id	sid	tid	token	lemma	pos
ispiv-189	1	1	14th	14th	ADJ
ispiv-189	1	2	international	international	ADJ
ispiv-189	1	3	symposium	symposium	NOUN
ispiv-189	1	4	on	on	ADP
ispiv-189	1	5	particle	particle	NOUN
ispiv-189	1	6	image	image	NOUN
ispiv-189	1	7	velocimetry	velocimetry	NOUN
ispiv-189	1	8	–	–	PUNCT
ispiv-189	1	9	ispiv	ispiv	NOUN
ispiv-189	1	10	2021	2021	NUM
ispiv-189	1	11	august	august	PROPN
ispiv-189	1	12	1–5	1–5	NUM
ispiv-189	1	13	,	,	PUNCT
ispiv-189	1	14	2021	2021	NUM
ispiv-189	1	15	error	error	NOUN
ispiv-189	1	16	propagation	propagation	NOUN
ispiv-189	1	17	dynamics	dynamic	NOUN
ispiv-189	1	18	of	of	ADP
ispiv-189	1	19	velocimetry	velocimetry	NOUN
ispiv-189	1	20	-	-	PUNCT
ispiv-189	1	21	based	base	VERB
ispiv-189	1	22	pressure	pressure	NOUN
ispiv-189	1	23	field	field	NOUN
ispiv-189	1	24	calculations	calculation	NOUN
ispiv-189	1	25	(	(	PUNCT
ispiv-189	1	26	2	2	NUM
ispiv-189	1	27	):	):	PUNCT
ispiv-189	1	28	on	on	ADP
ispiv-189	1	29	the	the	DET
ispiv-189	1	30	error	error	NOUN
ispiv-189	1	31	profile	profile	NOUN
ispiv-189	1	32	matthew	matthew	PROPN
ispiv-189	1	33	faiella1	faiella1	PROPN
ispiv-189	1	34	,	,	PUNCT
ispiv-189	1	35	corwin	corwin	PROPN
ispiv-189	1	36	grant	grant	PROPN
ispiv-189	1	37	jeon	jeon	PROPN
ispiv-189	1	38	macmillan1	macmillan1	PROPN
ispiv-189	1	39	,	,	PUNCT
ispiv-189	1	40	jared	jared	PROPN
ispiv-189	2	1	p.	p.	PROPN
ispiv-189	2	2	whitehead2∗	whitehead2∗	PROPN
ispiv-189	3	1	and	and	CCONJ
ispiv-189	3	2	zhao	zhao	PROPN
ispiv-189	3	3	pan1†	pan1†	PROPN
ispiv-189	3	4	1	1	NUM
ispiv-189	3	5	university	university	NOUN
ispiv-189	3	6	of	of	ADP
ispiv-189	3	7	waterloo	waterloo	PROPN
ispiv-189	3	8	,	,	PUNCT
ispiv-189	3	9	department	department	NOUN
ispiv-189	3	10	of	of	ADP
ispiv-189	3	11	mechanical	mechanical	ADJ
ispiv-189	3	12	and	and	CCONJ
ispiv-189	3	13	mechatronics	mechatronic	NOUN
ispiv-189	3	14	engineering	engineering	NOUN
ispiv-189	3	15	,	,	PUNCT
ispiv-189	3	16	on	on	ADP
ispiv-189	3	17	n2l	n2l	PROPN
ispiv-189	3	18	3g1	3g1	NUM
ispiv-189	3	19	,	,	PUNCT
ispiv-189	3	20	canada	canada	PROPN
ispiv-189	3	21	2	2	NUM
ispiv-189	3	22	brigham	brigham	PROPN
ispiv-189	3	23	young	young	ADJ
ispiv-189	3	24	university	university	NOUN
ispiv-189	3	25	,	,	PUNCT
ispiv-189	3	26	mathematics	mathematics	PROPN
ispiv-189	3	27	department	department	PROPN
ispiv-189	3	28	,	,	PUNCT
ispiv-189	3	29	provo	provo	PROPN
ispiv-189	3	30	,	,	PUNCT
ispiv-189	3	31	ut	ut	PROPN
ispiv-189	3	32	84602	84602	NUM
ispiv-189	3	33	,	,	PUNCT
ispiv-189	3	34	usa	usa	PROPN
ispiv-189	3	35	∗	∗	PROPN
ispiv-189	3	36	whitehead@mathematics.byu.edu	whitehead@mathematics.byu.edu	PROPN
ispiv-189	3	37	†	†	PROPN
ispiv-189	3	38	zhao.pan@uwaterloo.ca	zhao.pan@uwaterloo.ca	PROPN
ispiv-189	3	39	abstract	abstract	ADJ
ispiv-189	3	40	this	this	DET
ispiv-189	3	41	work	work	NOUN
ispiv-189	3	42	investigates	investigate	VERB
ispiv-189	3	43	the	the	DET
ispiv-189	3	44	propagation	propagation	NOUN
ispiv-189	3	45	of	of	ADP
ispiv-189	3	46	error	error	NOUN
ispiv-189	3	47	in	in	ADP
ispiv-189	3	48	a	a	DET
ispiv-189	3	49	velocimetry	velocimetry	NOUN
ispiv-189	3	50	-	-	PUNCT
ispiv-189	3	51	based	base	VERB
ispiv-189	3	52	pressure	pressure	NOUN
ispiv-189	3	53	field	field	NOUN
ispiv-189	3	54	reconstruction	reconstruction	NOUN
ispiv-189	3	55	(	(	PUNCT
ispiv-189	3	56	vpressure	vpressure	NOUN
ispiv-189	3	57	)	)	PUNCT
ispiv-189	3	58	problem	problem	NOUN
ispiv-189	3	59	to	to	PART
ispiv-189	3	60	determine	determine	VERB
ispiv-189	3	61	and	and	CCONJ
ispiv-189	3	62	explain	explain	VERB
ispiv-189	3	63	the	the	DET
ispiv-189	3	64	effects	effect	NOUN
ispiv-189	3	65	of	of	ADP
ispiv-189	3	66	error	error	NOUN
ispiv-189	3	67	profile	profile	NOUN
ispiv-189	3	68	of	of	ADP
ispiv-189	3	69	the	the	DET
ispiv-189	3	70	data	datum	NOUN
ispiv-189	3	71	on	on	ADP
ispiv-189	3	72	the	the	DET
ispiv-189	3	73	error	error	NOUN
ispiv-189	3	74	propagation	propagation	NOUN
ispiv-189	3	75	.	.	PUNCT
ispiv-189	4	1	the	the	DET
ispiv-189	4	2	results	result	NOUN
ispiv-189	4	3	discussed	discuss	VERB
ispiv-189	4	4	are	be	AUX
ispiv-189	4	5	an	an	DET
ispiv-189	4	6	extension	extension	NOUN
ispiv-189	4	7	to	to	ADP
ispiv-189	4	8	those	those	PRON
