT
ap-6080	36	7	γ	γ	PROPN
ap-6080	36	8	γγ	γγ	PROPN
ap-6080	36	9	ω	ω	PROPN
ap-6080	36	10	wt	wt	PROPN
ap-6080	36	11	t	t	PROPN
ap-6080	36	12	figure	figure	NOUN
ap-6080	36	13	1	1	NUM
ap-6080	36	14	.	.	PUNCT
ap-6080	37	1	the	the	DET
ap-6080	37	2	computational	computational	ADJ
ap-6080	37	3	domain	domain	NOUN
ap-6080	37	4	ωt	ωt	ADP
ap-6080	37	5	with	with	ADP
ap-6080	37	6	specification	specification	NOUN
ap-6080	37	7	of	of	ADP
ap-6080	37	8	the	the	DET
ap-6080	37	9	boundary	boundary	ADJ
ap-6080	37	10	parts	part	NOUN
ap-6080	37	11	.	.	PUNCT
ap-6080	37	12	3	3	NUM
ap-6080	37	13	2	2	NUM
ap-6080	37	14	1	1	NUM
ap-6080	37	15	1	1	NUM
ap-6080	37	16	w	w	PROPN
ap-6080	37	17	2	2	NUM
ap-6080	37	18	w	w	NOUN
ap-6080	37	19	1	1	NUM
ap-6080	37	20	2	2	NUM
ap-6080	37	21	2	2	NUM
ap-6080	37	22	1	1	NUM
ap-6080	37	23	k	k	NOUN
ap-6080	37	24	k	k	NOUN
ap-6080	37	25	m	m	VERB
ap-6080	37	26	f	f	NOUN
ap-6080	37	27	m	m	VERB
ap-6080	37	28	m	m	VERB
ap-6080	37	29	f	f	NOUN
ap-6080	37	30	cog	cog	PROPN
ap-6080	37	31	figure	figure	NOUN
ap-6080	37	32	2	2	NUM
ap-6080	37	33	.	.	X
ap-6080	37	34	two	two	NUM
ap-6080	37	35	degrees	degree	NOUN
ap-6080	37	36	of	of	ADP
ap-6080	37	37	freedom	freedom	NOUN
ap-6080	37	38	model	model	NOUN
ap-6080	37	39	(	(	PUNCT
ap-6080	37	40	with	with	ADP
ap-6080	37	41	masses	masse	NOUN
ap-6080	37	42	m1	m1	NOUN
ap-6080	37	43	,	,	PUNCT
ap-6080	37	44	m2	m2	PROPN
ap-6080	37	45	,	,	PUNCT
ap-6080	37	46	m3	m3	PROPN
ap-6080	37	47	)	)	PUNCT
ap-6080	37	48	in	in	ADP
ap-6080	37	49	displaced	displace	VERB
ap-6080	37	50	position	position	NOUN
ap-6080	37	51	(	(	PUNCT
ap-6080	37	52	displacements	displacement	NOUN
ap-6080	37	53	w1	w1	NOUN
ap-6080	37	54	and	and	CCONJ
ap-6080	37	55	w2	w2	NOUN
ap-6080	37	56	)	)	PUNCT
ap-6080	37	57	the	the	DET
ap-6080	37	58	acting	act	VERB
ap-6080	37	59	aerodynamic	aerodynamic	ADJ
ap-6080	37	60	forces	force	NOUN
ap-6080	37	61	f1	f1	NOUN
ap-6080	37	62	and	and	CCONJ
ap-6080	37	63	f2	f2	PROPN
ap-6080	37	64	are	be	AUX
ap-6080	37	65	shown	show	VERB
ap-6080	37	66	.	.	PUNCT
ap-6080	38	1	γt	γt	NOUN
ap-6080	38	2	=	=	PROPN
ap-6080	38	3	γwt	γwt	PROPN
ap-6080	38	4	∪γwf	∪γwf	PROPN
ap-6080	38	5	formed	form	VERB
ap-6080	38	6	of	of	ADP
ap-6080	38	7	the	the	DET
ap-6080	38	8	fixed	fix	VERB
ap-6080	38	9	wall	wall	PROPN
ap-6080	38	10	γwf	γwf	PROPN
ap-6080	38	11	(	(	PUNCT
ap-6080	38	12	where	where	SCONJ
ap-6080	38	13	wd	wd	PROPN
ap-6080	38	14	=	=	SYM
ap-6080	38	15	0	0	NUM
ap-6080	38	16	)	)	PUNCT
ap-6080	38	17	or	or	CCONJ
ap-6080	38	18	the	the	DET
ap-6080	38	19	moving	move	VERB
ap-6080	38	20	wall	wall	NOUN
ap-6080	38	21	γwt	γwt	NOUN
ap-6080	38	22	i.e.	i.e.	X
ap-6080	38	23	the	the	DET
ap-6080	38	24	surface	surface	NOUN
ap-6080	38	25	of	of	ADP
ap-6080	38	26	the	the	DET
ap-6080	38	27	vocal	vocal	ADJ
ap-6080	38	28	fold	fold	ADJ
ap-6080	38	29	model	model	NOUN
ap-6080	38	30	and	and	CCONJ
ap-6080	38	31	at	at	ADP
ap-6080	38	32	the	the	DET
ap-6080	38	33	axis	axis	NOUN
ap-6080	38	34	of	of	ADP
ap-6080	38	35	symmetry	symmetry	NOUN
ap-6080	38	36	γs	γs	X
ap-6080	38	37	a	a	PRON
ap-6080	38	38	)	)	PUNCT
ap-6080	38	39	u	u	NOUN
ap-6080	38	40	=	=	SYM
ap-6080	38	41	wd	wd	PROPN
ap-6080	38	42	on	on	ADP
ap-6080	38	43	γwt	γwt	PROPN
ap-6080	38	44	,	,	PUNCT
ap-6080	38	45	b	b	NOUN
ap-6080	38	46	)	)	PUNCT
ap-6080	38	47	u2	u2	NOUN
ap-6080	38	48	=	=	PUNCT
ap-6080	38	49	0,−τf12	0,−τf12	NOUN
ap-6080	38	50	=	=	SYM
ap-6080	38	51	0	0	NUM
ap-6080	38	52	on	on	ADP
ap-6080	38	53	γs	γs	NOUN
ap-6080	38	54	,	,	PUNCT
ap-6080	38	55	(	(	PUNCT
ap-6080	38	56	2	2	X
ap-6080	38	57	)	)	PUNCT
ap-6080	38	58	as	as	SCONJ
ap-6080	38	59	γs	γs	NUM
ap-6080	38	60	is	be	AUX
ap-6080	38	61	chosen	choose	VERB
ap-6080	38	62	to	to	PART
ap-6080	38	63	be	be	AUX
ap-6080	38	64	located	locate	VERB
ap-6080	38	65	at	at	ADP
ap-6080	38	66	line	line	NOUN
ap-6080	38	67	y	y	PROPN
ap-6080	38	68	=	=	PUNCT
ap-6080	38	69	const	const	X
ap-6080	38	70	(	(	PUNCT
ap-6080	38	71	in	in	ADP
ap-6080	38	72	computations	computation	NOUN
ap-6080	38	73	we	we	PRON
ap-6080	38	74	choose	choose	VERB
ap-6080	38	75	y	y	PROPN
ap-6080	38	76	=	=	PROPN
ap-6080	38	77	0	0	NUM
ap-6080	38	78	)	)	PUNCT
ap-6080	38	79	.	.	PUNCT
ap-6080	39	1	furthermore	furthermore	ADV
ap-6080	39	2	,	,	PUNCT
ap-6080	39	3	at	at	ADP
ap-6080	39	4	the	the	DET
ap-6080	39	5	inlet	inlet	NOUN
ap-6080	39	6	γi	γi	INTJ
ap-6080	39	7	and	and	CCONJ
ap-6080	39	8	at	at	ADP
ap-6080	39	9	the	the	DET
ap-6080	39	10	outlet	outlet	NOUN
ap-6080	39	11	part	part	NOUN
ap-6080	39	12	γo	γo	ADP
ap-6080	39	13	the	the	DET
ap-6080	39	14	boundary	boundary	ADJ
ap-6080	39	15	conditions	condition	NOUN
ap-6080	39	16	are	be	AUX
ap-6080	39	17	formally	formally	ADV
ap-6080	39	18	prescribed	prescribe	VERB
ap-6080	39	19	as	as	ADP
ap-6080	39	20	c	c	NOUN
ap-6080	39	21	)	)	PUNCT
ap-6080	39	22	ρ	ρ	NOUN
ap-6080	39	23	2(u	2(u	NUM
ap-6080	39	24	·	·	PUNCT
ap-6080	39	25	n)−u−	n)−u−	NOUN
ap-6080	39	26	n	n	NOUN
ap-6080	39	27	·	·	PUNCT
ap-6080	39	28	τ	τ	PROPN
ap-6080	39	29	f	f	X
ap-6080	39	30	=	=	SYM
ap-6080	39	31	1	1	NUM
ap-6080	39	32	ε	ε	PROPN
ap-6080	39	33	(	(	PUNCT
ap-6080	39	34	u−	u−	PROPN
ap-6080	39	35	ui	ui	PROPN
ap-6080	39	36	)	)	PUNCT
ap-6080	39	37	on	on	ADP
ap-6080	39	38	γi	γi	X
ap-6080	39	39	,	,	PUNCT
ap-6080	39	40	d	d	X
ap-6080	39	41	)	)	PUNCT
ap-6080	39	42	ρ	ρ	NOUN
ap-6080	39	43	2(u	2(u	NUM
ap-6080	39	44	·	·	PUNCT
ap-6080	39	45	n)−u−	n)−u−	NOUN
ap-6080	39	46	n	n	NOUN
ap-6080	39	47	·	·	PUNCT
ap-6080	39	48	τ	τ	PROPN
ap-6080	39	49	f	f	X
ap-6080	39	50	=	=	PRON
ap-6080	39	51	prefn	prefn	VERB
ap-6080	39	52	on	on	ADP
ap-6080	39	53	γo	γo	NOUN
ap-6080	39	54	,	,	PUNCT
ap-6080	39	55	(	(	PUNCT
ap-6080	39	56	3	3	X
ap-6080	39	57	)	)	PUNCT
ap-6080	39	58	where	where	SCONJ
ap-6080	39	59	n	n	PRON
ap-6080	39	60	denotes	denote	VERB
ap-6080	39	61	the	the	DET
ap-6080	39	62	unit	unit	NOUN
ap-6080	39	63	outward	outward	VERB
ap-6080	39	64	normal	normal	ADJ
ap-6080	39	65	vector	vector	NOUN
ap-6080	39	66	to	to	ADP
ap-6080	39	67	∂ωft	∂ωft	NUM
ap-6080	39	68	,	,	PUNCT
ap-6080	39	69	ui	ui	PROPN
ap-6080	39	70	is	be	AUX
ap-6080	39	71	a	a	DET
ap-6080	39	72	prescribed	prescribe	VERB
ap-6080	39	73	inlet	inlet	NOUN
ap-6080	39	74	velocity	velocity	NOUN
ap-6080	39	75	,	,	PUNCT
ap-6080	39	76	pref	pref	PROPN
ap-6080	39	77	is	be	AUX
ap-6080	39	78	a	a	DET
ap-6080	39	79	reference	reference	NOUN
ap-6080	39	80	pressure	pressure	NOUN
ap-6080	39	81	value	value	NOUN
ap-6080	39	82	(	(	PUNCT
ap-6080	39	83	pref	pref	NOUN
ap-6080	39	84	=	=	SYM
ap-6080	39	85	0	0	NUM
ap-6080	39	86	in	in	ADP
ap-6080	39	87	what	what	PRON
ap-6080	39	88	follows	follow	VERB
ap-6080	39	89	)	)	PUNCT
ap-6080	39	90	,	,	PUNCT
ap-6080	39	91	ε	ε	PROPN
ap-6080	39	92	>	>	X
ap-6080	39	93	0	0	PUNCT
ap-6080	39	94	is	be	AUX
ap-6080	39	95	a	a	DET
ap-6080	39	96	penalization	penalization	NOUN
ap-6080	39	97	parameter	parameter	NOUN
ap-6080	39	98	and	and	CCONJ
ap-6080	39	99	α−	α−	ADP
ap-6080	39	100	denotes	denote	NOUN
ap-6080	39	101	the	the	DET
ap-6080	39	102	negative	negative	ADJ
ap-6080	39	103	part	part	NOUN
ap-6080	39	104	of	of	ADP
ap-6080	39	105	a	a	DET
ap-6080	39	106	real	real	ADJ
ap-6080	39	107	number	number	NOUN
ap-6080	39	108	α	α	NOUN
ap-6080	39	109	.	.	PUNCT
ap-6080	40	1	here	here	ADV
ap-6080	40	2	,	,	PUNCT
ap-6080	40	3	the	the	DET
ap-6080	40	4	boundary	boundary	ADJ
ap-6080	40	5	condition	condition	NOUN
ap-6080	40	6	(	(	PUNCT
ap-6080	40	7	3c	3c	NUM
ap-6080	40	8	)	)	PUNCT
ap-6080	40	9	weakly	weakly	ADV
ap-6080	40	10	imposes	impose	VERB
ap-6080	40	11	the	the	DET
ap-6080	40	12	dirichlet	dirichlet	PROPN
ap-6080	40	13	boundary	boundary	PROPN
ap-6080	40	14	condition	condition	NOUN
ap-6080	40	15	u	u	NOUN
ap-6080	40	16	=	=	PROPN
ap-6080	40	17	ui	ui	PROPN
ap-6080	40	18	with	with	ADP
ap-6080	40	19	the	the	DET
ap-6080	40	20	aid	aid	NOUN
ap-6080	40	21	of	of	ADP
ap-6080	40	22	a	a	DET
ap-6080	40	23	penalization	penalization	NOUN
ap-6080	40	24	parameter	parameter	NOUN
ap-6080	40	25	ε	ε	PROPN
ap-6080	40	26	.	.	PROPN
ap-6080	40	27	2.2	2.2	NUM
ap-6080	40	28	.	.	PUNCT
ap-6080	41	1	structure	structure	NOUN
ap-6080	41	2	model	model	NOUN
ap-6080	41	3	the	the	DET
ap-6080	41	4	motion	motion	NOUN
ap-6080	41	5	of	of	ADP
ap-6080	41	6	the	the	DET
ap-6080	41	7	vocal	vocal	ADJ
ap-6080	41	8	fold	fold	NOUN
ap-6080	41	9	is	be	AUX
ap-6080	41	10	modelled	model	VERB
ap-6080	41	11	as	as	ADP
ap-6080	41	12	a	a	DET
ap-6080	41	13	motion	motion	NOUN
ap-6080	41	14	of	of	ADP
ap-6080	41	15	a	a	DET
ap-6080	41	16	rigid	rigid	ADJ
ap-6080	41	17	body	body	NOUN
ap-6080	41	18	governed	govern	VERB
ap-6080	41	19	by	by	ADP
ap-6080	41	20	the	the	DET
ap-6080	41	21	displacements	displacement	NOUN
ap-6080	41	22	w1(t	w1(t	PUNCT
ap-6080	41	23	)	)	PUNCT
ap-6080	41	24	and	and	CCONJ
ap-6080	41	25	w2(t	w2(t	PROPN
ap-6080	41	26	)	)	PUNCT
ap-6080	41	27	of	of	ADP
ap-6080	41	28	the	the	DET
ap-6080	41	29	two	two	NUM
ap-6080	41	30	masses	masse	NOUN
ap-6080	41	31	m1	m1	PROPN
ap-6080	41	32	and	and	CCONJ
ap-6080	41	33	m2	m2	PROPN
ap-6080	41	34	,	,	PUNCT
ap-6080	41	35	respectively	respectively	ADV
ap-6080	41	36	(	(	PUNCT
ap-6080	41	37	see	see	VERB
ap-6080	41	38	fig	fig	NOUN
ap-6080	41	39	.	.	PUNCT
ap-6080	42	1	2	2	NUM
ap-6080	42	2	)	)	PUNCT
ap-6080	42	3	.	.	PUNCT
ap-6080	43	1	the	the	DET
ap-6080	43	2	equation	equation	NOUN
ap-6080	43	3	of	of	ADP
ap-6080	43	4	motion	motion	NOUN
ap-6080	43	5	(	(	PUNCT
ap-6080	43	6	see	see	VERB
ap-6080	43	7	[	[	X
ap-6080	43	8	3	3	X
ap-6080	43	9	]	]	PUNCT
ap-6080	43	10	for	for	ADP
ap-6080	43	11	details	detail	NOUN
ap-6080	43	12	)	)	PUNCT
ap-6080	43	13	reads	read	VERB
ap-6080	43	14	mẅ	mẅ	PUNCT
ap-6080	43	15	+	+	SYM
ap-6080	43	16	bẇ	bẇ	PUNCT
ap-6080	44	1	+	+	CCONJ
ap-6080	44	2	kw	kw	NOUN
ap-6080	44	3	=	=	SYM
ap-6080	44	4	−f	−f	PROPN
ap-6080	44	5	,	,	PUNCT
ap-6080	44	6	(	(	PUNCT
ap-6080	44	7	4	4	X
ap-6080	44	8	)	)	PUNCT
ap-6080	44	9	where	where	SCONJ
ap-6080	44	10	m	m	NOUN
ap-6080	44	11	is	be	AUX
ap-6080	44	12	the	the	DET
ap-6080	44	13	mass	mass	ADJ
ap-6080	44	14	matrix	matrix	NOUN
ap-6080	44	15	of	of	ADP
ap-6080	44	16	the	the	DET
ap-6080	44	17	system	system	NOUN
ap-6080	44	18	,	,	PUNCT
ap-6080	44	19	k	k	PROPN
ap-6080	44	20	is	be	AUX
ap-6080	44	21	the	the	DET
ap-6080	44	22	diagonal	diagonal	ADJ
ap-6080	44	23	stiffness	stiffness	NOUN
ap-6080	44	24	matrix	matrix	NOUN
ap-6080	44	25	of	of	ADP
ap-6080	44	26	the	the	DET
ap-6080	44	27	system	system	NOUN
ap-6080	44	28	characterized	characterize	VERB
ap-6080	44	29	by	by	ADP
ap-6080	44	30	spring	spring	NOUN
ap-6080	44	31	constants	constant	NOUN
ap-6080	44	32	k1	k1	NOUN
ap-6080	44	33	,	,	PUNCT
ap-6080	44	34	k2	k2	NOUN
ap-6080	44	35	,	,	PUNCT
ap-6080	44	36	and	and	CCONJ
ap-6080	44	37	b	b	X
ap-6080	44	38	=	=	SYM
ap-6080	44	39	ε1m+	ε1m+	PROPN
ap-6080	44	40	ε2k	ε2k	PROPN
ap-6080	44	41	,	,	PUNCT
ap-6080	44	42	is	be	AUX
ap-6080	44	43	the	the	DET
ap-6080	44	44	matrix	matrix	NOUN
ap-6080	44	45	of	of	ADP
ap-6080	44	46	the	the	DET
ap-6080	44	47	proportional	proportional	ADJ
ap-6080	44	48	structural	structural	ADJ
ap-6080	44	49	damping	damping	NOUN
ap-6080	44	50	,	,	PUNCT
ap-6080	44	51	ε1	ε1	PROPN
ap-6080	44	52	,	,	PUNCT
ap-6080	44	53	ε2	ε2	PROPN
ap-6080	44	54	are	be	AUX
ap-6080	44	55	the	the	DET
ap-6080	44	56	constants	constant	NOUN
ap-6080	44	57	of	of	ADP
ap-6080	44	58	the	the	DET
ap-6080	44	59	proportional	proportional	ADJ
ap-6080	44	60	damping	damping	NOUN
ap-6080	44	61	.	.	PUNCT
ap-6080	45	1	the	the	DET
ap-6080	45	2	mass	mass	ADJ
ap-6080	45	3	matrix	matrix	NOUN
ap-6080	45	4	is	be	AUX
ap-6080	45	5	given	give	VERB
ap-6080	45	6	by	by	ADP
ap-6080	45	7	m	m	PROPN
ap-6080	45	8	=	=	PUNCT
ap-6080	45	9	(	(	PUNCT
ap-6080	45	10	m1	m1	PROPN
ap-6080	45	11	+	+	CCONJ
ap-6080	45	12	m3	m3	PROPN
ap-6080	45	13	4	4	NUM
ap-6080	45	14	m3	m3	PROPN
ap-6080	45	15	4	4	NUM
ap-6080	45	16	m3	m3	PROPN
ap-6080	45	17	4	4	NUM
ap-6080	45	18	m2	m2	PROPN
ap-6080	45	19	+	+	CCONJ
ap-6080	45	20	m3	m3	PROPN
ap-6080	45	21	4	4	NUM
ap-6080	45	22	)	)	PUNCT
ap-6080	45	23	,	,	PUNCT
ap-6080	45	24	k	k	X
ap-6080	46	1	=	=	PRON
ap-6080	46	2	(	(	PUNCT
ap-6080	46	3	k1	k1	X
ap-6080	46	4	0	0	NUM
ap-6080	46	5	0	0	NUM
ap-6080	46	6	k2	k2	PROPN
ap-6080	46	7	)	)	PUNCT
ap-6080	46	8	,	,	PUNCT
ap-6080	46	9	(	(	PUNCT
ap-6080	46	10	5	5	X
ap-6080	46	11	)	)	PUNCT
ap-6080	46	12	wherem1,m2,m3	wherem1,m2,m3	NOUN
ap-6080	46	13	are	be	AUX
ap-6080	46	14	the	the	DET
ap-6080	46	15	masses	masse	NOUN
ap-6080	46	16	shown	show	VERB
ap-6080	46	17	in	in	ADP
ap-6080	46	18	fig	fig	NOUN
ap-6080	46	19	.	.	PUNCT
ap-6080	47	1	2	2	X
ap-6080	47	2	.	.	X
ap-6080	47	3	the	the	DET
ap-6080	47	4	components	component	NOUN
ap-6080	47	5	of	of	ADP
ap-6080	47	6	f	f	PROPN
ap-6080	47	7	=	=	PUNCT
ap-6080	47	8	(	(	PUNCT
ap-6080	47	9	f1	f1	PROPN
ap-6080	47	10	,	,	PUNCT
ap-6080	47	11	f2)t	f2)t	PROPN
ap-6080	47	12	are	be	AUX
ap-6080	47	13	the	the	DET
ap-6080	47	14	aerodynamical	aerodynamical	ADJ
ap-6080	47	15	forces	force	NOUN
ap-6080	47	16	(	(	PUNCT
ap-6080	47	17	downward	downward	ADV
ap-6080	47	18	positive	positive	ADJ
ap-6080	47	19	)	)	PUNCT
ap-6080	47	20	acting	act	VERB
ap-6080	47	21	at	at	ADP
ap-6080	47	22	masses	masse	NOUN
ap-6080	47	23	m1	m1	PROPN
ap-6080	47	24	and	and	CCONJ
ap-6080	47	25	m2	m2	PROPN
ap-6080	47	26	,	,	PUNCT
ap-6080	47	27	see	see	VERB
ap-6080	47	28	fig	fig	NOUN
ap-6080	47	29	.	.	PUNCT
ap-6080	48	1	2	2	NUM
ap-6080	48	2	.	.	X
ap-6080	48	3	2.3	2.3	NUM
ap-6080	48	4	.	.	PUNCT
ap-6080	49	1	coupling	couple	VERB
ap-6080	49	2	conditions	condition	NOUN
ap-6080	49	3	the	the	DET
ap-6080	49	4	aerodynamical	aerodynamical	ADJ
ap-6080	49	5	forces	force	NOUN
ap-6080	49	6	f1	f1	NOUN
ap-6080	49	7	,	,	PUNCT
ap-6080	49	8	f2	f2	PROPN
ap-6080	49	9	are	be	AUX
ap-6080	49	10	computed	compute	VERB
ap-6080	49	11	with	with	ADP
ap-6080	49	12	the	the	DET
ap-6080	49	13	aid	aid	NOUN
ap-6080	49	14	of	of	ADP
ap-6080	49	15	the	the	DET
ap-6080	49	16	aerodynamical	aerodynamical	ADJ
ap-6080	49	17	lift	lift	NOUN
ap-6080	49	18	force	force	NOUN
ap-6080	49	19	l(t	l(t	NOUN
ap-6080	49	20	)	)	PUNCT
ap-6080	49	21	and	and	CCONJ
ap-6080	49	22	the	the	DET
ap-6080	49	23	aerodynamical	aerodynamical	ADJ
ap-6080	49	24	torsional	torsional	ADJ
ap-6080	49	25	moment	moment	NOUN
ap-6080	49	26	m(t	m(t	NOUN
ap-6080	49	27	)	)	PUNCT
ap-6080	49	28	acting	act	VERB
ap-6080	49	29	on	on	ADP
ap-6080	49	30	the	the	DET
ap-6080	49	31	surface	surface	NOUN
ap-6080	49	32	of	of	ADP
ap-6080	49	33	the	the	DET
ap-6080	49	34	structure	structure	NOUN
ap-6080	49	35	γwt	γwt	NOUN
ap-6080	49	36	.	.	PUNCT
ap-6080	50	1	the	the	DET
ap-6080	50	2	aerodynamical	aerodynamical	ADJ
ap-6080	50	3	lift	lift	NOUN
ap-6080	50	4	force	force	NOUN
ap-6080	50	5	and	and	CCONJ
ap-6080	50	6	the	the	DET
ap-6080	50	7	aerodynamical	aerodynamical	ADJ
ap-6080	50	8	torsional	torsional	ADJ
ap-6080	50	9	moment	moment	NOUN
ap-6080	50	10	are	be	AUX
ap-6080	50	11	evaluated	evaluate	VERB
ap-6080	50	12	with	with	ADP
ap-6080	50	13	the	the	DET
ap-6080	50	14	aid	aid	NOUN
ap-6080	50	15	of	of	ADP
ap-6080	50	16	the	the	DET
ap-6080	50	17	mean	mean	ADJ
ap-6080	50	18	(	(	PUNCT
ap-6080	50	19	kinematic	kinematic	ADJ
ap-6080	50	20	)	)	PUNCT
ap-6080	50	21	pressure	pressure	NOUN
ap-6080	50	22	p	p	NOUN
ap-6080	50	23	and	and	CCONJ
ap-6080	50	24	the	the	DET
ap-6080	50	25	mean	mean	ADJ
ap-6080	50	26	flow	flow	NOUN
ap-6080	50	27	velocity	velocity	NOUN
ap-6080	50	28	u	u	NOUN
ap-6080	50	29	=	=	PUNCT
ap-6080	50	30	(	(	PUNCT
ap-6080	50	31	u1	u1	PROPN
ap-6080	50	32	,	,	PUNCT
ap-6080	50	33	u2	u2	PROPN
ap-6080	50	34	)	)	PUNCT
ap-6080	50	35	as	as	ADP
ap-6080	50	36	the	the	DET
ap-6080	50	37	integrals	integral	NOUN
ap-6080	50	38	over	over	ADP
ap-6080	50	39	the	the	DET
ap-6080	50	40	surface	surface	NOUN
ap-6080	50	41	of	of	ADP
ap-6080	50	42	the	the	DET
ap-6080	50	43	airfoil	airfoil	NOUN
ap-6080	50	44	l	l	NOUN
ap-6080	51	1	=	=	PUNCT
ap-6080	52	1	−l	−l	ADJ
ap-6080	52	2	∫	∫	PROPN
ap-6080	52	3	γw	γw	PROPN
ap-6080	52	4	t	t	PROPN
ap-6080	52	5	τf2jnj	τf2jnj	PROPN
ap-6080	52	6	ds	ds	PROPN
ap-6080	52	7	,	,	PUNCT
ap-6080	52	8	m	m	NOUN
ap-6080	52	9	=	=	VERB
ap-6080	53	1	l	l	NOUN
ap-6080	53	2	∫	∫	PROPN
ap-6080	53	3	γw	γw	PROPN
ap-6080	53	4	t	t	PROPN
ap-6080	53	5	τfijnjr	τfijnjr	PROPN
ap-6080	53	6	ort	ort	PROPN
ap-6080	53	7	i	i	PRON
ap-6080	53	8	ds	ds	VERB
ap-6080	53	9	,	,	PUNCT
ap-6080	53	10	(	(	PUNCT
ap-6080	53	11	6	6	NUM
ap-6080	53	12	)	)	PUNCT
ap-6080	53	13	where	where	SCONJ
ap-6080	53	14	l	l	NOUN
ap-6080	53	15	denotes	denote	VERB
ap-6080	53	16	the	the	DET
ap-6080	53	17	depth	depth	NOUN
ap-6080	53	18	of	of	ADP
ap-6080	53	19	the	the	DET
ap-6080	53	20	profile	profile	NOUN
ap-6080	53	21	section	section	NOUN
ap-6080	53	22	,	,	PUNCT
ap-6080	53	23	and	and	CCONJ
ap-6080	53	24	the	the	DET
ap-6080	53	25	vector	vector	NOUN
ap-6080	53	26	rort	rort	NOUN
ap-6080	53	27	has	have	AUX
ap-6080	53	28	components	component	NOUN
ap-6080	53	29	rort	rort	VERB
ap-6080	53	30	1	1	NUM
ap-6080	53	31	=	=	SYM
ap-6080	53	32	−(x2	−(x2	NOUN
ap-6080	53	33	−	−	PROPN
ap-6080	53	34	xea	xea	PROPN
ap-6080	53	35	2	2	NUM
ap-6080	53	36	)	)	PUNCT
ap-6080	53	37	,	,	PUNCT
ap-6080	53	38	and	and	CCONJ
ap-6080	53	39	rort	rort	VERB
ap-6080	53	40	2	2	NUM
ap-6080	53	41	=	=	SYM
ap-6080	54	1	x1	x1	NUM
ap-6080	54	2	−	−	NOUN
ap-6080	54	3	xea	xea	PROPN
ap-6080	54	4	1	1	NUM
ap-6080	54	5	,	,	PUNCT
ap-6080	54	6	with	with	ADP
ap-6080	54	7	(	(	PUNCT
ap-6080	54	8	xea	xea	PROPN
ap-6080	54	9	1	1	NUM
ap-6080	54	10	,	,	PUNCT
ap-6080	54	11	xea	xea	PROPN
ap-6080	54	12	2	2	X
ap-6080	54	13	)	)	PUNCT
ap-6080	54	14	being	be	AUX
ap-6080	54	15	the	the	DET
ap-6080	54	16	position	position	NOUN
ap-6080	54	17	of	of	ADP
ap-6080	54	18	the	the	DET
ap-6080	54	19	structure	structure	NOUN
ap-6080	54	20	elastic	elastic	ADJ
ap-6080	54	21	axis	axis	NOUN
ap-6080	54	22	.	.	PUNCT
ap-6080	55	1	the	the	DET
ap-6080	55	2	displacement	displacement	NOUN
ap-6080	55	3	of	of	ADP
ap-6080	55	4	the	the	DET
ap-6080	55	5	structure	structure	NOUN
ap-6080	55	6	surface	surface	NOUN
ap-6080	55	7	γwt	γwt	NOUN
ap-6080	55	8	is	be	AUX
ap-6080	55	9	determined	determine	VERB
ap-6080	55	10	in	in	ADP
ap-6080	55	11	terms	term	NOUN
ap-6080	55	12	of	of	ADP
ap-6080	55	13	w1	w1	NOUN
ap-6080	55	14	,	,	PUNCT
ap-6080	55	15	w2	w2	NOUN
ap-6080	55	16	,	,	PUNCT
ap-6080	55	17	and	and	CCONJ
ap-6080	55	18	it	it	PRON
ap-6080	55	19	is	be	AUX
ap-6080	55	20	used	use	VERB
ap-6080	55	21	as	as	ADP
ap-6080	55	22	the	the	DET
ap-6080	55	23	boundary	boundary	ADJ
ap-6080	55	24	condition	condition	NOUN
ap-6080	55	25	for	for	ADP
ap-6080	55	26	the	the	DET
ap-6080	55	27	displacement	displacement	NOUN
ap-6080	55	28	of	of	ADP
ap-6080	55	29	any	any	DET
ap-6080	55	30	point	point	NOUN
ap-6080	55	31	of	of	ADP
ap-6080	55	32	the	the	DET
ap-6080	55	33	computational	computational	ADJ
ap-6080	55	34	domain	domain	NOUN
ap-6080	55	35	ωref0	ωref0	NOUN
ap-6080	55	36	onto	onto	ADP
ap-6080	55	37	the	the	DET
ap-6080	55	38	domain	domain	NOUN
ap-6080	55	39	ωt	ωt	PROPN
ap-6080	55	40	.	.	PUNCT
ap-6080	56	1	moreover	moreover	ADV
ap-6080	56	2	,	,	PUNCT
ap-6080	56	3	the	the	DET
ap-6080	56	4	domain	domain	NOUN
ap-6080	56	5	velocity	velocity	NOUN
ap-6080	56	6	at	at	ADP
ap-6080	56	7	γwt	γwt	NOUN
ap-6080	56	8	is	be	AUX
ap-6080	56	9	determined	determine	VERB
ap-6080	56	10	using	use	VERB
ap-6080	56	11	the	the	DET
ap-6080	56	12	w1(t	w1(t	PROPN
ap-6080	56	13	)	)	PUNCT
ap-6080	56	14	and	and	CCONJ
ap-6080	56	15	w2(t	w2(t	PROPN
ap-6080	56	16	)	)	PUNCT
ap-6080	56	17	obtained	obtain	VERB
ap-6080	56	18	from	from	ADP
ap-6080	56	19	solution	solution	NOUN
ap-6080	56	20	of	of	ADP
ap-6080	56	21	the	the	DET
ap-6080	56	22	ordinary	ordinary	ADJ
ap-6080	56	23	differential	differential	ADJ
ap-6080	56	24	equations	equation	NOUN
ap-6080	56	25	(	(	PUNCT
ap-6080	56	26	4	4	NUM
ap-6080	56	27	)	)	PUNCT
ap-6080	56	28	.	.	PUNCT
ap-6080	57	1	2.4	2.4	NUM
ap-6080	57	2	.	.	PUNCT
ap-6080	57	3	treatment	treatment	NOUN
ap-6080	57	4	of	of	ADP
ap-6080	57	5	the	the	DET
ap-6080	57	6	contact	contact	NOUN
ap-6080	57	7	problem	problem	NOUN
ap-6080	57	8	in	in	ADP
ap-6080	57	9	order	order	NOUN
ap-6080	57	10	to	to	PART
ap-6080	57	11	close	close	VERB
ap-6080	57	12	of	of	ADP
ap-6080	57	13	the	the	DET
ap-6080	57	14	fluid	fluid	ADJ
ap-6080	57	15	computational	computational	ADJ
ap-6080	57	16	domain	domain	NOUN
ap-6080	57	17	,	,	PUNCT
ap-6080	57	18	the	the	DET
ap-6080	57	19	idea	idea	NOUN
ap-6080	57	20	of	of	ADP
ap-6080	57	21	a	a	DET
ap-6080	57	22	fictitious	fictitious	ADJ
ap-6080	57	23	porous	porous	ADJ
ap-6080	57	24	media	medium	NOUN
ap-6080	57	25	flow	flow	NOUN
ap-6080	57	26	is	be	AUX
ap-6080	57	27	employed	employ	VERB
ap-6080	57	28	.	.	PUNCT
ap-6080	58	1	it	it	PRON
ap-6080	58	2	means	mean	VERB
ap-6080	58	3	that	that	SCONJ
ap-6080	58	4	during	during	ADP
ap-6080	58	5	the	the	DET
ap-6080	58	6	closing	closing	NOUN
ap-6080	58	7	phase	phase	NOUN
ap-6080	58	8	of	of	ADP
ap-6080	58	9	the	the	DET
ap-6080	58	10	vocal	vocal	ADJ
ap-6080	58	11	folds	fold	NOUN
ap-6080	58	12	,	,	PUNCT
ap-6080	58	13	the	the	DET
ap-6080	58	14	part	part	NOUN
ap-6080	58	15	of	of	ADP
ap-6080	58	16	the	the	DET
ap-6080	58	17	structure	structure	NOUN
ap-6080	58	18	domain	domain	NOUN
ap-6080	58	19	(	(	PUNCT
ap-6080	58	20	denoted	denote	VERB
ap-6080	58	21	by	by	ADP
ap-6080	58	22	ωpt	ωpt	PROPN
ap-6080	58	23	)	)	PUNCT
ap-6080	58	24	is	be	AUX
ap-6080	58	25	assumed	assume	VERB
ap-6080	58	26	to	to	PART
ap-6080	58	27	be	be	AUX
ap-6080	58	28	a	a	DET
ap-6080	58	29	domain	domain	NOUN
ap-6080	58	30	of	of	ADP
ap-6080	58	31	porous	porous	ADJ
ap-6080	58	32	media	medium	NOUN
ap-6080	58	33	flow	flow	NOUN
ap-6080	58	34	,	,	PUNCT
ap-6080	58	35	see	see	VERB
ap-6080	58	36	fig	fig	NOUN
ap-6080	58	37	.	.	PUNCT
ap-6080	59	1	3	3	X
ap-6080	59	2	.	.	PUNCT
ap-6080	60	1	the	the	DET
ap-6080	60	2	flow	flow	NOUN
ap-6080	60	3	in	in	ADP
ap-6080	60	4	the	the	DET
ap-6080	60	5	domain	domain	NOUN
ap-6080	60	6	ωpt	ωpt	NOUN
ap-6080	60	7	is	be	AUX
ap-6080	60	8	then	then	ADV
ap-6080	60	9	assumed	assume	VERB
ap-6080	60	10	to	to	PART
ap-6080	60	11	be	be	AUX
ap-6080	60	12	governed	govern	VERB
ap-6080	60	13	by	by	ADP
ap-6080	60	14	the	the	DET
ap-6080	60	15	modified	modify	VERB
ap-6080	60	16	equations	equation	NOUN
ap-6080	60	17	ρ	ρ	X
ap-6080	60	18	ja	ja	PROPN
ap-6080	60	19	da(jau	da(jau	NOUN
ap-6080	60	20	)	)	PUNCT