ispiv-189	4	9	found	find	VERB
ispiv-189	4	10	in	in	ADP
ispiv-189	4	11	pan	pan	PROPN
ispiv-189	4	12	et	et	PROPN
ispiv-189	4	13	al	al	PROPN
ispiv-189	4	14	.	.	PUNCT
ispiv-189	5	1	(	(	PUNCT
ispiv-189	5	2	2016	2016	NUM
ispiv-189	5	3	)	)	PUNCT
ispiv-189	5	4	.	.	PUNCT
ispiv-189	6	1	we	we	PRON
ispiv-189	6	2	first	first	ADV
ispiv-189	6	3	show	show	VERB
ispiv-189	6	4	how	how	SCONJ
ispiv-189	6	5	to	to	PART
ispiv-189	6	6	determine	determine	VERB
ispiv-189	6	7	the	the	DET
ispiv-189	6	8	upper	upper	ADJ
ispiv-189	6	9	bound	bound	NOUN
ispiv-189	6	10	of	of	ADP
ispiv-189	6	11	the	the	DET
ispiv-189	6	12	error	error	NOUN
ispiv-189	6	13	in	in	ADP
ispiv-189	6	14	the	the	DET
ispiv-189	6	15	pressure	pressure	NOUN
ispiv-189	6	16	field	field	NOUN
ispiv-189	6	17	,	,	PUNCT
ispiv-189	6	18	and	and	CCONJ
ispiv-189	6	19	that	that	SCONJ
ispiv-189	6	20	this	this	DET
ispiv-189	6	21	worst	bad	ADJ
ispiv-189	6	22	scenario	scenario	NOUN
ispiv-189	6	23	for	for	ADP
ispiv-189	6	24	error	error	NOUN
ispiv-189	6	25	in	in	ADP
ispiv-189	6	26	the	the	DET
ispiv-189	6	27	data	data	NOUN
ispiv-189	6	28	field	field	NOUN
ispiv-189	6	29	is	be	AUX
ispiv-189	6	30	unique	unique	ADJ
ispiv-189	6	31	and	and	CCONJ
ispiv-189	6	32	depends	depend	VERB
ispiv-189	6	33	on	on	ADP
ispiv-189	6	34	the	the	DET
ispiv-189	6	35	characteristics	characteristic	NOUN
ispiv-189	6	36	of	of	ADP
ispiv-189	6	37	the	the	DET
ispiv-189	6	38	domain	domain	NOUN
ispiv-189	6	39	.	.	PUNCT
ispiv-189	7	1	we	we	PRON
ispiv-189	7	2	then	then	ADV
ispiv-189	7	3	show	show	VERB
ispiv-189	7	4	that	that	SCONJ
ispiv-189	7	5	the	the	DET
ispiv-189	7	6	error	error	NOUN
ispiv-189	7	7	propagation	propagation	NOUN
ispiv-189	7	8	for	for	ADP
ispiv-189	7	9	a	a	DET
ispiv-189	7	10	v	v	NOUN
ispiv-189	7	11	-	-	PUNCT
ispiv-189	7	12	pressure	pressure	NOUN
ispiv-189	7	13	problem	problem	NOUN
ispiv-189	7	14	is	be	AUX
ispiv-189	7	15	analogous	analogous	ADJ
ispiv-189	7	16	to	to	ADP
ispiv-189	7	17	elastic	elastic	ADJ
ispiv-189	7	18	deformation	deformation	NOUN
ispiv-189	7	19	in	in	ADP
ispiv-189	7	20	,	,	PUNCT
ispiv-189	7	21	for	for	ADP
ispiv-189	7	22	example	example	NOUN
ispiv-189	7	23	,	,	PUNCT
ispiv-189	7	24	a	a	DET
ispiv-189	7	25	euler	euler	VERB
ispiv-189	7	26	-	-	PUNCT
ispiv-189	7	27	bernoulli	bernoulli	NOUN
ispiv-189	7	28	beam	beam	NOUN
ispiv-189	7	29	or	or	CCONJ
ispiv-189	7	30	kirchhoff	kirchhoff	NOUN
ispiv-189	7	31	-	-	PUNCT
ispiv-189	7	32	love	love	NOUN
ispiv-189	7	33	plate	plate	NOUN
ispiv-189	7	34	for	for	ADP
ispiv-189	7	35	oneand	oneand	ADJ
ispiv-189	7	36	two	two	NUM
ispiv-189	7	37	-	-	PUNCT
ispiv-189	7	38	dimensional	dimensional	ADJ
ispiv-189	7	39	problems	problem	NOUN
ispiv-189	7	40	,	,	PUNCT
ispiv-189	7	41	respectively	respectively	ADV
ispiv-189	7	42	.	.	PUNCT
ispiv-189	8	1	finally	finally	ADV
ispiv-189	8	2	,	,	PUNCT
ispiv-189	8	3	we	we	PRON
ispiv-189	8	4	discuss	discuss	VERB
ispiv-189	8	5	the	the	DET
ispiv-189	8	6	difference	difference	NOUN
ispiv-189	8	7	in	in	ADP
ispiv-189	8	8	error	error	NOUN
ispiv-189	8	9	propagation	propagation	NOUN
ispiv-189	8	10	near	near	ADP
ispiv-189	8	11	dirichlet	dirichlet	PROPN
ispiv-189	8	12	and	and	CCONJ
ispiv-189	8	13	neumann	neumann	PROPN
ispiv-189	8	14	boundary	boundary	ADJ
ispiv-189	8	15	conditions	condition	NOUN
ispiv-189	8	16	,	,	PUNCT
ispiv-189	8	17	and	and	CCONJ
ispiv-189	8	18	explain	explain	VERB
ispiv-189	8	19	the	the	DET
ispiv-189	8	20	behavior	behavior	NOUN
ispiv-189	8	21	using	use	VERB
ispiv-189	8	22	green	green	PROPN
ispiv-189	8	23	’s	’s	PART
ispiv-189	8	24	function	function	NOUN
ispiv-189	8	25	and	and	CCONJ
ispiv-189	8	26	the	the	DET
ispiv-189	8	27	solid	solid	ADJ
ispiv-189	8	28	mechanics	mechanic	NOUN
ispiv-189	8	29	analogy	analogy	NOUN
ispiv-189	8	30	.	.	PUNCT
ispiv-189	9	1	the	the	DET
ispiv-189	9	2	methods	method	NOUN
ispiv-189	9	3	discussed	discuss	VERB
ispiv-189	9	4	in	in	ADP
ispiv-189	9	5	this	this	DET
ispiv-189	9	6	paper	paper	NOUN
ispiv-189	9	7	will	will	AUX
ispiv-189	9	8	benefit	benefit	VERB
ispiv-189	9	9	the	the	DET
ispiv-189	9	10	community	community	NOUN
ispiv-189	9	11	in	in	ADP
ispiv-189	9	12	two	two	NUM
ispiv-189	9	13	ways	way	NOUN
ispiv-189	9	14	:	:	PUNCT
ispiv-189	9	15	i	i	NOUN
ispiv-189	9	16	)	)	PUNCT
ispiv-189	9	17	to	to	PART
ispiv-189	9	18	give	give	VERB
ispiv-189	9	19	experimentalists	experimentalist	NOUN
ispiv-189	9	20	intuitive	intuitive	ADJ
ispiv-189	9	21	and	and	CCONJ
ispiv-189	9	22	quantitative	quantitative	ADJ
ispiv-189	9	23	insights	insight	NOUN
ispiv-189	9	24	to	to	PART
ispiv-189	9	25	design	design	VERB
ispiv-189	9	26	tests	test	NOUN
ispiv-189	9	27	that	that	PRON
ispiv-189	9	28	minimize	minimize	VERB
ispiv-189	9	29	error	error	NOUN
ispiv-189	9	30	propagation	propagation	NOUN
ispiv-189	9	31	for	for	ADP
ispiv-189	9	32	a	a	DET
ispiv-189	9	33	v	v	NOUN
ispiv-189	9	34	-	-	PUNCT
ispiv-189	9	35	pressure	pressure	NOUN
ispiv-189	9	36	problem	problem	NOUN
ispiv-189	9	37	,	,	PUNCT
ispiv-189	9	38	and	and	CCONJ
ispiv-189	9	39	ii	ii	NOUN
ispiv-189	9	40	)	)	PUNCT
ispiv-189	9	41	to	to	PART
ispiv-189	9	42	create	create	VERB
ispiv-189	9	43	tests	test	NOUN
ispiv-189	9	44	with	with	ADP
ispiv-189	9	45	significant	significant	ADJ
ispiv-189	9	46	error	error	NOUN
ispiv-189	9	47	propagation	propagation	NOUN
ispiv-189	9	48	for	for	ADP
ispiv-189	9	49	the	the	DET
ispiv-189	9	50	benchmarking	benchmarking	NOUN
ispiv-189	9	51	of	of	ADP
ispiv-189	9	52	v	v	NOUN
ispiv-189	9	53	-	-	PUNCT
ispiv-189	9	54	pressure	pressure	NOUN
ispiv-189	9	55	solvers	solver	NOUN
ispiv-189	9	56	or	or	CCONJ
ispiv-189	9	57	algorithms	algorithm	NOUN
ispiv-189	9	58	.	.	PUNCT
ispiv-189	10	1	this	this	DET
ispiv-189	10	2	paper	paper	NOUN
ispiv-189	10	3	is	be	AUX
ispiv-189	10	4	intended	intend	VERB
ispiv-189	10	5	as	as	ADP
ispiv-189	10	6	a	a	DET
ispiv-189	10	7	summary	summary	NOUN
ispiv-189	10	8	of	of	ADP
ispiv-189	10	9	recent	recent	ADJ
ispiv-189	10	10	research	research	NOUN
ispiv-189	10	11	conducted	conduct	VERB
ispiv-189	10	12	by	by	ADP
ispiv-189	10	13	the	the	DET
ispiv-189	10	14	authors	author	NOUN
ispiv-189	10	15	,	,	PUNCT
ispiv-189	10	16	whereas	whereas	SCONJ
ispiv-189	10	17	the	the	DET
ispiv-189	10	18	full	full	ADJ
ispiv-189	10	19	work	work	NOUN
ispiv-189	10	20	has	have	AUX
ispiv-189	10	21	been	be	AUX
ispiv-189	10	22	recently	recently	ADV
ispiv-189	10	23	published	publish	VERB
ispiv-189	10	24	(	(	PUNCT
ispiv-189	10	25	faiella	faiella	NOUN
ispiv-189	10	26	et	et	NOUN
ispiv-189	10	27	al	al	PROPN
ispiv-189	10	28	.	.	PROPN
ispiv-189	10	29	,	,	PUNCT
ispiv-189	10	30	2021	2021	NUM
ispiv-189	10	31	)	)	PUNCT
ispiv-189	10	32	.	.	PUNCT
ispiv-189	11	1	1	1	NUM
ispiv-189	11	2	introduction	introduction	NOUN
ispiv-189	11	3	using	use	VERB
ispiv-189	11	4	particle	particle	NOUN
ispiv-189	11	5	image	image	NOUN
ispiv-189	11	6	velocimetry	velocimetry	NOUN
ispiv-189	11	7	(	(	PUNCT
ispiv-189	11	8	piv	piv	NOUN
ispiv-189	11	9	)	)	PUNCT
ispiv-189	11	10	to	to	PART
ispiv-189	11	11	reconstruct	reconstruct	VERB
ispiv-189	11	12	the	the	DET
ispiv-189	11	13	pressure	pressure	NOUN
ispiv-189	11	14	field	field	NOUN
ispiv-189	11	15	in	in	ADP
ispiv-189	11	16	a	a	DET
ispiv-189	11	17	fluid	fluid	ADJ
ispiv-189	11	18	flow	flow	NOUN
ispiv-189	11	19	has	have	VERB
ispiv-189	11	20	many	many	ADJ
ispiv-189	11	21	promising	promising	ADJ
ispiv-189	11	22	applications	application	NOUN
ispiv-189	11	23	(	(	PUNCT
ispiv-189	11	24	for	for	ADP
ispiv-189	11	25	example	example	NOUN
ispiv-189	11	26	,	,	PUNCT
ispiv-189	11	27	see	see	VERB
ispiv-189	11	28	zhang	zhang	PROPN
ispiv-189	11	29	and	and	CCONJ
ispiv-189	11	30	porfiri	porfiri	NOUN
ispiv-189	11	31	(	(	PUNCT
ispiv-189	11	32	2019	2019	NUM
ispiv-189	11	33	)	)	PUNCT
ispiv-189	11	34	;	;	PUNCT
ispiv-189	11	35	zhang	zhang	PROPN
ispiv-189	11	36	et	et	PROPN
ispiv-189	11	37	al	al	PROPN
ispiv-189	11	38	.	.	PROPN
ispiv-189	11	39	(	(	PUNCT
ispiv-189	11	40	2020	2020	NUM
ispiv-189	11	41	)	)	PUNCT
ispiv-189	11	42	;	;	PUNCT
ispiv-189	11	43	deem	deem	VERB
ispiv-189	11	44	et	et	PROPN
ispiv-189	11	45	al	al	PROPN
ispiv-189	11	46	.	.	PROPN
ispiv-189	12	1	(	(	PUNCT
ispiv-189	12	2	2020	2020	NUM
ispiv-189	12	3	)	)	PUNCT
ispiv-189	12	4	;	;	PUNCT
ispiv-189	13	1	pereira	pereira	PROPN
ispiv-189	13	2	et	et	PROPN
ispiv-189	13	3	al	al	PROPN
ispiv-189	13	4	.	.	PROPN
ispiv-189	13	5	(	(	PUNCT
ispiv-189	13	6	2020	2020	NUM
ispiv-189	13	7	)	)	PUNCT