ap-6080	60	21	dt	dt	X
ap-6080	61	1	+	+	PROPN
ap-6080	61	2	ρ∇	ρ∇	PROPN
ap-6080	61	3	·	·	PUNCT
ap-6080	61	4	(	(	PUNCT
ap-6080	61	5	(	(	PUNCT
ap-6080	61	6	u−wd)⊗u	u−wd)⊗u	NOUN
ap-6080	61	7	)	)	PUNCT
ap-6080	62	1	+	+	NOUN
ap-6080	62	2	αu	αu	NOUN
ap-6080	62	3	=	=	SYM
ap-6080	62	4	div	div	X
ap-6080	62	5	τ	τ	X
ap-6080	62	6	f	f	PROPN
ap-6080	62	7	,	,	PUNCT
ap-6080	62	8	(	(	PUNCT
ap-6080	62	9	7	7	X
ap-6080	62	10	)	)	PUNCT
ap-6080	62	11	where	where	SCONJ
ap-6080	62	12	the	the	DET
ap-6080	62	13	coefficient	coefficient	NOUN
ap-6080	62	14	α	α	PROPN
ap-6080	62	15	corresponds	correspond	VERB
ap-6080	62	16	to	to	ADP
ap-6080	62	17	the	the	DET
ap-6080	62	18	artificial	artificial	ADJ
ap-6080	62	19	porosity	porosity	NOUN
ap-6080	62	20	of	of	ADP
ap-6080	62	21	the	the	DET
ap-6080	62	22	medium	medium	NOUN
ap-6080	62	23	,	,	PUNCT
ap-6080	62	24	see	see	VERB
ap-6080	62	25	[	[	X
ap-6080	62	26	6	6	NUM
ap-6080	62	27	]	]	PUNCT
ap-6080	62	28	.	.	PUNCT
ap-6080	63	1	the	the	DET
ap-6080	63	2	coefficient	coefficient	NOUN
ap-6080	63	3	in	in	ADP
ap-6080	63	4	the	the	DET
ap-6080	63	5	porous	porous	ADJ
ap-6080	63	6	media	medium	NOUN
ap-6080	63	7	flow	flow	NOUN
ap-6080	63	8	is	be	AUX
ap-6080	63	9	usually	usually	ADV
ap-6080	63	10	chosen	choose	VERB
ap-6080	63	11	as	as	ADP
ap-6080	63	12	α	α	NOUN
ap-6080	63	13	=	=	PROPN
ap-6080	63	14	µ	µ	PROPN
ap-6080	63	15	p	p	NOUN
ap-6080	63	16	where	where	SCONJ
ap-6080	63	17	µ	µ	NOUN
ap-6080	63	18	is	be	AUX
ap-6080	63	19	the	the	DET
ap-6080	63	20	dynamical	dynamical	ADJ
ap-6080	63	21	viscosity	viscosity	NOUN
ap-6080	63	22	of	of	ADP
ap-6080	63	23	the	the	DET
ap-6080	63	24	fluid	fluid	NOUN
ap-6080	63	25	and	and	CCONJ
ap-6080	63	26	p	p	NOUN
ap-6080	63	27	is	be	AUX
ap-6080	63	28	an	an	DET
ap-6080	63	29	artificial	artificial	ADJ
ap-6080	63	30	permeability	permeability	NOUN
ap-6080	63	31	coefficient	coefficient	NOUN
ap-6080	63	32	,	,	PUNCT
ap-6080	63	33	see	see	VERB
ap-6080	63	34	[	[	X
ap-6080	63	35	6	6	NUM
ap-6080	63	36	]	]	PUNCT
ap-6080	63	37	.	.	PUNCT
ap-6080	64	1	in	in	ADP
ap-6080	64	2	practical	practical	ADJ
ap-6080	64	3	computations	computation	NOUN
ap-6080	64	4	equation	equation	NOUN
ap-6080	64	5	(	(	PUNCT
ap-6080	64	6	7	7	X
ap-6080	64	7	)	)	PUNCT
ap-6080	64	8	is	be	AUX
ap-6080	64	9	solved	solve	VERB
ap-6080	64	10	in	in	ADP
ap-6080	64	11	the	the	DET
ap-6080	64	12	whole	whole	ADJ
ap-6080	64	13	computational	computational	ADJ
ap-6080	64	14	domain	domain	NOUN
ap-6080	64	15	ωt	ωt	NOUN
ap-6080	64	16	with	with	ADP
ap-6080	64	17	α	α	PRON
ap-6080	64	18	being	be	AUX
ap-6080	64	19	zero	zero	NUM
ap-6080	64	20	at	at	ADP
ap-6080	64	21	all	all	DET
ap-6080	64	22	points	point	NOUN
ap-6080	64	23	outside	outside	ADV
ap-6080	64	24	of	of	ADP
ap-6080	64	25	the	the	DET
ap-6080	64	26	porous	porous	ADJ
ap-6080	64	27	media	medium	NOUN
ap-6080	64	28	domain	domain	NOUN
ap-6080	64	29	ωpt	ωpt	NOUN
ap-6080	64	30	and	and	CCONJ
ap-6080	64	31	being	be	AUX
ap-6080	64	32	a	a	DET
ap-6080	64	33	positive	positive	ADJ
ap-6080	64	34	constant	constant	ADJ
ap-6080	64	35	(	(	PUNCT
ap-6080	64	36	in	in	ADP
ap-6080	64	37	this	this	DET
ap-6080	64	38	paper	paper	NOUN
ap-6080	64	39	α	α	NOUN
ap-6080	64	40	was	be	AUX
ap-6080	64	41	chosen	choose	VERB
ap-6080	64	42	as	as	ADP
ap-6080	64	43	107	107	NUM
ap-6080	64	44	)	)	PUNCT
ap-6080	64	45	in	in	ADP
ap-6080	64	46	the	the	DET
ap-6080	64	47	interior	interior	NOUN
ap-6080	64	48	of	of	ADP
ap-6080	64	49	ωpt	ωpt	NOUN
ap-6080	64	50	.	.	PUNCT
ap-6080	65	1	156	156	NUM
ap-6080	65	2	vol	vol	NOUN
ap-6080	65	3	.	.	PUNCT
ap-6080	66	1	61	61	NUM
ap-6080	66	2	special	special	ADJ
ap-6080	66	3	issue/2021	issue/2021	NOUN
ap-6080	66	4	numerical	numerical	ADJ
ap-6080	66	5	solution	solution	NOUN
ap-6080	66	6	of	of	ADP
ap-6080	66	7	fsi	fsi	PROPN
ap-6080	66	8	problems	problem	NOUN
ap-6080	66	9	with	with	ADP
ap-6080	66	10	contacts	contact	NOUN
ap-6080	66	11	ω	ω	PROPN
ap-6080	66	12	γ	γ	X
ap-6080	66	13	t	t	PROPN
ap-6080	66	14	wt	wt	NOUN
ap-6080	66	15	figure	figure	NOUN
ap-6080	66	16	3	3	NUM
ap-6080	66	17	.	.	PUNCT
ap-6080	67	1	the	the	DET
ap-6080	67	2	detail	detail	NOUN
ap-6080	67	3	of	of	ADP
ap-6080	67	4	the	the	DET
ap-6080	67	5	porous	porous	ADJ
ap-6080	67	6	media	medium	NOUN
ap-6080	67	7	flow	flow	NOUN
ap-6080	67	8	domain	domain	NOUN
ap-6080	67	9	ωp	ωp	ADP
ap-6080	67	10	t	t	PROPN
ap-6080	67	11	.	.	PUNCT
ap-6080	68	1	the	the	DET
ap-6080	68	2	porous	porous	ADJ
ap-6080	68	3	media	medium	NOUN
ap-6080	68	4	domain	domain	NOUN
ap-6080	68	5	is	be	AUX
ap-6080	68	6	determined	determine	VERB
ap-6080	68	7	by	by	ADP
ap-6080	68	8	the	the	DET
ap-6080	68	9	following	follow	VERB
ap-6080	68	10	procedure	procedure	NOUN
ap-6080	68	11	illustrated	illustrate	VERB
ap-6080	68	12	in	in	ADP
ap-6080	68	13	figure	figure	NOUN
ap-6080	68	14	3	3	NUM
ap-6080	68	15	.	.	PUNCT
ap-6080	69	1	first	first	ADV
ap-6080	69	2	,	,	PUNCT
ap-6080	69	3	the	the	DET
ap-6080	69	4	actual	actual	ADJ
ap-6080	69	5	gap	gap	NOUN
ap-6080	69	6	g(t	g(t	PROPN
ap-6080	69	7	)	)	PUNCT
ap-6080	70	1	at	at	ADP
ap-6080	70	2	time	time	NOUN
ap-6080	70	3	t	t	PROPN
ap-6080	70	4	is	be	AUX
ap-6080	70	5	computed	compute	VERB
ap-6080	70	6	as	as	ADP
ap-6080	70	7	distance	distance	NOUN
ap-6080	70	8	of	of	ADP
ap-6080	70	9	γwt	γwt	NOUN
ap-6080	70	10	from	from	ADP
ap-6080	70	11	the	the	DET
ap-6080	70	12	axis	axis	NOUN
ap-6080	70	13	of	of	ADP
ap-6080	70	14	symmetry	symmetry	NOUN
ap-6080	70	15	γs	γs	VERB
ap-6080	70	16	and	and	CCONJ
ap-6080	70	17	compared	compare	VERB
ap-6080	70	18	to	to	ADP
ap-6080	70	19	a	a	DET
ap-6080	70	20	prescribed	prescribe	VERB
ap-6080	70	21	minimal	minimal	ADJ
ap-6080	70	22	gap	gap	NOUN
ap-6080	70	23	threshold	threshold	NOUN
ap-6080	70	24	gmin	gmin	NOUN
ap-6080	70	25	.	.	PUNCT
ap-6080	71	1	if	if	SCONJ
ap-6080	71	2	g(t	g(t	PROPN
ap-6080	71	3	)	)	PUNCT
ap-6080	71	4	≥	≥	NOUN
ap-6080	71	5	gmin	gmin	NOUN
ap-6080	71	6	,	,	PUNCT
ap-6080	71	7	then	then	ADV
ap-6080	71	8	the	the	DET
ap-6080	71	9	glottis	glottis	NOUN
ap-6080	71	10	is	be	AUX
ap-6080	71	11	open	open	ADJ
ap-6080	71	12	and	and	CCONJ
ap-6080	71	13	no	no	DET
ap-6080	71	14	porous	porous	ADJ
ap-6080	71	15	media	medium	NOUN
ap-6080	71	16	is	be	AUX
ap-6080	71	17	used	use	VERB
ap-6080	71	18	(	(	PUNCT
ap-6080	71	19	i.e.	i.e.	X
ap-6080	71	20	ωp	ωp	ADP
ap-6080	71	21	t	t	PROPN
ap-6080	71	22	is	be	AUX
ap-6080	71	23	empty	empty	ADJ
ap-6080	71	24	and	and	CCONJ
ap-6080	71	25	α	α	DET
ap-6080	71	26	≡	≡	PROPN
ap-6080	71	27	0	0	NUM
ap-6080	71	28	)	)	PUNCT
ap-6080	71	29	.	.	PUNCT
ap-6080	72	1	for	for	ADP
ap-6080	72	2	g(t	g(t	PROPN
ap-6080	72	3	)	)	PUNCT
ap-6080	72	4	<	<	X
ap-6080	72	5	gmin	gmin	VERB
ap-6080	72	6	the	the	DET
ap-6080	72	7	y	y	PROPN
ap-6080	72	8	-	-	NOUN
ap-6080	72	9	displacement	displacement	NOUN
ap-6080	72	10	of	of	ADP
ap-6080	72	11	the	the	DET
ap-6080	72	12	points	point	NOUN
ap-6080	72	13	of	of	ADP
ap-6080	72	14	the	the	DET
ap-6080	72	15	surface	surface	NOUN
ap-6080	72	16	of	of	ADP
ap-6080	72	17	γwt	γwt	NOUN
ap-6080	72	18	is	be	AUX
ap-6080	72	19	modified	modify	VERB
ap-6080	72	20	in	in	ADP
ap-6080	72	21	order	order	NOUN
ap-6080	72	22	to	to	PART
ap-6080	72	23	not	not	PART
ap-6080	72	24	violate	violate	VERB
ap-6080	72	25	the	the	DET
ap-6080	72	26	condition	condition	NOUN
ap-6080	72	27	g(t	g(t	PROPN
ap-6080	72	28	)	)	PUNCT
ap-6080	72	29	≥	≥	NOUN
ap-6080	72	30	gmin	gmin	NOUN
ap-6080	72	31	,	,	PUNCT
ap-6080	72	32	i.e.	i.e.	X
ap-6080	72	33	these	these	DET
ap-6080	72	34	points	point	NOUN
ap-6080	72	35	are	be	AUX
ap-6080	72	36	vertically	vertically	ADV
ap-6080	72	37	displaced	displace	VERB
ap-6080	72	38	by	by	ADP
ap-6080	72	39	such	such	DET
ap-6080	72	40	a	a	DET
ap-6080	72	41	shift	shift	NOUN
ap-6080	72	42	−∆w	−∆w	NOUN
ap-6080	72	43	,	,	PUNCT
ap-6080	72	44	which	which	PRON
ap-6080	72	45	makes	make	VERB
ap-6080	72	46	the	the	DET
ap-6080	72	47	actual	actual	ADJ
ap-6080	72	48	gap	gap	NOUN
ap-6080	72	49	equal	equal	ADJ
ap-6080	72	50	to	to	ADP
ap-6080	72	51	g(t	g(t	PROPN
ap-6080	72	52	)	)	PUNCT
ap-6080	73	1	=	=	SYM
ap-6080	73	2	gmin	gmin	NOUN
ap-6080	73	3	.	.	PUNCT
ap-6080	74	1	for	for	ADP
ap-6080	74	2	the	the	DET
ap-6080	74	3	structural	structural	ADJ
ap-6080	74	4	model	model	NOUN
ap-6080	74	5	the	the	DET
ap-6080	74	6	hertz	hertz	NOUN
ap-6080	74	7	impact	impact	NOUN
ap-6080	74	8	forces	force	NOUN
ap-6080	74	9	are	be	AUX
ap-6080	74	10	used	use	VERB
ap-6080	74	11	as	as	SCONJ
ap-6080	74	12	specified	specify	VERB
ap-6080	74	13	in	in	ADP
ap-6080	74	14	[	[	X
ap-6080	74	15	3	3	NUM
ap-6080	74	16	]	]	PUNCT
ap-6080	74	17	.	.	PUNCT
ap-6080	75	1	in	in	ADP
ap-6080	75	2	this	this	DET
ap-6080	75	3	case	case	NOUN
ap-6080	75	4	,	,	PUNCT
ap-6080	75	5	the	the	DET
ap-6080	75	6	right	right	ADJ
ap-6080	75	7	hand	hand	NOUN
ap-6080	75	8	side	side	NOUN
ap-6080	75	9	f	f	PROPN
ap-6080	75	10	of	of	ADP
ap-6080	75	11	eq	eq	PROPN
ap-6080	75	12	.	.	PUNCT
ap-6080	75	13	(	(	PUNCT
ap-6080	75	14	4	4	X
ap-6080	75	15	)	)	PUNCT
ap-6080	75	16	is	be	AUX
ap-6080	75	17	modified	modify	VERB
ap-6080	75	18	by	by	ADP
ap-6080	75	19	the	the	DET
ap-6080	75	20	addition	addition	NOUN
ap-6080	75	21	of	of	ADP
ap-6080	75	22	the	the	DET
ap-6080	75	23	hertz	hertz	NOUN
ap-6080	75	24	impact	impact	PROPN
ap-6080	75	25	force	force	NOUN
ap-6080	75	26	fh	fh	PROPN
ap-6080	75	27	.	.	PUNCT
ap-6080	76	1	the	the	DET
ap-6080	76	2	hertz	hertz	NOUN
ap-6080	76	3	impact	impact	NOUN
ap-6080	76	4	force	force	NOUN
ap-6080	76	5	is	be	AUX
ap-6080	76	6	then	then	ADV
ap-6080	76	7	distributed	distribute	VERB
ap-6080	76	8	to	to	ADP
ap-6080	76	9	the	the	DET
ap-6080	76	10	both	both	DET
ap-6080	76	11	components	component	NOUN
ap-6080	76	12	of	of	ADP
ap-6080	76	13	f	f	PROPN
ap-6080	76	14	depending	depend	VERB
ap-6080	76	15	on	on	ADP
ap-6080	76	16	the	the	DET
ap-6080	76	17	position	position	NOUN
ap-6080	76	18	xmax	xmax	NOUN
ap-6080	76	19	of	of	ADP
ap-6080	76	20	the	the	DET
ap-6080	76	21	impact	impact	NOUN
ap-6080	76	22	.	.	PUNCT
ap-6080	77	1	the	the	DET
ap-6080	77	2	model	model	NOUN
ap-6080	77	3	of	of	ADP
ap-6080	77	4	herz	herz	PROPN
ap-6080	77	5	impact	impact	NOUN
ap-6080	77	6	forces	force	NOUN
ap-6080	77	7	is	be	AUX
ap-6080	77	8	given	give	VERB
ap-6080	77	9	as	as	ADP
ap-6080	77	10	fh	fh	PROPN
ap-6080	77	11	=	=	PUNCT
ap-6080	77	12	khδ	khδ	PROPN
ap-6080	77	13	3/2(1	3/2(1	NUM
ap-6080	77	14	+	+	CCONJ
ap-6080	77	15	bh	bh	PROPN
ap-6080	77	16	δ̇	δ̇	PROPN
ap-6080	77	17	)	)	PUNCT
ap-6080	77	18	,	,	PUNCT
ap-6080	77	19	kh	kh	PROPN
ap-6080	77	20	≈	≈	PROPN
ap-6080	77	21	4	4	NUM
ap-6080	77	22	3	3	NUM
ap-6080	77	23	e	e	NOUN
ap-6080	77	24	1−	1−	NUM
ap-6080	77	25	µ2	µ2	NOUN
ap-6080	77	26	h	h	NOUN
ap-6080	77	27	√	√	NOUN
ap-6080	77	28	r	r	NOUN
ap-6080	77	29	,	,	PUNCT
ap-6080	77	30	where	where	SCONJ
ap-6080	77	31	δ	δ	PROPN
ap-6080	77	32	stands	stand	VERB
ap-6080	77	33	for	for	ADP
ap-6080	77	34	the	the	DET
ap-6080	77	35	penetration	penetration	NOUN
ap-6080	77	36	of	of	ADP
ap-6080	77	37	the	the	DET
ap-6080	77	38	vocal	vocal	ADJ
ap-6080	77	39	fold	fold	NOUN
ap-6080	77	40	through	through	ADP
ap-6080	77	41	the	the	DET
ap-6080	77	42	contact	contact	NOUN
ap-6080	77	43	plane	plane	NOUN
ap-6080	77	44	,	,	PUNCT
ap-6080	77	45	bh	bh	PROPN
ap-6080	77	46	is	be	AUX
ap-6080	77	47	a	a	DET
ap-6080	77	48	damping	damp	VERB
ap-6080	77	49	factor	factor	NOUN
ap-6080	77	50	(	(	PUNCT
ap-6080	77	51	here	here	ADV
ap-6080	77	52	set	set	VERB
ap-6080	77	53	to	to	ADP
ap-6080	77	54	zero	zero	NUM
ap-6080	77	55	)	)	PUNCT
ap-6080	77	56	,	,	PUNCT
ap-6080	77	57	r	r	NOUN
ap-6080	77	58	is	be	AUX
ap-6080	77	59	the	the	DET
ap-6080	77	60	radius	radius	NOUN
ap-6080	77	61	of	of	ADP
ap-6080	77	62	the	the	DET
ap-6080	77	63	osculating	osculating	NOUN
ap-6080	77	64	circle	circle	NOUN
ap-6080	77	65	(	(	PUNCT
ap-6080	77	66	i.e.	i.e.	X
ap-6080	77	67	inverse	inverse	NOUN
ap-6080	77	68	of	of	ADP
ap-6080	77	69	the	the	DET
ap-6080	77	70	curvature	curvature	NOUN
ap-6080	77	71	)	)	PUNCT
ap-6080	77	72	,	,	PUNCT
ap-6080	77	73	e	e	PRON
ap-6080	77	74	is	be	AUX
ap-6080	77	75	young	young	ADJ
ap-6080	77	76	’s	’s	PART
ap-6080	77	77	modulus	modulus	NOUN
ap-6080	77	78	of	of	ADP
ap-6080	77	79	elasticity	elasticity	NOUN
ap-6080	77	80	of	of	ADP
ap-6080	77	81	the	the	DET
ap-6080	77	82	vocal	vocal	ADJ
ap-6080	77	83	fold	fold	NOUN
ap-6080	77	84	and	and	CCONJ
ap-6080	77	85	µh	µh	NOUN
ap-6080	77	86	is	be	AUX
ap-6080	77	87	its	its	PRON
ap-6080	77	88	poisson	poisson	NOUN
ap-6080	77	89	’s	’s	PART
ap-6080	77	90	ratio	ratio	NOUN
ap-6080	77	91	,	,	PUNCT
ap-6080	77	92	for	for	SCONJ
ap-6080	77	93	values	value	NOUN
ap-6080	77	94	see	see	VERB
ap-6080	77	95	[	[	X
ap-6080	77	96	3	3	NUM
ap-6080	77	97	]	]	PUNCT
ap-6080	77	98	.	.	PUNCT
ap-6080	78	1	2.5	2.5	NUM
ap-6080	78	2	.	.	PUNCT
ap-6080	79	1	mesh	mesh	NOUN
ap-6080	79	2	deformation	deformation	NOUN
ap-6080	79	3	first	first	ADV
ap-6080	79	4	,	,	PUNCT
ap-6080	79	5	due	due	ADP
ap-6080	79	6	to	to	ADP
ap-6080	79	7	the	the	DET
ap-6080	79	8	motion	motion	NOUN
ap-6080	79	9	of	of	ADP
ap-6080	79	10	the	the	DET
ap-6080	79	11	structure	structure	NOUN
ap-6080	79	12	,	,	PUNCT
ap-6080	79	13	the	the	DET
ap-6080	79	14	transformation	transformation	NOUN
ap-6080	79	15	of	of	ADP
ap-6080	79	16	the	the	DET
ap-6080	79	17	computational	computational	ADJ
ap-6080	79	18	domain	domain	NOUN
ap-6080	79	19	(	(	PUNCT
ap-6080	79	20	and	and	CCONJ
ap-6080	79	21	mesh	mesh	VERB
ap-6080	79	22	as	as	ADV
ap-6080	79	23	well	well	ADV
ap-6080	79	24	)	)	PUNCT
ap-6080	79	25	needs	need	VERB
ap-6080	79	26	to	to	PART
ap-6080	79	27	be	be	AUX
ap-6080	79	28	constructes	constructe	NOUN
ap-6080	79	29	at	at	ADP
ap-6080	79	30	every	every	DET
ap-6080	79	31	time	time	NOUN
ap-6080	79	32	instant	instant	ADJ
ap-6080	79	33	tk	tk	NOUN
ap-6080	79	34	.	.	PUNCT
ap-6080	80	1	here	here	ADV
ap-6080	80	2	it	it	PRON
ap-6080	80	3	is	be	AUX
ap-6080	80	4	represented	represent	VERB
ap-6080	80	5	by	by	ADP
ap-6080	80	6	the	the	DET
ap-6080	80	7	construction	construction	NOUN
ap-6080	80	8	of	of	ADP
ap-6080	80	9	the	the	DET
ap-6080	80	10	ale	ale	NOUN
ap-6080	80	11	mapping	mapping	NOUN
ap-6080	80	12	at	at	ADP
ap-6080	80	13	at	at	ADP
ap-6080	80	14	every	every	DET
ap-6080	80	15	time	time	NOUN
ap-6080	80	16	instant	instant	NOUN
ap-6080	80	17	t	t	PROPN
ap-6080	80	18	=	=	SYM
ap-6080	80	19	tk	tk	PROPN
ap-6080	80	20	.	.	PUNCT
ap-6080	81	1	the	the	DET
ap-6080	81	2	ale	ale	NOUN
ap-6080	81	3	mapping	mapping	NOUN
ap-6080	81	4	at	at	ADP
ap-6080	81	5	is	be	AUX
ap-6080	81	6	sought	seek	VERB
ap-6080	81	7	in	in	ADP
ap-6080	81	8	the	the	DET
ap-6080	81	9	form	form	NOUN
ap-6080	81	10	of	of	ADP
ap-6080	81	11	displacements	displacement	NOUN
ap-6080	81	12	d	d	X
ap-6080	81	13	=	=	SYM
ap-6080	81	14	d(ξ	d(ξ	PROPN
ap-6080	81	15	,	,	PUNCT
ap-6080	81	16	t	t	PROPN
ap-6080	81	17	)	)	PUNCT
ap-6080	81	18	of	of	ADP
ap-6080	81	19	points	point	NOUN
ap-6080	81	20	ξ	ξ	PROPN
ap-6080	81	21	of	of	ADP
ap-6080	81	22	the	the	DET
ap-6080	81	23	original	original	ADJ
ap-6080	81	24	configuration	configuration	NOUN
ap-6080	81	25	,	,	PUNCT
ap-6080	81	26	i.e.	i.e.	X
ap-6080	81	27	at(ξ	at(ξ	ADV
ap-6080	81	28	)	)	PUNCT
ap-6080	81	29	=	=	SYM
ap-6080	82	1	ξ	ξ	PROPN
ap-6080	82	2	+	+	PUNCT
ap-6080	82	3	d(ξ	d(ξ	PROPN
ap-6080	82	4	,	,	PUNCT
ap-6080	82	5	t	t	PROPN
ap-6080	82	6	)	)	PUNCT
ap-6080	82	7	.	.	PUNCT
ap-6080	83	1	the	the	DET
ap-6080	83	2	boundary	boundary	ADJ
ap-6080	83	3	condition	condition	NOUN
ap-6080	83	4	for	for	ADP
ap-6080	83	5	d	d	PROPN
ap-6080	83	6	is	be	AUX
ap-6080	83	7	then	then	ADV
ap-6080	83	8	known	know	VERB
ap-6080	83	9	for	for	ADP
ap-6080	83	10	every	every	DET
ap-6080	83	11	point	point	NOUN
ap-6080	83	12	of	of	ADP
ap-6080	83	13	the	the	DET
ap-6080	83	14	boundary	boundary	ADJ
ap-6080	83	15	∂ω	∂ω	PROPN
ap-6080	83	16	:	:	PUNCT
ap-6080	83	17	at	at	ADP
ap-6080	83	18	∂ω	∂ω	ADJ
ap-6080	83	19	\	\	NOUN
ap-6080	83	20	γwt	γwt	NOUN
ap-6080	83	21	the	the	DET
ap-6080	83	22	displacement	displacement	NOUN
ap-6080	83	23	d	d	X
ap-6080	83	24	=	=	SYM
ap-6080	83	25	0	0	NUM
ap-6080	84	1	and	and	CCONJ
ap-6080	84	2	at	at	ADP
ap-6080	84	3	γwt	γwt	NOUN
ap-6080	84	4	it	it	PRON
ap-6080	84	5	is	be	AUX
ap-6080	84	6	determined	determine	VERB
ap-6080	84	7	by	by	ADP
ap-6080	84	8	the	the	DET
ap-6080	84	9	already	already	ADV
ap-6080	84	10	known	know	VERB
ap-6080	84	11	(	(	PUNCT
ap-6080	84	12	or	or	CCONJ
ap-6080	84	13	estimated	estimate	VERB
ap-6080	84	14	)	)	PUNCT
ap-6080	84	15	position	position	NOUN
ap-6080	84	16	of	of	ADP
ap-6080	84	17	the	the	DET
ap-6080	84	18	structure	structure	NOUN
ap-6080	84	19	surface	surface	NOUN
ap-6080	84	20	γwt	γwt	NOUN
ap-6080	84	21	in	in	ADP
ap-6080	84	22	terms	term	NOUN
ap-6080	84	23	of	of	ADP
ap-6080	84	24	the	the	DET
ap-6080	84	25	displacements	displacement	NOUN
ap-6080	84	26	w1	w1	NOUN
ap-6080	84	27	and	and	CCONJ
ap-6080	84	28	w2	w2	NOUN
ap-6080	84	29	.	.	PUNCT
ap-6080	85	1	in	in	ADP
ap-6080	85	2	order	order	NOUN
ap-6080	85	3	to	to	PART
ap-6080	85	4	determine	determine	VERB
ap-6080	85	5	d	d	PROPN
ap-6080	85	6	in	in	ADP
ap-6080	85	7	ω	ω	NUM
ap-6080	85	8	a	a	DET
ap-6080	85	9	boundary	boundary	ADJ
ap-6080	85	10	value	value	NOUN
ap-6080	85	11	problem	problem	NOUN
ap-6080	85	12	is	be	AUX
ap-6080	85	13	solved	solve	VERB
ap-6080	85	14	,	,	PUNCT
ap-6080	85	15	see	see	VERB
ap-6080	85	16	e.g.	e.g.	ADV
ap-6080	85	17	[	[	X
ap-6080	85	18	7	7	NUM
ap-6080	85	19	]	]	PUNCT
ap-6080	85	20	.	.	PUNCT
ap-6080	86	1	3	3	X
ap-6080	86	2	.	.	X
ap-6080	86	3	numerical	numerical	ADJ
ap-6080	86	4	approximation	approximation	NOUN
ap-6080	86	5	in	in	ADP
ap-6080	86	6	this	this	DET
ap-6080	86	7	section	section	NOUN
ap-6080	86	8	let	let	VERB
ap-6080	86	9	us	we	PRON
ap-6080	86	10	consider	consider	VERB
ap-6080	86	11	the	the	DET
ap-6080	86	12	computational	computational	ADJ
ap-6080	86	13	domain	domain	NOUN
ap-6080	86	14	ωt	ωt	NOUN
ap-6080	86	15	and	and	CCONJ
ap-6080	86	16	the	the	DET
ap-6080	86	17	ale	ale	NOUN
ap-6080	86	18	mapping	mapping	NOUN
ap-6080	86	19	at	at	ADP
ap-6080	86	20	to	to	PART
ap-6080	86	21	be	be	AUX
ap-6080	86	22	already	already	ADV
ap-6080	86	23	known	know	VERB
ap-6080	86	24	and	and	CCONJ
ap-6080	86	25	at	at	ADP
ap-6080	86	26	to	to	PART
ap-6080	86	27	be	be	AUX
ap-6080	86	28	sufficiently	sufficiently	ADV
ap-6080	86	29	smooth	smooth	ADJ
ap-6080	86	30	at	at	ADP
ap-6080	86	31	every	every	DET
ap-6080	86	32	time	time	NOUN
ap-6080	86	33	instant	instant	NOUN
ap-6080	86	34	t	t	PROPN
ap-6080	86	35	∈	∈	PROPN
ap-6080	87	1	i	i	PRON
ap-6080	87	2	=	=	SYM
ap-6080	87	3	(	(	PUNCT
ap-6080	87	4	0	0	NUM
ap-6080	87	5	,	,	PUNCT
ap-6080	87	6	t	t	NOUN
ap-6080	87	7	)	)	PUNCT
ap-6080	87	8	.	.	PUNCT
ap-6080	88	1	a	a	DET
ap-6080	88	2	similar	similar	ADJ
ap-6080	88	3	assumption	assumption	NOUN
ap-6080	88	4	is	be	AUX
ap-6080	88	5	made	make	VERB
ap-6080	88	6	about	about	ADP
ap-6080	88	7	the	the	DET
ap-6080	88	8	domain	domain	NOUN
ap-6080	88	9	velocity	velocity	NOUN
ap-6080	88	10	wd	wd	PROPN
ap-6080	88	11	.	.	PROPN
ap-6080	88	12	3.1	3.1	NUM
ap-6080	88	13	.	.	PUNCT
ap-6080	88	14	weak	weak	ADJ
ap-6080	88	15	formulation	formulation	NOUN
ap-6080	88	16	in	in	ADP
ap-6080	88	17	order	order	NOUN
ap-6080	88	18	to	to	PART
ap-6080	88	19	introduce	introduce	VERB
ap-6080	88	20	the	the	DET
ap-6080	88	21	function	function	NOUN
ap-6080	88	22	spaces	space	NOUN
ap-6080	88	23	for	for	ADP
ap-6080	88	24	velocity	velocity	NOUN
ap-6080	88	25	and	and	CCONJ
ap-6080	88	26	pressure	pressure	NOUN
ap-6080	88	27	,	,	PUNCT
ap-6080	88	28	we	we	PRON
ap-6080	88	29	start	start	VERB
ap-6080	88	30	with	with	ADP
ap-6080	88	31	defining	define	VERB
ap-6080	88	32	the	the	DET
ap-6080	88	33	spaces	space	NOUN
ap-6080	88	34	for	for	ADP
ap-6080	88	35	velocity	velocity	NOUN
ap-6080	88	36	and	and	CCONJ
ap-6080	88	37	pressure	pressure	NOUN
ap-6080	88	38	at	at	ADP
ap-6080	88	39	the	the	DET
ap-6080	88	40	reference	reference	NOUN
ap-6080	88	41	configuration	configuration	NOUN
ap-6080	88	42	.	.	PUNCT
ap-6080	89	1	we	we	PRON
ap-6080	89	2	shall	shall	AUX
ap-6080	89	3	seek	seek	VERB
ap-6080	89	4	the	the	DET
ap-6080	89	5	velocity	velocity	NOUN
ap-6080	89	6	-	-	PUNCT
ap-6080	89	7	pressure	pressure	NOUN
ap-6080	89	8	pair	pair	NOUN
ap-6080	89	9	u	u	NOUN
ap-6080	89	10	=	=	PUNCT
ap-6080	89	11	(	(	PUNCT
ap-6080	89	12	u	u	NOUN
ap-6080	89	13	,	,	PUNCT
ap-6080	89	14	p	p	NOUN
ap-6080	89	15	)	)	PUNCT
ap-6080	89	16	at	at	ADP
ap-6080	89	17	any	any	DET
ap-6080	89	18	time	time	NOUN
ap-6080	89	19	instant	instant	ADJ
ap-6080	89	20	t	t	NOUN
ap-6080	89	21	in	in	ADP
ap-6080	89	22	the	the	DET
ap-6080	89	23	space	space	NOUN
ap-6080	89	24	wt	wt	PROPN
ap-6080	89	25	=	=	PROPN
ap-6080	89	26	vt	vt	PROPN
ap-6080	89	27	×qt	×qt	PROPN
ap-6080	89	28	,	,	PUNCT
ap-6080	89	29	where	where	SCONJ
ap-6080	89	30	qt	qt	NOUN
ap-6080	89	31	=	=	SYM
ap-6080	89	32	l2(ωt	l2(ωt	PROPN
ap-6080	89	33	)	)	PUNCT
ap-6080	89	34	and	and	CCONJ
ap-6080	89	35	vt	vt	NOUN
ap-6080	89	36	=	=	PUNCT
ap-6080	89	37	{	{	PUNCT
ap-6080	89	38	ϕ	ϕ	NOUN
ap-6080	89	39	∈h1(ωt	∈h1(ωt	NOUN
ap-6080	89	40	)	)	PUNCT
ap-6080	89	41	:	:	PUNCT
ap-6080	89	42	ϕ	ϕ	X
ap-6080	89	43	·	·	PUNCT
ap-6080	89	44	n	n	PROPN
ap-6080	89	45	=	=	SYM
ap-6080	89	46	0	0	NUM
ap-6080	89	47	at	at	ADP
ap-6080	89	48	γs	γs	ADP
ap-6080	89	49	}	}	PUNCT
ap-6080	89	50	.	.	PUNCT
ap-6080	90	1	further	far	ADV
ap-6080	90	2	,	,	PUNCT
ap-6080	90	3	the	the	DET
ap-6080	90	4	weak	weak	ADJ
ap-6080	90	5	formulation	formulation	NOUN
ap-6080	90	6	is	be	AUX
ap-6080	90	7	derived	derive	VERB
ap-6080	90	8	using	use	VERB
ap-6080	90	9	the	the	DET
ap-6080	90	10	standard	standard	ADJ
ap-6080	90	11	approach	approach	NOUN
ap-6080	90	12	,	,	PUNCT
ap-6080	90	13	i.e.	i.e.	X
ap-6080	90	14	we	we	PRON
ap-6080	90	15	multiply	multiply	VERB
ap-6080	90	16	equations	equation	NOUN
ap-6080	90	17	(	(	PUNCT
ap-6080	90	18	1	1	NUM
ap-6080	90	19	)	)	PUNCT
ap-6080	90	20	by	by	ADP
ap-6080	90	21	test	test	NOUN
ap-6080	90	22	functions	function	NOUN
ap-6080	90	23	z	z	PROPN
ap-6080	90	24	and	and	CCONJ
ap-6080	90	25	q	q	ADJ
ap-6080	90	26	,	,	PUNCT
ap-6080	90	27	integrate	integrate	VERB
ap-6080	90	28	over	over	ADP
ap-6080	90	29	ωt	ωt	NOUN
ap-6080	90	30	and	and	CCONJ
ap-6080	90	31	use	use	VERB
ap-6080	90	32	green	green	ADJ
ap-6080	90	33	theorem	theorem	PROPN
ap-6080	90	34	.	.	PUNCT
ap-6080	91	1	however	however	ADV
ap-6080	91	2	,	,	PUNCT