ispiv-189	13	8	)	)	PUNCT
ispiv-189	13	9	.	.	PUNCT
ispiv-189	14	1	while	while	SCONJ
ispiv-189	14	2	uncertainty	uncertainty	NOUN
ispiv-189	14	3	quantification	quantification	NOUN
ispiv-189	14	4	for	for	ADP
ispiv-189	14	5	velocity	velocity	NOUN
ispiv-189	14	6	fields	field	NOUN
ispiv-189	14	7	obtained	obtain	VERB
ispiv-189	14	8	from	from	ADP
ispiv-189	14	9	piv	piv	NOUN
ispiv-189	14	10	experiments	experiment	NOUN
ispiv-189	14	11	has	have	AUX
ispiv-189	14	12	been	be	AUX
ispiv-189	14	13	studied	study	VERB
ispiv-189	14	14	in	in	ADP
ispiv-189	14	15	depth	depth	NOUN
ispiv-189	14	16	(	(	PUNCT
ispiv-189	14	17	wieneke	wieneke	NOUN
ispiv-189	14	18	,	,	PUNCT
ispiv-189	14	19	2017	2017	NUM
ispiv-189	14	20	;	;	PUNCT
ispiv-189	14	21	raffel	raffel	NOUN
ispiv-189	14	22	et	et	NOUN
ispiv-189	14	23	al	al	PROPN
ispiv-189	14	24	.	.	PROPN
ispiv-189	14	25	,	,	PUNCT
ispiv-189	14	26	2018	2018	NUM
ispiv-189	14	27	;	;	PUNCT
ispiv-189	14	28	sciacchitano	sciacchitano	VERB
ispiv-189	14	29	,	,	PUNCT
ispiv-189	14	30	2019	2019	NUM
ispiv-189	14	31	)	)	PUNCT
ispiv-189	14	32	,	,	PUNCT
ispiv-189	14	33	less	less	ADJ
ispiv-189	14	34	research	research	NOUN
ispiv-189	14	35	has	have	AUX
ispiv-189	14	36	been	be	AUX
ispiv-189	14	37	conducted	conduct	VERB
ispiv-189	14	38	into	into	ADP
ispiv-189	14	39	assessing	assess	VERB
ispiv-189	14	40	uncertainty	uncertainty	NOUN
ispiv-189	14	41	in	in	ADP
ispiv-189	14	42	the	the	DET
ispiv-189	14	43	calculated	calculate	VERB
ispiv-189	14	44	pressure	pressure	NOUN
ispiv-189	14	45	field	field	NOUN
ispiv-189	14	46	.	.	PUNCT
ispiv-189	15	1	de	de	PROPN
ispiv-189	15	2	kat	kat	PROPN
ispiv-189	15	3	and	and	CCONJ
ispiv-189	15	4	van	van	PROPN
ispiv-189	15	5	oudheusden	oudheusden	PROPN
ispiv-189	15	6	(	(	PUNCT
ispiv-189	15	7	2012	2012	NUM
ispiv-189	15	8	)	)	PUNCT
ispiv-189	15	9	provides	provide	VERB
ispiv-189	15	10	the	the	DET
ispiv-189	15	11	first	first	ADJ
ispiv-189	15	12	analysis	analysis	NOUN
ispiv-189	15	13	on	on	ADP
ispiv-189	15	14	the	the	DET
ispiv-189	15	15	error	error	NOUN
ispiv-189	15	16	associated	associate	VERB
ispiv-189	15	17	with	with	ADP
ispiv-189	15	18	sampling	sample	VERB
ispiv-189	15	19	frequency	frequency	NOUN
ispiv-189	15	20	(	(	PUNCT
ispiv-189	15	21	spatial	spatial	ADJ
ispiv-189	15	22	and	and	CCONJ
ispiv-189	15	23	temporal	temporal	ADJ
ispiv-189	15	24	)	)	PUNCT
ispiv-189	15	25	in	in	ADP
ispiv-189	15	26	the	the	DET
ispiv-189	15	27	context	context	NOUN
ispiv-189	15	28	of	of	ADP
ispiv-189	15	29	v	v	NOUN
ispiv-189	15	30	-	-	PUNCT
ispiv-189	15	31	pressure	pressure	NOUN
ispiv-189	15	32	problems	problem	NOUN
ispiv-189	15	33	.	.	PUNCT
ispiv-189	16	1	it	it	PRON
ispiv-189	16	2	was	be	AUX
ispiv-189	16	3	commented	comment	VERB
ispiv-189	16	4	that	that	SCONJ
ispiv-189	16	5	the	the	DET
ispiv-189	16	6	central	central	ADJ
ispiv-189	16	7	finite	finite	ADJ
ispiv-189	16	8	difference	difference	NOUN
ispiv-189	16	9	based	base	VERB
ispiv-189	16	10	pressure	pressure	NOUN
ispiv-189	16	11	poisson	poisson	NOUN
ispiv-189	16	12	solver	solver	VERB
ispiv-189	16	13	acts	act	VERB
ispiv-189	16	14	as	as	ADP
ispiv-189	16	15	a	a	DET
ispiv-189	16	16	low	low	ADJ
ispiv-189	16	17	-	-	PUNCT
ispiv-189	16	18	pass	pass	NOUN
ispiv-189	16	19	filter	filter	NOUN
ispiv-189	16	20	,	,	PUNCT
ispiv-189	16	21	effectively	effectively	ADV
ispiv-189	16	22	eliminating	eliminate	VERB
ispiv-189	16	23	the	the	DET
ispiv-189	16	24	highfrequency	highfrequency	NOUN
ispiv-189	16	25	errors	error	NOUN
ispiv-189	16	26	(	(	PUNCT
ispiv-189	16	27	and	and	CCONJ
ispiv-189	16	28	signals	signal	NOUN
ispiv-189	16	29	)	)	PUNCT
ispiv-189	16	30	in	in	ADP
ispiv-189	16	31	the	the	DET
ispiv-189	16	32	pressure	pressure	NOUN
ispiv-189	16	33	calculation	calculation	NOUN
ispiv-189	16	34	.	.	PUNCT
ispiv-189	17	1	the	the	DET
ispiv-189	17	2	ratio	ratio	NOUN
ispiv-189	17	3	of	of	ADP
ispiv-189	17	4	the	the	DET
ispiv-189	17	5	grid	grid	NOUN
ispiv-189	17	6	spacing	spacing	NOUN
ispiv-189	17	7	of	of	ADP
ispiv-189	17	8	the	the	DET
ispiv-189	17	9	numerical	numerical	ADJ
ispiv-189	17	10	method	method	NOUN
ispiv-189	17	11	to	to	ADP
ispiv-189	17	12	the	the	DET
ispiv-189	17	13	temporal	temporal	ADJ