ap-6080	91	3	in	in	ADP
ap-6080	91	4	the	the	DET
ap-6080	91	5	finite	finite	ADJ
ap-6080	91	6	element	element	NOUN
ap-6080	91	7	context	context	NOUN
ap-6080	91	8	such	such	ADJ
ap-6080	91	9	test	test	NOUN
ap-6080	91	10	functions	function	NOUN
ap-6080	91	11	are	be	AUX
ap-6080	91	12	usually	usually	ADV
ap-6080	91	13	time	time	NOUN
ap-6080	91	14	independent	independent	ADJ
ap-6080	91	15	,	,	PUNCT
ap-6080	91	16	whereas	whereas	SCONJ
ap-6080	91	17	here	here	ADV
ap-6080	91	18	the	the	DET
ap-6080	91	19	test	test	NOUN
ap-6080	91	20	functions	function	NOUN
ap-6080	91	21	are	be	AUX
ap-6080	91	22	defined	define	VERB
ap-6080	91	23	over	over	ADP
ap-6080	91	24	the	the	DET
ap-6080	91	25	time	time	NOUN
ap-6080	91	26	dependent	dependent	ADJ
ap-6080	91	27	domain	domain	NOUN
ap-6080	91	28	ωt	ωt	X
ap-6080	91	29	and	and	CCONJ
ap-6080	91	30	naturally	naturally	ADV
ap-6080	91	31	must	must	AUX
ap-6080	91	32	be	be	AUX
ap-6080	91	33	chosen	choose	VERB
ap-6080	91	34	as	as	ADP
ap-6080	91	35	time	time	NOUN
ap-6080	91	36	dependent	dependent	ADJ
ap-6080	91	37	.	.	PUNCT
ap-6080	92	1	to	to	ADP
ap-6080	92	2	this	this	DET
ap-6080	92	3	end	end	NOUN
ap-6080	92	4	we	we	PRON
ap-6080	92	5	first	first	ADV
ap-6080	92	6	define	define	VERB
ap-6080	92	7	the	the	DET
ap-6080	92	8	test	test	NOUN
ap-6080	92	9	functions	function	NOUN
ap-6080	92	10	on	on	ADP
ap-6080	92	11	the	the	DET
ap-6080	92	12	reference	reference	NOUN
ap-6080	92	13	domain	domain	NOUN
ap-6080	92	14	ωref	ωref	NOUN
ap-6080	92	15	0	0	NUM
ap-6080	92	16	,	,	PUNCT
ap-6080	92	17	i.e.	i.e.	X
ap-6080	92	18	we	we	PRON
ap-6080	92	19	denote	denote	VERB
ap-6080	92	20	x	x	X
ap-6080	92	21	ref	ref	NOUN
ap-6080	92	22	=	=	SYM
ap-6080	92	23	{	{	PUNCT
ap-6080	92	24	ϕ	ϕ	PROPN
ap-6080	92	25	∈h1(ωref0	∈h1(ωref0	PROPN
ap-6080	92	26	)	)	PUNCT
ap-6080	92	27	:	:	PUNCT
ap-6080	93	1	ϕ	ϕ	X
ap-6080	93	2	=	=	NOUN
ap-6080	93	3	0	0	PROPN
ap-6080	94	1	at	at	ADP
ap-6080	94	2	γw	γw	PROPN
ap-6080	94	3	ref	ref	NOUN
ap-6080	94	4	0	0	NUM
ap-6080	94	5	,	,	PUNCT
ap-6080	94	6	ϕ	ϕ	X
ap-6080	94	7	·	·	PUNCT
ap-6080	94	8	n	n	PROPN
ap-6080	94	9	=	=	SYM
ap-6080	94	10	0	0	NUM
ap-6080	94	11	at	at	ADP
ap-6080	94	12	γs	γs	ADP
ap-6080	94	13	}	}	PUNCT
ap-6080	94	14	.	.	PUNCT
ap-6080	95	1	(	(	PUNCT
ap-6080	95	2	8)	8)	NUM
ap-6080	95	3	next	next	ADV
ap-6080	95	4	,	,	PUNCT
ap-6080	95	5	these	these	DET
ap-6080	95	6	(	(	PUNCT
ap-6080	95	7	reference	reference	NOUN
ap-6080	95	8	)	)	PUNCT
ap-6080	95	9	test	test	NOUN
ap-6080	95	10	functions	function	NOUN
ap-6080	95	11	are	be	AUX
ap-6080	95	12	defined	define	VERB
ap-6080	95	13	on	on	ADP
ap-6080	95	14	the	the	DET
ap-6080	95	15	current	current	ADJ
ap-6080	95	16	configuration	configuration	NOUN
ap-6080	95	17	ωt	ωt	ADP
ap-6080	95	18	with	with	ADP
ap-6080	95	19	the	the	DET
ap-6080	95	20	aid	aid	NOUN
ap-6080	95	21	of	of	ADP
ap-6080	95	22	the	the	DET
ap-6080	95	23	ale	ale	NOUN
ap-6080	95	24	mapping	mapping	NOUN
ap-6080	95	25	at	at	ADP
ap-6080	95	26	,	,	PUNCT
ap-6080	95	27	i.e.	i.e.	X
ap-6080	95	28	the	the	DET
ap-6080	95	29	test	test	NOUN
ap-6080	95	30	function	function	NOUN
ap-6080	95	31	z	z	NOUN
ap-6080	95	32	=	=	SYM
ap-6080	95	33	z(x	z(x	NUM
ap-6080	95	34	,	,	PUNCT
ap-6080	95	35	t	t	PROPN
ap-6080	95	36	)	)	PUNCT
ap-6080	95	37	can	can	AUX
ap-6080	95	38	be	be	AUX
ap-6080	95	39	defined	define	VERB
ap-6080	95	40	using	use	VERB
ap-6080	95	41	a	a	DET
ap-6080	95	42	reference	reference	NOUN
ap-6080	95	43	test	test	NOUN
ap-6080	95	44	function	function	NOUN
ap-6080	95	45	zref	zref	NOUN
ap-6080	95	46	∈	∈	PROPN
ap-6080	95	47	x	x	X
ap-6080	95	48	ref	ref	NOUN
ap-6080	95	49	by	by	ADP
ap-6080	95	50	z(x	z(x	PROPN
ap-6080	95	51	,	,	PUNCT
ap-6080	95	52	t	t	PROPN
ap-6080	95	53	)	)	PUNCT
ap-6080	95	54	=	=	SYM
ap-6080	95	55	zref	zref	NOUN
ap-6080	95	56	(	(	PUNCT
ap-6080	95	57	atn+1(a−1	atn+1(a−1	PROPN
ap-6080	95	58	t	t	PROPN
ap-6080	95	59	(	(	PUNCT
ap-6080	95	60	x	x	NOUN
ap-6080	95	61	)	)	PUNCT
ap-6080	95	62	)	)	PUNCT
ap-6080	95	63	)	)	PUNCT
ap-6080	96	1	∀x	∀x	VERB
ap-6080	96	2	∈	∈	PROPN
ap-6080	96	3	ωt	ωt	PROPN
ap-6080	96	4	,	,	PUNCT
ap-6080	96	5	t	t	PROPN
ap-6080	96	6	∈	∈	PROPN
ap-6080	96	7	(	(	PUNCT
ap-6080	96	8	0	0	NUM
ap-6080	96	9	,	,	PUNCT
ap-6080	96	10	t	t	NOUN
ap-6080	96	11	)	)	PUNCT
ap-6080	96	12	.	.	PUNCT
ap-6080	97	1	(	(	PUNCT
ap-6080	97	2	9	9	X
ap-6080	97	3	)	)	PUNCT
ap-6080	97	4	we	we	PRON
ap-6080	97	5	shall	shall	AUX
ap-6080	97	6	denote	denote	VERB
ap-6080	97	7	the	the	DET
ap-6080	97	8	space	space	NOUN
ap-6080	97	9	of	of	ADP
ap-6080	97	10	such	such	ADJ
ap-6080	97	11	test	test	NOUN
ap-6080	97	12	functions	function	NOUN
ap-6080	97	13	by	by	ADP
ap-6080	97	14	x	x	PUNCT
ap-6080	97	15	,	,	PUNCT
ap-6080	97	16	i.e.	i.e.	X
ap-6080	97	17	x	x	X
ap-6080	97	18	=	=	SYM
ap-6080	97	19	{	{	PUNCT
ap-6080	97	20	z	z	NOUN
ap-6080	97	21	:	:	PUNCT
ap-6080	97	22	z	z	NOUN
ap-6080	97	23	satisfy	satisfy	NOUN
ap-6080	97	24	(	(	PUNCT
ap-6080	97	25	9	9	NUM
ap-6080	97	26	)	)	PUNCT
ap-6080	97	27	for	for	ADP
ap-6080	97	28	some	some	DET
ap-6080	97	29	zref	zref	NOUN
ap-6080	97	30	∈	∈	PROPN
ap-6080	97	31	x	x	X
ap-6080	97	32	ref	ref	NOUN
ap-6080	97	33	}	}	PUNCT
ap-6080	97	34	.	.	PUNCT
ap-6080	98	1	(	(	PUNCT
ap-6080	98	2	10	10	NUM
ap-6080	98	3	)	)	PUNCT
ap-6080	98	4	the	the	DET
ap-6080	98	5	space	space	NOUN
ap-6080	98	6	x	x	PUNCT
ap-6080	98	7	is	be	AUX
ap-6080	98	8	for	for	ADP
ap-6080	98	9	any	any	DET
ap-6080	98	10	t	t	NOUN
ap-6080	98	11	subspace	subspace	NOUN
ap-6080	98	12	of	of	ADP
ap-6080	98	13	vt	vt	PROPN
ap-6080	98	14	,	,	PUNCT
ap-6080	98	15	and	and	CCONJ
ap-6080	98	16	the	the	DET
ap-6080	98	17	test	test	NOUN
ap-6080	98	18	functions	function	NOUN
ap-6080	98	19	from	from	ADP
ap-6080	98	20	x	x	SYM
ap-6080	98	21	are	be	AUX
ap-6080	98	22	time	time	NOUN
ap-6080	98	23	independent	independent	ADJ
ap-6080	98	24	when	when	SCONJ
ap-6080	98	25	transformed	transform	VERB
ap-6080	98	26	on	on	ADP
ap-6080	98	27	the	the	DET
ap-6080	98	28	reference	reference	NOUN
ap-6080	98	29	domain	domain	NOUN
ap-6080	98	30	.	.	PUNCT
ap-6080	99	1	this	this	PRON
ap-6080	99	2	means	mean	VERB
ap-6080	99	3	that	that	SCONJ
ap-6080	99	4	their	their	PRON
ap-6080	99	5	ale	ale	NOUN
ap-6080	99	6	derivative	derivative	NOUN
ap-6080	99	7	equals	equal	VERB
ap-6080	99	8	zero	zero	NUM
ap-6080	99	9	,	,	PUNCT
ap-6080	99	10	i.e.	i.e.	X
ap-6080	99	11	for	for	ADP
ap-6080	99	12	z	z	NOUN
ap-6080	99	13	∈	∈	PROPN
ap-6080	99	14	x	x	INTJ
ap-6080	99	15	we	we	PRON
ap-6080	99	16	have	have	VERB
ap-6080	99	17	datz	datz	ADJ
ap-6080	99	18	dt	dt	PUNCT
ap-6080	100	1	=	=	PUNCT
ap-6080	101	1	0	0	PROPN
ap-6080	101	2	.	.	PUNCT
ap-6080	102	1	in	in	ADP
ap-6080	102	2	what	what	PRON
ap-6080	102	3	follows	follow	VERB
ap-6080	102	4	by	by	ADP
ap-6080	102	5	the	the	DET
ap-6080	102	6	symbol	symbol	NOUN
ap-6080	102	7	(	(	PUNCT
ap-6080	102	8	·	·	PUNCT
ap-6080	102	9	,	,	PUNCT
ap-6080	102	10	·	·	PUNCT
ap-6080	102	11	)	)	PUNCT
ap-6080	102	12	m	m	VERB
ap-6080	102	13	the	the	DET
ap-6080	102	14	dot	dot	NOUN
ap-6080	102	15	product	product	NOUN
ap-6080	102	16	in	in	ADP
ap-6080	102	17	l2(m	l2(m	PROPN
ap-6080	102	18	)	)	PUNCT
ap-6080	102	19	or	or	CCONJ
ap-6080	102	20	l2(m	l2(m	PROPN
ap-6080	102	21	)	)	PUNCT
ap-6080	102	22	is	be	AUX
ap-6080	102	23	denoted	denote	VERB
ap-6080	102	24	.	.	PUNCT
ap-6080	103	1	the	the	DET
ap-6080	103	2	weak	weak	ADJ
ap-6080	103	3	form	form	NOUN
ap-6080	103	4	is	be	AUX
ap-6080	103	5	then	then	ADV
ap-6080	103	6	derived	derive	VERB
ap-6080	103	7	in	in	ADP
ap-6080	103	8	the	the	DET
ap-6080	103	9	standard	standard	ADJ
ap-6080	103	10	form	form	NOUN
ap-6080	103	11	:	:	PUNCT
ap-6080	103	12	we	we	PRON
ap-6080	103	13	take	take	VERB
ap-6080	103	14	test	test	NOUN
ap-6080	103	15	157	157	NUM
ap-6080	103	16	petr	petr	PROPN
ap-6080	103	17	sváček	sváček	PROPN
ap-6080	103	18	acta	acta	PROPN
ap-6080	103	19	polytechnica	polytechnica	PROPN
ap-6080	103	20	function	function	NOUN
ap-6080	103	21	v	v	NOUN
ap-6080	103	22	=	=	SYM
ap-6080	103	23	(	(	PUNCT
ap-6080	103	24	z	z	NOUN
ap-6080	103	25	,	,	PUNCT
ap-6080	103	26	q	q	X
ap-6080	103	27	)	)	PUNCT
ap-6080	103	28	∈	∈	NOUN
ap-6080	103	29	x	x	PUNCT
ap-6080	103	30	×qt	×qt	NOUN
ap-6080	103	31	multiply	multiply	VERB
ap-6080	103	32	the	the	DET
ap-6080	103	33	first	first	ADJ
ap-6080	103	34	equation	equation	NOUN
ap-6080	103	35	(	(	PUNCT
ap-6080	103	36	1	1	NUM
ap-6080	103	37	)	)	PUNCT
ap-6080	103	38	by	by	ADP
ap-6080	103	39	test	test	NOUN
ap-6080	103	40	functions	function	NOUN
ap-6080	103	41	z	z	PROPN
ap-6080	103	42	and	and	CCONJ
ap-6080	103	43	the	the	DET
ap-6080	103	44	second	second	ADJ
ap-6080	103	45	by	by	ADP
ap-6080	103	46	q	q	NOUN
ap-6080	103	47	,	,	PUNCT
ap-6080	103	48	sum	sum	VERB
ap-6080	103	49	together	together	ADV
ap-6080	103	50	,	,	PUNCT
ap-6080	103	51	integrate	integrate	VERB
ap-6080	103	52	over	over	ADP
ap-6080	103	53	ωt	ωt	NOUN
ap-6080	103	54	and	and	CCONJ
ap-6080	103	55	use	use	VERB
ap-6080	103	56	green	green	PROPN
ap-6080	103	57	’s	’s	PART
ap-6080	103	58	theorem	theorem	NOUN
ap-6080	103	59	for	for	ADP
ap-6080	103	60	viscous	viscous	ADJ
ap-6080	103	61	terms	term	NOUN
ap-6080	103	62	and	and	CCONJ
ap-6080	103	63	the	the	DET
ap-6080	103	64	pressure	pressure	NOUN
ap-6080	103	65	gradient	gradient	NOUN
ap-6080	103	66	.	.	PUNCT
ap-6080	104	1	thus	thus	ADV
ap-6080	104	2	we	we	PRON
ap-6080	104	3	arrive	arrive	VERB
ap-6080	104	4	to	to	ADP
ap-6080	104	5	the	the	DET
ap-6080	104	6	weak	weak	ADJ
ap-6080	104	7	form	form	NOUN
ap-6080	104	8	:	:	PUNCT
ap-6080	104	9	find	find	VERB
ap-6080	104	10	u	u	PRON
ap-6080	104	11	=	=	SYM
ap-6080	104	12	(	(	PUNCT
ap-6080	104	13	u	u	NOUN
ap-6080	104	14	,	,	PUNCT
ap-6080	104	15	p	p	NOUN
ap-6080	104	16	)	)	PUNCT
ap-6080	104	17	∈	∈	PROPN
ap-6080	104	18	wt	wt	ADP
ap-6080	104	19	such	such	ADJ
ap-6080	104	20	that	that	PRON
ap-6080	104	21	for	for	ADP
ap-6080	104	22	any	any	DET
ap-6080	104	23	t	t	NOUN
ap-6080	104	24	∈	∈	PROPN
ap-6080	104	25	(	(	PUNCT
ap-6080	104	26	0	0	NUM
ap-6080	104	27	,	,	PUNCT
ap-6080	104	28	t	t	NOUN
ap-6080	104	29	)	)	PUNCT
ap-6080	104	30	u	u	NOUN
ap-6080	104	31	satisfy	satisfy	VERB
ap-6080	104	32	the	the	DET
ap-6080	104	33	boundary	boundary	ADJ
ap-6080	104	34	condition	condition	NOUN
ap-6080	104	35	(	(	PUNCT
ap-6080	104	36	2a	2a	NUM
ap-6080	104	37	)	)	PUNCT
ap-6080	104	38	and	and	CCONJ
ap-6080	104	39	d	d	ADP
ap-6080	104	40	dt	dt	X
ap-6080	104	41	(	(	PUNCT
ap-6080	104	42	ρu	ρu	ADP
ap-6080	104	43	,	,	PUNCT
ap-6080	104	44	z)ωt	z)ωt	PROPN
ap-6080	104	45	+	+	NUM
ap-6080	104	46	c(u	c(u	PROPN
ap-6080	104	47	;	;	PUNCT
ap-6080	104	48	u	u	NOUN
ap-6080	104	49	,	,	PUNCT
ap-6080	104	50	v	v	NOUN
ap-6080	104	51	)	)	PUNCT
ap-6080	104	52	+	+	CCONJ
ap-6080	105	1	b(u	b(u	PROPN
ap-6080	105	2	;	;	PUNCT
ap-6080	105	3	u	u	NOUN
ap-6080	105	4	,	,	PUNCT
ap-6080	105	5	v	v	NOUN
ap-6080	105	6	)	)	PUNCT
ap-6080	105	7	(	(	PUNCT
ap-6080	105	8	11	11	NUM
ap-6080	105	9	)	)	PUNCT
ap-6080	105	10	b(u	b(u	PROPN
ap-6080	105	11	,	,	PUNCT
ap-6080	105	12	v	v	NOUN
ap-6080	105	13	)	)	PUNCT
ap-6080	105	14	+	+	CCONJ
ap-6080	106	1	b∗(u	b∗(u	NUM
ap-6080	106	2	,	,	PUNCT
ap-6080	106	3	v	v	NOUN
ap-6080	106	4	)	)	PUNCT
ap-6080	106	5	+	+	CCONJ
ap-6080	106	6	d(u	d(u	PROPN
ap-6080	106	7	,	,	PUNCT
ap-6080	106	8	v	v	NOUN
ap-6080	106	9	)	)	PUNCT
ap-6080	106	10	=	=	NOUN
ap-6080	106	11	lγ(v	lγ(v	X
ap-6080	106	12	)	)	PUNCT
ap-6080	106	13	,	,	PUNCT
ap-6080	106	14	holds	hold	VERB
ap-6080	106	15	for	for	ADP
ap-6080	106	16	any	any	DET
ap-6080	106	17	v	v	NOUN
ap-6080	106	18	=	=	SYM
ap-6080	106	19	(	(	PUNCT
ap-6080	106	20	z	z	NOUN
ap-6080	106	21	,	,	PUNCT
ap-6080	106	22	q	q	X
ap-6080	106	23	)	)	PUNCT
ap-6080	106	24	∈	∈	PROPN
ap-6080	106	25	x	x	SYM
ap-6080	106	26	×	×	NOUN
ap-6080	106	27	qt	qt	NOUN
ap-6080	106	28	.	.	PUNCT
ap-6080	107	1	the	the	DET
ap-6080	107	2	forms	form	NOUN
ap-6080	107	3	in	in	ADP
ap-6080	107	4	eq	eq	ADP
ap-6080	107	5	.	.	PUNCT
ap-6080	108	1	(	(	PUNCT
ap-6080	108	2	11	11	NUM
ap-6080	108	3	)	)	PUNCT
ap-6080	108	4	are	be	AUX
ap-6080	108	5	defined	define	VERB
ap-6080	108	6	for	for	ADP
ap-6080	108	7	any	any	DET
ap-6080	108	8	u	u	NOUN
ap-6080	108	9	=	=	PUNCT
ap-6080	108	10	(	(	PUNCT
ap-6080	108	11	u	u	NOUN
ap-6080	108	12	,	,	PUNCT
ap-6080	108	13	p	p	NOUN
ap-6080	108	14	)	)	PUNCT
ap-6080	108	15	∈wt	∈wt	PROPN
ap-6080	108	16	,	,	PUNCT
ap-6080	108	17	u	u	NOUN
ap-6080	108	18	=	=	SYM
ap-6080	108	19	(	(	PUNCT
ap-6080	108	20	u	u	NOUN
ap-6080	108	21	,	,	PUNCT
ap-6080	108	22	p	p	NOUN
ap-6080	108	23	)	)	PUNCT
ap-6080	108	24	∈wt	∈wt	PROPN
ap-6080	108	25	and	and	CCONJ
ap-6080	108	26	v	v	NOUN
ap-6080	108	27	=	=	SYM
ap-6080	108	28	(	(	PUNCT
ap-6080	108	29	z	z	NOUN
ap-6080	108	30	,	,	PUNCT
ap-6080	108	31	q	q	X
ap-6080	108	32	)	)	PUNCT
ap-6080	108	33	∈	∈	PROPN
ap-6080	108	34	x	x	X
ap-6080	108	35	×qt	×qt	NOUN
ap-6080	108	36	as	as	SCONJ
ap-6080	108	37	follows	follow	VERB
ap-6080	108	38	:	:	PUNCT
ap-6080	108	39	the	the	DET
ap-6080	108	40	form	form	NOUN
ap-6080	108	41	d	d	X
ap-6080	108	42	in	in	ADP
ap-6080	108	43	eq	eq	ADP
ap-6080	108	44	.	.	PUNCT
ap-6080	109	1	(	(	PUNCT
ap-6080	109	2	11	11	NUM
ap-6080	109	3	)	)	PUNCT
ap-6080	109	4	is	be	AUX
ap-6080	109	5	defined	define	VERB
ap-6080	109	6	by	by	ADP
ap-6080	109	7	b(u	b(u	PROPN
ap-6080	109	8	,	,	PUNCT
ap-6080	109	9	v	v	NOUN
ap-6080	109	10	)	)	PUNCT
ap-6080	109	11	=	=	SYM
ap-6080	109	12	(	(	PUNCT
ap-6080	109	13	∇	∇	X
ap-6080	109	14	·	·	PUNCT
ap-6080	109	15	u	u	NOUN
ap-6080	109	16	,	,	PUNCT
ap-6080	109	17	q)ωt	q)ωt	PROPN
ap-6080	109	18	,	,	PUNCT
ap-6080	109	19	b∗(u	b∗(u	PROPN
ap-6080	109	20	,	,	PUNCT
ap-6080	109	21	v	v	NOUN
ap-6080	109	22	)	)	PUNCT
ap-6080	110	1	=	=	VERB
ap-6080	110	2	−(∇	−(∇	X
ap-6080	110	3	·	·	PUNCT
ap-6080	110	4	z	z	X
ap-6080	110	5	,	,	PUNCT
ap-6080	110	6	p)ωt	p)ωt	PROPN
ap-6080	110	7	,	,	PUNCT
ap-6080	110	8	d(u	d(u	PROPN
ap-6080	110	9	,	,	PUNCT
ap-6080	110	10	v	v	NOUN
ap-6080	110	11	)	)	PUNCT
ap-6080	110	12	=	=	SYM
ap-6080	110	13	∫	∫	PROPN
ap-6080	110	14	ωt	ωt	ADP
ap-6080	110	15	2µdij(u)dij(z)dx	2µdij(u)dij(z)dx	NUM
ap-6080	110	16	the	the	DET
ap-6080	110	17	boundary	boundary	ADJ
ap-6080	110	18	forms	form	NOUN
ap-6080	110	19	b	b	NOUN
ap-6080	110	20	,	,	PUNCT
ap-6080	110	21	lγ	lγ	ADP
ap-6080	110	22	are	be	AUX
ap-6080	110	23	given	give	VERB
ap-6080	110	24	as	as	ADP
ap-6080	110	25	b(u	b(u	PROPN
ap-6080	110	26	;	;	PUNCT
ap-6080	110	27	u	u	NOUN
ap-6080	110	28	,	,	PUNCT
ap-6080	110	29	v	v	NOUN
ap-6080	110	30	)	)	PUNCT
ap-6080	110	31	=	=	SYM
ap-6080	110	32	1	1	NUM
ap-6080	110	33	ε	ε	PROPN
ap-6080	110	34	(	(	PUNCT
ap-6080	110	35	u	u	NOUN
ap-6080	110	36	,	,	PUNCT
ap-6080	110	37	z)γi	z)γi	PROPN
ap-6080	110	38	+	+	CCONJ
ap-6080	110	39	(	(	PUNCT
ap-6080	110	40	ρ	ρ	PROPN
ap-6080	110	41	2(u	2(u	NUM
ap-6080	110	42	·	·	PUNCT
ap-6080	110	43	n)+u	n)+u	PROPN
ap-6080	110	44	,	,	PUNCT
ap-6080	110	45	z	z	NOUN
ap-6080	110	46	)	)	PUNCT
ap-6080	110	47	γi∪γo	γi∪γo	NUM
ap-6080	110	48	lγ(v	lγ(v	X
ap-6080	110	49	)	)	PUNCT
ap-6080	111	1	=	=	SYM
ap-6080	111	2	1	1	NUM
ap-6080	111	3	ε	ε	PROPN
ap-6080	111	4	(	(	PUNCT
ap-6080	111	5	ui	ui	PROPN
ap-6080	111	6	,	,	PUNCT
ap-6080	111	7	z)γi	z)γi	PROPN
ap-6080	111	8	−	−	NOUN
ap-6080	111	9	∫	∫	PROPN
ap-6080	111	10	γo	γo	ADP
ap-6080	111	11	pref	pref	PROPN
ap-6080	111	12	(	(	PUNCT
ap-6080	111	13	n	n	X
ap-6080	111	14	·	·	PUNCT
ap-6080	111	15	z)ds	z)ds	PROPN
ap-6080	111	16	and	and	CCONJ
ap-6080	111	17	the	the	DET
ap-6080	111	18	convective	convective	ADJ
ap-6080	111	19	term	term	NOUN
ap-6080	111	20	is	be	AUX
ap-6080	111	21	given	give	VERB
ap-6080	111	22	by	by	ADP
ap-6080	111	23	the	the	DET
ap-6080	111	24	skewsymmetric	skewsymmetric	ADJ
ap-6080	111	25	trilinear	trilinear	NOUN
ap-6080	111	26	form	form	NOUN
ap-6080	111	27	c	c	NOUN
ap-6080	111	28	(	(	PUNCT
ap-6080	111	29	here	here	ADV
ap-6080	111	30	we	we	PRON
ap-6080	111	31	abbreviate	abbreviate	VERB
ap-6080	111	32	w	w	NOUN
ap-6080	111	33	=	=	SYM
ap-6080	111	34	u−wd	u−wd	NOUN
ap-6080	111	35	)	)	PUNCT
ap-6080	111	36	c(u	c(u	PROPN
ap-6080	111	37	;	;	PUNCT
ap-6080	111	38	u	u	NOUN
ap-6080	111	39	,	,	PUNCT
ap-6080	111	40	v	v	NOUN
ap-6080	111	41	)	)	PUNCT
ap-6080	111	42	=	=	SYM
ap-6080	111	43	(	(	PUNCT
ap-6080	111	44	ρ	ρ	PROPN
ap-6080	111	45	2	2	NUM
ap-6080	111	46	(	(	PUNCT
ap-6080	111	47	(	(	PUNCT
ap-6080	111	48	w	w	PROPN
ap-6080	111	49	·	·	PUNCT
ap-6080	111	50	∇)u	∇)u	PROPN
ap-6080	111	51	,	,	PUNCT
ap-6080	111	52	z	z	NOUN
ap-6080	111	53	)	)	PUNCT
ap-6080	111	54	ωt	ωt	ADP
ap-6080	111	55	−	−	PROPN
ap-6080	111	56	(	(	PUNCT
ap-6080	111	57	ρ	ρ	PROPN
ap-6080	111	58	2	2	NUM
ap-6080	111	59	(	(	PUNCT
ap-6080	111	60	(	(	PUNCT
ap-6080	111	61	w	w	PROPN
ap-6080	111	62	·	·	PUNCT
ap-6080	111	63	∇)z	∇)z	PROPN
ap-6080	111	64	,	,	PUNCT
ap-6080	111	65	u	u	NOUN
ap-6080	111	66	)	)	PUNCT
ap-6080	111	67	ωt	ωt	ADP
ap-6080	111	68	−	−	PROPN
ap-6080	111	69	(	(	PUNCT
ap-6080	111	70	ρ	ρ	PROPN
ap-6080	111	71	2	2	NUM
ap-6080	111	72	(	(	PUNCT
ap-6080	111	73	∇	∇	X
ap-6080	111	74	·	·	PUNCT
ap-6080	111	75	wd)u	wd)u	PROPN
ap-6080	111	76	,	,	PUNCT
ap-6080	111	77	z	z	NOUN
ap-6080	111	78	)	)	PUNCT
ap-6080	111	79	ωt	ωt	PROPN
ap-6080	111	80	.	.	PUNCT
ap-6080	112	1	the	the	DET
ap-6080	112	2	time	time	NOUN
ap-6080	112	3	derivative	derivative	ADJ
ap-6080	112	4	terms	term	NOUN
ap-6080	112	5	arises	arise	VERB
ap-6080	112	6	from	from	ADP
ap-6080	112	7	the	the	DET
ap-6080	112	8	identity∫	identity∫	NOUN
ap-6080	112	9	ωt	ωt	ADP
ap-6080	112	10	1	1	NUM
ap-6080	112	11	ja	ja	PROPN
ap-6080	112	12	da(jau	da(jau	NOUN
ap-6080	112	13	)	)	PUNCT
ap-6080	112	14	dt	dt	X
ap-6080	112	15	·	·	PUNCT
ap-6080	112	16	zdx	zdx	PROPN
ap-6080	113	1	=	=	SYM
ap-6080	113	2	d	d	NOUN
ap-6080	113	3	dt	dt	X
ap-6080	113	4	(	(	PUNCT
ap-6080	113	5	u	u	NOUN
ap-6080	113	6	,	,	PUNCT
ap-6080	113	7	z)ωt	z)ωt	PROPN
ap-6080	113	8	,	,	PUNCT
ap-6080	113	9	(	(	PUNCT
ap-6080	113	10	12	12	NUM
ap-6080	113	11	)	)	PUNCT
ap-6080	113	12	which	which	PRON
ap-6080	113	13	follows	follow	VERB
ap-6080	113	14	from	from	ADP
ap-6080	113	15	(	(	PUNCT
ap-6080	113	16	see	see	VERB
ap-6080	113	17	[	[	X
ap-6080	113	18	8	8	NUM
ap-6080	113	19	]	]	SYM
ap-6080	113	20	)	)	PUNCT
ap-6080	113	21	daja	daja	PROPN
ap-6080	113	22	dt	dt	PROPN
ap-6080	114	1	=	=	SYM
ap-6080	114	2	ja(divwd	ja(divwd	PROPN
ap-6080	114	3	)	)	PUNCT
ap-6080	114	4	.	.	PUNCT
ap-6080	115	1	(	(	PUNCT
ap-6080	115	2	13	13	NUM
ap-6080	115	3	)	)	PUNCT
ap-6080	115	4	in	in	ADP
ap-6080	115	5	what	what	PRON
ap-6080	115	6	follows	follow	VERB
ap-6080	115	7	an	an	DET
ap-6080	115	8	equivalent	equivalent	ADJ
ap-6080	115	9	integral	integral	ADJ
ap-6080	115	10	form	form	NOUN
ap-6080	115	11	of	of	ADP
ap-6080	115	12	equation	equation	NOUN
ap-6080	115	13	(	(	PUNCT
ap-6080	115	14	13	13	NUM
ap-6080	115	15	)	)	PUNCT
ap-6080	115	16	shall	shall	AUX
ap-6080	115	17	be	be	AUX
ap-6080	115	18	used	use	VERB
ap-6080	115	19	in	in	ADP
ap-6080	115	20	the	the	DET
ap-6080	115	21	form	form	NOUN
ap-6080	115	22	d	d	X
ap-6080	115	23	dt	dt	X
ap-6080	115	24	(	(	PUNCT
ap-6080	115	25	∫	∫	PROPN
ap-6080	115	26	vt	vt	PROPN
ap-6080	115	27	dx	dx	PROPN
ap-6080	115	28	)	)	PUNCT
ap-6080	116	1	=	=	PUNCT
ap-6080	116	2	∫	∫	PROPN
ap-6080	116	3	∂vt	∂vt	PROPN
ap-6080	116	4	wd	wd	PROPN
ap-6080	116	5	·	·	PUNCT
ap-6080	116	6	nds	nds	PROPN
ap-6080	116	7	(	(	PUNCT
ap-6080	116	8	14	14	NUM
ap-6080	116	9	)	)	PUNCT
ap-6080	116	10	for	for	ADP
ap-6080	116	11	any	any	DET
ap-6080	116	12	volume	volume	NOUN
ap-6080	116	13	vt	vt	INTJ
ap-6080	116	14	whose	whose	DET
ap-6080	116	15	motion	motion	NOUN
ap-6080	116	16	is	be	AUX
ap-6080	116	17	fully	fully	ADV
ap-6080	116	18	determined	determine	VERB
ap-6080	116	19	by	by	ADP
ap-6080	116	20	the	the	DET
ap-6080	116	21	ale	ale	NOUN
ap-6080	116	22	mapping	mapping	NOUN
ap-6080	116	23	,	,	PUNCT
ap-6080	116	24	i.e.	i.e.	X
ap-6080	116	25	vt	vt	PROPN
ap-6080	116	26	=	=	PROPN
ap-6080	116	27	at(vref0	at(vref0	PROPN
ap-6080	116	28	)	)	PUNCT
ap-6080	116	29	.	.	PUNCT
ap-6080	117	1	3.2	3.2	NUM
ap-6080	117	2	.	.	PUNCT
ap-6080	117	3	time	time	NOUN
ap-6080	117	4	discretization	discretization	NOUN
ap-6080	117	5	for	for	ADP
ap-6080	117	6	the	the	DET
ap-6080	117	7	purpose	purpose	NOUN
ap-6080	117	8	of	of	ADP
ap-6080	117	9	time	time	NOUN
ap-6080	117	10	discretization	discretization	VERB
ap-6080	117	11	an	an	DET
ap-6080	117	12	equidistant	equidistant	ADJ
ap-6080	117	13	partition	partition	NOUN
ap-6080	117	14	tj	tj	NOUN
ap-6080	117	15	=	=	PUNCT
ap-6080	117	16	j∆t	j∆t	NOUN
ap-6080	117	17	of	of	ADP
ap-6080	117	18	the	the	DET
ap-6080	117	19	time	time	NOUN
ap-6080	117	20	interval	interval	NOUN
ap-6080	117	21	i	i	PRON
ap-6080	117	22	with	with	ADP
ap-6080	117	23	the	the	DET
ap-6080	117	24	constant	constant	ADJ
ap-6080	117	25	time	time	NOUN
ap-6080	117	26	step	step	NOUN
ap-6080	117	27	∆t	∆t	PROPN
ap-6080	117	28	>	>	SYM
ap-6080	117	29	0	0	NUM
ap-6080	117	30	is	be	AUX
ap-6080	117	31	considered	consider	VERB
ap-6080	117	32	and	and	CCONJ
ap-6080	117	33	we	we	PRON
ap-6080	117	34	denote	denote	VERB
ap-6080	117	35	the	the	DET
ap-6080	117	36	approximations	approximation	NOUN
ap-6080	117	37	of	of	ADP
ap-6080	117	38	velocity	velocity	NOUN
ap-6080	117	39	and	and	CCONJ
ap-6080	117	40	pressure	pressure	NOUN
ap-6080	117	41	by	by	ADP
ap-6080	117	42	uj	uj	PROPN
ap-6080	117	43	≈	≈	PROPN
ap-6080	117	44	u	u	PROPN
ap-6080	117	45	(	(	PUNCT
ap-6080	117	46	·	·	PUNCT
ap-6080	117	47	,	,	PUNCT
ap-6080	117	48	tj	tj	NOUN
ap-6080	117	49	)	)	PUNCT
ap-6080	117	50	and	and	CCONJ
ap-6080	117	51	pj	pj	PROPN
ap-6080	117	52	≈	≈	PROPN
ap-6080	117	53	p	p	PROPN
ap-6080	117	54	(	(	PUNCT
ap-6080	117	55	·	·	PUNCT
ap-6080	117	56	,	,	PUNCT
ap-6080	117	57	tj	tj	NOUN
ap-6080	117	58	)	)	PUNCT
ap-6080	117	59	for	for	ADP
ap-6080	117	60	j	j	PROPN
ap-6080	117	61	=	=	SYM
ap-6080	117	62	0	0	PROPN
ap-6080	117	63	,	,	PUNCT
ap-6080	117	64	1	1	NUM
ap-6080	117	65	,	,	PUNCT
ap-6080	117	66	.	.	PUNCT
ap-6080	117	67	.	.	PUNCT
ap-6080	118	1	.	.	PUNCT
ap-6080	119	1	,	,	PUNCT
ap-6080	119	2	uj	uj	PROPN
ap-6080	119	3	∈	∈	PROPN
ap-6080	119	4	vtj	vtj	NOUN
ap-6080	119	5	and	and	CCONJ
ap-6080	119	6	pj	pj	PROPN
ap-6080	119	7	∈.	∈.	PROPN
ap-6080	119	8	similarly	similarly	ADV
ap-6080	119	9	,	,	PUNCT
ap-6080	119	10	by	by	ADP
ap-6080	119	11	jaj	jaj	PROPN
ap-6080	119	12	and	and	CCONJ
ap-6080	119	13	wj	wj	PROPN
ap-6080	120	1	d	d	PROPN
ap-6080	120	2	the	the	DET
ap-6080	120	3	jacobian	jacobian	NOUN
ap-6080	120	4	of	of	ADP
ap-6080	120	5	the	the	DET
ap-6080	120	6	ale	ale	NOUN
ap-6080	120	7	mapping	mapping	NOUN
ap-6080	120	8	at	at	ADP
ap-6080	120	9	at	at	ADP
ap-6080	120	10	time	time	NOUN
ap-6080	120	11	instant	instant	ADJ
ap-6080	120	12	tj	tj	NOUN
ap-6080	120	13	and	and	CCONJ
ap-6080	120	14	the	the	DET
ap-6080	120	15	domain	domain	NOUN
ap-6080	120	16	velocity	velocity	NOUN
ap-6080	120	17	at	at	ADP
ap-6080	120	18	time	time	NOUN
ap-6080	120	19	instant	instant	ADJ
ap-6080	120	20	tj	tj	PROPN
ap-6080	120	21	is	be	AUX
ap-6080	120	22	denoted	denote	VERB
ap-6080	120	23	.	.	PUNCT
ap-6080	121	1	in	in	ADP
ap-6080	121	2	what	what	PRON
ap-6080	121	3	follows	follow	VERB
ap-6080	121	4	we	we	PRON
ap-6080	121	5	shall	shall	AUX
ap-6080	121	6	describe	describe	VERB
ap-6080	121	7	the	the	DET
ap-6080	121	8	discretization	discretization	NOUN
ap-6080	121	9	at	at	ADP
ap-6080	121	10	a	a	DET
ap-6080	121	11	fixed	fix	VERB
ap-6080	121	12	time	time	NOUN
ap-6080	121	13	instant	instant	ADJ
ap-6080	121	14	tn+1	tn+1	NOUN
ap-6080	121	15	.	.	PUNCT
ap-6080	122	1	the	the	DET
ap-6080	122	2	time	time	NOUN
ap-6080	122	3	derivative	derivative	ADJ
ap-6080	122	4	on	on	ADP
ap-6080	122	5	the	the	DET
ap-6080	122	6	right	right	ADJ
ap-6080	122	7	hand	hand	NOUN
ap-6080	122	8	side	side	NOUN
ap-6080	122	9	of	of	ADP
ap-6080	122	10	equation	equation	NOUN
ap-6080	122	11	(	(	PUNCT
ap-6080	122	12	12	12	NUM
ap-6080	122	13	)	)	PUNCT
ap-6080	122	14	is	be	AUX
ap-6080	122	15	approximated	approximate	VERB
ap-6080	122	16	at	at	ADP
ap-6080	122	17	t	t	NOUN
ap-6080	122	18	=	=	PUNCT
ap-6080	122	19	tn+1	tn+1	PROPN
ap-6080	122	20	formally	formally	ADV
ap-6080	122	21	by	by	ADP
ap-6080	122	22	the	the	DET
ap-6080	122	23	second	second	ADJ
ap-6080	122	24	order	order	NOUN
ap-6080	122	25	backward	backward	ADJ
ap-6080	122	26	difference	difference	NOUN
ap-6080	122	27	formula	formula	NOUN
ap-6080	122	28	1	1	NUM
ap-6080	122	29	ja	ja	PROPN
ap-6080	122	30	da(jau	da(jau	NOUN
ap-6080	122	31	)	)	PUNCT
ap-6080	122	32	dt	dt	X
ap-6080	122	33	|tn+1	|tn+1	PROPN
ap-6080	122	34	≈	≈	PROPN
ap-6080	122	35	(	(	PUNCT
ap-6080	122	36	15	15	NUM
ap-6080	122	37	)	)	SYM
ap-6080	122	38	1	1	NUM
ap-6080	122	39	jan+1	jan+1	PROPN
ap-6080	122	40	3jan+1u	3jan+1u	NUM
ap-6080	122	41	n+1	n+1	PROPN
ap-6080	122	42	−	−	PROPN
ap-6080	122	43	4jan	4jan	NUM
ap-6080	122	44	un	un	PROPN
ap-6080	122	45	+	+	CCONJ
ap-6080	122	46	jan−1u	jan−1u	PROPN
ap-6080	122	47	n−1	n−1	PROPN
ap-6080	122	48	2∆t	2∆t	NUM
ap-6080	122	49	or	or	CCONJ
ap-6080	122	50	more	more	ADJ
ap-6080	122	51	precisely	precisely	ADV
ap-6080	122	52	the	the	DET
ap-6080	122	53	time	time	NOUN
ap-6080	122	54	derivative	derivative	ADJ
ap-6080	122	55	term	term	NOUN
ap-6080	122	56	from	from	ADP
ap-6080	122	57	(	(	PUNCT
ap-6080	122	58	11	11	NUM
ap-6080	122	59	)	)	PUNCT
ap-6080	122	60	is	be	AUX
ap-6080	122	61	approximated	approximate	VERB
ap-6080	122	62	by	by	ADP
ap-6080	122	63	d	d	PROPN
ap-6080	122	64	dt	dt	X
ap-6080	122	65	(	(	PUNCT
ap-6080	122	66	∫	∫	PROPN
ap-6080	122	67	ωt	ωt	ADP
ap-6080	122	68	ρu	ρu	PROPN
ap-6080	122	69	·	·	PUNCT
ap-6080	122	70	zdx	zdx	NUM
ap-6080	122	71	)	)	PUNCT
ap-6080	122	72	|tn+1	|tn+1	PROPN
ap-6080	122	73	≈m(u	≈m(u	NOUN
ap-6080	122	74	,	,	PUNCT
ap-6080	122	75	v	v	NOUN
ap-6080	122	76	)	)	PUNCT
ap-6080	122	77	−	−	PROPN
ap-6080	123	1	lm	lm	INTJ
ap-6080	123	2	(	(	PUNCT
ap-6080	123	3	v	v	NOUN
ap-6080	123	4	)	)	PUNCT
ap-6080	123	5	(	(	PUNCT
ap-6080	123	6	16	16	NUM
ap-6080	123	7	)	)	PUNCT
ap-6080	123	8	for	for	ADP
ap-6080	123	9	u	u	NOUN
ap-6080	123	10	=	=	SYM
ap-6080	123	11	(	(	PUNCT
ap-6080	123	12	u	u	NOUN
ap-6080	123	13	,	,	PUNCT
ap-6080	123	14	p	p	NOUN
ap-6080	123	15	)	)	PUNCT
ap-6080	123	16	:	:	PUNCT
ap-6080	123	17	=	=	SYM
ap-6080	123	18	(	(	PUNCT
ap-6080	123	19	un+1	un+1	PROPN
ap-6080	123	20	,	,	PUNCT
ap-6080	123	21	pn+1	pn+1	NOUN
ap-6080	123	22	)	)	PUNCT
ap-6080	123	23	,	,	PUNCT
ap-6080	123	24	v	v	X
ap-6080	123	25	=	=	SYM
ap-6080	123	26	(	(	PUNCT
ap-6080	123	27	z	z	NOUN
ap-6080	123	28	,	,	PUNCT
ap-6080	123	29	q	q	NOUN
ap-6080	123	30	)	)	PUNCT
ap-6080	123	31	and	and	CCONJ
ap-6080	123	32	with	with	ADP
ap-6080	123	33	m(u	m(u	PROPN
ap-6080	123	34	,	,	PUNCT
ap-6080	123	35	v	v	NOUN
ap-6080	123	36	)	)	PUNCT
ap-6080	123	37	=	=	SYM
ap-6080	123	38	3	3	NUM
ap-6080	123	39	2∆t	2∆t	NUM
ap-6080	123	40	(	(	PUNCT
ap-6080	123	41	un+1	un+1	PROPN
ap-6080	123	42	,	,	PUNCT
ap-6080	123	43	z	z	NOUN
ap-6080	123	44	)	)	PUNCT
ap-6080	123	45	ωtn+1	ωtn+1	NOUN
ap-6080	123	46	,	,	PUNCT
ap-6080	123	47	(	(	PUNCT
ap-6080	123	48	17	17	NUM
ap-6080	123	49	)	)	PUNCT
ap-6080	123	50	lm	lm	INTJ
ap-6080	124	1	(	(	PUNCT
ap-6080	124	2	v	v	NOUN
ap-6080	124	3	)	)	PUNCT
ap-6080	124	4	=	=	SYM
ap-6080	124	5	2	2	NUM
ap-6080	124	6	∆t	∆t	PROPN
ap-6080	124	7	(	(	PUNCT
ap-6080	124	8	un	un	PROPN
ap-6080	124	9	,	,	PUNCT
ap-6080	124	10	z)ωtn	z)ωtn	NOUN
ap-6080	124	11	−	−	NOUN
ap-6080	124	12	1	1	NUM
ap-6080	124	13	2∆t	2∆t	NUM
ap-6080	124	14	(	(	PUNCT
ap-6080	124	15	un−1	un−1	PROPN
ap-6080	124	16	,	,	PUNCT
ap-6080	124	17	z	z	NOUN
ap-6080	124	18	)	)	PUNCT
ap-6080	124	19	ωtn−1	ωtn−1	PROPN
ap-6080	124	20	(	(	PUNCT
ap-6080	124	21	18	18	NUM
ap-6080	124	22	)	)	PUNCT
ap-6080	124	23	where	where	SCONJ
ap-6080	124	24	the	the	DET
ap-6080	124	25	test	test	NOUN
ap-6080	124	26	function	function	NOUN
ap-6080	124	27	z	z	PROPN
ap-6080	124	28	∈	∈	PROPN
ap-6080	124	29	x	x	X
ap-6080	124	30	is	be	AUX
ap-6080	124	31	a	a	DET
ap-6080	124	32	time	time	NOUN
ap-6080	124	33	dependent	dependent	ADJ
ap-6080	124	34	function	function	NOUN
ap-6080	124	35	defined	define	VERB
ap-6080	124	36	by	by	ADP
ap-6080	124	37	(	(	PUNCT
ap-6080	124	38	9	9	NUM
ap-6080	124	39	)	)	PUNCT
ap-6080	124	40	with	with	ADP
ap-6080	124	41	a	a	DET
ap-6080	124	42	given	give	VERB
ap-6080	124	43	steady	steady	ADJ
ap-6080	124	44	reference	reference	NOUN
ap-6080	124	45	function	function	NOUN
ap-6080	124	46	.	.	PUNCT
ap-6080	125	1	thus	thus	ADV
ap-6080	125	2	,	,	PUNCT
ap-6080	125	3	the	the	DET
ap-6080	125	4	time	time	NOUN
ap-6080	125	5	discretized	discretize	VERB
ap-6080	125	6	weak	weak	ADJ
ap-6080	125	7	formulation	formulation	NOUN
ap-6080	125	8	reads	read	NOUN
ap-6080	125	9	:	:	PUNCT
ap-6080	125	10	find	find	VERB
ap-6080	125	11	u	u	PRON
ap-6080	125	12	=	=	SYM
ap-6080	125	13	(	(	PUNCT
ap-6080	125	14	u	u	NOUN
ap-6080	125	15	,	,	PUNCT
ap-6080	125	16	p	p	NOUN
ap-6080	125	17	)	)	PUNCT
ap-6080	125	18	:	:	PUNCT
ap-6080	125	19	=	=	SYM
ap-6080	125	20	(	(	PUNCT
ap-6080	125	21	un+1	un+1	PROPN
ap-6080	125	22	,	,	PUNCT
ap-6080	125	23	pn+1	pn+1	NOUN
ap-6080	125	24	)	)	PUNCT
ap-6080	125	25	such	such	ADJ
ap-6080	125	26	that	that	SCONJ
ap-6080	125	27	u	u	PRON
ap-6080	125	28	satisfy	satisfy	VERB
ap-6080	125	29	the	the	DET
ap-6080	125	30	boundary	boundary	ADJ
ap-6080	125	31	condition	condition	NOUN
ap-6080	125	32	(	(	PUNCT
ap-6080	125	33	2a	2a	NUM
ap-6080	125	34	)	)	PUNCT
ap-6080	125	35	and	and	CCONJ
ap-6080	125	36	a(u	a(u	PROPN
ap-6080	125	37	;	;	PUNCT
ap-6080	125	38	u	u	NOUN
ap-6080	125	39	,	,	PUNCT
ap-6080	125	40	v	v	NOUN
ap-6080	125	41	)	)	PUNCT
ap-6080	125	42	=	=	SYM
ap-6080	125	43	l(v	l(v	NOUN
ap-6080	125	44	)	)	PUNCT
ap-6080	125	45	(	(	PUNCT
ap-6080	125	46	19	19	NUM
ap-6080	125	47	)	)	PUNCT
ap-6080	125	48	holds	hold	VERB
ap-6080	125	49	for	for	ADP
ap-6080	125	50	any	any	DET
ap-6080	125	51	v	v	NOUN
ap-6080	125	52	=	=	SYM
ap-6080	125	53	(	(	PUNCT
ap-6080	125	54	z	z	NOUN
ap-6080	125	55	,	,	PUNCT
ap-6080	125	56	q	q	X
ap-6080	125	57	)	)	PUNCT
ap-6080	125	58	∈	∈	NOUN
ap-6080	125	59	x	x	SYM
ap-6080	125	60	×qtn+1	×qtn+1	PROPN
ap-6080	125	61	,	,	PUNCT
ap-6080	125	62	where	where	SCONJ
ap-6080	125	63	a(u	a(u	PROPN
ap-6080	125	64	;	;	PUNCT
ap-6080	125	65	u	u	NOUN
ap-6080	125	66	,	,	PUNCT
ap-6080	125	67	v	v	NOUN
ap-6080	125	68	)	)	PUNCT
ap-6080	125	69	=	=	SYM
ap-6080	125	70	m(u	m(u	PROPN
ap-6080	125	71	,	,	PUNCT
ap-6080	125	72	v	v	NOUN
ap-6080	125	73	)	)	PUNCT
ap-6080	126	1	+	+	CCONJ
ap-6080	126	2	c(u	c(u	PROPN
ap-6080	126	3	;	;	PUNCT
ap-6080	126	4	u	u	NOUN
ap-6080	126	5	,	,	PUNCT
ap-6080	126	6	v	v	NOUN
ap-6080	126	7	)	)	PUNCT
ap-6080	126	8	+	+	CCONJ
ap-6080	126	9	b(u	b(u	PROPN
ap-6080	126	10	;	;	PUNCT
ap-6080	126	11	u	u	NOUN
ap-6080	126	12	,	,	PUNCT
ap-6080	126	13	v	v	NOUN
ap-6080	126	14	)	)	PUNCT
ap-6080	126	15	+	+	CCONJ
ap-6080	126	16	b(u	b(u	PROPN
ap-6080	126	17	,	,	PUNCT
ap-6080	126	18	v	v	NOUN
ap-6080	126	19	)	)	PUNCT
ap-6080	126	20	+	+	CCONJ
ap-6080	127	1	b∗(u	b∗(u	NUM
ap-6080	127	2	,	,	PUNCT
ap-6080	127	3	v	v	NOUN
ap-6080	127	4	)	)	PUNCT
ap-6080	127	5	+	+	CCONJ
ap-6080	127	6	d(u	d(u	PROPN
ap-6080	127	7	,	,	PUNCT
ap-6080	127	8	v	v	NOUN
ap-6080	127	9	)	)	PUNCT
ap-6080	127	10	,	,	PUNCT
ap-6080	127	11	(	(	PUNCT
ap-6080	127	12	20	20	NUM
ap-6080	127	13	)	)	PUNCT
ap-6080	127	14	and	and	CCONJ
ap-6080	127	15	l(v	l(v	NOUN
ap-6080	127	16	)	)	PUNCT
ap-6080	128	1	=	=	SYM
ap-6080	128	2	lm	lm	INTJ
ap-6080	128	3	(	(	PUNCT
ap-6080	128	4	v	v	NOUN
ap-6080	128	5	)	)	PUNCT
ap-6080	128	6	+	+	CCONJ
ap-6080	128	7	lγ(v	lγ(v	NUM
ap-6080	128	8	)	)	PUNCT
ap-6080	128	9	.	.	PUNCT
ap-6080	129	1	3.3	3.3	NUM
ap-6080	129	2	.	.	PUNCT
ap-6080	130	1	finite	finite	PROPN
ap-6080	130	2	element	element	NOUN
ap-6080	130	3	approximations	approximation	VERB
ap-6080	130	4	the	the	DET
ap-6080	130	5	spaces	space	NOUN
ap-6080	130	6	vtn+1	vtn+1	VERB
ap-6080	130	7	and	and	CCONJ
ap-6080	130	8	x	x	PART
ap-6080	130	9	are	be	AUX
ap-6080	130	10	approximated	approximate	VERB
ap-6080	130	11	using	use	VERB
ap-6080	130	12	the	the	DET
ap-6080	130	13	finite	finite	ADJ
ap-6080	130	14	element	element	NOUN
ap-6080	130	15	subspaces	subspace	NOUN
ap-6080	130	16	vh	vh	PROPN
ap-6080	130	17	and	and	CCONJ
ap-6080	130	18	x	x	PROPN
ap-6080	130	19	h	h	NOUN
ap-6080	130	20	constructed	construct	VERB
ap-6080	130	21	over	over	ADP
ap-6080	130	22	an	an	DET
ap-6080	130	23	admissible	admissible	ADJ
ap-6080	130	24	triangulation	triangulation	NOUN
ap-6080	130	25	t∆	t∆	NOUN
ap-6080	130	26	of	of	ADP
ap-6080	130	27	the	the	DET
ap-6080	130	28	domain	domain	NOUN
ap-6080	130	29	ω	ω	NOUN
ap-6080	130	30	,	,	PUNCT
ap-6080	130	31	respectively	respectively	ADV
ap-6080	130	32	.	.	PUNCT
ap-6080	131	1	similarly	similarly	ADV
ap-6080	131	2	,	,	PUNCT
ap-6080	131	3	the	the	DET
ap-6080	131	4	pressure	pressure	NOUN
ap-6080	131	5	space	space	NOUN
ap-6080	131	6	qtn+1	qtn+1	NOUN
ap-6080	131	7	is	be	AUX
ap-6080	131	8	approximated	approximate	VERB
ap-6080	131	9	by	by	ADP
ap-6080	131	10	its	its	PRON
ap-6080	131	11	finite	finite	ADJ
ap-6080	131	12	element	element	PROPN
ap-6080	131	13	subspace	subspace	PROPN
ap-6080	131	14	qh	qh	PROPN
ap-6080	131	15	constructed	construct	VERB
ap-6080	131	16	again	again	ADV
ap-6080	131	17	over	over	ADP
ap-6080	131	18	t∆.	t∆.	NOUN
ap-6080	131	19	here	here	ADV
ap-6080	131	20	,	,	PUNCT
ap-6080	131	21	the	the	DET
ap-6080	131	22	taylor	taylor	PROPN
ap-6080	131	23	-	-	PUNCT
ap-6080	131	24	hood	hood	NOUN
ap-6080	131	25	finite	finite	ADJ
ap-6080	131	26	elements	element	NOUN
ap-6080	131	27	are	be	AUX
ap-6080	131	28	used	use	VERB
ap-6080	131	29	,	,	PUNCT
ap-6080	131	30	i.e.	i.e.	X
ap-6080	131	31	the	the	DET
ap-6080	131	32	spaces	space	NOUN
ap-6080	131	33	of	of	ADP
ap-6080	131	34	continuous	continuous	ADJ
ap-6080	131	35	piecewise	piecewise	NOUN
ap-6080	131	36	quadratic	quadratic	ADJ
ap-6080	131	37	velocities	velocity	NOUN
ap-6080	131	38	and	and	CCONJ
ap-6080	131	39	continuous	continuous	ADJ
ap-6080	131	40	piecewise	piecewise	NOUN
ap-6080	131	41	linear	linear	NOUN
ap-6080	131	42	pressures	pressure	NOUN
ap-6080	131	43	are	be	AUX
ap-6080	131	44	used	use	VERB
ap-6080	131	45	,	,	PUNCT
ap-6080	131	46	i.e.	i.e.	X
ap-6080	131	47	the	the	DET
ap-6080	131	48	velocities	velocity	NOUN
ap-6080	131	49	are	be	AUX
ap-6080	131	50	sought	seek	VERB
ap-6080	131	51	in	in	ADP
ap-6080	131	52	vh	vh	PROPN
ap-6080	131	53	=	=	PUNCT
ap-6080	131	54	{	{	PUNCT
ap-6080	131	55	ϕ	ϕ	PROPN
ap-6080	131	56	∈	∈	PROPN
ap-6080	131	57	c(ω	c(ω	PROPN
ap-6080	131	58	)	)	PUNCT
ap-6080	131	59	:	:	PUNCT
ap-6080	131	60	ϕ	ϕ	PROPN
ap-6080	131	61	∈	∈	PROPN
ap-6080	131	62	p	p	NOUN
ap-6080	131	63	2(k)∀k	2(k)∀k	NUM
ap-6080	131	64	∈	∈	PROPN
ap-6080	131	65	t∆	t∆	NOUN
ap-6080	131	66	}	}	PUNCT
ap-6080	131	67	∩	∩	NOUN
ap-6080	131	68	v	v	NOUN
ap-6080	131	69	.	.	PUNCT
ap-6080	132	1	the	the	DET
ap-6080	132	2	space	space	NOUN
ap-6080	132	3	of	of	ADP
ap-6080	132	4	the	the	DET
ap-6080	132	5	test	test	NOUN
ap-6080	132	6	functions	function	NOUN
ap-6080	132	7	is	be	AUX
ap-6080	132	8	given	give	VERB
ap-6080	132	9	by	by	ADP
ap-6080	132	10	x	x	PROPN
ap-6080	132	11	h	h	NOUN
ap-6080	132	12	=	=	PRON
ap-6080	132	13	{	{	PUNCT
ap-6080	132	14	ϕ	ϕ	PROPN
ap-6080	132	15	∈	∈	PROPN
ap-6080	132	16	c(ω	c(ω	PROPN
ap-6080	132	17	)	)	PUNCT
ap-6080	132	18	:	:	PUNCT
ap-6080	132	19	ϕ	ϕ	PROPN
ap-6080	132	20	∈	∈	PROPN
ap-6080	132	21	p	p	NOUN
ap-6080	132	22	2(k)∀k	2(k)∀k	NUM
ap-6080	132	23	∈	∈	PROPN
ap-6080	132	24	t∆	t∆	NOUN
ap-6080	132	25	}	}	PUNCT
ap-6080	132	26	∩x	∩x	NOUN
ap-6080	132	27	.	.	PUNCT
ap-6080	133	1	and	and	CCONJ
ap-6080	133	2	the	the	DET
ap-6080	133	3	trial	trial	NOUN
ap-6080	133	4	/	/	SYM
ap-6080	133	5	test	test	NOUN
ap-6080	133	6	pressure	pressure	NOUN
ap-6080	133	7	space	space	NOUN
ap-6080	133	8	is	be	AUX
ap-6080	133	9	given	give	VERB
ap-6080	133	10	as	as	ADP
ap-6080	133	11	qh	qh	NOUN
ap-6080	133	12	=	=	PROPN
ap-6080	133	13	{	{	PUNCT
ap-6080	133	14	ϕ	ϕ	PROPN
ap-6080	133	15	∈	∈	PROPN
ap-6080	133	16	c(ω	c(ω	PROPN
ap-6080	133	17	)	)	PUNCT
ap-6080	133	18	:	:	PUNCT
ap-6080	133	19	ϕ	ϕ	PROPN
ap-6080	133	20	∈	∈	PROPN
ap-6080	133	21	p	p	VERB
ap-6080	133	22	1(k)∀k	1(k)∀k	PROPN
ap-6080	133	23	∈	∈	PROPN
ap-6080	133	24	t∆	t∆	PROPN
ap-6080	133	25	}	}	PUNCT
ap-6080	133	26	.	.	PUNCT
ap-6080	134	1	158	158	NUM
ap-6080	134	2	vol	vol	NOUN
ap-6080	134	3	.	.	PUNCT
ap-6080	135	1	61	61	NUM
ap-6080	135	2	special	special	ADJ
ap-6080	135	3	issue/2021	issue/2021	NOUN
ap-6080	135	4	numerical	numerical	ADJ
ap-6080	135	5	solution	solution	NOUN
ap-6080	135	6	of	of	ADP
ap-6080	135	7	fsi	fsi	PROPN
ap-6080	135	8	problems	problem	NOUN
ap-6080	135	9	with	with	ADP
ap-6080	135	10	contacts	contact	NOUN
ap-6080	135	11	the	the	DET
ap-6080	135	12	finite	finite	ADJ
ap-6080	135	13	element	element	NOUN
ap-6080	135	14	approximations	approximation	NOUN
ap-6080	135	15	of	of	ADP
ap-6080	135	16	u	u	NOUN
ap-6080	135	17	and	and	CCONJ
ap-6080	135	18	p	p	NOUN
ap-6080	135	19	are	be	AUX
ap-6080	135	20	then	then	ADV
ap-6080	135	21	sought	seek	VERB
ap-6080	135	22	in	in	ADP
ap-6080	135	23	the	the	DET
ap-6080	135	24	finite	finite	PROPN
ap-6080	135	25	element	element	NOUN
ap-6080	135	26	spaces	space	VERB
ap-6080	136	1	vh	vh	PROPN
ap-6080	136	2	=	=	SYM
ap-6080	136	3	xh×qh	xh×qh	PROPN
ap-6080	136	4	constructed	construct	VERB
ap-6080	136	5	over	over	ADP
ap-6080	136	6	an	an	DET
ap-6080	136	7	admissible	admissible	ADJ
ap-6080	136	8	triangulation	triangulation	NOUN
ap-6080	136	9	τh	τh	ADP
ap-6080	136	10	of	of	ADP
ap-6080	136	11	the	the	DET
ap-6080	136	12	computational	computational	ADJ
ap-6080	136	13	domain	domain	NOUN
ap-6080	136	14	ωf	ωf	ADP
ap-6080	136	15	t	t	PROPN
ap-6080	136	16	:	:	PUNCT
ap-6080	136	17	find	find	VERB
ap-6080	136	18	an	an	DET
ap-6080	136	19	approximate	approximate	ADJ
ap-6080	136	20	solution	solution	NOUN
ap-6080	136	21	uh	uh	INTJ
ap-6080	136	22	=	=	SYM
ap-6080	136	23	(	(	PUNCT
ap-6080	136	24	u	u	NOUN
ap-6080	136	25	,	,	PUNCT
ap-6080	136	26	p	p	NOUN
ap-6080	136	27	)	)	PUNCT
ap-6080	136	28	∈wh	∈wh	NOUN
ap-6080	136	29	such	such	ADJ
ap-6080	136	30	that	that	PRON
ap-6080	136	31	eq	eq	NOUN
ap-6080	136	32	.	.	PUNCT
ap-6080	137	1	(	(	PUNCT
ap-6080	137	2	19	19	NUM
ap-6080	137	3	)	)	PUNCT
ap-6080	137	4	holds	hold	VERB
ap-6080	137	5	for	for	ADP
ap-6080	137	6	any	any	DET
ap-6080	137	7	test	test	NOUN
ap-6080	137	8	function	function	NOUN
ap-6080	137	9	vh	vh	PROPN
ap-6080	137	10	=	=	SYM
ap-6080	137	11	(	(	PUNCT
ap-6080	137	12	z	z	NOUN
ap-6080	137	13	,	,	PUNCT
ap-6080	137	14	q	q	X
ap-6080	137	15	)	)	PUNCT
ap-6080	137	16	∈	∈	PROPN
ap-6080	137	17	x	x	SYM
ap-6080	137	18	h×qh	h×qh	PROPN
ap-6080	137	19	.	.	PUNCT
ap-6080	138	1	furthermore	furthermore	ADV
ap-6080	138	2	,	,	PUNCT
ap-6080	138	3	this	this	DET
ap-6080	138	4	formulation	formulation	NOUN
ap-6080	138	5	is	be	AUX
ap-6080	138	6	stabilized	stabilize	VERB
ap-6080	138	7	using	use	VERB
ap-6080	138	8	the	the	DET
ap-6080	138	9	supg	supg	NOUN
ap-6080	138	10	/	/	SYM
ap-6080	138	11	pspg	pspg	PROPN
ap-6080	138	12	stabilization	stabilization	NOUN
ap-6080	138	13	terms	term	NOUN
ap-6080	138	14	together	together	ADV
ap-6080	138	15	with	with	ADP
ap-6080	138	16	the	the	DET
ap-6080	138	17	div	div	NOUN
ap-6080	138	18	-	-	PUNCT
ap-6080	138	19	div	div	PROPN
ap-6080	138	20	stabilization	stabilization	NOUN
ap-6080	138	21	terms	term	NOUN
ap-6080	138	22	given	give	VERB
ap-6080	138	23	as	as	ADP
ap-6080	138	24	s(u	s(u	PROPN
ap-6080	138	25	;	;	PUNCT
ap-6080	138	26	u	u	NOUN
ap-6080	138	27	,	,	PUNCT
ap-6080	138	28	v	v	NOUN
ap-6080	138	29	)	)	PUNCT
ap-6080	138	30	=	=	SYM
ap-6080	138	31	∑	∑	PUNCT
ap-6080	138	32	k∈t∆	k∈t∆	PROPN
ap-6080	138	33	δk	δk	PROPN
ap-6080	138	34	(	(	PUNCT
ap-6080	138	35	ρ	ρ	PROPN
ap-6080	138	36	3u	3u	NUM
ap-6080	138	37	2∆t	2∆t	NUM
ap-6080	138	38	−	−	NOUN
ap-6080	138	39	µ4u+	µ4u+	NOUN
ap-6080	138	40	ρ	ρ	NOUN
ap-6080	138	41	(	(	PUNCT
ap-6080	138	42	w	w	PROPN
ap-6080	138	43	·	·	PUNCT
ap-6080	138	44	∇)u+∇p	∇)u+∇p	NUM
ap-6080	138	45	,	,	PUNCT
ap-6080	138	46	φ(u	φ(u	NOUN
ap-6080	138	47	;	;	PUNCT
ap-6080	138	48	v	v	NOUN
ap-6080	138	49	)	)	PUNCT
ap-6080	138	50	)	)	PUNCT
ap-6080	139	1	k	k	PROPN
ap-6080	139	2	f(u	f(u	PROPN
ap-6080	139	3	;	;	PUNCT
ap-6080	139	4	v	v	X
ap-6080	139	5	)	)	PUNCT
ap-6080	139	6	=	=	PUNCT
ap-6080	139	7	∑	∑	PUNCT
ap-6080	139	8	k∈t∆	k∈t∆	PROPN
ap-6080	139	9	δk	δk	INTJ
ap-6080	139	10	(	(	PUNCT
ap-6080	139	11	ρ	ρ	PROPN
ap-6080	139	12	4ũn	4ũn	NUM
ap-6080	139	13	−	−	PROPN
ap-6080	139	14	ũn−1	ũn−1	PROPN
ap-6080	139	15	2∆t	2∆t	NUM
ap-6080	139	16	,	,	PUNCT
ap-6080	139	17	φ(u	φ(u	PROPN
ap-6080	139	18	;	;	PUNCT
ap-6080	139	19	v	v	NOUN
ap-6080	139	20	)	)	PUNCT
ap-6080	139	21	)	)	PUNCT
ap-6080	140	1	k	k	PROPN
ap-6080	141	1	p(u	p(u	ADJ
ap-6080	141	2	,	,	PUNCT
ap-6080	141	3	v	v	NOUN
ap-6080	141	4	)	)	PUNCT
ap-6080	141	5	=	=	SYM
ap-6080	141	6	∑	∑	PUNCT
ap-6080	141	7	k∈t∆	k∈t∆	VERB
ap-6080	141	8	τk	τk	ADV
ap-6080	141	9	(	(	PUNCT
ap-6080	141	10	∇	∇	X
ap-6080	141	11	·	·	PUNCT
ap-6080	141	12	u,∇	u,∇	X
ap-6080	141	13	·	·	PUNCT
ap-6080	141	14	z	z	X
ap-6080	141	15	)	)	PUNCT
ap-6080	141	16	k	k	NOUN
ap-6080	141	17	,	,	PUNCT
ap-6080	141	18	where	where	SCONJ
ap-6080	141	19	the	the	DET
ap-6080	141	20	modified	modified	ADJ
ap-6080	141	21	test	test	NOUN
ap-6080	141	22	function	function	NOUN
ap-6080	141	23	is	be	AUX
ap-6080	141	24	given	give	VERB
ap-6080	141	25	by	by	ADP
ap-6080	141	26	φ(u	φ(u	NOUN
ap-6080	141	27	;	;	PUNCT
ap-6080	141	28	v	v	X
ap-6080	141	29	)	)	PUNCT
ap-6080	141	30	=	=	SYM
ap-6080	141	31	(	(	PUNCT
ap-6080	141	32	(	(	PUNCT
ap-6080	141	33	u−wd	u−wd	NOUN
ap-6080	141	34	)	)	PUNCT
ap-6080	141	35	·	·	PUNCT
ap-6080	142	1	∇)z+∇q	∇)z+∇q	NOUN
ap-6080	142	2	and	and	CCONJ
ap-6080	142	3	δk	δk	INTJ
ap-6080	142	4	,	,	PUNCT
ap-6080	142	5	τk	τk	ADP
ap-6080	142	6	are	be	AUX
ap-6080	142	7	suitably	suitably	ADV
ap-6080	142	8	chosen	choose	VERB
ap-6080	142	9	stabilization	stabilization	NOUN
ap-6080	142	10	parameters	parameter	NOUN
ap-6080	142	11	,	,	PUNCT
ap-6080	142	12	see	see	VERB
ap-6080	142	13	e.g.	e.g.	ADV
ap-6080	142	14	the	the	DET
ap-6080	142	15	stabilized	stabilize	VERB
ap-6080	142	16	discrete	discrete	ADJ
ap-6080	142	17	formulation	formulation	NOUN
ap-6080	142	18	then	then	ADV
ap-6080	142	19	reads	read	VERB
ap-6080	142	20	:	:	PUNCT
ap-6080	142	21	find	find	VERB
ap-6080	142	22	u	u	PRON
ap-6080	142	23	=	=	SYM
ap-6080	142	24	(	(	PUNCT
ap-6080	142	25	u	u	NOUN
ap-6080	142	26	,	,	PUNCT
ap-6080	142	27	p	p	NOUN
ap-6080	142	28	)	)	PUNCT
ap-6080	142	29	∈wh	∈wh	NOUN
ap-6080	142	30	such	such	ADJ
ap-6080	142	31	that	that	PRON
ap-6080	142	32	as(u	as(u	PUNCT
ap-6080	142	33	;	;	PUNCT
ap-6080	142	34	u	u	NOUN
ap-6080	142	35	,	,	PUNCT
ap-6080	142	36	v	v	NOUN
ap-6080	142	37	)	)	PUNCT
ap-6080	142	38	=	=	NOUN
ap-6080	142	39	ls(u	ls(u	X
ap-6080	142	40	;	;	PUNCT
ap-6080	142	41	v	v	X
ap-6080	142	42	)	)	PUNCT
ap-6080	142	43	(	(	PUNCT
ap-6080	142	44	21	21	NUM
ap-6080	142	45	)	)	PUNCT
ap-6080	142	46	holds	hold	VERB
ap-6080	142	47	for	for	ADP
ap-6080	142	48	any	any	DET
ap-6080	142	49	test	test	NOUN
ap-6080	142	50	function	function	NOUN
ap-6080	142	51	v	v	NOUN
ap-6080	142	52	=	=	SYM
ap-6080	142	53	(	(	PUNCT
ap-6080	142	54	z	z	NOUN
ap-6080	142	55	,	,	PUNCT
ap-6080	142	56	q	q	X
ap-6080	142	57	)	)	PUNCT
ap-6080	142	58	∈	∈	NOUN
ap-6080	142	59	x	x	SYM
ap-6080	142	60	h	h	NOUN
ap-6080	142	61	×	×	PROPN
ap-6080	142	62	qh	qh	NOUN
ap-6080	142	63	,	,	PUNCT
ap-6080	142	64	where	where	SCONJ
ap-6080	142	65	as(u	as(u	PUNCT
ap-6080	142	66	;	;	PUNCT
ap-6080	142	67	u	u	NOUN
ap-6080	142	68	,	,	PUNCT
ap-6080	142	69	v	v	NOUN
ap-6080	142	70	)	)	PUNCT
ap-6080	143	1	=	=	SYM
ap-6080	143	2	a(u	a(u	PROPN
ap-6080	143	3	;	;	PUNCT
ap-6080	143	4	u	u	NOUN
ap-6080	143	5	,	,	PUNCT
ap-6080	143	6	v	v	NOUN
ap-6080	143	7	)	)	PUNCT
ap-6080	143	8	+	+	CCONJ
ap-6080	143	9	p(u	p(u	ADJ
ap-6080	143	10	,	,	PUNCT
ap-6080	143	11	v	v	NOUN
ap-6080	143	12	)	)	PUNCT
ap-6080	143	13	+	+	CCONJ
ap-6080	143	14	s(u	s(u	PROPN
ap-6080	143	15	;	;	PUNCT
ap-6080	143	16	u	u	NOUN
ap-6080	143	17	,	,	PUNCT
ap-6080	143	18	v	v	NOUN
ap-6080	143	19	)	)	PUNCT
ap-6080	143	20	,	,	PUNCT
ap-6080	143	21	and	and	CCONJ
ap-6080	143	22	ls(u	ls(u	NOUN
ap-6080	143	23	;	;	PUNCT
ap-6080	143	24	v	v	X
ap-6080	143	25	)	)	PUNCT
ap-6080	143	26	=	=	SYM
ap-6080	143	27	l(v	l(v	NOUN
ap-6080	143	28	)	)	PUNCT
ap-6080	144	1	+	+	CCONJ
ap-6080	144	2	f(u	f(u	ADJ
ap-6080	144	3	;	;	PUNCT
ap-6080	144	4	v	v	NOUN
ap-6080	144	5	)	)	PUNCT
ap-6080	144	6	.	.	PUNCT
ap-6080	145	1	3.4	3.4	NUM
ap-6080	145	2	.	.	PUNCT
ap-6080	145	3	linearization	linearization	NOUN
ap-6080	145	4	in	in	ADP
ap-6080	145	5	order	order	NOUN
ap-6080	145	6	to	to	PART
ap-6080	145	7	solve	solve	VERB
ap-6080	145	8	the	the	DET
ap-6080	145	9	nonlinear	nonlinear	ADJ