ispiv-189	17	14	or	or	CCONJ
ispiv-189	17	15	spatial	spatial	ADJ
ispiv-189	17	16	wave	wave	NOUN
ispiv-189	17	17	length	length	NOUN
ispiv-189	17	18	of	of	ADP
ispiv-189	17	19	the	the	DET
ispiv-189	17	20	experimental	experimental	ADJ
ispiv-189	17	21	data	datum	NOUN
ispiv-189	17	22	impacts	impact	VERB
ispiv-189	17	23	the	the	DET
ispiv-189	17	24	frequency	frequency	NOUN
ispiv-189	17	25	response	response	NOUN
ispiv-189	17	26	of	of	ADP
ispiv-189	17	27	the	the	DET
ispiv-189	17	28	pressure	pressure	NOUN
ispiv-189	17	29	poisson	poisson	NOUN
ispiv-189	17	30	solver	solver	ADV
ispiv-189	17	31	.	.	PUNCT
ispiv-189	18	1	specifically	specifically	ADV
ispiv-189	18	2	,	,	PUNCT
ispiv-189	18	3	high	high	ADJ
ispiv-189	18	4	frequency	frequency	NOUN
ispiv-189	18	5	data	datum	NOUN
ispiv-189	18	6	(	(	PUNCT
ispiv-189	18	7	or	or	CCONJ
ispiv-189	18	8	noise	noise	NOUN
ispiv-189	18	9	)	)	PUNCT
ispiv-189	18	10	is	be	AUX
ispiv-189	18	11	filtered	filter	VERB
ispiv-189	18	12	resulting	result	VERB
ispiv-189	18	13	in	in	ADP
ispiv-189	18	14	the	the	DET
ispiv-189	18	15	loss	loss	NOUN
ispiv-189	18	16	of	of	ADP
ispiv-189	18	17	high	high	ADJ
ispiv-189	18	18	-	-	PUNCT
ispiv-189	18	19	frequency	frequency	NOUN
ispiv-189	18	20	physics	physics	NOUN
ispiv-189	18	21	(	(	PUNCT
ispiv-189	18	22	or	or	CCONJ
ispiv-189	18	23	low	low	ADJ
ispiv-189	18	24	-	-	PUNCT
ispiv-189	18	25	pass	pass	NOUN
ispiv-189	18	26	filtering	filter	VERB
ispiv-189	18	27	effect	effect	NOUN
ispiv-189	18	28	)	)	PUNCT
ispiv-189	18	29	.	.	PUNCT
ispiv-189	19	1	similarly	similarly	ADV
ispiv-189	19	2	,	,	PUNCT
ispiv-189	19	3	low	low	ADJ
ispiv-189	19	4	frequency	frequency	NOUN
ispiv-189	19	5	errors	error	NOUN
ispiv-189	19	6	(	(	PUNCT
ispiv-189	19	7	and	and	CCONJ
ispiv-189	19	8	signals	signal	NOUN
ispiv-189	19	9	)	)	PUNCT
ispiv-189	19	10	are	be	AUX
ispiv-189	19	11	more	more	ADV
ispiv-189	19	12	likely	likely	ADJ
ispiv-189	19	13	to	to	PART
ispiv-189	19	14	propagate	propagate	VERB
ispiv-189	19	15	through	through	ADP
ispiv-189	19	16	the	the	DET
ispiv-189	19	17	pressure	pressure	NOUN
ispiv-189	19	18	calculation	calculation	NOUN
ispiv-189	19	19	.	.	PUNCT
ispiv-189	20	1	however	however	ADV
ispiv-189	20	2	,	,	PUNCT
ispiv-189	20	3	the	the	DET
ispiv-189	20	4	results	result	NOUN
ispiv-189	20	5	are	be	AUX
ispiv-189	20	6	constrained	constrain	VERB
ispiv-189	20	7	to	to	ADP
ispiv-189	20	8	a	a	DET
ispiv-189	20	9	‘	'	PUNCT
ispiv-189	20	10	local	local	ADJ
ispiv-189	20	11	’	'	PUNCT
ispiv-189	20	12	analysis	analysis	NOUN
ispiv-189	20	13	of	of	ADP
ispiv-189	20	14	a	a	DET
ispiv-189	20	15	specific	specific	ADJ
ispiv-189	20	16	numerical	numerical	ADJ
ispiv-189	20	17	scheme	scheme	NOUN
ispiv-189	20	18	.	.	PUNCT
ispiv-189	21	1	the	the	DET
ispiv-189	21	2	effect	effect	NOUN
ispiv-189	21	3	of	of	ADP
ispiv-189	21	4	the	the	DET
ispiv-189	21	5	‘	'	PUNCT
ispiv-189	21	6	global	global	ADJ
ispiv-189	21	7	’	'	PUNCT
ispiv-189	21	8	setup	setup	NOUN
ispiv-189	21	9	of	of	ADP
ispiv-189	21	10	the	the	DET
ispiv-189	21	11	flow	flow	NOUN
ispiv-189	21	12	domain	domain	NOUN
ispiv-189	21	13	,	,	PUNCT
ispiv-189	21	14	including	include	VERB
ispiv-189	21	15	size	size	NOUN
ispiv-189	21	16	,	,	PUNCT
ispiv-189	21	17	shape	shape	NOUN
ispiv-189	21	18	of	of	ADP
ispiv-189	21	19	the	the	DET
ispiv-189	21	20	domain	domain	NOUN
ispiv-189	21	21	and	and	CCONJ
ispiv-189	21	22	configuration	configuration	NOUN
ispiv-189	21	23	of	of	ADP
ispiv-189	21	24	boundary	boundary	ADJ
ispiv-189	21	25	conditions	condition	NOUN
ispiv-189	21	26	on	on	ADP
ispiv-189	21	27	the	the	DET
ispiv-189	21	28	frequency	frequency	NOUN
ispiv-189	21	29	response	response	NOUN
ispiv-189	21	30	was	be	AUX
ispiv-189	21	31	not	not	PART
ispiv-189	21	32	covered	cover	VERB
ispiv-189	21	33	.	.	PUNCT
ispiv-189	22	1	pan	pan	PROPN
ispiv-189	22	2	et	et	PROPN
ispiv-189	22	3	al	al	PROPN
ispiv-189	22	4	.	.	PUNCT
ispiv-189	23	1	(	(	PUNCT
ispiv-189	23	2	2016	2016	NUM
ispiv-189	23	3	)	)	PUNCT
ispiv-189	23	4	analytically	analytically	ADV
ispiv-189	23	5	discussed	discuss	VERB
ispiv-189	23	6	how	how	SCONJ
ispiv-189	23	7	the	the	DET
ispiv-189	23	8	error	error	NOUN
ispiv-189	23	9	in	in	ADP
ispiv-189	23	10	the	the	DET
ispiv-189	23	11	data	data	NOUN
ispiv-189	23	12	field	field	NOUN
ispiv-189	23	13	propagates	propagate	VERB
ispiv-189	23	14	to	to	ADP
ispiv-189	23	15	the	the	DET
ispiv-189	23	16	calculated	calculated	ADJ
ispiv-189	23	17	pressure	pressure	NOUN
ispiv-189	23	18	field	field	NOUN
ispiv-189	23	19	.	.	PUNCT
ispiv-189	24	1	the	the	DET
ispiv-189	24	2	upper	upper	ADJ
ispiv-189	24	3	bounds	bound	NOUN
ispiv-189	24	4	of	of	ADP
ispiv-189	24	5	the	the	DET
ispiv-189	24	6	error	error	NOUN
ispiv-189	24	7	in	in	ADP
ispiv-189	24	8	the	the	DET
ispiv-189	24	9	calculated	calculate	VERB
ispiv-189	24	10	pressure	pressure	NOUN
ispiv-189	24	11	field	field	NOUN
ispiv-189	24	12	are	be	AUX
ispiv-189	24	13	derived	derive	VERB
ispiv-189	24	14	for	for	ADP
ispiv-189	24	15	different	different	ADJ
ispiv-189	24	16	setups	setup	NOUN
ispiv-189	24	17	.	.	PUNCT
ispiv-189	25	1	it	it	PRON
ispiv-189	25	2	showed	show	VERB
ispiv-189	25	3	that	that	SCONJ
ispiv-189	25	4	the	the	DET
ispiv-189	25	5	error	error	NOUN
ispiv-189	25	6	propagation	propagation	NOUN
ispiv-189	25	7	dynamics	dynamic	NOUN
ispiv-189	25	8	of	of	ADP
ispiv-189	25	9	a	a	DET
ispiv-189	25	10	v	v	NOUN
ispiv-189	25	11	-	-	PUNCT
ispiv-189	25	12	pressure	pressure	NOUN
ispiv-189	25	13	problem	problem	NOUN
ispiv-189	25	14	can	can	AUX
ispiv-189	25	15	be	be	AUX
ispiv-189	25	16	significantly	significantly	ADV
ispiv-189	25	17	affected	affect	VERB
ispiv-189	25	18	by	by	ADP
ispiv-189	25	19	the	the	DET
ispiv-189	25	20	‘	'	PUNCT
ispiv-189	25	21	global	global	ADJ
ispiv-189	25	22	’	'	PUNCT
ispiv-189	25	23	setup	setup	NOUN
ispiv-189	25	24	of	of	ADP
ispiv-189	25	25	the	the	DET
ispiv-189	25	26	domain	domain	NOUN
ispiv-189	25	27	,	,	PUNCT
ispiv-189	25	28	especially	especially	ADV
ispiv-189	25	29	the	the	DET
ispiv-189	25	30	configuration	configuration	NOUN
ispiv-189	25	31	of	of	ADP
ispiv-189	25	32	the	the	DET
ispiv-189	25	33	boundary	boundary	ADJ
ispiv-189	25	34	conditions	condition	NOUN
ispiv-189	25	35	.	.	PUNCT
ispiv-189	26	1	under	under	ADP
ispiv-189	26	2	the	the	DET
ispiv-189	26	3	general	general	ADJ
ispiv-189	26	4	analytical	analytical	ADJ
ispiv-189	26	5	framework	framework	NOUN
ispiv-189	26	6	,	,	PUNCT
ispiv-189	26	7	this	this	DET
ispiv-189	26	8	work	work	NOUN
ispiv-189	26	9	indicated	indicate	VERB
ispiv-189	26	10	that	that	SCONJ
ispiv-189	26	11	the	the	DET
ispiv-189	26	12	error	error	NOUN
ispiv-189	26	13	propagation	propagation	NOUN
ispiv-189	26	14	is	be	AUX
ispiv-189	26	15	also	also	ADV
ispiv-189	26	16	influenced	influence	VERB
ispiv-189	26	17	by	by	ADP
ispiv-189	26	18	the	the	DET
ispiv-189	26	19	error	error	NOUN
ispiv-189	26	20	profile	profile	NOUN
ispiv-189	26	21	in	in	ADP
ispiv-189	26	22	the	the	DET
ispiv-189	26	23	data	data	NOUN
ispiv-189	26	24	field	field	NOUN
ispiv-189	26	25	.	.	PUNCT
ispiv-189	27	1	however	however	ADV
ispiv-189	27	2	,	,	PUNCT
ispiv-189	27	3	this	this	DET
ispiv-189	27	4	paper	paper	NOUN
ispiv-189	27	5	did	do	AUX
ispiv-189	27	6	not	not	PART
ispiv-189	27	7	identify	identify	VERB
ispiv-189	27	8	a	a	DET
ispiv-189	27	9	worst	bad	ADJ
ispiv-189	27	10	case	case	NOUN
ispiv-189	27	11	error	error	NOUN
ispiv-189	27	12	profile	profile	NOUN
ispiv-189	27	13	in	in	ADP
ispiv-189	27	14	the	the	DET
ispiv-189	27	15	data	data	NOUN
ispiv-189	27	16	field	field	NOUN
ispiv-189	27	17	that	that	PRON
ispiv-189	27	18	leads	lead	VERB
ispiv-189	27	19	to	to	ADP
ispiv-189	27	20	the	the	DET
ispiv-189	27	21	maximum	maximum	ADJ
ispiv-189	27	22	overall	overall	ADJ
ispiv-189	27	23	error	error	NOUN
ispiv-189	27	24	in	in	ADP
ispiv-189	27	25	the	the	DET
ispiv-189	27	26	calculated	calculate	VERB
ispiv-189	27	27	pressure	pressure	NOUN
ispiv-189	27	28	field	field	NOUN
ispiv-189	27	29	.	.	PUNCT
ispiv-189	28	1	moreover	moreover	ADV
ispiv-189	28	2	,	,	PUNCT
ispiv-189	28	3	how	how	SCONJ
ispiv-189	28	4	the	the	DET
ispiv-189	28	5	error	error	NOUN
ispiv-189	28	6	in	in	ADP
ispiv-189	28	7	the	the	DET
ispiv-189	28	8	data	data	NOUN
ispiv-189	28	9	field	field	NOUN
ispiv-189	28	10	with	with	ADP
ispiv-189	28	11	different	different	ADJ
ispiv-189	28	12	profiles	profile	NOUN
ispiv-189	28	13	affects	affect	VERB
ispiv-189	28	14	the	the	DET
ispiv-189	28	15	error	error	NOUN