ap-6080	145	10	problem	problem	NOUN
ap-6080	145	11	(	(	PUNCT
ap-6080	145	12	21	21	NUM
ap-6080	145	13	)	)	PUNCT
ap-6080	145	14	,	,	PUNCT
ap-6080	145	15	the	the	DET
ap-6080	145	16	sequence	sequence	NOUN
ap-6080	145	17	of	of	ADP
ap-6080	145	18	the	the	DET
ap-6080	145	19	linearized	linearize	VERB
ap-6080	145	20	problem	problem	NOUN
ap-6080	145	21	is	be	AUX
ap-6080	145	22	solved	solve	VERB
ap-6080	145	23	until	until	SCONJ
ap-6080	145	24	it	it	PRON
ap-6080	145	25	converges	converge	VERB
ap-6080	145	26	to	to	ADP
ap-6080	145	27	a	a	DET
ap-6080	145	28	sufficient	sufficient	ADJ
ap-6080	145	29	precision	precision	NOUN
ap-6080	145	30	.	.	PUNCT
ap-6080	146	1	we	we	PRON
ap-6080	146	2	start	start	VERB
ap-6080	146	3	with	with	ADP
ap-6080	146	4	an	an	DET
ap-6080	146	5	approximation	approximation	NOUN
ap-6080	146	6	u0	u0	NOUN
ap-6080	146	7	and	and	CCONJ
ap-6080	146	8	for	for	ADP
ap-6080	146	9	k	k	PROPN
ap-6080	146	10	=	=	SYM
ap-6080	146	11	0	0	NUM
ap-6080	146	12	,	,	PUNCT
ap-6080	146	13	1	1	NUM
ap-6080	146	14	,	,	PUNCT
ap-6080	146	15	.	.	PUNCT
ap-6080	146	16	.	.	PUNCT
ap-6080	146	17	.	.	PUNCT
ap-6080	147	1	solve	solve	VERB
ap-6080	147	2	the	the	DET
ap-6080	147	3	linearized	linearize	VERB
ap-6080	147	4	problems	problem	NOUN
ap-6080	147	5	:	:	PUNCT
ap-6080	147	6	find	find	VERB
ap-6080	147	7	u	u	PRON
ap-6080	147	8	=	=	NOUN
ap-6080	147	9	:	:	PUNCT
ap-6080	147	10	uk+1	uk+1	X
ap-6080	147	11	such	such	ADJ
ap-6080	147	12	that	that	DET
ap-6080	147	13	as(uk;u	as(uk;u	PROPN
ap-6080	147	14	,	,	PUNCT
ap-6080	147	15	v	v	NOUN
ap-6080	147	16	)	)	PUNCT
ap-6080	147	17	=	=	SYM
ap-6080	147	18	ls(uk;v	ls(uk;v	NOUN
ap-6080	147	19	)	)	PUNCT
ap-6080	148	1	(	(	PUNCT
ap-6080	148	2	22	22	NUM
ap-6080	148	3	)	)	PUNCT
ap-6080	148	4	holds	hold	VERB
ap-6080	148	5	for	for	ADP
ap-6080	148	6	any	any	DET
ap-6080	148	7	v	v	NOUN
ap-6080	148	8	=	=	SYM
ap-6080	148	9	(	(	PUNCT
ap-6080	148	10	z	z	NOUN
ap-6080	148	11	,	,	PUNCT
ap-6080	148	12	q	q	X
ap-6080	148	13	)	)	PUNCT
ap-6080	148	14	∈	∈	PROPN
ap-6080	148	15	x	x	PUNCT
ap-6080	148	16	h	h	NOUN
ap-6080	148	17	×qh	×qh	PROPN
ap-6080	148	18	.	.	PUNCT
ap-6080	149	1	using	use	VERB
ap-6080	149	2	the	the	DET
ap-6080	149	3	finite	finite	ADJ
ap-6080	149	4	element	element	NOUN
ap-6080	149	5	base	base	NOUN
ap-6080	149	6	functions	function	NOUN
ap-6080	149	7	the	the	DET
ap-6080	149	8	discretization	discretization	NOUN
ap-6080	149	9	leads	lead	VERB
ap-6080	149	10	to	to	ADP
ap-6080	149	11	the	the	DET
ap-6080	149	12	system	system	NOUN
ap-6080	149	13	of	of	ADP
ap-6080	149	14	linear	linear	ADJ
ap-6080	149	15	equations	equation	NOUN
ap-6080	149	16	in	in	ADP
ap-6080	149	17	the	the	DET
ap-6080	149	18	form	form	NOUN
ap-6080	149	19	of	of	ADP
ap-6080	149	20	a	a	DET
ap-6080	149	21	saddle	saddle	NOUN
ap-6080	149	22	point	point	NOUN
ap-6080	149	23	problem	problem	NOUN
ap-6080	149	24	,	,	PUNCT
ap-6080	149	25	i.e.	i.e.	X
ap-6080	149	26	in	in	ADP
ap-6080	149	27	the	the	DET
ap-6080	149	28	form	form	NOUN
ap-6080	149	29	(	(	PUNCT
ap-6080	149	30	a	a	DET
ap-6080	149	31	b∗	b∗	ADJ
ap-6080	149	32	bt	bt	NOUN
ap-6080	149	33	q	q	NOUN
ap-6080	149	34	)	)	PUNCT
ap-6080	149	35	(	(	PUNCT
ap-6080	149	36	αu	αu	NOUN
ap-6080	149	37	αp	αp	NOUN
ap-6080	149	38	)	)	PUNCT
ap-6080	150	1	=	=	PUNCT
ap-6080	150	2	(	(	PUNCT
ap-6080	150	3	f	f	PROPN
ap-6080	150	4	g	g	PROPN
ap-6080	150	5	)	)	PUNCT
ap-6080	150	6	,	,	PUNCT
ap-6080	150	7	(	(	PUNCT
ap-6080	150	8	23	23	NUM
ap-6080	150	9	)	)	PUNCT
ap-6080	150	10	where	where	SCONJ
ap-6080	150	11	the	the	DET
ap-6080	150	12	matrix	matrix	NOUN
ap-6080	150	13	a	a	PRON
ap-6080	150	14	=	=	NOUN
ap-6080	150	15	m	m	PROPN
ap-6080	150	16	+	+	NUM
ap-6080	150	17	d	d	X
ap-6080	150	18	+	+	NUM
ap-6080	150	19	c	c	PROPN
ap-6080	150	20	+	+	NOUN
ap-6080	150	21	ab	ab	PRON
ap-6080	151	1	+	+	CCONJ
ap-6080	151	2	as	as	ADP
ap-6080	151	3	consists	consist	NOUN
ap-6080	151	4	of	of	ADP
ap-6080	151	5	the	the	DET
ap-6080	151	6	mass	mass	ADJ
ap-6080	151	7	matrix	matrix	NOUN
ap-6080	151	8	m	m	NOUN
ap-6080	151	9	,	,	PUNCT
ap-6080	151	10	the	the	DET
ap-6080	151	11	diffusion	diffusion	NOUN
ap-6080	151	12	matrix	matrix	NOUN
ap-6080	151	13	d	d	NOUN
ap-6080	151	14	,	,	PUNCT
ap-6080	151	15	the	the	DET
ap-6080	151	16	convection	convection	NOUN
ap-6080	151	17	matrix	matrix	NOUN
ap-6080	151	18	c	c	NOUN
ap-6080	151	19	,	,	PUNCT
ap-6080	151	20	the	the	DET
ap-6080	151	21	boundary	boundary	ADJ
ap-6080	151	22	terms	term	NOUN
ap-6080	151	23	matrix	matrix	VERB
ap-6080	151	24	ab	ab	PROPN
ap-6080	151	25	and	and	CCONJ
ap-6080	151	26	the	the	DET
ap-6080	151	27	stabilization	stabilization	NOUN
ap-6080	151	28	matrix	matrix	NOUN
ap-6080	151	29	as	as	ADP
ap-6080	151	30	part	part	NOUN
ap-6080	151	31	arising	arise	VERB
ap-6080	151	32	from	from	ADP
ap-6080	151	33	the	the	DET
ap-6080	151	34	formsm	formsm	NOUN
ap-6080	151	35	,	,	PUNCT
ap-6080	151	36	d	d	X
ap-6080	151	37	,	,	PUNCT
ap-6080	151	38	c	c	X
ap-6080	151	39	,	,	PUNCT
ap-6080	151	40	b	b	PROPN
ap-6080	151	41	and	and	CCONJ
ap-6080	151	42	s	s	PROPN
ap-6080	151	43	,	,	PUNCT
ap-6080	151	44	respectively	respectively	ADV
ap-6080	151	45	.	.	PUNCT
ap-6080	152	1	matrix	matrix	NOUN
ap-6080	152	2	b∗	b∗	ADV
ap-6080	152	3	is	be	AUX
ap-6080	152	4	the	the	DET
ap-6080	152	5	discrete	discrete	ADJ
ap-6080	152	6	gradient	gradient	NOUN
ap-6080	152	7	operator	operator	NOUN
ap-6080	152	8	.	.	PUNCT
ap-6080	153	1	it	it	PRON
ap-6080	153	2	corresponds	correspond	VERB
ap-6080	153	3	to	to	ADP
ap-6080	153	4	the	the	DET
ap-6080	153	5	form	form	NOUN
ap-6080	153	6	b∗	b∗	ADJ
ap-6080	153	7	including	include	VERB
ap-6080	153	8	the	the	DET
ap-6080	153	9	stabilization	stabilization	NOUN
ap-6080	153	10	terms	term	NOUN
ap-6080	153	11	,	,	PUNCT
ap-6080	153	12	bt	bt	NOUN
ap-6080	153	13	corresponds	correspond	VERB
ap-6080	153	14	to	to	ADP
ap-6080	153	15	the	the	DET
ap-6080	153	16	discrete	discrete	ADJ
ap-6080	153	17	divergence	divergence	NOUN
ap-6080	153	18	operator	operator	NOUN
ap-6080	153	19	realized	realize	VERB
ap-6080	153	20	by	by	ADP
ap-6080	153	21	the	the	DET
ap-6080	153	22	form	form	NOUN
ap-6080	153	23	b	b	PROPN
ap-6080	153	24	plus	plus	CCONJ
ap-6080	153	25	stabilization	stabilization	NOUN
ap-6080	153	26	.	.	PUNCT
ap-6080	154	1	the	the	DET
ap-6080	154	2	matrix	matrix	NOUN
ap-6080	154	3	q	q	NOUN
ap-6080	154	4	follows	follow	VERB
ap-6080	154	5	fully	fully	ADV
ap-6080	154	6	from	from	ADP
ap-6080	154	7	the	the	DET
ap-6080	154	8	stabilization	stabilization	NOUN
ap-6080	154	9	s	s	NOUN
ap-6080	154	10	,	,	PUNCT
ap-6080	154	11	i.e.	i.e.	X
ap-6080	154	12	in	in	ADP
ap-6080	154	13	particular	particular	ADJ
ap-6080	154	14	for	for	ADP
ap-6080	154	15	the	the	DET
ap-6080	154	16	case	case	NOUN
ap-6080	154	17	with	with	ADP
ap-6080	154	18	no	no	DET
ap-6080	154	19	stabilization	stabilization	NOUN
ap-6080	154	20	the	the	DET
ap-6080	154	21	matrix	matrix	NOUN
ap-6080	154	22	q	q	NOUN
ap-6080	155	1	=	=	NOUN
ap-6080	155	2	0	0	NUM
ap-6080	155	3	.	.	PUNCT
ap-6080	156	1	the	the	DET
ap-6080	156	2	solution	solution	NOUN
ap-6080	156	3	of	of	ADP
ap-6080	156	4	such	such	DET
ap-6080	156	5	a	a	DET
ap-6080	156	6	problem	problem	NOUN
ap-6080	156	7	is	be	AUX
ap-6080	156	8	difficult	difficult	ADJ
ap-6080	156	9	,	,	PUNCT
ap-6080	156	10	see	see	VERB
ap-6080	157	1	e.g.	e.g.	ADV
ap-6080	157	2	[	[	X
ap-6080	157	3	9	9	NUM
ap-6080	157	4	]	]	PUNCT
ap-6080	157	5	.	.	PUNCT
ap-6080	158	1	this	this	PRON
ap-6080	158	2	is	be	AUX
ap-6080	158	3	caused	cause	VERB
ap-6080	158	4	by	by	ADP
ap-6080	158	5	the	the	DET
ap-6080	158	6	presence	presence	NOUN
ap-6080	158	7	of	of	ADP
ap-6080	158	8	the	the	DET
ap-6080	158	9	continuity	continuity	NOUN
ap-6080	158	10	equation	equation	NOUN
ap-6080	158	11	,	,	PUNCT
ap-6080	158	12	which	which	PRON
ap-6080	158	13	can	can	AUX
ap-6080	158	14	be	be	AUX
ap-6080	158	15	treated	treat	VERB
ap-6080	158	16	at	at	ADP
ap-6080	158	17	the	the	DET
ap-6080	158	18	continuous	continuous	ADJ
ap-6080	158	19	level	level	NOUN
ap-6080	158	20	by	by	ADP
ap-6080	158	21	the	the	DET
ap-6080	158	22	approach	approach	NOUN
ap-6080	158	23	based	base	VERB
ap-6080	158	24	on	on	ADP
ap-6080	158	25	the	the	DET
ap-6080	158	26	projection	projection	NOUN
ap-6080	158	27	method	method	NOUN
ap-6080	158	28	.	.	PUNCT
ap-6080	159	1	on	on	ADP
ap-6080	159	2	the	the	DET
ap-6080	159	3	other	other	ADJ
ap-6080	159	4	hand	hand	NOUN
ap-6080	159	5	,	,	PUNCT
ap-6080	159	6	this	this	PRON
ap-6080	159	7	can	can	AUX
ap-6080	159	8	be	be	AUX
ap-6080	159	9	understood	understand	VERB
ap-6080	159	10	as	as	ADP
ap-6080	159	11	an	an	DET
ap-6080	159	12	approximation	approximation	NOUN
ap-6080	159	13	of	of	ADP
ap-6080	159	14	the	the	DET
ap-6080	159	15	solution	solution	NOUN
ap-6080	159	16	of	of	ADP
ap-6080	159	17	the	the	DET
ap-6080	159	18	system	system	NOUN
ap-6080	159	19	(	(	PUNCT
ap-6080	159	20	23	23	NUM
ap-6080	159	21	)	)	PUNCT
ap-6080	159	22	,	,	PUNCT
ap-6080	159	23	or	or	CCONJ
ap-6080	159	24	more	more	ADV
ap-6080	159	25	precisely	precisely	ADV
ap-6080	159	26	as	as	ADP
ap-6080	159	27	preconditioned	preconditioned	ADJ
ap-6080	159	28	iterative	iterative	NOUN
ap-6080	159	29	solution	solution	NOUN
ap-6080	159	30	of	of	ADP
ap-6080	159	31	this	this	DET
ap-6080	159	32	system	system	NOUN
ap-6080	159	33	.	.	PUNCT
ap-6080	160	1	4	4	X
ap-6080	160	2	.	.	X
ap-6080	160	3	solution	solution	NOUN
ap-6080	160	4	of	of	ADP
ap-6080	160	5	the	the	DET
ap-6080	160	6	discrete	discrete	ADJ
ap-6080	160	7	problem	problem	NOUN
ap-6080	160	8	4.1	4.1	NUM
ap-6080	160	9	.	.	PUNCT
ap-6080	161	1	projection	projection	NOUN
ap-6080	161	2	method	method	NOUN
ap-6080	161	3	the	the	DET
ap-6080	161	4	projection	projection	NOUN
ap-6080	161	5	method	method	NOUN
ap-6080	161	6	is	be	AUX
ap-6080	161	7	based	base	VERB
ap-6080	161	8	on	on	ADP
ap-6080	161	9	the	the	DET
ap-6080	161	10	helmholtzhodge	helmholtzhodge	NOUN
ap-6080	161	11	decomposition	decomposition	NOUN
ap-6080	161	12	of	of	ADP
ap-6080	161	13	any	any	DET
ap-6080	161	14	vector	vector	NOUN
ap-6080	161	15	field	field	NOUN
ap-6080	161	16	v	v	NOUN
ap-6080	161	17	,	,	PUNCT
ap-6080	161	18	i.e.	i.e.	X
ap-6080	161	19	v	v	NOUN
ap-6080	161	20	=	=	SYM
ap-6080	161	21	vdiv	vdiv	NOUN
ap-6080	161	22	+	+	CCONJ
ap-6080	161	23	∇ψ	∇ψ	PROPN
ap-6080	161	24	,	,	PUNCT
ap-6080	161	25	where	where	SCONJ
ap-6080	161	26	vdiv	vdiv	NOUN
ap-6080	161	27	is	be	AUX
ap-6080	161	28	the	the	DET
ap-6080	161	29	divergence	divergence	ADJ
ap-6080	161	30	free	free	ADJ
ap-6080	161	31	field	field	NOUN
ap-6080	161	32	,	,	PUNCT
ap-6080	161	33	see	see	VERB
ap-6080	161	34	[	[	X
ap-6080	161	35	10	10	NUM
ap-6080	161	36	]	]	PUNCT
ap-6080	161	37	.	.	PUNCT
ap-6080	162	1	in	in	ADP
ap-6080	162	2	this	this	DET
ap-6080	162	3	section	section	NOUN
ap-6080	162	4	,	,	PUNCT
ap-6080	162	5	for	for	ADP
ap-6080	162	6	the	the	DET
ap-6080	162	7	sake	sake	NOUN
ap-6080	162	8	of	of	ADP
ap-6080	162	9	simplicity	simplicity	NOUN
ap-6080	162	10	,	,	PUNCT
ap-6080	162	11	we	we	PRON
ap-6080	162	12	shall	shall	AUX
ap-6080	162	13	restrict	restrict	VERB
ap-6080	162	14	ourselves	ourselves	PRON
ap-6080	162	15	to	to	ADP
ap-6080	162	16	the	the	DET
ap-6080	162	17	case	case	NOUN
ap-6080	162	18	of	of	ADP
ap-6080	162	19	the	the	DET
ap-6080	162	20	fixed	fix	VERB
ap-6080	162	21	computational	computational	ADJ
ap-6080	162	22	domain	domain	NOUN
ap-6080	162	23	ω	ω	NOUN
ap-6080	162	24	and	and	CCONJ
ap-6080	162	25	to	to	ADP
ap-6080	162	26	the	the	DET
ap-6080	162	27	case	case	NOUN
ap-6080	162	28	of	of	ADP
ap-6080	162	29	the	the	DET
ap-6080	162	30	first	first	ADJ
ap-6080	162	31	order	order	NOUN
ap-6080	162	32	discretization	discretization	NOUN
ap-6080	162	33	in	in	ADP
ap-6080	162	34	time	time	NOUN
ap-6080	162	35	.	.	PUNCT
ap-6080	163	1	this	this	PRON
ap-6080	163	2	means	mean	VERB
ap-6080	163	3	that	that	SCONJ
ap-6080	163	4	here	here	ADV
ap-6080	163	5	we	we	PRON
ap-6080	163	6	shall	shall	AUX
ap-6080	163	7	discuss	discuss	VERB
ap-6080	163	8	the	the	DET
ap-6080	163	9	solution	solution	NOUN
ap-6080	163	10	of	of	ADP
ap-6080	163	11	the	the	DET
ap-6080	163	12	navier	navier	NOUN
ap-6080	163	13	-	-	PUNCT
ap-6080	163	14	stokes	stoke	NOUN
ap-6080	163	15	equations	equation	NOUN
ap-6080	163	16	in	in	ADP
ap-6080	163	17	the	the	DET
ap-6080	163	18	form	form	NOUN
ap-6080	164	1	ρ	ρ	NOUN
ap-6080	164	2	∂u	∂u	PROPN
ap-6080	165	1	∂t	∂t	PROPN
ap-6080	165	2	+	+	CCONJ
ap-6080	165	3	ρ(u	ρ(u	PROPN
ap-6080	165	4	·	·	PUNCT
ap-6080	165	5	∇)u+∇p−	∇)u+∇p−	NUM
ap-6080	165	6	µ4u	µ4u	NOUN
ap-6080	165	7	=	=	SYM
ap-6080	165	8	0	0	NUM
ap-6080	165	9	,	,	PUNCT
ap-6080	165	10	∇	∇	X
ap-6080	165	11	·	·	PUNCT
ap-6080	165	12	u	u	NOUN
ap-6080	165	13	=	=	PROPN
ap-6080	165	14	0	0	NUM
ap-6080	165	15	,	,	PUNCT
ap-6080	165	16	where	where	SCONJ
ap-6080	165	17	the	the	DET
ap-6080	165	18	time	time	NOUN
ap-6080	165	19	derivative	derivative	ADJ
ap-6080	165	20	term	term	NOUN
ap-6080	165	21	is	be	AUX
ap-6080	165	22	replaced	replace	VERB
ap-6080	165	23	by	by	ADP
ap-6080	165	24	the	the	DET
ap-6080	165	25	backward	backward	ADJ
ap-6080	165	26	difference	difference	NOUN
ap-6080	165	27	formula	formula	NOUN
ap-6080	166	1	ρ	ρ	NOUN
ap-6080	166	2	∂u	∂u	PROPN
ap-6080	167	1	∂t	∂t	PROPN
ap-6080	168	1	≈	≈	INTJ
ap-6080	168	2	ρu	ρu	INTJ
ap-6080	168	3	n+1	n+1	PROPN
ap-6080	168	4	−	−	PROPN
ap-6080	168	5	un	un	PROPN
ap-6080	168	6	∆t	∆t	PROPN
ap-6080	168	7	.	.	PUNCT
ap-6080	169	1	here	here	ADV
ap-6080	169	2	,	,	PUNCT
ap-6080	169	3	the	the	DET
ap-6080	169	4	problem	problem	NOUN
ap-6080	169	5	(	(	PUNCT
ap-6080	169	6	24	24	NUM
ap-6080	169	7	)	)	PUNCT
ap-6080	169	8	can	can	AUX
ap-6080	169	9	be	be	AUX
ap-6080	169	10	sought	seek	VERB
ap-6080	169	11	using	use	VERB
ap-6080	169	12	the	the	DET
ap-6080	169	13	segregated	segregated	ADJ
ap-6080	169	14	approach	approach	NOUN
ap-6080	169	15	,	,	PUNCT
ap-6080	169	16	see	see	VERB
ap-6080	169	17	[	[	X
ap-6080	169	18	11	11	NUM
ap-6080	169	19	]	]	PUNCT
ap-6080	169	20	.	.	PUNCT
ap-6080	170	1	this	this	PRON
ap-6080	170	2	can	can	AUX
ap-6080	170	3	be	be	AUX
ap-6080	170	4	formally	formally	ADV
ap-6080	170	5	written	write	VERB
ap-6080	170	6	as	as	ADP
ap-6080	170	7	i.	i.	NOUN
ap-6080	170	8	solve	solve	VERB
ap-6080	170	9	momentum	momentum	NOUN
ap-6080	170	10	equations	equation	NOUN
ap-6080	170	11	for	for	ADP
ap-6080	170	12	ũ	ũ	PROPN
ap-6080	170	13	ũ−	ũ−	PROPN
ap-6080	170	14	un	un	PROPN
ap-6080	170	15	∆t	∆t	PROPN
ap-6080	170	16	+	+	CCONJ
ap-6080	170	17	(	(	PUNCT
ap-6080	170	18	ũ	ũ	PROPN
ap-6080	170	19	·	·	SYM
ap-6080	170	20	∇)ũ−	∇)ũ−	NOUN
ap-6080	171	1	ν4ũ	ν4ũ	NOUN
ap-6080	171	2	=	=	PUNCT
ap-6080	171	3	f	f	PROPN
ap-6080	171	4	,	,	PUNCT
ap-6080	171	5	(	(	PUNCT
ap-6080	171	6	24	24	NUM
ap-6080	171	7	)	)	PUNCT
ap-6080	171	8	ii.project	ii.project	VERB
ap-6080	171	9	ũ	ũ	PROPN
ap-6080	171	10	on	on	ADP
ap-6080	171	11	the	the	DET
ap-6080	171	12	space	space	NOUN
ap-6080	171	13	of	of	ADP
ap-6080	171	14	(	(	PUNCT
ap-6080	171	15	discrete	discrete	NOUN
ap-6080	171	16	)	)	PUNCT
ap-6080	171	17	divergence	divergence	NOUN
ap-6080	171	18	free	free	ADJ
ap-6080	171	19	functions	function	NOUN
ap-6080	171	20	:	:	PUNCT
ap-6080	171	21	solve	solve	VERB
ap-6080	171	22	pressure	pressure	NOUN
ap-6080	171	23	equation	equation	NOUN
ap-6080	171	24	∇	∇	X
ap-6080	171	25	·	·	PUNCT
ap-6080	171	26	(	(	PUNCT
ap-6080	171	27	∇p	∇p	ADV
ap-6080	171	28	)	)	PUNCT
ap-6080	171	29	=	=	SYM
ap-6080	171	30	∇	∇	X
ap-6080	171	31	·	·	PUNCT
ap-6080	171	32	(	(	PUNCT
ap-6080	171	33	ũ	ũ	PROPN
ap-6080	171	34	∆t	∆t	PROPN
ap-6080	171	35	)	)	PUNCT
ap-6080	171	36	,	,	PUNCT
ap-6080	171	37	(	(	PUNCT
ap-6080	171	38	25	25	NUM
ap-6080	171	39	)	)	PUNCT
ap-6080	171	40	iii.update	iii.update	NOUN
ap-6080	171	41	the	the	DET
ap-6080	171	42	velocity	velocity	NOUN
ap-6080	171	43	field	field	NOUN
ap-6080	171	44	by	by	ADP
ap-6080	171	45	adding	add	VERB
ap-6080	171	46	the	the	DET
ap-6080	171	47	pressure	pressure	NOUN
ap-6080	171	48	gradient	gradient	NOUN
ap-6080	171	49	:	:	PUNCT
ap-6080	171	50	un+1	un+1	PROPN
ap-6080	171	51	−	−	PROPN
ap-6080	171	52	ũ	ũ	PROPN
ap-6080	171	53	∆t	∆t	PROPN
ap-6080	171	54	+	+	PROPN
ap-6080	171	55	∇p	∇p	ADJ
ap-6080	171	56	=	=	NOUN
ap-6080	171	57	0	0	X
ap-6080	171	58	.	.	PUNCT
ap-6080	172	1	(	(	PUNCT
ap-6080	172	2	26	26	NUM
ap-6080	172	3	)	)	PUNCT
ap-6080	172	4	let	let	VERB
ap-6080	172	5	us	we	PRON
ap-6080	172	6	mention	mention	VERB
ap-6080	172	7	that	that	SCONJ
ap-6080	172	8	the	the	DET
ap-6080	172	9	steps	step	NOUN
ap-6080	172	10	i.	i.	PROPN
ap-6080	172	11	and	and	CCONJ
ap-6080	172	12	ii	ii	PROPN
ap-6080	172	13	.	.	PROPN
ap-6080	172	14	need	need	VERB
ap-6080	172	15	to	to	PART
ap-6080	172	16	be	be	AUX
ap-6080	172	17	equipped	equip	VERB
ap-6080	172	18	with	with	ADP
ap-6080	172	19	suitable	suitable	ADJ
ap-6080	172	20	boundary	boundary	ADJ
ap-6080	172	21	conditions	condition	NOUN
ap-6080	172	22	.	.	PUNCT
ap-6080	173	1	due	due	ADP
ap-6080	173	2	to	to	ADP
ap-6080	173	3	splitting	split	VERB
ap-6080	173	4	the	the	DET
ap-6080	173	5	coupled	couple	VERB
ap-6080	173	6	equations	equation	NOUN
ap-6080	173	7	,	,	PUNCT
ap-6080	173	8	the	the	DET
ap-6080	173	9	boundary	boundary	ADJ
ap-6080	173	10	conditions	condition	NOUN
ap-6080	173	11	as	as	SCONJ
ap-6080	173	12	presented	present	VERB
ap-6080	173	13	in	in	ADP
ap-6080	173	14	(	(	PUNCT
ap-6080	173	15	3	3	NUM
ap-6080	173	16	-	-	SYM
ap-6080	173	17	2	2	NUM
ap-6080	173	18	)	)	PUNCT
ap-6080	173	19	require	require	VERB
ap-6080	173	20	a	a	DET
ap-6080	173	21	modification	modification	NOUN
ap-6080	173	22	.	.	PUNCT
ap-6080	174	1	particularly	particularly	ADV
ap-6080	174	2	the	the	DET
ap-6080	174	3	boundary	boundary	ADJ
ap-6080	174	4	conditions	condition	NOUN
ap-6080	174	5	(	(	PUNCT
ap-6080	174	6	2	2	X
ap-6080	174	7	)	)	PUNCT
ap-6080	174	8	contain	contain	VERB
ap-6080	174	9	pressure	pressure	NOUN
ap-6080	174	10	,	,	PUNCT
ap-6080	174	11	which	which	PRON
ap-6080	174	12	is	be	AUX
ap-6080	174	13	not	not	PART
ap-6080	174	14	available	available	ADJ
ap-6080	174	15	in	in	ADP
ap-6080	174	16	the	the	DET
ap-6080	174	17	step	step	NOUN
ap-6080	174	18	i	i	PRON
ap-6080	174	19	,	,	PUNCT
ap-6080	174	20	but	but	CCONJ
ap-6080	174	21	can	can	AUX
ap-6080	174	22	be	be	AUX
ap-6080	174	23	used	use	VERB
ap-6080	174	24	from	from	ADP
ap-6080	174	25	the	the	DET
ap-6080	174	26	previous	previous	ADJ
ap-6080	174	27	time	time	NOUN
ap-6080	174	28	step	step	NOUN
ap-6080	174	29	.	.	PUNCT
ap-6080	175	1	the	the	DET
ap-6080	175	2	pressure	pressure	NOUN
ap-6080	175	3	equation	equation	NOUN
ap-6080	175	4	needs	need	VERB
ap-6080	175	5	to	to	PART
ap-6080	175	6	be	be	AUX
ap-6080	175	7	equipped	equip	VERB
ap-6080	175	8	by	by	ADP
ap-6080	175	9	the	the	DET
ap-6080	175	10	neumann	neumann	PROPN
ap-6080	175	11	type	type	NOUN
ap-6080	175	12	boundary	boundary	ADJ
ap-6080	175	13	condition	condition	NOUN
ap-6080	175	14	,	,	PUNCT
ap-6080	175	15	where	where	SCONJ
ap-6080	175	16	the	the	DET
ap-6080	175	17	compatibility	compatibility	NOUN
ap-6080	175	18	condition	condition	NOUN
ap-6080	175	19	needs	need	VERB
ap-6080	175	20	to	to	PART
ap-6080	175	21	be	be	AUX
ap-6080	175	22	satisfied	satisfied	ADJ
ap-6080	175	23	for	for	ADP
ap-6080	175	24	the	the	DET
ap-6080	175	25	existence	existence	NOUN
ap-6080	175	26	of	of	ADP
ap-6080	175	27	a	a	DET
ap-6080	175	28	solution	solution	NOUN
ap-6080	175	29	,	,	PUNCT
ap-6080	175	30	159	159	NUM
ap-6080	175	31	petr	petr	PROPN
ap-6080	175	32	sváček	sváček	PROPN
ap-6080	175	33	acta	acta	PROPN
ap-6080	175	34	polytechnica	polytechnica	PROPN
ap-6080	175	35	which	which	PRON
ap-6080	175	36	is	be	AUX
ap-6080	175	37	unique	unique	ADJ
ap-6080	175	38	to	to	ADP
ap-6080	175	39	a	a	DET
ap-6080	175	40	constant	constant	ADJ
ap-6080	175	41	.	.	PUNCT
ap-6080	176	1	nevertheless	nevertheless	ADV
ap-6080	176	2	,	,	PUNCT
ap-6080	176	3	due	due	ADP
ap-6080	176	4	to	to	ADP
ap-6080	176	5	splitting	split	VERB
ap-6080	176	6	these	these	DET
ap-6080	176	7	two	two	NUM
ap-6080	176	8	steps	step	NOUN
ap-6080	176	9	,	,	PUNCT
ap-6080	176	10	the	the	DET
ap-6080	176	11	splitting	splitting	NOUN
ap-6080	176	12	error	error	NOUN
ap-6080	176	13	arises	arise	VERB
ap-6080	176	14	,	,	PUNCT
ap-6080	176	15	for	for	ADP
ap-6080	176	16	overview	overview	NOUN
ap-6080	176	17	see	see	VERB
ap-6080	176	18	e.g.	e.g.	ADV
ap-6080	176	19	[	[	X
ap-6080	176	20	12	12	NUM
ap-6080	176	21	]	]	PUNCT
ap-6080	176	22	.	.	PUNCT
ap-6080	177	1	in	in	ADP
ap-6080	177	2	the	the	DET
ap-6080	177	3	considered	consider	VERB
ap-6080	177	4	problem	problem	NOUN
ap-6080	177	5	,	,	PUNCT
ap-6080	177	6	the	the	DET
ap-6080	177	7	main	main	ADJ
ap-6080	177	8	difficulty	difficulty	NOUN
ap-6080	177	9	is	be	AUX
ap-6080	177	10	in	in	ADP
ap-6080	177	11	the	the	DET
ap-6080	177	12	realization	realization	NOUN
ap-6080	177	13	of	of	ADP
ap-6080	177	14	the	the	DET
ap-6080	177	15	non	non	ADJ
ap-6080	177	16	-	-	ADJ
ap-6080	177	17	standard	standard	ADJ
ap-6080	177	18	boundary	boundary	ADJ
ap-6080	177	19	conditions	condition	NOUN
ap-6080	177	20	(	(	PUNCT
ap-6080	177	21	2,3	2,3	NUM
ap-6080	177	22	)	)	PUNCT
ap-6080	177	23	.	.	PUNCT
ap-6080	178	1	to	to	ADP
ap-6080	178	2	this	this	DET
ap-6080	178	3	end	end	NOUN
ap-6080	178	4	we	we	PRON
ap-6080	178	5	shall	shall	AUX
ap-6080	178	6	consider	consider	VERB
ap-6080	178	7	another	another	DET
ap-6080	178	8	possibility	possibility	NOUN
ap-6080	178	9	based	base	VERB
ap-6080	178	10	on	on	ADP
ap-6080	178	11	the	the	DET
ap-6080	178	12	preconditioned	preconditioned	ADJ
ap-6080	178	13	solution	solution	NOUN
ap-6080	178	14	of	of	ADP
ap-6080	178	15	the	the	DET
ap-6080	178	16	discrete	discrete	ADJ
ap-6080	178	17	problem	problem	NOUN
ap-6080	178	18	(	(	PUNCT
ap-6080	178	19	23	23	NUM
ap-6080	178	20	)	)	PUNCT
ap-6080	178	21	.	.	PUNCT
ap-6080	179	1	4.2	4.2	NUM
ap-6080	179	2	.	.	PUNCT
ap-6080	179	3	discrete	discrete	ADJ
ap-6080	179	4	projection	projection	NOUN
ap-6080	179	5	methods	method	NOUN
ap-6080	179	6	and	and	CCONJ
ap-6080	179	7	preconditioning	precondition	VERB
ap-6080	179	8	let	let	VERB
ap-6080	179	9	us	we	PRON
ap-6080	179	10	consider	consider	VERB
ap-6080	179	11	the	the	DET
ap-6080	179	12	system	system	NOUN
ap-6080	179	13	of	of	ADP
ap-6080	179	14	linear	linear	ADJ
ap-6080	179	15	equations	equation	NOUN
ap-6080	179	16	written	write	VERB
ap-6080	179	17	in	in	ADP
ap-6080	179	18	the	the	DET
ap-6080	179	19	form	form	NOUN
ap-6080	179	20	mu	mu	NOUN
ap-6080	179	21	=	=	PROPN
ap-6080	179	22	b.	b.	PROPN
ap-6080	179	23	where	where	SCONJ
ap-6080	179	24	the	the	DET
ap-6080	179	25	matrix	matrix	NOUN
ap-6080	179	26	m	m	AUX
ap-6080	179	27	is	be	AUX
ap-6080	179	28	given	give	VERB
ap-6080	179	29	as	as	ADP
ap-6080	179	30	m	m	NOUN
ap-6080	179	31	=	=	PUNCT
ap-6080	179	32	(	(	PUNCT
ap-6080	179	33	a	a	DET
ap-6080	179	34	b	b	X
ap-6080	179	35	bt	bt	NOUN
ap-6080	179	36	0	0	NUM
ap-6080	179	37	)	)	PUNCT
ap-6080	179	38	,	,	PUNCT
ap-6080	179	39	b	b	X
ap-6080	179	40	=	=	PRON
ap-6080	179	41	(	(	PUNCT
ap-6080	179	42	f	f	PROPN
ap-6080	179	43	g	g	PROPN
ap-6080	179	44	)	)	PUNCT
ap-6080	179	45	.	.	PUNCT
ap-6080	180	1	(	(	PUNCT
ap-6080	180	2	27	27	NUM
ap-6080	180	3	)	)	PUNCT
ap-6080	180	4	this	this	PRON
ap-6080	180	5	is	be	AUX
ap-6080	180	6	the	the	DET
ap-6080	180	7	well	well	ADV
ap-6080	180	8	studied	study	VERB
ap-6080	180	9	case	case	NOUN
ap-6080	180	10	,	,	PUNCT
ap-6080	180	11	where	where	SCONJ
ap-6080	180	12	the	the	DET
ap-6080	180	13	matrix	matrix	NOUN
ap-6080	180	14	a	a	PRON
ap-6080	180	15	is	be	AUX
ap-6080	180	16	(	(	PUNCT
ap-6080	180	17	possibly	possibly	ADV
ap-6080	180	18	)	)	PUNCT
ap-6080	180	19	a	a	DET
ap-6080	180	20	non	non	ADJ
ap-6080	180	21	-	-	ADJ
ap-6080	180	22	symmetric	symmetric	ADJ
ap-6080	180	23	positive	positive	ADJ
ap-6080	180	24	definite	definite	ADJ
ap-6080	180	25	and	and	CCONJ
ap-6080	180	26	the	the	DET
ap-6080	180	27	matrix	matrix	NOUN
ap-6080	180	28	b	b	NOUN
ap-6080	180	29	has	have	VERB
ap-6080	180	30	full	full	ADJ
ap-6080	180	31	rank	rank	NOUN
ap-6080	180	32	due	due	ADP
ap-6080	180	33	to	to	ADP
ap-6080	180	34	the	the	DET
ap-6080	180	35	babuška	babuška	NOUN
ap-6080	180	36	-	-	PUNCT
ap-6080	180	37	brezzi	brezzi	ADJ
ap-6080	180	38	inf	inf	ADJ
ap-6080	180	39	-	-	PUNCT
ap-6080	180	40	sup	sup	NOUN
ap-6080	180	41	condition	condition	NOUN
ap-6080	180	42	satisfied	satisfied	ADJ
ap-6080	180	43	.	.	PUNCT
ap-6080	181	1	the	the	DET
ap-6080	181	2	matrix	matrix	NOUN
ap-6080	181	3	m	m	VERB
ap-6080	181	4	can	can	AUX
ap-6080	181	5	be	be	AUX
ap-6080	181	6	factorized	factorize	VERB
ap-6080	181	7	as	as	ADP
ap-6080	181	8	m	m	PROPN
ap-6080	181	9	=	=	PUNCT
ap-6080	181	10	(	(	PUNCT
ap-6080	181	11	i	i	PRON
ap-6080	181	12	0	0	NUM
ap-6080	181	13	bta−1	bta−1	PROPN
ap-6080	181	14	i	i	PROPN
ap-6080	181	15	)	)	PUNCT
ap-6080	181	16	(	(	PUNCT
ap-6080	181	17	a	a	DET
ap-6080	181	18	0	0	NUM
ap-6080	181	19	0	0	NUM
ap-6080	181	20	s	s	NOUN
ap-6080	181	21	)	)	PUNCT
ap-6080	181	22	(	(	PUNCT
ap-6080	181	23	i	i	PRON
ap-6080	181	24	a−1b	a−1b	VERB
ap-6080	181	25	0	0	PUNCT
ap-6080	182	1	i	i	NOUN
ap-6080	182	2	)	)	PUNCT
ap-6080	182	3	(	(	PUNCT
ap-6080	182	4	28	28	NUM
ap-6080	182	5	)	)	PUNCT
ap-6080	182	6	where	where	SCONJ
ap-6080	182	7	s	s	NOUN
ap-6080	182	8	is	be	AUX
ap-6080	182	9	the	the	DET
ap-6080	182	10	pressure	pressure	NOUN
ap-6080	182	11	schur	schur	PROPN
ap-6080	182	12	complement	complement	NOUN
ap-6080	182	13	given	give	VERB
ap-6080	182	14	as	as	ADP
ap-6080	182	15	s	s	NOUN
ap-6080	182	16	=	=	NOUN
ap-6080	182	17	−bta−1b	−bta−1b	PROPN
ap-6080	182	18	.	.	PUNCT
ap-6080	183	1	(	(	PUNCT
ap-6080	183	2	29	29	NUM
ap-6080	183	3	)	)	PUNCT
ap-6080	183	4	the	the	DET
ap-6080	183	5	inverse	inverse	NOUN
ap-6080	183	6	matrix	matrix	NOUN
ap-6080	183	7	to	to	ADP
ap-6080	183	8	the	the	DET
ap-6080	183	9	matrix	matrix	NOUN
ap-6080	183	10	m	m	AUX
ap-6080	183	11	given	give	VERB
ap-6080	183	12	(	(	PUNCT
ap-6080	183	13	28	28	NUM
ap-6080	183	14	)	)	PUNCT
ap-6080	183	15	is	be	AUX
ap-6080	183	16	able	able	ADJ
ap-6080	183	17	to	to	PART
ap-6080	183	18	compute	compute	VERB
ap-6080	183	19	the	the	DET
ap-6080	183	20	inverse	inverse	NOUN
ap-6080	183	21	matrix	matrix	NOUN
ap-6080	183	22	to	to	ADP
ap-6080	183	23	the	the	DET
ap-6080	183	24	matrix	matrix	NOUN
ap-6080	183	25	a	a	PRON
ap-6080	183	26	and	and	CCONJ
ap-6080	183	27	the	the	DET
ap-6080	183	28	inverse	inverse	NOUN
ap-6080	183	29	to	to	ADP
ap-6080	183	30	the	the	DET
ap-6080	183	31	schur	schur	PROPN
ap-6080	183	32	complement	complement	PROPN
ap-6080	183	33	matrix	matrix	NOUN
ap-6080	183	34	s.	s.	PROPN
ap-6080	184	1	in	in	ADP
ap-6080	184	2	order	order	NOUN
ap-6080	184	3	to	to	PART
ap-6080	184	4	solve	solve	VERB
ap-6080	184	5	the	the	DET
ap-6080	184	6	problem	problem	NOUN
ap-6080	184	7	(	(	PUNCT
ap-6080	184	8	27	27	NUM
ap-6080	184	9	)	)	PUNCT
ap-6080	184	10	,	,	PUNCT
ap-6080	184	11	the	the	DET
ap-6080	184	12	three	three	NUM
ap-6080	184	13	sub	sub	NOUN
ap-6080	184	14	-	-	NOUN
ap-6080	184	15	steps	step	NOUN
ap-6080	184	16	can	can	AUX
ap-6080	184	17	be	be	AUX
ap-6080	184	18	followed	follow	VERB
ap-6080	184	19	similarly	similarly	ADV
ap-6080	184	20	as	as	ADP
ap-6080	184	21	in	in	ADP
ap-6080	184	22	section	section	NOUN
ap-6080	184	23	4.1	4.1	NUM
ap-6080	184	24	.	.	PUNCT
ap-6080	185	1	i.	i.	PROPN
ap-6080	185	2	solve	solve	VERB
ap-6080	185	3	the	the	DET
ap-6080	185	4	momentum	momentum	NOUN
ap-6080	185	5	equations	equation	NOUN
ap-6080	185	6	for	for	ADP
ap-6080	185	7	the	the	DET
ap-6080	185	8	intermediate	intermediate	ADJ
ap-6080	185	9	velocity	velocity	NOUN
ap-6080	185	10	field	field	NOUN
ap-6080	185	11	and	and	CCONJ
ap-6080	185	12	update	update	VERB
ap-6080	185	13	the	the	DET
ap-6080	185	14	right	right	ADJ
ap-6080	185	15	hand	hand	NOUN
ap-6080	185	16	side	side	NOUN
ap-6080	185	17	for	for	ADP
ap-6080	185	18	pressure	pressure	NOUN
ap-6080	185	19	by	by	ADP
ap-6080	185	20	subtracting	subtract	VERB
ap-6080	185	21	the	the	DET
ap-6080	185	22	“	"	PUNCT
ap-6080	185	23	divergence	divergence	NOUN
ap-6080	185	24	”	"	PUNCT
ap-6080	185	25	of	of	ADP
ap-6080	185	26	the	the	DET
ap-6080	185	27	intermediate	intermediate	ADJ
ap-6080	185	28	velocity	velocity	NOUN
ap-6080	185	29	field	field	NOUN
ap-6080	185	30	,	,	PUNCT
ap-6080	185	31	i.e.	i.e.	X
ap-6080	185	32	ũ	ũ	PROPN
ap-6080	185	33	:	:	PUNCT
ap-6080	185	34	=	=	SYM
ap-6080	185	35	a−1f	a−1f	X
ap-6080	185	36	,	,	PUNCT
ap-6080	185	37	g̃	g̃	PROPN
ap-6080	185	38	:	:	PUNCT
ap-6080	185	39	=	=	PUNCT
ap-6080	185	40	g	g	PART
ap-6080	185	41	−	−	PROPN
ap-6080	185	42	bt	bt	INTJ
ap-6080	185	43	ũ.	ũ.	PROPN
ap-6080	185	44	ii.solve	ii.solve	VERB
ap-6080	185	45	pressure	pressure	NOUN
ap-6080	185	46	equation	equation	NOUN
ap-6080	185	47	sp	sp	ADP
ap-6080	185	48	=	=	SYM
ap-6080	185	49	g̃	g̃	PROPN
ap-6080	185	50	iii.update	iii.update	ADV
ap-6080	185	51	the	the	DET
ap-6080	185	52	velocity	velocity	NOUN
ap-6080	185	53	field	field	NOUN
ap-6080	185	54	by	by	ADP
ap-6080	185	55	adding	add	VERB
ap-6080	185	56	a	a	DET
ap-6080	185	57	pressure	pressure	NOUN
ap-6080	185	58	gradient	gradient	NOUN
ap-6080	185	59	component	component	NOUN
ap-6080	185	60	to	to	ADP
ap-6080	185	61	the	the	DET
ap-6080	185	62	momentum	momentum	NOUN
ap-6080	185	63	equations	equation	NOUN
ap-6080	185	64	u	u	NOUN
ap-6080	186	1	=	=	NOUN
ap-6080	186	2	ũ−	ũ−	VERB
ap-6080	186	3	a−1(bp	a−1(bp	INTJ
ap-6080	186	4	)	)	PUNCT
ap-6080	186	5	in	in	ADP
ap-6080	186	6	this	this	DET
ap-6080	186	7	process	process	NOUN
ap-6080	186	8	,	,	PUNCT
ap-6080	186	9	the	the	DET
ap-6080	186	10	solution	solution	NOUN
ap-6080	186	11	of	of	ADP
ap-6080	186	12	the	the	DET
ap-6080	186	13	system	system	NOUN
ap-6080	186	14	with	with	ADP
ap-6080	186	15	matrix	matrix	NOUN
ap-6080	186	16	a	a	PRON
ap-6080	186	17	and	and	CCONJ
ap-6080	186	18	the	the	DET
ap-6080	186	19	matrix	matrix	NOUN
ap-6080	186	20	s	s	PART
ap-6080	186	21	needs	need	NOUN
ap-6080	186	22	to	to	PART
ap-6080	186	23	be	be	AUX
ap-6080	186	24	realized	realize	VERB
ap-6080	186	25	.	.	PUNCT
ap-6080	187	1	here	here	ADV
ap-6080	187	2	,	,	PUNCT
ap-6080	187	3	matrix	matrix	VERB
ap-6080	187	4	a	a	PRON
ap-6080	187	5	is	be	AUX
ap-6080	187	6	a	a	DET
ap-6080	187	7	mass	mass	ADJ
ap-6080	187	8	matrix	matrix	NOUN
ap-6080	187	9	perturbed	perturb	VERB
ap-6080	187	10	with	with	ADP
ap-6080	187	11	convectiondiffusion	convectiondiffusion	NOUN
ap-6080	187	12	.	.	PUNCT
ap-6080	188	1	the	the	DET
ap-6080	188	2	stabilization	stabilization	NOUN
ap-6080	188	3	terms	term	NOUN
ap-6080	188	4	and	and	CCONJ
ap-6080	188	5	the	the	DET
ap-6080	188	6	solution	solution	NOUN
ap-6080	188	7	of	of	ADP
ap-6080	188	8	the	the	DET
ap-6080	188	9	system	system	NOUN
ap-6080	188	10	with	with	ADP
ap-6080	188	11	the	the	DET
ap-6080	188	12	matrix	matrix	NOUN
ap-6080	188	13	a	a	PRON
ap-6080	188	14	can	can	AUX
ap-6080	188	15	be	be	AUX
ap-6080	188	16	realized	realize	VERB
ap-6080	188	17	effectively	effectively	ADV
ap-6080	188	18	.	.	PUNCT
ap-6080	189	1	however	however	ADV
ap-6080	189	2	the	the	DET
ap-6080	189	3	solution	solution	NOUN
ap-6080	189	4	of	of	ADP
ap-6080	189	5	the	the	DET
ap-6080	189	6	system	system	NOUN
ap-6080	189	7	with	with	ADP
ap-6080	189	8	the	the	DET
ap-6080	189	9	schur	schur	PROPN
ap-6080	189	10	complement	complement	PROPN
ap-6080	189	11	matrix	matrix	NOUN
ap-6080	189	12	s	s	VERB
ap-6080	189	13	must	must	AUX
ap-6080	189	14	be	be	AUX
ap-6080	189	15	realized	realize	VERB
ap-6080	189	16	iteratively	iteratively	ADV
ap-6080	189	17	.	.	PUNCT
ap-6080	190	1	this	this	PRON
ap-6080	190	2	is	be	AUX
ap-6080	190	3	why	why	SCONJ
ap-6080	190	4	the	the	DET
ap-6080	190	5	above	above	ADJ
ap-6080	190	6	approach	approach	NOUN
ap-6080	190	7	is	be	AUX
ap-6080	190	8	used	use	VERB
ap-6080	190	9	only	only	ADV
ap-6080	190	10	as	as	ADP
ap-6080	190	11	a	a	DET
ap-6080	190	12	preconditioner	preconditioner	NOUN
ap-6080	190	13	for	for	ADP
ap-6080	190	14	gmres	gmre	NOUN
ap-6080	190	15	method	method	NOUN
ap-6080	190	16	,	,	PUNCT
ap-6080	190	17	where	where	SCONJ
ap-6080	190	18	the	the	DET
ap-6080	190	19	matrix	matrix	NOUN
ap-6080	190	20	s	s	VERB
ap-6080	190	21	is	be	AUX
ap-6080	190	22	replaced	replace	VERB
ap-6080	190	23	by	by	ADP
ap-6080	190	24	a	a	DET
ap-6080	190	25	suitable	suitable	ADJ
ap-6080	190	26	approximation	approximation	NOUN
ap-6080	190	27	,	,	PUNCT
ap-6080	190	28	see	see	VERB
ap-6080	190	29	e.g.	e.g.	ADV
ap-6080	190	30	[	[	X
ap-6080	190	31	13	13	NUM
ap-6080	190	32	]	]	PUNCT
ap-6080	190	33	.	.	PUNCT
ap-6080	191	1	figure	figure	NOUN
ap-6080	191	2	4	4	NUM
ap-6080	191	3	.	.	PUNCT
ap-6080	191	4	detail	detail	NOUN
ap-6080	191	5	of	of	ADP
ap-6080	191	6	the	the	DET
ap-6080	191	7	mesh	mesh	NOUN
ap-6080	191	8	for	for	ADP
ap-6080	191	9	the	the	DET
ap-6080	191	10	almost	almost	ADV
ap-6080	191	11	closed	closed	ADJ
ap-6080	191	12	glottal	glottal	ADJ
ap-6080	191	13	part	part	NOUN
ap-6080	191	14	.	.	PUNCT
ap-6080	192	1	in	in	ADP
ap-6080	192	2	the	the	DET
ap-6080	192	3	considered	considered	ADJ
ap-6080	192	4	discretization	discretization	NOUN
ap-6080	192	5	,	,	PUNCT
ap-6080	192	6	the	the	DET
ap-6080	192	7	matrix	matrix	NOUN
ap-6080	192	8	of	of	ADP
ap-6080	192	9	the	the	DET
ap-6080	192	10	system	system	NOUN
ap-6080	192	11	is	be	AUX
ap-6080	192	12	given	give	VERB
ap-6080	192	13	by	by	ADP
ap-6080	192	14	m	m	PROPN
ap-6080	192	15	=	=	PUNCT
ap-6080	192	16	(	(	PUNCT
ap-6080	192	17	a	a	DET
ap-6080	192	18	bt	bt	NOUN
ap-6080	192	19	−b	−b	NOUN
ap-6080	192	20	d	d	PROPN
ap-6080	192	21	)	)	PUNCT
ap-6080	192	22	,	,	PUNCT
ap-6080	192	23	b	b	X
ap-6080	192	24	=	=	PRON
ap-6080	192	25	(	(	PUNCT
ap-6080	192	26	f	f	PROPN
ap-6080	192	27	g	g	PROPN
ap-6080	192	28	)	)	PUNCT
ap-6080	192	29	.	.	PUNCT
ap-6080	193	1	(	(	PUNCT
ap-6080	193	2	30	30	NUM
ap-6080	193	3	)	)	PUNCT
ap-6080	193	4	where	where	SCONJ
ap-6080	193	5	the	the	DET
ap-6080	193	6	matrix	matrix	NOUN
ap-6080	193	7	a	a	PRON
ap-6080	193	8	is	be	AUX
ap-6080	193	9	(	(	PUNCT
ap-6080	193	10	possibly	possibly	ADV
ap-6080	193	11	)	)	PUNCT
ap-6080	193	12	a	a	DET
ap-6080	193	13	non	non	ADJ
ap-6080	193	14	-	-	ADJ
ap-6080	193	15	symmetric	symmetric	ADJ
ap-6080	193	16	positive	positive	ADJ
ap-6080	193	17	definite	definite	ADJ
ap-6080	193	18	,	,	PUNCT
ap-6080	193	19	the	the	DET
ap-6080	193	20	matrix	matrix	NOUN
ap-6080	193	21	b	b	NOUN
ap-6080	193	22	has	have	AUX
ap-6080	193	23	full	full	ADJ
ap-6080	193	24	rank	rank	NOUN
ap-6080	193	25	and	and	CCONJ
ap-6080	193	26	matrix	matrix	NOUN
ap-6080	193	27	d	d	NOUN
ap-6080	193	28	is	be	AUX
ap-6080	193	29	positive	positive	ADJ
ap-6080	193	30	semidefinite	semidefinite	NOUN
ap-6080	193	31	.	.	PUNCT
ap-6080	194	1	in	in	ADP
ap-6080	194	2	this	this	DET
ap-6080	194	3	case	case	NOUN
ap-6080	194	4	the	the	DET
ap-6080	194	5	matrix	matrix	NOUN
ap-6080	194	6	m	m	VERB
ap-6080	194	7	can	can	AUX
ap-6080	194	8	be	be	AUX
ap-6080	194	9	factorized	factorize	VERB
ap-6080	194	10	as	as	ADP
ap-6080	194	11	m	m	PROPN
ap-6080	194	12	=	=	PUNCT
ap-6080	194	13	(	(	PUNCT
ap-6080	194	14	i	i	NOUN
ap-6080	194	15	0	0	NUM
ap-6080	194	16	−ba−1	−ba−1	PROPN
ap-6080	194	17	i	i	INTJ
ap-6080	194	18	)	)	PUNCT
ap-6080	194	19	(	(	PUNCT
ap-6080	194	20	a	a	DET
ap-6080	194	21	0	0	NUM
ap-6080	194	22	0	0	NUM
ap-6080	194	23	s1	s1	NOUN
ap-6080	194	24	)	)	PUNCT
ap-6080	194	25	(	(	PUNCT
ap-6080	194	26	i	i	PRON
ap-6080	194	27	a−1bt	a−1bt	VERB
ap-6080	194	28	0	0	PUNCT
ap-6080	195	1	i	i	NOUN
ap-6080	195	2	)	)	PUNCT
ap-6080	195	3	(	(	PUNCT
ap-6080	195	4	31	31	NUM
ap-6080	195	5	)	)	PUNCT
ap-6080	195	6	where	where	SCONJ
ap-6080	195	7	s1	s1	NOUN
ap-6080	195	8	is	be	AUX
ap-6080	195	9	the	the	DET
ap-6080	195	10	pressure	pressure	NOUN
ap-6080	195	11	schur	schur	PROPN
ap-6080	195	12	complement	complement	PROPN
ap-6080	195	13	given	give	VERB
ap-6080	195	14	as	as	ADP
ap-6080	195	15	s1	s1	NOUN
ap-6080	195	16	=	=	SYM
ap-6080	195	17	s	s	PART
ap-6080	195	18	+	+	X
ap-6080	195	19	ba−1bt	ba−1bt	NUM
ap-6080	195	20	.	.	PUNCT
ap-6080	196	1	5	5	X
ap-6080	196	2	.	.	X
ap-6080	196	3	numerical	numerical	PROPN
ap-6080	196	4	results	result	NOUN
ap-6080	196	5	first	first	ADV
ap-6080	196	6	,	,	PUNCT
ap-6080	196	7	the	the	DET
ap-6080	196	8	oseen	oseen	NOUN
ap-6080	196	9	problem	problem	NOUN
ap-6080	196	10	is	be	AUX
ap-6080	196	11	considered	consider	VERB
ap-6080	196	12	−ν4u+	−ν4u+	PROPN
ap-6080	196	13	b	b	NOUN
ap-6080	196	14	·	·	PUNCT
ap-6080	196	15	∇u+∇p+	∇u+∇p+	ADJ
ap-6080	196	16	αu	αu	NOUN
ap-6080	196	17	=	=	SYM
ap-6080	196	18	f	f	PROPN
ap-6080	196	19	,	,	PUNCT
ap-6080	196	20	∇	∇	X
ap-6080	196	21	·	·	PUNCT
ap-6080	196	22	u	u	NOUN
ap-6080	196	23	=	=	NOUN
ap-6080	196	24	0	0	NUM
ap-6080	196	25	in	in	ADP
ap-6080	196	26	the	the	DET
ap-6080	196	27	computational	computational	ADJ
ap-6080	196	28	domain	domain	NOUN
ap-6080	196	29	ω	ω	NOUN
ap-6080	196	30	=	=	SYM
ap-6080	196	31	(	(	PUNCT
ap-6080	196	32	0	0	NUM
ap-6080	196	33	,	,	PUNCT
ap-6080	196	34	1)2	1)2	NUM
ap-6080	196	35	.	.	PUNCT
ap-6080	197	1	the	the	DET
ap-6080	197	2	problem	problem	NOUN
ap-6080	197	3	is	be	AUX
ap-6080	197	4	equipped	equip	VERB
ap-6080	197	5	with	with	ADP
ap-6080	197	6	the	the	DET
ap-6080	197	7	dirichlet	dirichlet	PROPN
ap-6080	197	8	boundary	boundary	PROPN
ap-6080	197	9	condition	condition	NOUN
ap-6080	197	10	u	u	NOUN
ap-6080	197	11	=	=	SYM
ap-6080	197	12	b	b	NOUN
ap-6080	197	13	prescribed	prescribe	VERB
ap-6080	197	14	at	at	ADP
ap-6080	197	15	∂ω	∂ω	PROPN
ap-6080	197	16	.	.	PUNCT
ap-6080	198	1	here	here	ADV
ap-6080	198	2	,	,	PUNCT
ap-6080	198	3	α	α	PROPN
ap-6080	198	4	=	=	SYM
ap-6080	198	5	0	0	NUM
ap-6080	198	6	is	be	AUX
ap-6080	198	7	used	use	VERB
ap-6080	198	8	,	,	PUNCT
ap-6080	198	9	b	b	X
ap-6080	198	10	=	=	SYM
ap-6080	198	11	(	(	PUNCT
ap-6080	198	12	sin(πx),−πy	sin(πx),−πy	X
ap-6080	198	13	cos(πx	cos(πx	NOUN
ap-6080	198	14	)	)	PUNCT
ap-6080	198	15	)	)	PUNCT
ap-6080	198	16	and	and	CCONJ
ap-6080	198	17	the	the	DET
ap-6080	198	18	right	right	ADJ
ap-6080	198	19	hand	hand	NOUN
ap-6080	198	20	side	side	NOUN
ap-6080	198	21	f	f	PROPN
ap-6080	198	22	is	be	AUX
ap-6080	198	23	chosen	choose	VERB
ap-6080	198	24	in	in	ADP
ap-6080	198	25	such	such	DET
ap-6080	198	26	a	a	DET
ap-6080	198	27	way	way	NOUN
ap-6080	198	28	that	that	PRON
ap-6080	198	29	u	u	PRON
ap-6080	198	30	=	=	PUNCT
ap-6080	198	31	(	(	PUNCT
ap-6080	198	32	sin(πx),−πy	sin(πx),−πy	X
ap-6080	198	33	cos(πx	cos(πx	NOUN
ap-6080	198	34	)	)	PUNCT
ap-6080	198	35	)	)	PUNCT
ap-6080	198	36	is	be	AUX
ap-6080	198	37	solution	solution	NOUN
ap-6080	198	38	of	of	ADP
ap-6080	198	39	the	the	DET
ap-6080	198	40	oseen	oseen	NOUN
ap-6080	198	41	problem	problem	NOUN
ap-6080	198	42	.	.	PUNCT
ap-6080	199	1	the	the	DET
ap-6080	199	2	computations	computation	NOUN
ap-6080	199	3	were	be	AUX
ap-6080	199	4	performed	perform	VERB
ap-6080	199	5	for	for	ADP
ap-6080	199	6	different	different	ADJ
ap-6080	199	7	values	value	NOUN
ap-6080	199	8	of	of	ADP
ap-6080	199	9	the	the	DET
ap-6080	199	10	viscosity	viscosity	NOUN
ap-6080	199	11	coefficient	coefficient	NOUN
ap-6080	199	12	nu	nu	PROPN
ap-6080	199	13	.	.	PROPN
ap-6080	200	1	first	first	PROPN
ap-6080	200	2	,	,	PUNCT
ap-6080	200	3	the	the	DET
ap-6080	200	4	convergence	convergence	NOUN
ap-6080	200	5	of	of	ADP
ap-6080	200	6	the	the	DET
ap-6080	200	7	galerkin	galerkin	PROPN
ap-6080	200	8	finite	finite	PROPN
ap-6080	200	9	element	element	NOUN
ap-6080	200	10	approximations	approximation	NOUN
ap-6080	200	11	ugh	ugh	PROPN
ap-6080	200	12	to	to	ADP
ap-6080	200	13	the	the	DET
ap-6080	200	14	exact	exact	ADJ
ap-6080	200	15	solution	solution	NOUN
ap-6080	200	16	u	u	NOUN
ap-6080	200	17	=	=	SYM
ap-6080	200	18	b	b	PROPN
ap-6080	200	19	is	be	AUX
ap-6080	200	20	investigated	investigate	VERB
ap-6080	200	21	,	,	PUNCT
ap-6080	200	22	p(x	p(x	PROPN
ap-6080	200	23	,	,	PUNCT
ap-6080	200	24	y	y	NOUN
ap-6080	200	25	)	)	PUNCT
ap-6080	200	26	=	=	SYM
ap-6080	200	27	sin(πx	sin(πx	NOUN
ap-6080	200	28	)	)	PUNCT
ap-6080	200	29	cos(πy	cos(πy	NUM
ap-6080	200	30	)	)	PUNCT
ap-6080	200	31	for	for	ADP
ap-6080	200	32	ν	ν	NOUN
ap-6080	200	33	=	=	SYM
ap-6080	200	34	0.05	0.05	NUM
ap-6080	200	35	(	(	PUNCT
ap-6080	200	36	here	here	ADV
ap-6080	200	37	,	,	PUNCT
ap-6080	200	38	relatively	relatively	ADV
ap-6080	200	39	high	high	ADJ
ap-6080	200	40	viscosity	viscosity	NOUN
ap-6080	200	41	was	be	AUX
ap-6080	200	42	chosen	choose	VERB
ap-6080	200	43	in	in	ADP
ap-6080	200	44	order	order	NOUN
ap-6080	200	45	to	to	PART
ap-6080	200	46	obtain	obtain	VERB
ap-6080	200	47	stable	stable	ADJ
ap-6080	200	48	galerkin	galerkin	ADJ
ap-6080	200	49	approximations	approximation	NOUN
ap-6080	200	50	even	even	ADV
ap-6080	200	51	on	on	ADP
ap-6080	200	52	coarser	coarse	ADJ
ap-6080	200	53	meshes	mesh	NOUN
ap-6080	200	54	)	)	PUNCT
ap-6080	200	55	.	.	PUNCT
ap-6080	201	1	for	for	ADP
ap-6080	201	2	an	an	DET
ap-6080	201	3	approximation	approximation	NOUN
ap-6080	201	4	of	of	ADP
ap-6080	201	5	the	the	DET
ap-6080	201	6	flow	flow	NOUN
ap-6080	201	7	problem	problem	NOUN
ap-6080	201	8	,	,	PUNCT
ap-6080	201	9	the	the	DET
ap-6080	201	10	taylor	taylor	PROPN
ap-6080	201	11	hood	hood	PROPN
ap-6080	201	12	finite	finite	PROPN
ap-6080	201	13	elements	element	NOUN
ap-6080	201	14	were	be	AUX
ap-6080	201	15	used	use	VERB
ap-6080	201	16	.	.	PUNCT
ap-6080	202	1	the	the	DET
ap-6080	202	2	errors	error	NOUN
ap-6080	202	3	in	in	ADP
ap-6080	202	4	the	the	DET
ap-6080	202	5	h1	h1	NOUN
ap-6080	202	6	norm	norm	NOUN
ap-6080	202	7	are	be	AUX
ap-6080	202	8	shown	show	VERB
ap-6080	202	9	in	in	ADP
ap-6080	202	10	table	table	NOUN
ap-6080	202	11	1	1	NUM
ap-6080	202	12	,	,	PUNCT
ap-6080	202	13	where	where	SCONJ
ap-6080	202	14	by	by	ADP
ap-6080	202	15	hmax	hmax	NOUN
ap-6080	202	16	the	the	DET
ap-6080	202	17	length	length	NOUN
ap-6080	202	18	of	of	ADP
ap-6080	202	19	the	the	DET
ap-6080	202	20	maximal	maximal	ADJ
ap-6080	202	21	edge	edge	NOUN
ap-6080	202	22	in	in	ADP
ap-6080	202	23	the	the	DET
ap-6080	202	24	triangulation	triangulation	NOUN
ap-6080	202	25	is	be	AUX
ap-6080	202	26	denoted	denote	VERB
ap-6080	202	27	.	.	PUNCT
ap-6080	203	1	these	these	DET
ap-6080	203	2	results	result	NOUN
ap-6080	203	3	are	be	AUX
ap-6080	203	4	compared	compare	VERB
ap-6080	203	5	to	to	ADP
ap-6080	203	6	the	the	DET
ap-6080	203	7	results	result	NOUN
ap-6080	203	8	of	of	ADP
ap-6080	203	9	the	the	DET
ap-6080	203	10	stabilized	stabilize	VERB
ap-6080	203	11	formulation	formulation	NOUN
ap-6080	203	12	of	of	ADP
ap-6080	203	13	the	the	DET
ap-6080	203	14	same	same	ADJ
ap-6080	203	15	problem	problem	NOUN
ap-6080	203	16	,	,	PUNCT
ap-6080	203	17	which	which	PRON
ap-6080	203	18	shows	show	VERB
ap-6080	203	19	that	that	SCONJ
ap-6080	203	20	the	the	DET
ap-6080	203	21	used	use	VERB
ap-6080	203	22	residual	residual	ADJ
ap-6080	203	23	based	base	VERB
ap-6080	203	24	stabilization	stabilization	NOUN
ap-6080	203	25	does	do	AUX
ap-6080	203	26	not	not	PART
ap-6080	203	27	pollute	pollute	VERB
ap-6080	203	28	the	the	DET
ap-6080	203	29	solution	solution	NOUN
ap-6080	203	30	,	,	PUNCT
ap-6080	203	31	see	see	VERB
ap-6080	203	32	table	table	NOUN
ap-6080	203	33	2	2	NUM
ap-6080	203	34	.	.	PUNCT
ap-6080	204	1	the	the	DET
ap-6080	204	2	convergence	convergence	NOUN
ap-6080	204	3	orders	order	NOUN
ap-6080	204	4	in	in	ADP
ap-6080	204	5	both	both	DET
ap-6080	204	6	cases	case	NOUN
ap-6080	204	7	agree	agree	VERB
ap-6080	204	8	well	well	ADV
ap-6080	204	9	with	with	ADP
ap-6080	204	10	the	the	DET
ap-6080	204	11	theoretical	theoretical	ADJ
ap-6080	204	12	estimate	estimate	NOUN
ap-6080	204	13	.	.	PUNCT
ap-6080	205	1	for	for	ADP
ap-6080	205	2	the	the	DET
ap-6080	205	3	stabilized	stabilize	VERB
ap-6080	205	4	method	method	NOUN
ap-6080	205	5	such	such	ADJ
ap-6080	205	6	convergence	convergence	NOUN
ap-6080	205	7	rates	rate	NOUN
ap-6080	205	8	are	be	AUX
ap-6080	205	9	well	well	ADV
ap-6080	205	10	preserved	preserve	VERB
ap-6080	205	11	for	for	ADP
ap-6080	205	12	the	the	DET
ap-6080	205	13	values	value	NOUN
ap-6080	205	14	ν	ν	X
ap-6080	205	15	=	=	SYM
ap-6080	205	16	10−3	10−3	NUM
ap-6080	205	17	,	,	PUNCT
ap-6080	205	18	.	.	PUNCT
ap-6080	205	19	.	.	PUNCT
ap-6080	206	1	.	.	PUNCT
ap-6080	207	1	,	,	PUNCT
ap-6080	207	2	10−6	10−6	NUM
ap-6080	207	3	with	with	ADP
ap-6080	207	4	a	a	DET
ap-6080	207	5	slow	slow	ADJ
ap-6080	207	6	down	down	ADP
ap-6080	207	7	observed	observe	VERB
ap-6080	207	8	only	only	ADV
ap-6080	207	9	for	for	ADP
ap-6080	207	10	coarse	coarse	ADJ
ap-6080	207	11	grid	grid	NOUN
ap-6080	207	12	configuration	configuration	NOUN
ap-6080	207	13	.	.	PUNCT
ap-6080	208	1	160	160	NUM
ap-6080	208	2	vol	vol	NOUN
ap-6080	208	3	.	.	PUNCT
ap-6080	209	1	61	61	NUM
ap-6080	209	2	special	special	ADJ
ap-6080	209	3	issue/2021	issue/2021	NOUN