ispiv-189	28	16	propagation	propagation	NOUN
ispiv-189	28	17	was	be	AUX
ispiv-189	28	18	not	not	PART
ispiv-189	28	19	discussed	discuss	VERB
ispiv-189	28	20	.	.	PUNCT
ispiv-189	29	1	in	in	ADP
ispiv-189	29	2	the	the	DET
ispiv-189	29	3	present	present	ADJ
ispiv-189	29	4	work	work	NOUN
ispiv-189	29	5	,	,	PUNCT
ispiv-189	29	6	we	we	PRON
ispiv-189	29	7	show	show	VERB
ispiv-189	29	8	a	a	DET
ispiv-189	29	9	systematic	systematic	ADJ
ispiv-189	29	10	method	method	NOUN
ispiv-189	29	11	for	for	ADP
ispiv-189	29	12	finding	find	VERB
ispiv-189	29	13	the	the	DET
ispiv-189	29	14	worst	bad	ADJ
ispiv-189	29	15	case	case	NOUN
ispiv-189	29	16	error	error	NOUN
ispiv-189	29	17	profile	profile	NOUN
ispiv-189	29	18	in	in	ADP
ispiv-189	29	19	the	the	DET
ispiv-189	29	20	data	data	NOUN
ispiv-189	29	21	field	field	NOUN
ispiv-189	29	22	which	which	PRON
ispiv-189	29	23	causes	cause	VERB
ispiv-189	29	24	the	the	DET
ispiv-189	29	25	most	most	ADJ
ispiv-189	29	26	error	error	NOUN
ispiv-189	29	27	in	in	ADP
ispiv-189	29	28	the	the	DET
ispiv-189	29	29	pressure	pressure	NOUN
ispiv-189	29	30	field	field	NOUN
ispiv-189	29	31	to	to	PART
ispiv-189	29	32	be	be	AUX
ispiv-189	29	33	reached	reach	VERB
ispiv-189	29	34	.	.	PUNCT
ispiv-189	30	1	the	the	DET
ispiv-189	30	2	procedure	procedure	NOUN
ispiv-189	30	3	for	for	ADP
ispiv-189	30	4	finding	find	VERB
ispiv-189	30	5	this	this	DET
ispiv-189	30	6	worst	bad	ADJ
ispiv-189	30	7	case	case	NOUN
ispiv-189	30	8	(	(	PUNCT
ispiv-189	30	9	or	or	CCONJ
ispiv-189	30	10	most	most	ADV
ispiv-189	30	11	dangerous	dangerous	ADJ
ispiv-189	30	12	)	)	PUNCT
ispiv-189	30	13	error	error	NOUN
ispiv-189	30	14	in	in	ADP
ispiv-189	30	15	the	the	DET
ispiv-189	30	16	data	data	NOUN
ispiv-189	30	17	field	field	NOUN
ispiv-189	30	18	demonstrates	demonstrate	VERB
ispiv-189	30	19	how	how	SCONJ
ispiv-189	30	20	the	the	DET
ispiv-189	30	21	profile	profile	NOUN
ispiv-189	30	22	of	of	ADP
ispiv-189	30	23	the	the	DET
ispiv-189	30	24	error	error	NOUN
ispiv-189	30	25	in	in	ADP
ispiv-189	30	26	the	the	DET
ispiv-189	30	27	data	datum	NOUN
ispiv-189	30	28	(	(	PUNCT
ispiv-189	30	29	e.g.	e.g.	ADV
ispiv-189	30	30	,	,	PUNCT
ispiv-189	30	31	spatial	spatial	ADJ
ispiv-189	30	32	frequency	frequency	NOUN
ispiv-189	30	33	and	and	CCONJ
ispiv-189	30	34	location	location	NOUN
ispiv-189	30	35	of	of	ADP
ispiv-189	30	36	error	error	NOUN
ispiv-189	30	37	peaks	peak	NOUN
ispiv-189	30	38	in	in	ADP
ispiv-189	30	39	the	the	DET
ispiv-189	30	40	domain	domain	NOUN
ispiv-189	30	41	)	)	PUNCT
ispiv-189	30	42	combined	combine	VERB
ispiv-189	30	43	with	with	ADP
ispiv-189	30	44	the	the	DET
ispiv-189	30	45	fundamental	fundamental	ADJ
ispiv-189	30	46	configuration	configuration	NOUN
ispiv-189	30	47	of	of	ADP
ispiv-189	30	48	the	the	DET
ispiv-189	30	49	domain	domain	NOUN
ispiv-189	30	50	(	(	PUNCT
ispiv-189	30	51	i.e.	i.e.	X
ispiv-189	30	52	size	size	NOUN
ispiv-189	30	53	,	,	PUNCT
ispiv-189	30	54	dimension	dimension	NOUN
ispiv-189	30	55	,	,	PUNCT
ispiv-189	30	56	shape	shape	NOUN
ispiv-189	30	57	,	,	PUNCT
ispiv-189	30	58	and	and	CCONJ
ispiv-189	30	59	boundary	boundary	ADJ
ispiv-189	30	60	condition	condition	NOUN
ispiv-189	30	61	configuration	configuration	NOUN
ispiv-189	30	62	of	of	ADP
ispiv-189	30	63	the	the	DET
ispiv-189	30	64	domain	domain	NOUN
ispiv-189	30	65	)	)	PUNCT
ispiv-189	30	66	affects	affect	VERB
ispiv-189	30	67	the	the	DET
ispiv-189	30	68	error	error	NOUN
ispiv-189	30	69	propagation	propagation	NOUN
ispiv-189	30	70	.	.	PUNCT
ispiv-189	31	1	2	2	NUM
ispiv-189	31	2	worst	bad	ADJ
ispiv-189	31	3	case	case	NOUN
ispiv-189	31	4	error	error	NOUN
ispiv-189	31	5	and	and	CCONJ
ispiv-189	31	6	the	the	DET
ispiv-189	31	7	effect	effect	NOUN
ispiv-189	31	8	of	of	ADP
ispiv-189	31	9	fundamental	fundamental	ADJ
ispiv-189	31	10	domain	domain	NOUN
ispiv-189	31	11	configuration	configuration	NOUN
ispiv-189	31	12	the	the	DET
ispiv-189	31	13	error	error	NOUN
ispiv-189	31	14	propagation	propagation	NOUN
ispiv-189	31	15	from	from	ADP
ispiv-189	31	16	the	the	DET
ispiv-189	31	17	data	data	NOUN
ispiv-189	31	18	field	field	NOUN
ispiv-189	31	19	(	(	PUNCT
ispiv-189	31	20	ε	ε	PROPN
ispiv-189	31	21	f	f	PROPN