ap-6080	209	4	numerical	numerical	ADJ
ap-6080	209	5	solution	solution	NOUN
ap-6080	209	6	of	of	ADP
ap-6080	209	7	fsi	fsi	PROPN
ap-6080	209	8	problems	problem	NOUN
ap-6080	209	9	with	with	ADP
ap-6080	209	10	contacts	contact	NOUN
ap-6080	209	11	hmax	hmax	VERB
ap-6080	209	12	h1(u	h1(u	NUM
ap-6080	209	13	)	)	PUNCT
ap-6080	209	14	h1(v	h1(v	NOUN
ap-6080	209	15	)	)	PUNCT
ap-6080	209	16	h1(p	h1(p	NOUN
ap-6080	209	17	)	)	PUNCT
ap-6080	209	18	0.333174	0.333174	NUM
ap-6080	209	19	0.148971	0.148971	NUM
ap-6080	209	20	0.278814	0.278814	NUM
ap-6080	209	21	0.824015	0.824015	NUM
ap-6080	209	22	0.166358	0.166358	NUM
ap-6080	209	23	0.0294769	0.0294769	NUM
ap-6080	209	24	0.0389521	0.0389521	NUM
ap-6080	209	25	0.306831	0.306831	NUM
ap-6080	209	26	0.0881204	0.0881204	NUM
ap-6080	209	27	0.00751673	0.00751673	NUM
ap-6080	209	28	0.00970303	0.00970303	NUM
ap-6080	209	29	0.155735	0.155735	NUM
ap-6080	210	1	0.0449673	0.0449673	NUM
ap-6080	210	2	0.00178417	0.00178417	NUM
ap-6080	210	3	0.00225841	0.00225841	NUM
ap-6080	210	4	0.0781441	0.0781441	NUM
ap-6080	210	5	0.0230627	0.0230627	NUM
ap-6080	210	6	0.000444434	0.000444434	NUM
ap-6080	211	1	0.00055994	0.00055994	NUM
ap-6080	211	2	0.038375	0.038375	NUM
ap-6080	211	3	0.0118955	0.0118955	NUM
ap-6080	211	4	0.000107972	0.000107972	NUM
ap-6080	211	5	0.000139096	0.000139096	NUM
ap-6080	211	6	0.0192135	0.0192135	NUM
ap-6080	211	7	order	order	NOUN
ap-6080	211	8	2.14	2.14	NUM
ap-6080	211	9	2.17	2.17	NUM
ap-6080	211	10	1.07	1.07	NUM
ap-6080	211	11	table	table	NOUN
ap-6080	211	12	1	1	NUM
ap-6080	211	13	.	.	PUNCT
ap-6080	211	14	convergence	convergence	NOUN
ap-6080	211	15	of	of	ADP
ap-6080	211	16	galerkin	galerkin	PROPN
ap-6080	211	17	fe	fe	PROPN
ap-6080	211	18	method	method	NOUN
ap-6080	211	19	to	to	ADP
ap-6080	211	20	the	the	DET
ap-6080	211	21	solution	solution	NOUN
ap-6080	211	22	of	of	ADP
ap-6080	211	23	the	the	DET
ap-6080	211	24	oseen	oseen	NOUN
ap-6080	211	25	problem	problem	NOUN
ap-6080	211	26	with	with	ADP
ap-6080	211	27	convergence	convergence	NOUN
ap-6080	211	28	order	order	NOUN
ap-6080	211	29	estimate	estimate	VERB
ap-6080	211	30	hmax	hmax	PROPN
ap-6080	211	31	h1(u	h1(u	PROPN
ap-6080	211	32	)	)	PUNCT
ap-6080	211	33	h1(v	h1(v	NOUN
ap-6080	211	34	)	)	PUNCT
ap-6080	212	1	h1(p	h1(p	NOUN
ap-6080	212	2	)	)	PUNCT
ap-6080	212	3	0.333174	0.333174	NUM
ap-6080	212	4	0.148971	0.148971	NUM
ap-6080	212	5	0.278814	0.278814	NUM
ap-6080	212	6	0.824015	0.824015	NUM
ap-6080	212	7	0.158053	0.158053	NUM
ap-6080	212	8	0.0385103	0.0385103	NUM
ap-6080	213	1	0.0479786	0.0479786	NUM
ap-6080	213	2	0.332202	0.332202	NUM
ap-6080	213	3	0.0877183	0.0877183	NUM
ap-6080	213	4	0.00912475	0.00912475	NUM
ap-6080	214	1	0.0113478	0.0113478	NUM
ap-6080	214	2	0.162359	0.162359	NUM
ap-6080	214	3	0.0451748	0.0451748	NUM
ap-6080	214	4	0.00239609	0.00239609	NUM
ap-6080	214	5	0.00279304	0.00279304	NUM
ap-6080	214	6	0.0821471	0.0821471	NUM
ap-6080	214	7	0.0235271	0.0235271	NUM
ap-6080	214	8	0.000593443	0.000593443	NUM
ap-6080	214	9	0.000695859	0.000695859	NUM
ap-6080	214	10	0.0402822	0.0402822	NUM
ap-6080	214	11	0.0119951	0.0119951	NUM
ap-6080	214	12	0.000148245	0.000148245	NUM
ap-6080	214	13	0.000174687	0.000174687	NUM
ap-6080	214	14	0.0201917	0.0201917	NUM
ap-6080	214	15	order	order	NOUN
ap-6080	214	16	2.06	2.06	NUM
ap-6080	214	17	2.05	2.05	NUM
ap-6080	214	18	1.03	1.03	NUM
ap-6080	214	19	table	table	NOUN
ap-6080	214	20	2	2	NUM
ap-6080	214	21	.	.	X
ap-6080	214	22	convergence	convergence	NOUN
ap-6080	214	23	of	of	ADP
ap-6080	214	24	stabilized	stabilize	VERB
ap-6080	214	25	fe	fe	NOUN
ap-6080	214	26	method	method	NOUN
ap-6080	214	27	to	to	ADP
ap-6080	214	28	the	the	DET
ap-6080	214	29	solution	solution	NOUN
ap-6080	214	30	of	of	ADP
ap-6080	214	31	the	the	DET
ap-6080	214	32	oseen	oseen	NOUN
ap-6080	214	33	problem	problem	NOUN
ap-6080	214	34	with	with	ADP
ap-6080	214	35	convergence	convergence	NOUN
ap-6080	214	36	order	order	NOUN
ap-6080	214	37	estimate	estimate	VERB
ap-6080	214	38	hmax	hmax	PROPN
ap-6080	214	39	h1(u	h1(u	PROPN
ap-6080	214	40	)	)	PUNCT
ap-6080	214	41	h1(v	h1(v	NOUN
ap-6080	214	42	)	)	PUNCT
ap-6080	215	1	h1(p	h1(p	NOUN
ap-6080	215	2	)	)	PUNCT
ap-6080	216	1	0.333174	0.333174	NUM
ap-6080	216	2	0.0895357	0.0895357	NUM
ap-6080	216	3	0.149882	0.149882	NUM
ap-6080	216	4	0.764274	0.764274	NUM
ap-6080	216	5	0.158053	0.158053	NUM
ap-6080	216	6	0.0211092	0.0211092	NUM
ap-6080	216	7	0.033792	0.033792	NUM
ap-6080	216	8	0.322219	0.322219	NUM
ap-6080	216	9	0.0877183	0.0877183	NUM
ap-6080	216	10	0.00602738	0.00602738	NUM
ap-6080	216	11	0.00931535	0.00931535	NUM
ap-6080	216	12	0.160369	0.160369	NUM
ap-6080	216	13	0.0451748	0.0451748	NUM
ap-6080	216	14	0.00158538	0.00158538	NUM
ap-6080	216	15	0.00240926	0.00240926	NUM
ap-6080	216	16	0.0810965	0.0810965	NUM
ap-6080	217	1	0.0235271	0.0235271	NUM
ap-6080	217	2	0.000394708	0.000394708	NUM
ap-6080	217	3	0.000603108	0.000603108	NUM
ap-6080	217	4	0.0397932	0.0397932	NUM
ap-6080	217	5	order	order	NOUN
ap-6080	217	6	1.94	1.94	NUM
ap-6080	217	7	2	2	NUM
ap-6080	217	8	1.16	1.16	NUM
ap-6080	217	9	table	table	NOUN
ap-6080	217	10	3	3	NUM
ap-6080	217	11	.	.	X
ap-6080	217	12	convergence	convergence	NOUN
ap-6080	217	13	of	of	ADP
ap-6080	217	14	stabilized	stabilize	VERB
ap-6080	217	15	fe	fe	NOUN
ap-6080	217	16	method	method	NOUN
ap-6080	217	17	to	to	ADP
ap-6080	217	18	the	the	DET
ap-6080	217	19	solution	solution	NOUN
ap-6080	217	20	of	of	ADP
ap-6080	217	21	the	the	DET
ap-6080	217	22	navier	navier	NOUN
ap-6080	217	23	-	-	PUNCT
ap-6080	217	24	stokes	stoke	NOUN
ap-6080	217	25	problem	problem	NOUN
ap-6080	217	26	with	with	ADP
ap-6080	217	27	convergence	convergence	NOUN
ap-6080	217	28	order	order	NOUN
ap-6080	217	29	estimate	estimate	NOUN
ap-6080	217	30	-0.08	-0.08	NUM
ap-6080	217	31	-0.06	-0.06	NUM
ap-6080	217	32	-0.04	-0.04	NUM
ap-6080	217	33	-0.02	-0.02	NUM
ap-6080	217	34	0	0	NUM
ap-6080	217	35	0.02	0.02	NUM
ap-6080	217	36	0.04	0.04	NUM
ap-6080	217	37	0.06	0.06	NUM
ap-6080	217	38	1.2	1.2	NUM
ap-6080	217	39	1.3	1.3	NUM
ap-6080	217	40	1.4	1.4	NUM
ap-6080	217	41	1.5	1.5	NUM
ap-6080	217	42	1.6	1.6	NUM
ap-6080	217	43	1.7	1.7	NUM
ap-6080	217	44	1.8	1.8	NUM
ap-6080	217	45	1.9	1.9	NUM
ap-6080	217	46	t[s	t[s	NUM
ap-6080	217	47	]	]	PUNCT
ap-6080	217	48	-0.05	-0.05	NUM
ap-6080	217	49	-0.04	-0.04	NUM
ap-6080	217	50	-0.03	-0.03	NUM
ap-6080	217	51	-0.02	-0.02	NUM
ap-6080	217	52	-0.01	-0.01	NUM
ap-6080	217	53	0	0	NUM
ap-6080	217	54	0.01	0.01	NUM
ap-6080	217	55	0.02	0.02	NUM
ap-6080	217	56	0.03	0.03	NUM
ap-6080	217	57	0.04	0.04	NUM
ap-6080	217	58	0.05	0.05	NUM
ap-6080	217	59	1.2	1.2	NUM
ap-6080	217	60	1.3	1.3	NUM
ap-6080	217	61	1.4	1.4	NUM
ap-6080	217	62	1.5	1.5	NUM
ap-6080	217	63	1.6	1.6	NUM
ap-6080	217	64	1.7	1.7	NUM
ap-6080	217	65	1.8	1.8	NUM
ap-6080	217	66	1.9	1.9	NUM
ap-6080	217	67	t[s	t[s	NUM
ap-6080	217	68	]	]	PUNCT
ap-6080	217	69	figure	figure	NOUN
ap-6080	217	70	5	5	NUM
ap-6080	217	71	.	.	PUNCT
ap-6080	218	1	the	the	DET
ap-6080	218	2	aeroelastic	aeroelastic	ADJ
ap-6080	218	3	response	response	NOUN
ap-6080	218	4	in	in	ADP
ap-6080	218	5	terms	term	NOUN
ap-6080	218	6	of	of	ADP
ap-6080	218	7	w1(in	w1(in	PROPN
ap-6080	218	8	mm	mm	PROPN
ap-6080	218	9	,	,	PUNCT
ap-6080	218	10	top	top	ADJ
ap-6080	218	11	)	)	PUNCT
ap-6080	218	12	and	and	CCONJ
ap-6080	218	13	w2	w2	NOUN
ap-6080	218	14	(	(	PUNCT
ap-6080	218	15	in	in	ADP
ap-6080	218	16	mm	mm	PROPN
ap-6080	218	17	,	,	PUNCT
ap-6080	218	18	bottom	bottom	NOUN
ap-6080	218	19	)	)	PUNCT
ap-6080	218	20	of	of	ADP
ap-6080	218	21	the	the	DET
ap-6080	218	22	structure	structure	NOUN
ap-6080	218	23	for	for	ADP
ap-6080	218	24	flow	flow	NOUN
ap-6080	218	25	velocity	velocity	NOUN
ap-6080	218	26	u∞	u∞	NOUN
ap-6080	219	1	=	=	SYM
ap-6080	219	2	0.65	0.65	NUM
ap-6080	219	3	m	m	PROPN
ap-6080	219	4	/	/	SYM
ap-6080	219	5	s	s	PART
ap-6080	219	6	phonation	phonation	NOUN
ap-6080	219	7	onset	onset	NOUN
ap-6080	219	8	-1	-1	PUNCT
ap-6080	219	9	-0.8	-0.8	PROPN
ap-6080	219	10	-0.6	-0.6	PROPN
ap-6080	219	11	-0.4	-0.4	X
ap-6080	219	12	-0.2	-0.2	PROPN
ap-6080	219	13	0	0	NUM
ap-6080	219	14	0.2	0.2	NUM
ap-6080	219	15	0.4	0.4	NUM
ap-6080	219	16	1.9	1.9	NUM
ap-6080	219	17	1.95	1.95	NUM
ap-6080	219	18	2	2	NUM
ap-6080	219	19	2.05	2.05	NUM
ap-6080	219	20	2.1	2.1	NUM
ap-6080	219	21	2.15	2.15	NUM
ap-6080	219	22	2.2	2.2	NUM
ap-6080	219	23	2.25	2.25	NUM
ap-6080	219	24	2.3	2.3	NUM
ap-6080	219	25	t[s	t[s	NUM
ap-6080	219	26	]	]	PUNCT
ap-6080	219	27	-0.5	-0.5	PROPN
ap-6080	219	28	-0.4	-0.4	PROPN
ap-6080	219	29	-0.3	-0.3	PROPN
ap-6080	219	30	-0.2	-0.2	PROPN
ap-6080	219	31	-0.1	-0.1	PROPN
ap-6080	219	32	0	0	NUM
ap-6080	219	33	0.1	0.1	NUM
ap-6080	219	34	0.2	0.2	NUM
ap-6080	219	35	0.3	0.3	NUM
ap-6080	219	36	1.9	1.9	NUM
ap-6080	219	37	1.95	1.95	NUM
ap-6080	219	38	2	2	NUM
ap-6080	219	39	2.05	2.05	NUM
ap-6080	219	40	2.1	2.1	NUM
ap-6080	219	41	2.15	2.15	NUM
ap-6080	219	42	2.2	2.2	NUM
ap-6080	219	43	2.25	2.25	NUM
ap-6080	219	44	2.3	2.3	NUM
ap-6080	219	45	t[s	t[s	NUM
ap-6080	219	46	]	]	PUNCT
ap-6080	219	47	figure	figure	NOUN
ap-6080	219	48	6	6	NUM
ap-6080	219	49	.	.	PUNCT
ap-6080	220	1	the	the	DET
ap-6080	220	2	aeroelastic	aeroelastic	ADJ
ap-6080	220	3	response	response	NOUN
ap-6080	220	4	in	in	ADP
ap-6080	220	5	terms	term	NOUN
ap-6080	220	6	of	of	ADP
ap-6080	220	7	w1(in	w1(in	PROPN
ap-6080	220	8	mm	mm	PROPN
ap-6080	220	9	,	,	PUNCT
ap-6080	220	10	top	top	ADJ
ap-6080	220	11	)	)	PUNCT
ap-6080	220	12	and	and	CCONJ
ap-6080	220	13	w2	w2	NOUN
ap-6080	220	14	(	(	PUNCT
ap-6080	220	15	in	in	ADP
ap-6080	220	16	mm	mm	PROPN
ap-6080	220	17	,	,	PUNCT
ap-6080	220	18	bottom	bottom	NOUN
ap-6080	220	19	)	)	PUNCT
ap-6080	220	20	of	of	ADP
ap-6080	220	21	the	the	DET
ap-6080	220	22	structure	structure	NOUN
ap-6080	220	23	for	for	ADP
ap-6080	220	24	flow	flow	NOUN
ap-6080	220	25	velocity	velocity	NOUN
ap-6080	220	26	u∞	u∞	NOUN
ap-6080	221	1	=	=	SYM
ap-6080	221	2	0.65	0.65	NUM
ap-6080	221	3	m	m	PROPN
ap-6080	221	4	/	/	SYM
ap-6080	221	5	s	s	PART
ap-6080	221	6	phonation	phonation	NOUN
ap-6080	221	7	phase	phase	NOUN
ap-6080	221	8	with	with	ADP
ap-6080	221	9	almost	almost	ADV
ap-6080	221	10	periodical	periodical	ADJ
ap-6080	221	11	oscillations	oscillation	NOUN
ap-6080	221	12	-0.0006	-0.0006	NOUN
ap-6080	221	13	-0.0004	-0.0004	PROPN
ap-6080	221	14	-0.0002	-0.0002	NOUN
ap-6080	221	15	0	0	NUM
ap-6080	222	1	0.0002	0.0002	NUM
ap-6080	222	2	0.0004	0.0004	NUM
ap-6080	222	3	0.0006	0.0006	NUM
ap-6080	222	4	0	0	NUM
ap-6080	222	5	0.05	0.05	NUM
ap-6080	222	6	0.1	0.1	NUM
ap-6080	222	7	0.15	0.15	NUM
ap-6080	222	8	0.2	0.2	NUM
ap-6080	222	9	t[s	t[s	NUM
ap-6080	222	10	]	]	PUNCT
ap-6080	222	11	-0.0004	-0.0004	PROPN
ap-6080	222	12	-0.0003	-0.0003	PROPN
ap-6080	222	13	-0.0002	-0.0002	NOUN
ap-6080	222	14	-0.0001	-0.0001	NOUN
ap-6080	222	15	0	0	NUM
ap-6080	223	1	0.0001	0.0001	NUM
ap-6080	223	2	0.0002	0.0002	NUM
ap-6080	223	3	0.0003	0.0003	NUM
ap-6080	223	4	0.0004	0.0004	NUM
ap-6080	223	5	0	0	NUM
ap-6080	223	6	0.05	0.05	NUM
ap-6080	223	7	0.1	0.1	NUM
ap-6080	223	8	0.15	0.15	NUM
ap-6080	223	9	0.2	0.2	NUM
ap-6080	223	10	t[s	t[s	NUM
ap-6080	223	11	]	]	PUNCT
ap-6080	223	12	figure	figure	NOUN
ap-6080	223	13	7	7	NUM
ap-6080	223	14	.	.	PUNCT
ap-6080	224	1	the	the	DET
ap-6080	224	2	aeroelastic	aeroelastic	ADJ
ap-6080	224	3	response	response	NOUN
ap-6080	224	4	of	of	ADP
ap-6080	224	5	the	the	DET
ap-6080	224	6	structure	structure	NOUN
ap-6080	224	7	in	in	ADP
ap-6080	224	8	terms	term	NOUN
ap-6080	224	9	of	of	ADP
ap-6080	224	10	w1(in	w1(in	PROPN
ap-6080	224	11	mm	mm	PROPN
ap-6080	224	12	,	,	PUNCT
ap-6080	224	13	top	top	ADJ
ap-6080	224	14	)	)	PUNCT
ap-6080	224	15	and	and	CCONJ
ap-6080	224	16	w2	w2	NOUN
ap-6080	224	17	(	(	PUNCT
ap-6080	224	18	in	in	ADP
ap-6080	224	19	mm	mm	PROPN
ap-6080	224	20	,	,	PUNCT
ap-6080	224	21	bottom	bottom	NOUN
ap-6080	224	22	)	)	PUNCT
ap-6080	224	23	for	for	ADP
ap-6080	224	24	flow	flow	NOUN
ap-6080	224	25	velocity	velocity	NOUN
ap-6080	224	26	u∞	u∞	PUNCT
ap-6080	225	1	=	=	SYM
ap-6080	225	2	0.70	0.70	NUM
ap-6080	225	3	m	m	NOUN
ap-6080	225	4	/	/	SYM
ap-6080	225	5	s	s	PART
ap-6080	225	6	phonation	phonation	NOUN
ap-6080	225	7	onset	onset	NOUN
ap-6080	225	8	-1.2	-1.2	NOUN
ap-6080	225	9	-1	-1	PROPN
ap-6080	225	10	-0.8	-0.8	PROPN
ap-6080	225	11	-0.6	-0.6	X
ap-6080	225	12	-0.4	-0.4	X
ap-6080	225	13	-0.2	-0.2	PROPN
ap-6080	225	14	0	0	NUM
ap-6080	225	15	0.2	0.2	NUM
ap-6080	225	16	0.4	0.4	NUM
ap-6080	225	17	0.6	0.6	NUM
ap-6080	225	18	0.2	0.2	NUM
ap-6080	225	19	0.25	0.25	NUM
ap-6080	225	20	0.3	0.3	NUM
ap-6080	225	21	0.35	0.35	NUM
ap-6080	225	22	0.4	0.4	NUM
ap-6080	225	23	0.45	0.45	NUM
ap-6080	225	24	0.5	0.5	NUM
ap-6080	225	25	t[s	t[s	NUM
ap-6080	225	26	]	]	PUNCT
ap-6080	225	27	-0.5	-0.5	PROPN
ap-6080	225	28	-0.4	-0.4	PROPN
ap-6080	225	29	-0.3	-0.3	PROPN
ap-6080	225	30	-0.2	-0.2	PROPN
ap-6080	225	31	-0.1	-0.1	PROPN
ap-6080	225	32	0	0	NUM
ap-6080	225	33	0.1	0.1	NUM
ap-6080	225	34	0.2	0.2	NUM
ap-6080	225	35	0.3	0.3	NUM
ap-6080	225	36	0.2	0.2	NUM
ap-6080	225	37	0.25	0.25	NUM
ap-6080	225	38	0.3	0.3	NUM
ap-6080	225	39	0.35	0.35	NUM
ap-6080	225	40	0.4	0.4	NUM
ap-6080	225	41	0.45	0.45	NUM
ap-6080	225	42	0.5	0.5	NUM
ap-6080	225	43	t[s	t[s	NUM
ap-6080	225	44	]	]	PUNCT
ap-6080	225	45	figure	figure	NOUN
ap-6080	225	46	8	8	NUM
ap-6080	225	47	.	.	PUNCT
ap-6080	226	1	the	the	DET
ap-6080	226	2	aeroelastic	aeroelastic	ADJ
ap-6080	226	3	response	response	NOUN
ap-6080	226	4	in	in	ADP
ap-6080	226	5	terms	term	NOUN
ap-6080	226	6	of	of	ADP
ap-6080	226	7	w1(in	w1(in	PROPN
ap-6080	226	8	mm	mm	PROPN
ap-6080	226	9	,	,	PUNCT
ap-6080	226	10	top	top	ADJ
ap-6080	226	11	)	)	PUNCT
ap-6080	226	12	and	and	CCONJ
ap-6080	226	13	w2	w2	NOUN
ap-6080	226	14	(	(	PUNCT
ap-6080	226	15	in	in	ADP
ap-6080	226	16	mm	mm	PROPN
ap-6080	226	17	,	,	PUNCT
ap-6080	226	18	bottom	bottom	NOUN
ap-6080	226	19	)	)	PUNCT
ap-6080	226	20	of	of	ADP
ap-6080	226	21	the	the	DET
ap-6080	226	22	structure	structure	NOUN
ap-6080	226	23	for	for	ADP
ap-6080	226	24	flow	flow	NOUN
ap-6080	226	25	velocity	velocity	NOUN
ap-6080	226	26	u∞	u∞	PUNCT
ap-6080	227	1	=	=	SYM
ap-6080	227	2	0.70	0.70	NUM
ap-6080	227	3	m	m	NOUN
ap-6080	227	4	/	/	SYM
ap-6080	227	5	s	s	NOUN
ap-6080	227	6	phonation	phonation	NOUN
ap-6080	227	7	onset	onset	VERB
ap-6080	227	8	161	161	NUM
ap-6080	227	9	petr	petr	PROPN
ap-6080	227	10	sváček	sváček	PROPN
ap-6080	227	11	acta	acta	PROPN
ap-6080	227	12	polytechnica	polytechnica	PROPN
ap-6080	227	13	0.1	0.1	NUM
ap-6080	227	14	5.6	5.6	NUM
ap-6080	227	15	11.1	11.1	NUM
ap-6080	227	16	16.6	16.6	NUM
ap-6080	227	17	22.1	22.1	NUM
ap-6080	227	18	27.6	27.6	NUM
ap-6080	227	19	33.1	33.1	NUM
ap-6080	227	20	38.6	38.6	NUM
ap-6080	227	21	0.1	0.1	NUM
ap-6080	227	22	5.6	5.6	NUM
ap-6080	227	23	11.1	11.1	NUM
ap-6080	227	24	16.6	16.6	NUM
ap-6080	227	25	22.1	22.1	NUM
ap-6080	227	26	27.6	27.6	NUM
ap-6080	227	27	33.1	33.1	NUM
ap-6080	227	28	38.6	38.6	NUM
ap-6080	227	29	0.1	0.1	NUM
ap-6080	227	30	5.6	5.6	NUM
ap-6080	227	31	11.1	11.1	NUM
ap-6080	227	32	16.6	16.6	NUM
ap-6080	227	33	22.1	22.1	NUM
ap-6080	227	34	27.6	27.6	NUM
ap-6080	227	35	33.1	33.1	NUM
ap-6080	227	36	38.6	38.6	NUM
ap-6080	227	37	figure	figure	NOUN
ap-6080	227	38	9	9	NUM
ap-6080	227	39	.	.	PUNCT
ap-6080	228	1	the	the	DET
ap-6080	228	2	flow	flow	NOUN
ap-6080	228	3	velocity	velocity	NOUN
ap-6080	228	4	magnitude	magnitude	NOUN
ap-6080	228	5	during	during	ADP
ap-6080	228	6	the	the	DET
ap-6080	228	7	opening	opening	NOUN
ap-6080	228	8	and	and	CCONJ
ap-6080	228	9	closing	closing	NOUN
ap-6080	228	10	phase	phase	NOUN
ap-6080	228	11	for	for	ADP
ap-6080	228	12	the	the	DET
ap-6080	228	13	inlet	inlet	NOUN
ap-6080	228	14	flow	flow	NOUN
ap-6080	228	15	velocity	velocity	NOUN
ap-6080	228	16	u∞	u∞	PUNCT
ap-6080	229	1	=	=	SYM
ap-6080	229	2	0.65	0.65	NUM
ap-6080	229	3	m	m	PROPN
ap-6080	229	4	/	/	SYM
ap-6080	229	5	s	s	VERB
ap-6080	229	6	let	let	VERB
ap-6080	229	7	us	we	PRON
ap-6080	229	8	emphasize	emphasize	VERB
ap-6080	229	9	,	,	PUNCT
ap-6080	229	10	that	that	SCONJ
ap-6080	229	11	as	as	SCONJ
ap-6080	229	12	the	the	DET
ap-6080	229	13	convection	convection	NOUN
ap-6080	229	14	b	b	NOUN
ap-6080	229	15	equals	equal	VERB
ap-6080	229	16	the	the	DET
ap-6080	229	17	exact	exact	ADJ
ap-6080	229	18	solution	solution	NOUN
ap-6080	229	19	u	u	NOUN
ap-6080	229	20	,	,	PUNCT
ap-6080	229	21	the	the	DET
ap-6080	229	22	dirichlet	dirichlet	PROPN
ap-6080	229	23	problem	problem	NOUN
ap-6080	229	24	for	for	ADP
ap-6080	229	25	navierstokes	navierstoke	NOUN
ap-6080	229	26	equations	equation	NOUN
ap-6080	229	27	can	can	AUX
ap-6080	229	28	be	be	AUX
ap-6080	229	29	formulated	formulate	VERB
ap-6080	229	30	with	with	ADP
ap-6080	229	31	the	the	DET
ap-6080	229	32	same	same	ADJ
ap-6080	229	33	analytical	analytical	ADJ
ap-6080	229	34	solution	solution	NOUN
ap-6080	229	35	.	.	PUNCT
ap-6080	230	1	this	this	DET
ap-6080	230	2	problem	problem	NOUN
ap-6080	230	3	was	be	AUX
ap-6080	230	4	solved	solve	VERB
ap-6080	230	5	as	as	ADP
ap-6080	230	6	an	an	DET
ap-6080	230	7	navier	navier	NOUN
ap-6080	230	8	-	-	PUNCT
ap-6080	230	9	stokes	stoke	NOUN
ap-6080	230	10	problem	problem	NOUN
ap-6080	230	11	with	with	ADP
ap-6080	230	12	a	a	DET
ap-6080	230	13	known	know	VERB
ap-6080	230	14	analytical	analytical	ADJ
ap-6080	230	15	solution	solution	NOUN
ap-6080	230	16	.	.	PUNCT
ap-6080	231	1	one	one	PRON
ap-6080	231	2	can	can	AUX
ap-6080	231	3	really	really	ADV
ap-6080	231	4	notice	notice	VERB
ap-6080	231	5	that	that	SCONJ
ap-6080	231	6	b	b	X
ap-6080	231	7	=	=	SYM
ap-6080	231	8	u	u	NOUN
ap-6080	231	9	,	,	PUNCT
ap-6080	231	10	and	and	CCONJ
ap-6080	231	11	thus	thus	ADV
ap-6080	231	12	the	the	DET
ap-6080	231	13	given	give	VERB
ap-6080	231	14	u	u	NOUN
ap-6080	231	15	is	be	AUX
ap-6080	231	16	the	the	DET
ap-6080	231	17	analytical	analytical	ADJ
ap-6080	231	18	solution	solution	NOUN
ap-6080	231	19	of	of	ADP
ap-6080	231	20	the	the	DET
ap-6080	231	21	navier	navier	NOUN
ap-6080	231	22	-	-	PUNCT
ap-6080	231	23	stokes	stoke	NOUN
ap-6080	231	24	problem	problem	NOUN
ap-6080	231	25	with	with	ADP
ap-6080	231	26	the	the	DET
ap-6080	231	27	known	know	VERB
ap-6080	231	28	dirichlet	dirichlet	PROPN
ap-6080	231	29	boundary	boundary	ADJ
ap-6080	231	30	condition	condition	NOUN
ap-6080	231	31	.	.	PUNCT
ap-6080	232	1	similarly	similarly	ADV
ap-6080	232	2	as	as	ADP
ap-6080	232	3	above	above	ADV
ap-6080	232	4	,	,	PUNCT
ap-6080	232	5	the	the	DET
ap-6080	232	6	numerical	numerical	ADJ
ap-6080	232	7	approximation	approximation	NOUN
ap-6080	232	8	was	be	AUX
ap-6080	232	9	compared	compare	VERB
ap-6080	232	10	for	for	ADP
ap-6080	232	11	both	both	CCONJ
ap-6080	232	12	the	the	DET
ap-6080	232	13	stabilized	stabilized	ADJ
ap-6080	232	14	and	and	CCONJ
ap-6080	232	15	non	non	ADJ
ap-6080	232	16	-	-	ADJ
ap-6080	232	17	stabilized	stabilized	ADJ
ap-6080	232	18	method	method	NOUN
ap-6080	232	19	,	,	PUNCT
ap-6080	232	20	with	with	ADP
ap-6080	232	21	the	the	DET
ap-6080	232	22	results	result	NOUN
ap-6080	232	23	confirming	confirm	VERB
ap-6080	232	24	the	the	DET
ap-6080	232	25	expected	expect	VERB
ap-6080	232	26	theoretical	theoretical	ADJ
ap-6080	232	27	order	order	NOUN
ap-6080	232	28	of	of	ADP
ap-6080	232	29	convergence	convergence	NOUN
ap-6080	232	30	in	in	ADP
ap-6080	232	31	h1	h1	NOUN
ap-6080	232	32	-	-	PUNCT
ap-6080	232	33	norm	norm	NOUN
ap-6080	232	34	,	,	PUNCT
ap-6080	232	35	see	see	VERB
ap-6080	232	36	table	table	NOUN
ap-6080	232	37	3	3	NUM
ap-6080	232	38	for	for	ADP
ap-6080	232	39	the	the	DET
ap-6080	232	40	stabilized	stabilize	VERB
ap-6080	232	41	method	method	NOUN
ap-6080	232	42	.	.	PUNCT
ap-6080	233	1	further	far	ADV
ap-6080	233	2	,	,	PUNCT
ap-6080	233	3	the	the	DET
ap-6080	233	4	method	method	NOUN
ap-6080	233	5	for	for	ADP
ap-6080	233	6	the	the	DET
ap-6080	233	7	solution	solution	NOUN
ap-6080	233	8	of	of	ADP
ap-6080	233	9	fsi	fsi	PROPN
ap-6080	233	10	problem	problem	NOUN
ap-6080	233	11	with	with	ADP
ap-6080	233	12	contact	contact	NOUN
ap-6080	233	13	was	be	AUX
ap-6080	233	14	realized	realize	VERB
ap-6080	233	15	and	and	CCONJ
ap-6080	233	16	tested	test	VERB
ap-6080	233	17	on	on	ADP
ap-6080	233	18	a	a	DET
ap-6080	233	19	benchmark	benchmark	ADJ
ap-6080	233	20	problem	problem	NOUN
ap-6080	233	21	from	from	ADP
ap-6080	233	22	[	[	X
ap-6080	233	23	14	14	NUM
ap-6080	233	24	]	]	PUNCT
ap-6080	233	25	.	.	PUNCT
ap-6080	234	1	the	the	DET
ap-6080	234	2	results	result	NOUN
ap-6080	234	3	for	for	ADP
ap-6080	234	4	the	the	DET
ap-6080	234	5	inflow	inflow	NOUN
ap-6080	234	6	velocity	velocity	NOUN
ap-6080	234	7	u∞	u∞	PUNCT
ap-6080	234	8	=	=	SYM
ap-6080	234	9	0.65	0.65	NUM
ap-6080	234	10	m/s	m/s	PROPN
ap-6080	234	11	are	be	AUX
ap-6080	234	12	shown	show	VERB
ap-6080	234	13	in	in	ADP
ap-6080	234	14	terms	term	NOUN
ap-6080	234	15	of	of	ADP
ap-6080	234	16	displacements	displacement	NOUN
ap-6080	234	17	w1	w1	NOUN
ap-6080	234	18	and	and	CCONJ
ap-6080	234	19	w2	w2	NOUN
ap-6080	234	20	in	in	ADP
ap-6080	234	21	dependence	dependence	NOUN
ap-6080	234	22	on	on	ADP
ap-6080	234	23	time	time	NOUN
ap-6080	234	24	in	in	ADP
ap-6080	234	25	figures	figure	NOUN
ap-6080	234	26	5	5	NUM
ap-6080	234	27	-	-	SYM
ap-6080	234	28	6	6	NUM
ap-6080	234	29	.	.	PUNCT
ap-6080	235	1	one	one	PRON
ap-6080	235	2	can	can	AUX
ap-6080	235	3	easily	easily	ADV
ap-6080	235	4	see	see	VERB
ap-6080	235	5	that	that	SCONJ
ap-6080	235	6	the	the	DET
ap-6080	235	7	system	system	NOUN
ap-6080	235	8	becomes	become	VERB
ap-6080	235	9	aeroelastically	aeroelastically	ADV
ap-6080	235	10	unstable	unstable	ADJ
ap-6080	235	11	and	and	CCONJ
ap-6080	235	12	the	the	DET
ap-6080	235	13	so	so	ADV
ap-6080	235	14	called	call	VERB
ap-6080	235	15	phonation	phonation	NOUN
ap-6080	235	16	onset	onset	NOUN
ap-6080	235	17	phenomena	phenomenon	NOUN
ap-6080	235	18	arises	arise	VERB
ap-6080	235	19	.	.	PUNCT
ap-6080	236	1	with	with	ADP
ap-6080	236	2	further	further	ADJ
ap-6080	236	3	continuation	continuation	NOUN
ap-6080	236	4	,	,	PUNCT
ap-6080	236	5	the	the	DET
ap-6080	236	6	vibrating	vibrate	VERB
ap-6080	236	7	vocal	vocal	ADJ
ap-6080	236	8	folds	fold	NOUN
ap-6080	236	9	start	start	VERB
ap-6080	236	10	to	to	PART
ap-6080	236	11	be	be	AUX
ap-6080	236	12	influenced	influence	VERB
ap-6080	236	13	by	by	ADP
ap-6080	236	14	their	their	PRON
ap-6080	236	15	mutual	mutual	ADJ
ap-6080	236	16	contact	contact	NOUN
ap-6080	236	17	,	,	PUNCT
ap-6080	236	18	see	see	VERB
ap-6080	236	19	the	the	DET
ap-6080	236	20	vibrations	vibration	NOUN
ap-6080	236	21	resembling	resemble	VERB
ap-6080	236	22	a	a	DET
ap-6080	236	23	limit	limit	NOUN
ap-6080	236	24	cycle	cycle	NOUN
ap-6080	236	25	oscillations	oscillation	NOUN
ap-6080	236	26	in	in	ADP
ap-6080	236	27	figure	figure	NOUN
ap-6080	236	28	6	6	NUM
ap-6080	236	29	.	.	PUNCT
ap-6080	236	30	similar	similar	ADJ
ap-6080	236	31	behaviour	behaviour	NOUN
ap-6080	236	32	is	be	AUX
ap-6080	236	33	observed	observe	VERB
ap-6080	236	34	also	also	ADV
ap-6080	236	35	for	for	ADP
ap-6080	236	36	the	the	DET
ap-6080	236	37	inflow	inflow	NOUN
ap-6080	236	38	velocity	velocity	NOUN
ap-6080	236	39	u∞	u∞	PUNCT
ap-6080	237	1	=	=	PUNCT
ap-6080	237	2	0.7	0.7	NUM
ap-6080	237	3	m/s	m/s	PROPN
ap-6080	237	4	with	with	ADP
ap-6080	237	5	a	a	DET
ap-6080	237	6	much	much	ADV
ap-6080	237	7	faster	fast	ADJ
ap-6080	237	8	appearance	appearance	NOUN
ap-6080	237	9	of	of	ADP
ap-6080	237	10	the	the	DET
ap-6080	237	11	contact	contact	NOUN
ap-6080	237	12	.	.	PUNCT
ap-6080	238	1	figure	figure	NOUN
ap-6080	238	2	9	9	NUM
ap-6080	238	3	then	then	ADV
ap-6080	238	4	shows	show	VERB
ap-6080	238	5	the	the	DET
ap-6080	238	6	details	detail	NOUN
ap-6080	238	7	of	of	ADP
ap-6080	238	8	the	the	DET
ap-6080	238	9	flow	flow	NOUN
ap-6080	238	10	in	in	ADP
ap-6080	238	11	terms	term	NOUN
ap-6080	238	12	of	of	ADP
ap-6080	238	13	flow	flow	NOUN
ap-6080	238	14	velocity	velocity	NOUN
ap-6080	238	15	in	in	ADP
ap-6080	238	16	the	the	DET
ap-6080	238	17	glottis	glottis	NOUN
ap-6080	238	18	region	region	NOUN
ap-6080	238	19	.	.	PUNCT
ap-6080	239	1	6	6	X
ap-6080	239	2	.	.	X
ap-6080	239	3	conclusion	conclusion	NOUN
ap-6080	239	4	in	in	ADP
ap-6080	239	5	this	this	DET
ap-6080	239	6	paper	paper	NOUN
ap-6080	239	7	the	the	DET
ap-6080	239	8	mathematical	mathematical	ADJ
ap-6080	239	9	description	description	NOUN
ap-6080	239	10	of	of	ADP
ap-6080	239	11	a	a	DET
ap-6080	239	12	simplified	simplified	ADJ
ap-6080	239	13	fluid	fluid	ADJ
ap-6080	239	14	-	-	PUNCT
ap-6080	239	15	structure	structure	NOUN
ap-6080	239	16	interaction	interaction	NOUN
ap-6080	239	17	problem	problem	NOUN
ap-6080	239	18	arising	arise	VERB
ap-6080	239	19	in	in	ADP
ap-6080	239	20	the	the	DET
ap-6080	239	21	biomechanics	biomechanic	NOUN
ap-6080	239	22	of	of	ADP
ap-6080	239	23	voice	voice	NOUN
ap-6080	239	24	production	production	NOUN
ap-6080	239	25	was	be	AUX
ap-6080	239	26	presented	present	VERB
ap-6080	239	27	.	.	PUNCT
ap-6080	240	1	special	special	ADJ
ap-6080	240	2	attention	attention	NOUN
ap-6080	240	3	was	be	AUX
ap-6080	240	4	paid	pay	VERB
ap-6080	240	5	to	to	ADP
ap-6080	240	6	considering	consider	VERB
ap-6080	240	7	the	the	DET
ap-6080	240	8	contact	contact	NOUN
ap-6080	240	9	of	of	ADP
ap-6080	240	10	the	the	DET
ap-6080	240	11	vibrating	vibrate	VERB
ap-6080	240	12	vocal	vocal	ADJ
ap-6080	240	13	folds	fold	NOUN
ap-6080	240	14	,	,	PUNCT
ap-6080	240	15	which	which	PRON
ap-6080	240	16	was	be	AUX
ap-6080	240	17	treated	treat	VERB
ap-6080	240	18	with	with	ADP
ap-6080	240	19	the	the	DET
ap-6080	240	20	aid	aid	NOUN
ap-6080	240	21	of	of	ADP
ap-6080	240	22	the	the	DET
ap-6080	240	23	hertz	hertz	NOUN
ap-6080	240	24	impact	impact	NOUN
ap-6080	240	25	forces	force	NOUN
ap-6080	240	26	,	,	PUNCT
ap-6080	240	27	a	a	DET
ap-6080	240	28	suitable	suitable	ADJ
ap-6080	240	29	choice	choice	NOUN
ap-6080	240	30	of	of	ADP
ap-6080	240	31	inlet	inlet	ADJ
ap-6080	240	32	boundary	boundary	ADJ
ap-6080	240	33	conditions	condition	NOUN
ap-6080	240	34	and	and	CCONJ
ap-6080	240	35	the	the	DET
ap-6080	240	36	use	use	NOUN
ap-6080	240	37	of	of	ADP
ap-6080	240	38	a	a	DET
ap-6080	240	39	fictitious	fictitious	ADJ
ap-6080	240	40	porous	porous	ADJ
ap-6080	240	41	media	medium	NOUN
ap-6080	240	42	flow	flow	NOUN
ap-6080	240	43	description	description	NOUN
ap-6080	240	44	.	.	PUNCT
ap-6080	241	1	attention	attention	NOUN
ap-6080	241	2	was	be	AUX
ap-6080	241	3	also	also	ADV
ap-6080	241	4	given	give	VERB
ap-6080	241	5	to	to	ADP
ap-6080	241	6	the	the	DET
ap-6080	241	7	numerical	numerical	ADJ
ap-6080	241	8	discretization	discretization	NOUN
ap-6080	241	9	of	of	ADP
ap-6080	241	10	the	the	DET
ap-6080	241	11	problem	problem	NOUN
ap-6080	241	12	,	,	PUNCT
ap-6080	241	13	to	to	ADP
ap-6080	241	14	the	the	DET
ap-6080	241	15	solution	solution	NOUN
ap-6080	241	16	of	of	ADP
ap-6080	241	17	the	the	DET
ap-6080	241	18	linearized	linearize	VERB
ap-6080	241	19	problem	problem	NOUN
ap-6080	241	20	and	and	CCONJ
ap-6080	241	21	to	to	ADP
ap-6080	241	22	the	the	DET
ap-6080	241	23	realization	realization	NOUN
ap-6080	241	24	of	of	ADP
ap-6080	241	25	the	the	DET
ap-6080	241	26	gap	gap	NOUN
ap-6080	241	27	closing	closing	NOUN
ap-6080	241	28	.	.	PUNCT
ap-6080	242	1	the	the	DET
ap-6080	242	2	numerical	numerical	ADJ
ap-6080	242	3	tests	test	NOUN
ap-6080	242	4	were	be	AUX
ap-6080	242	5	shown	show	VERB
ap-6080	242	6	to	to	PART
ap-6080	242	7	verify	verify	VERB
ap-6080	242	8	the	the	DET
ap-6080	242	9	theoretical	theoretical	ADJ
ap-6080	242	10	error	error	NOUN
ap-6080	242	11	estimates	estimate	NOUN
ap-6080	242	12	of	of	ADP
ap-6080	242	13	the	the	DET
ap-6080	242	14	applied	apply	VERB
ap-6080	242	15	method	method	NOUN
ap-6080	242	16	and	and	CCONJ
ap-6080	242	17	the	the	DET
ap-6080	242	18	numerical	numerical	ADJ
ap-6080	242	19	results	result	NOUN
ap-6080	242	20	of	of	ADP
ap-6080	242	21	a	a	DET
ap-6080	242	22	benchmark	benchmark	NOUN
ap-6080	242	23	test	test	NOUN
ap-6080	242	24	problem	problem	NOUN
ap-6080	242	25	were	be	AUX
ap-6080	242	26	presented	present	VERB
ap-6080	242	27	.	.	PUNCT
ap-6080	243	1	acknowledgements	acknowledgement	NOUN
ap-6080	243	2	this	this	DET
ap-6080	243	3	work	work	NOUN
ap-6080	243	4	was	be	AUX
ap-6080	243	5	supported	support	VERB
ap-6080	243	6	by	by	ADP
ap-6080	243	7	the	the	DET
ap-6080	243	8	czech	czech	PROPN
ap-6080	243	9	science	science	NOUN
ap-6080	243	10	foundation	foundation	NOUN
ap-6080	243	11	under	under	ADP
ap-6080	243	12	the	the	DET
ap-6080	243	13	grant	grant	NOUN
ap-6080	243	14	no	no	NOUN
ap-6080	243	15	.	.	PROPN
ap-6080	243	16	19	19	NUM
ap-6080	243	17	07744s	07744	NOUN
ap-6080	243	18	.	.	PUNCT
ap-6080	244	1	references	reference	NOUN
ap-6080	244	2	[	[	X
ap-6080	244	3	1	1	NUM
ap-6080	244	4	]	]	PUNCT
ap-6080	244	5	i.	i.	PROPN
ap-6080	244	6	r.	r.	PROPN
ap-6080	244	7	titze	titze	PROPN
ap-6080	244	8	.	.	PUNCT
ap-6080	245	1	the	the	DET
ap-6080	245	2	myoelastic	myoelastic	ADJ
ap-6080	245	3	aerodynamic	aerodynamic	ADJ
ap-6080	245	4	theory	theory	NOUN
ap-6080	245	5	of	of	ADP
ap-6080	245	6	phonation	phonation	NOUN
ap-6080	245	7	.	.	PUNCT
ap-6080	246	1	national	national	ADJ
ap-6080	246	2	center	center	NOUN
ap-6080	246	3	for	for	ADP
ap-6080	246	4	voice	voice	NOUN
ap-6080	246	5	and	and	CCONJ
ap-6080	246	6	speech	speech	NOUN
ap-6080	246	7	,	,	PUNCT
ap-6080	246	8	u.s.a	u.s.a	PROPN
ap-6080	246	9	.	.	PROPN
ap-6080	246	10	,	,	PUNCT
ap-6080	246	11	2006	2006	NUM
ap-6080	246	12	.	.	PUNCT
ap-6080	247	1	[	[	X
ap-6080	247	2	2	2	X
ap-6080	247	3	]	]	PUNCT
ap-6080	247	4	k.	k.	PROPN
ap-6080	247	5	ishizaka	ishizaka	PROPN
ap-6080	247	6	,	,	PUNCT
ap-6080	247	7	j.	j.	PROPN
ap-6080	247	8	l.	l.	PROPN
ap-6080	247	9	flanagan	flanagan	PROPN
ap-6080	247	10	.	.	PUNCT
ap-6080	248	1	synthesis	synthesis	NOUN
ap-6080	248	2	of	of	ADP
ap-6080	248	3	voiced	voice	VERB
ap-6080	248	4	sounds	sound	NOUN
ap-6080	248	5	from	from	ADP
ap-6080	248	6	a	a	DET
ap-6080	248	7	two	two	NUM
ap-6080	248	8	-	-	PUNCT
ap-6080	248	9	mass	mass	NOUN
ap-6080	248	10	model	model	NOUN
ap-6080	248	11	of	of	ADP
ap-6080	248	12	the	the	DET
ap-6080	248	13	vocal	vocal	ADJ
ap-6080	248	14	coords	coord	NOUN
ap-6080	248	15	.	.	PUNCT
ap-6080	249	1	the	the	DET
ap-6080	249	2	bell	bell	PROPN
ap-6080	249	3	system	system	PROPN
ap-6080	249	4	technical	technical	PROPN
ap-6080	249	5	journal	journal	PROPN
ap-6080	249	6	51:1233–1268	51:1233–1268	PROPN
ap-6080	249	7	,	,	PUNCT
ap-6080	249	8	1972	1972	NUM
ap-6080	249	9	.	.	PUNCT
ap-6080	250	1	[	[	X
ap-6080	250	2	3	3	X
ap-6080	250	3	]	]	X
ap-6080	250	4	j.	j.	PROPN
ap-6080	250	5	horáček	horáček	PROPN
ap-6080	250	6	,	,	PUNCT
ap-6080	250	7	p.	p.	NOUN
ap-6080	250	8	šidlof	šidlof	PROPN
ap-6080	250	9	,	,	PUNCT
ap-6080	250	10	j.	j.	PROPN
ap-6080	250	11	g.	g.	PROPN
ap-6080	250	12	švec	švec	PROPN
ap-6080	250	13	.	.	PUNCT
ap-6080	251	1	numerical	numerical	PROPN
ap-6080	251	2	simulation	simulation	PROPN
ap-6080	251	3	of	of	ADP
ap-6080	251	4	self	self	NOUN
ap-6080	251	5	-	-	PUNCT
ap-6080	251	6	oscillations	oscillation	NOUN
ap-6080	251	7	of	of	ADP
ap-6080	251	8	human	human	ADJ
ap-6080	251	9	vocal	vocal	ADJ
ap-6080	251	10	folds	fold	NOUN
ap-6080	251	11	with	with	ADP
ap-6080	251	12	hertz	hertz	NOUN
ap-6080	251	13	model	model	NOUN
ap-6080	251	14	of	of	ADP
ap-6080	251	15	impact	impact	NOUN
ap-6080	251	16	forces	force	NOUN
ap-6080	251	17	.	.	PUNCT
ap-6080	252	1	journal	journal	NOUN
ap-6080	252	2	of	of	ADP
ap-6080	252	3	fluids	fluid	NOUN
ap-6080	252	4	and	and	CCONJ
ap-6080	252	5	structures	structure	VERB
ap-6080	252	6	20(6):853–869	20(6):853–869	PROPN
ap-6080	252	7	,	,	PUNCT
ap-6080	252	8	2005	2005	NUM
ap-6080	252	9	.	.	PUNCT
ap-6080	253	1	[	[	X
ap-6080	253	2	4	4	NUM
ap-6080	253	3	]	]	PUNCT
ap-6080	253	4	m.	m.	NOUN
ap-6080	253	5	feistauer	feistauer	NOUN
ap-6080	253	6	.	.	PUNCT
ap-6080	254	1	mathematical	mathematical	ADJ
ap-6080	254	2	methods	method	NOUN
ap-6080	254	3	in	in	ADP
ap-6080	254	4	fluid	fluid	ADJ
ap-6080	254	5	dynamics	dynamic	NOUN
ap-6080	254	6	.	.	PUNCT
ap-6080	255	1	longman	longman	PROPN
ap-6080	255	2	scientific	scientific	PROPN
ap-6080	255	3	&	&	CCONJ
ap-6080	255	4	technical	technical	ADJ
ap-6080	255	5	,	,	PUNCT
ap-6080	255	6	harlow	harlow	NOUN
ap-6080	255	7	,	,	PUNCT
ap-6080	255	8	1993	1993	NUM
ap-6080	255	9	.	.	PUNCT
ap-6080	256	1	[	[	X
ap-6080	256	2	5	5	X
ap-6080	256	3	]	]	PUNCT
ap-6080	256	4	t.	t.	PROPN
ap-6080	256	5	nomura	nomura	NOUN
ap-6080	256	6	,	,	PUNCT
ap-6080	256	7	t.	t.	PROPN
ap-6080	256	8	j.	j.	PROPN
ap-6080	256	9	r.	r.	PROPN
ap-6080	256	10	hughes	hughes	PROPN
ap-6080	256	11	.	.	PUNCT
ap-6080	257	1	an	an	DET
ap-6080	257	2	arbitrary	arbitrary	ADJ
ap-6080	257	3	lagrangianeulerian	lagrangianeulerian	ADJ
ap-6080	257	4	finite	finite	ADJ
ap-6080	257	5	element	element	NOUN
ap-6080	257	6	method	method	NOUN
ap-6080	257	7	for	for	ADP
ap-6080	257	8	interaction	interaction	NOUN
ap-6080	257	9	of	of	ADP
ap-6080	257	10	fluid	fluid	NOUN
ap-6080	257	11	and	and	CCONJ
ap-6080	257	12	a	a	DET
ap-6080	257	13	rigid	rigid	ADJ
ap-6080	257	14	body	body	NOUN
ap-6080	257	15	.	.	PUNCT
ap-6080	258	1	computer	computer	NOUN
ap-6080	258	2	methods	method	NOUN
ap-6080	258	3	in	in	ADP
ap-6080	258	4	applied	applied	ADJ
ap-6080	258	5	mechanics	mechanic	NOUN
ap-6080	258	6	and	and	CCONJ
ap-6080	258	7	engineering	engineering	NOUN
ap-6080	258	8	95:115–138	95:115–138	NUM
ap-6080	258	9	,	,	PUNCT
ap-6080	258	10	1992	1992	NUM
ap-6080	258	11	.	.	PUNCT
ap-6080	259	1	[	[	X
ap-6080	259	2	6	6	NUM
ap-6080	259	3	]	]	PUNCT
ap-6080	259	4	e.	e.	PROPN
ap-6080	259	5	burman	burman	PROPN
ap-6080	259	6	,	,	PUNCT
ap-6080	259	7	m.	m.	NOUN
ap-6080	259	8	a.	a.	NOUN
ap-6080	259	9	fernández	fernández	PROPN
ap-6080	259	10	,	,	PUNCT
ap-6080	259	11	s.	s.	PROPN
ap-6080	259	12	frei	frei	PROPN
ap-6080	259	13	.	.	PUNCT
ap-6080	260	1	a	a	DET
ap-6080	260	2	nitsche	nitsche	NOUN
ap-6080	260	3	-	-	PUNCT
ap-6080	260	4	based	base	VERB
ap-6080	260	5	formulation	formulation	NOUN
ap-6080	260	6	for	for	ADP
ap-6080	260	7	fluid	fluid	ADJ
ap-6080	260	8	-	-	PUNCT
ap-6080	260	9	structure	structure	NOUN
ap-6080	260	10	interactions	interaction	NOUN
ap-6080	260	11	with	with	ADP
ap-6080	260	12	contact	contact	NOUN
ap-6080	260	13	2018	2018	NUM
ap-6080	260	14	.	.	PUNCT
ap-6080	261	1	arxiv:1808.08758	arxiv:1808.08758	ADV
ap-6080	261	2	.	.	PUNCT
ap-6080	262	1	[	[	X
ap-6080	262	2	7	7	X
ap-6080	262	3	]	]	PUNCT
ap-6080	262	4	m.	m.	NOUN
ap-6080	262	5	feistauer	feistauer	PROPN
ap-6080	262	6	,	,	PUNCT
ap-6080	262	7	j.	j.	PROPN
ap-6080	262	8	horáček	horáček	PROPN
ap-6080	262	9	,	,	PUNCT
ap-6080	262	10	p.	p.	PROPN
ap-6080	262	11	sváček	sváček	PROPN
ap-6080	262	12	.	.	PUNCT
ap-6080	263	1	numerical	numerical	PROPN
ap-6080	263	2	simulation	simulation	PROPN
ap-6080	263	3	of	of	ADP
ap-6080	263	4	vibrations	vibration	NOUN
ap-6080	263	5	of	of	ADP
ap-6080	263	6	an	an	DET
ap-6080	263	7	airfoil	airfoil	NOUN
ap-6080	263	8	induced	induce	VERB
ap-6080	263	9	by	by	ADP
ap-6080	263	10	turbulent	turbulent	ADJ
ap-6080	263	11	flow	flow	NOUN
ap-6080	263	12	.	.	PUNCT
ap-6080	264	1	communications	communication	NOUN
ap-6080	264	2	in	in	ADP
ap-6080	264	3	computational	computational	ADJ
ap-6080	264	4	physics	physic	NOUN
ap-6080	264	5	17(1):146–188	17(1):146–188	NUM
ap-6080	264	6	,	,	PUNCT
ap-6080	264	7	2015	2015	NUM
ap-6080	264	8	.	.	PUNCT
ap-6080	265	1	[	[	X
ap-6080	265	2	8	8	NUM
ap-6080	265	3	]	]	PUNCT
ap-6080	265	4	m.	m.	NOUN
ap-6080	265	5	feistauer	feistauer	NOUN
ap-6080	265	6	,	,	PUNCT
ap-6080	265	7	m.	m.	NOUN
ap-6080	265	8	křížek	křížek	PROPN
ap-6080	265	9	,	,	PUNCT
ap-6080	265	10	v.	v.	ADP
ap-6080	265	11	sobotíková	sobotíková	PROPN
ap-6080	265	12	.	.	PUNCT
ap-6080	266	1	an	an	DET
ap-6080	266	2	analysis	analysis	NOUN
ap-6080	266	3	of	of	ADP
ap-6080	266	4	finite	finite	ADJ
ap-6080	266	5	element	element	NOUN
ap-6080	266	6	variational	variational	ADJ
ap-6080	266	7	crimes	crime	NOUN
ap-6080	266	8	for	for	ADP
ap-6080	266	9	a	a	DET
ap-6080	266	10	nonlinear	nonlinear	ADJ
ap-6080	266	11	elliptic	elliptic	ADJ
ap-6080	266	12	problem	problem	NOUN
ap-6080	266	13	of	of	ADP
ap-6080	266	14	a	a	DET
ap-6080	266	15	nonmonotone	nonmonotone	NOUN
ap-6080	266	16	type	type	NOUN
ap-6080	266	17	.	.	PUNCT
ap-6080	267	1	east	east	PROPN
ap-6080	267	2	-	-	PUNCT
ap-6080	267	3	west	west	PROPN
ap-6080	267	4	j	j	PROPN
ap-6080	267	5	numer	numer	PROPN
ap-6080	267	6	math	math	PROPN
ap-6080	267	7	1:267–285	1:267–285	PROPN
ap-6080	267	8	,	,	PUNCT
ap-6080	267	9	1993	1993	NUM
ap-6080	267	10	.	.	PUNCT
ap-6080	268	1	[	[	X
ap-6080	268	2	9	9	NUM
ap-6080	268	3	]	]	PUNCT
ap-6080	268	4	h.	h.	PROPN
ap-6080	268	5	elman	elman	PROPN
ap-6080	268	6	,	,	PUNCT
ap-6080	268	7	d.	d.	PROPN
ap-6080	268	8	silvester	silvester	PROPN
ap-6080	268	9	.	.	PUNCT
ap-6080	269	1	fast	fast	ADJ
ap-6080	269	2	nonsymmetric	nonsymmetric	ADJ
ap-6080	269	3	iterations	iteration	NOUN
ap-6080	269	4	and	and	CCONJ
ap-6080	269	5	preconditioning	precondition	VERB
ap-6080	269	6	for	for	ADP
ap-6080	269	7	navier	navier	NOUN
ap-6080	269	8	-	-	PUNCT
ap-6080	269	9	stokes	stoke	NOUN
ap-6080	269	10	equations	equation	NOUN
ap-6080	269	11	.	.	PUNCT
ap-6080	270	1	tech	tech	NOUN
ap-6080	270	2	.	.	PUNCT
ap-6080	271	1	rep	rep	PROPN
ap-6080	271	2	.	.	PROPN
ap-6080	272	1	no	no	INTJ
ap-6080	272	2	.	.	NOUN
ap-6080	272	3	263	263	NUM
ap-6080	272	4	,	,	PUNCT
ap-6080	272	5	manchester	manchester	PROPN
ap-6080	272	6	,	,	PUNCT
ap-6080	272	7	england	england	PROPN
ap-6080	272	8	,	,	PUNCT
ap-6080	272	9	1995	1995	NUM
ap-6080	272	10	.	.	PUNCT
ap-6080	273	1	[	[	X
ap-6080	273	2	10	10	NUM
ap-6080	273	3	]	]	PUNCT
ap-6080	273	4	a.	a.	NOUN
ap-6080	273	5	chorin	chorin	PROPN
ap-6080	273	6	.	.	PUNCT
ap-6080	274	1	numerical	numerical	ADJ
ap-6080	274	2	solution	solution	NOUN
ap-6080	274	3	of	of	ADP
ap-6080	274	4	the	the	DET
ap-6080	274	5	navier	navier	NOUN
ap-6080	274	6	-	-	PUNCT
ap-6080	274	7	stokes	stoke	NOUN
ap-6080	274	8	equations	equation	NOUN
ap-6080	274	9	.	.	PUNCT
ap-6080	275	1	math	math	NOUN
ap-6080	275	2	comput	comput	PROPN
ap-6080	275	3	22:745–762	22:745–762	PROPN
ap-6080	275	4	,	,	PUNCT
ap-6080	275	5	1968	1968	NUM
ap-6080	275	6	.	.	PUNCT
ap-6080	276	1	[	[	X
ap-6080	276	2	11	11	NUM
ap-6080	276	3	]	]	PUNCT
ap-6080	276	4	a.	a.	PROPN
ap-6080	276	5	j.	j.	PROPN
ap-6080	276	6	chorin	chorin	PROPN
ap-6080	276	7	.	.	PUNCT
ap-6080	277	1	a	a	DET
ap-6080	277	2	numerical	numerical	ADJ
ap-6080	277	3	method	method	NOUN
ap-6080	277	4	for	for	ADP
ap-6080	277	5	solving	solve	VERB
ap-6080	277	6	incompressible	incompressible	ADJ
ap-6080	277	7	viscous	viscous	ADJ
ap-6080	277	8	flow	flow	NOUN
ap-6080	277	9	problems	problem	NOUN
ap-6080	277	10	.	.	PUNCT
ap-6080	278	1	journal	journal	NOUN
ap-6080	278	2	of	of	ADP
ap-6080	278	3	computational	computational	ADJ
ap-6080	278	4	physics	physic	NOUN
ap-6080	278	5	2(1):12–26	2(1):12–26	NUM
ap-6080	278	6	,	,	PUNCT
ap-6080	278	7	1967	1967	NUM
ap-6080	278	8	.	.	PUNCT
ap-6080	279	1	[	[	X
ap-6080	279	2	12	12	NUM
ap-6080	279	3	]	]	PUNCT
ap-6080	279	4	a.	a.	NOUN
ap-6080	279	5	quarteroni	quarteroni	NOUN
ap-6080	279	6	,	,	PUNCT
ap-6080	279	7	a.	a.	PROPN
ap-6080	279	8	valli	valli	PROPN
ap-6080	279	9	.	.	PUNCT
ap-6080	280	1	numerical	numerical	PROPN
ap-6080	280	2	approximation	approximation	NOUN
ap-6080	280	3	of	of	ADP
ap-6080	280	4	partial	partial	ADJ
ap-6080	280	5	differential	differential	ADJ
ap-6080	280	6	equations	equation	NOUN
ap-6080	280	7	.	.	PUNCT
ap-6080	281	1	springer	springer	NOUN
ap-6080	281	2	,	,	PUNCT
ap-6080	281	3	berlin	berlin	PROPN
ap-6080	281	4	,	,	PUNCT
ap-6080	281	5	1994	1994	NUM
ap-6080	281	6	.	.	PUNCT
ap-6080	282	1	[	[	X
ap-6080	282	2	13	13	NUM
ap-6080	282	3	]	]	PUNCT
ap-6080	282	4	a.	a.	NOUN
ap-6080	282	5	wathen	wathen	PROPN
ap-6080	282	6	,	,	PUNCT
ap-6080	282	7	d.	d.	PROPN
ap-6080	282	8	silvester	silvester	PROPN
ap-6080	282	9	.	.	PUNCT
ap-6080	283	1	fast	fast	ADJ
ap-6080	283	2	iterative	iterative	NOUN
ap-6080	283	3	solution	solution	NOUN
ap-6080	283	4	of	of	ADP
ap-6080	283	5	stabilised	stabilise	VERB
ap-6080	283	6	stokes	stoke	NOUN
ap-6080	283	7	systems	system	NOUN
ap-6080	283	8	,	,	PUNCT
ap-6080	283	9	part	part	PROPN
ap-6080	283	10	ii	ii	PROPN
ap-6080	283	11	:	:	PUNCT
ap-6080	283	12	using	use	VERB
ap-6080	283	13	general	general	ADJ
ap-6080	283	14	block	block	NOUN
ap-6080	283	15	preconditioners	preconditioner	NOUN
ap-6080	283	16	.	.	PUNCT
ap-6080	284	1	siam	siam	PROPN
ap-6080	284	2	journal	journal	PROPN
ap-6080	284	3	on	on	ADP
ap-6080	284	4	numerical	numerical	ADJ
ap-6080	284	5	analysis	analysis	NOUN
ap-6080	284	6	31:1352–1367	31:1352–1367	NUM
ap-6080	284	7	,	,	PUNCT
ap-6080	284	8	1994	1994	NUM
ap-6080	284	9	.	.	PUNCT
ap-6080	285	1	[	[	X
ap-6080	285	2	14	14	NUM
ap-6080	285	3	]	]	X
ap-6080	285	4	p.	p.	NOUN
ap-6080	285	5	sváček	sváček	PROPN
ap-6080	285	6	,	,	PUNCT
ap-6080	285	7	j.	j.	PROPN
ap-6080	285	8	horáček	horáček	PROPN
ap-6080	285	9	.	.	PUNCT
ap-6080	286	1	numerical	numerical	PROPN
ap-6080	286	2	simulation	simulation	PROPN
ap-6080	286	3	of	of	ADP
ap-6080	286	4	glottal	glottal	ADJ
ap-6080	286	5	flow	flow	NOUN
ap-6080	286	6	in	in	ADP
ap-6080	286	7	interaction	interaction	NOUN
ap-6080	286	8	with	with	ADP
ap-6080	286	9	self	self	NOUN
ap-6080	286	10	oscillating	oscillate	VERB
ap-6080	286	11	vocal	vocal	ADJ
ap-6080	286	12	folds	fold	NOUN
ap-6080	286	13	:	:	PUNCT
ap-6080	286	14	comparison	comparison	NOUN
ap-6080	286	15	of	of	ADP
ap-6080	286	16	finite	finite	PROPN
ap-6080	286	17	element	element	NOUN
ap-6080	286	18	approximation	approximation	NOUN
ap-6080	286	19	with	with	ADP
ap-6080	286	20	a	a	DET
ap-6080	286	21	simplified	simplified	ADJ
ap-6080	286	22	model	model	NOUN
ap-6080	286	23	.	.	PUNCT
ap-6080	287	1	communications	communication	NOUN
ap-6080	287	2	in	in	ADP
ap-6080	287	3	computational	computational	ADJ
ap-6080	287	4	physics	physics	NOUN
ap-6080	287	5	12(3):789–806	12(3):789–806	PROPN
ap-6080	287	6	,	,	PUNCT
ap-6080	287	7	2012	2012	NUM
ap-6080	287	8	.	.	PUNCT
ap-6080	288	1	doi:10.4208	doi:10.4208	PROPN
ap-6080	288	2	/	/	SYM
ap-6080	288	3	cicp.011010.280611s	cicp.011010.280611s	NOUN
ap-6080	288	4	.	.	PUNCT
ap-6080	289	1	162	162	NUM
ap-6080	289	2	http://dx.doi.org/10.4208/cicp.011010.280611s	http://dx.doi.org/10.4208/cicp.011010.280611s	PROPN
ap-6080	289	3	acta	acta	PROPN
ap-6080	289	4	polytechnica	polytechnica	PROPN
ap-6080	289	5	61(si):155–162	61(si):155–162	PROPN
ap-6080	289	6	,	,	PUNCT
ap-6080	289	7	2021	2021	NUM
ap-6080	289	8	1	1	NUM
ap-6080	289	9	introduction	introduction	NOUN
ap-6080	289	10	2	2	NUM
ap-6080	289	11	mathematical	mathematical	ADJ
ap-6080	289	12	model	model	NOUN
ap-6080	289	13	2.1	2.1	NUM
ap-6080	289	14	flow	flow	NOUN
ap-6080	289	15	problem	problem	NOUN
ap-6080	289	16	2.2	2.2	NUM
ap-6080	289	17	structure	structure	NOUN
ap-6080	289	18	model	model	NOUN
ap-6080	289	19	2.3	2.3	NUM
ap-6080	289	20	coupling	coupling	NOUN
ap-6080	289	21	conditions	condition	NOUN
ap-6080	289	22	2.4	2.4	NUM
ap-6080	289	23	treatment	treatment	NOUN
ap-6080	289	24	of	of	ADP
ap-6080	289	25	the	the	DET
ap-6080	289	26	contact	contact	NOUN
ap-6080	289	27	problem	problem	NOUN
ap-6080	289	28	2.5	2.5	NUM
ap-6080	289	29	mesh	mesh	NOUN
ap-6080	289	30	deformation	deformation	NOUN
ap-6080	289	31	3	3	NUM
ap-6080	289	32	numerical	numerical	ADJ
ap-6080	289	33	approximation	approximation	NOUN
ap-6080	289	34	3.1	3.1	NUM
ap-6080	289	35	weak	weak	ADJ
ap-6080	289	36	formulation	formulation	NOUN
ap-6080	289	37	3.2	3.2	NUM
ap-6080	289	38	time	time	NOUN
ap-6080	289	39	discretization	discretization	NOUN
ap-6080	289	40	3.3	3.3	NUM
ap-6080	289	41	finite	finite	NOUN
ap-6080	289	42	element	element	NOUN
ap-6080	289	43	approximations	approximation	NOUN
ap-6080	289	44	3.4	3.4	NUM
ap-6080	289	45	linearization	linearization	NOUN
ap-6080	289	46	4	4	NUM
ap-6080	289	47	solution	solution	NOUN
ap-6080	289	48	of	of	ADP
ap-6080	289	49	the	the	DET
ap-6080	289	50	discrete	discrete	ADJ
ap-6080	289	51	problem	problem	NOUN
ap-6080	289	52	4.1	4.1	NUM
ap-6080	289	53	projection	projection	NOUN
ap-6080	289	54	method	method	NOUN
ap-6080	289	55	4.2	4.2	NUM
ap-6080	289	56	discrete	discrete	ADJ
ap-6080	289	57	projection	projection	NOUN
ap-6080	289	58	methods	method	NOUN
ap-6080	289	59	and	and	CCONJ
ap-6080	289	60	preconditioning	precondition	VERB
ap-6080	289	61	5	5	NUM
ap-6080	289	62	numerical	numerical	ADJ
ap-6080	289	63	results	result	NOUN
ap-6080	289	64	6	6	NUM
ap-6080	289	65	conclusion	conclusion	NOUN
ap-6080	289	66	acknowledgements	acknowledgement	NOUN
ap-6080	289	67	references	reference	NOUN