ispiv-189	31	22	)	)	PUNCT
ispiv-189	31	23	to	to	ADP
ispiv-189	31	24	the	the	DET
ispiv-189	31	25	calculated	calculated	ADJ
ispiv-189	31	26	pressure	pressure	NOUN
ispiv-189	31	27	field	field	NOUN
ispiv-189	31	28	(	(	PUNCT
ispiv-189	31	29	εp	εp	ADP
ispiv-189	31	30	)	)	PUNCT
ispiv-189	31	31	for	for	ADP
ispiv-189	31	32	a	a	DET
ispiv-189	31	33	v	v	NOUN
ispiv-189	31	34	-	-	PUNCT
ispiv-189	31	35	pressure	pressure	NOUN
ispiv-189	31	36	problem	problem	NOUN
ispiv-189	31	37	can	can	AUX
ispiv-189	31	38	be	be	AUX
ispiv-189	31	39	modelled	model	VERB
ispiv-189	31	40	via	via	ADP
ispiv-189	31	41	a	a	DET
ispiv-189	31	42	poisson	poisson	NOUN
ispiv-189	31	43	’s	’s	PART
ispiv-189	31	44	equation	equation	NOUN
ispiv-189	31	45	with	with	ADP
ispiv-189	31	46	respect	respect	NOUN
ispiv-189	31	47	to	to	ADP
ispiv-189	31	48	error	error	NOUN
ispiv-189	31	49	(	(	PUNCT
ispiv-189	31	50	pan	pan	NOUN
ispiv-189	31	51	et	et	PROPN
ispiv-189	31	52	al	al	PROPN
ispiv-189	31	53	.	.	PROPN
ispiv-189	31	54	,	,	PUNCT
ispiv-189	31	55	2016	2016	NUM
ispiv-189	31	56	):	):	PUNCT
ispiv-189	31	57	ε	ε	PROPN
ispiv-189	31	58	f	f	PROPN
ispiv-189	31	59	=	=	PROPN
ispiv-189	31	60	∇	∇	X
ispiv-189	31	61	2	2	NUM
ispiv-189	31	62	εp	εp	NOUN
ispiv-189	31	63	.	.	PUNCT
ispiv-189	32	1	(	(	PUNCT
ispiv-189	32	2	1	1	X
ispiv-189	32	3	)	)	PUNCT
ispiv-189	32	4	the	the	DET
ispiv-189	32	5	power	power	NOUN
ispiv-189	32	6	of	of	ADP
ispiv-189	32	7	the	the	DET
ispiv-189	32	8	error	error	NOUN
ispiv-189	32	9	,	,	PUNCT
ispiv-189	32	10	averaged	average	VERB
ispiv-189	32	11	over	over	ADP
ispiv-189	32	12	the	the	DET
ispiv-189	32	13	space	space	NOUN
ispiv-189	32	14	of	of	ADP
ispiv-189	32	15	the	the	DET
ispiv-189	32	16	domain	domain	NOUN
ispiv-189	32	17	,	,	PUNCT
ispiv-189	32	18	can	can	AUX
ispiv-189	32	19	be	be	AUX
ispiv-189	32	20	measured	measure	VERB
ispiv-189	32	21	by	by	ADP
ispiv-189	32	22	the	the	DET
ispiv-189	32	23	l2	l2	NOUN
ispiv-189	32	24	norm	norm	NOUN
ispiv-189	32	25	;	;	PUNCT
ispiv-189	32	26	for	for	ADP
ispiv-189	32	27	example	example	NOUN
ispiv-189	32	28	,	,	PUNCT
ispiv-189	32	29	the	the	DET
ispiv-189	32	30	error	error	NOUN
ispiv-189	32	31	level	level	NOUN
ispiv-189	32	32	of	of	ADP
ispiv-189	32	33	the	the	DET
ispiv-189	32	34	calculated	calculate	VERB
ispiv-189	32	35	pressure	pressure	NOUN
ispiv-189	32	36	field	field	NOUN
ispiv-189	32	37	is	be	AUX
ispiv-189	32	38	||εp||l2(ω	||εp||l2(ω	NUM
ispiv-189	32	39	)	)	PUNCT
ispiv-189	33	1	=	=	PUNCT
ispiv-189	33	2	√∫	√∫	ADJ
ispiv-189	33	3	ε2	ε2	ADJ
ispiv-189	33	4	pdω	pdω	NOUN
ispiv-189	33	5	|ω|	|ω|	NUM
ispiv-189	33	6	,	,	PUNCT
ispiv-189	33	7	(	(	PUNCT
ispiv-189	33	8	2	2	X
ispiv-189	33	9	)	)	PUNCT
ispiv-189	33	10	where	where	SCONJ
ispiv-189	33	11	ω	ω	PROPN
ispiv-189	33	12	is	be	AUX
ispiv-189	33	13	the	the	DET
ispiv-189	33	14	domain	domain	NOUN
ispiv-189	33	15	of	of	ADP
ispiv-189	33	16	the	the	DET
ispiv-189	33	17	flow	flow	NOUN
ispiv-189	33	18	field	field	NOUN
ispiv-189	33	19	,	,	PUNCT
ispiv-189	33	20	and	and	CCONJ
ispiv-189	33	21	|ω|	|ω|	PROPN
ispiv-189	33	22	is	be	AUX
ispiv-189	33	23	the	the	DET
ispiv-189	33	24	length	length	NOUN
ispiv-189	33	25	,	,	PUNCT
ispiv-189	33	26	area	area	NOUN
ispiv-189	33	27	or	or	CCONJ
ispiv-189	33	28	volume	volume	NOUN
ispiv-189	33	29	of	of	ADP
ispiv-189	33	30	the	the	DET
ispiv-189	33	31	domain	domain	NOUN
ispiv-189	33	32	,	,	PUNCT
ispiv-189	33	33	for	for	ADP
ispiv-189	33	34	a	a	DET
ispiv-189	33	35	1d	1d	NUM
ispiv-189	33	36	,	,	PUNCT
ispiv-189	33	37	2d	2d	NOUN
ispiv-189	33	38	,	,	PUNCT
ispiv-189	33	39	or	or	CCONJ
ispiv-189	33	40	3d	3d	NUM
ispiv-189	33	41	problem	problem	NOUN
ispiv-189	33	42	,	,	PUNCT
ispiv-189	33	43	respectively	respectively	ADV
ispiv-189	33	44	.	.	PUNCT
ispiv-189	34	1	to	to	PART
ispiv-189	34	2	quantitatively	quantitatively	ADV
ispiv-189	34	3	assess	assess	VERB
ispiv-189	34	4	error	error	NOUN
ispiv-189	34	5	propagation	propagation	NOUN
ispiv-189	34	6	from	from	ADP
ispiv-189	34	7	the	the	DET
ispiv-189	34	8	data	data	NOUN
ispiv-189	34	9	field	field	NOUN
ispiv-189	34	10	to	to	ADP
ispiv-189	34	11	the	the	DET
ispiv-189	34	12	pressure	pressure	NOUN
ispiv-189	34	13	field	field	NOUN
ispiv-189	34	14	,	,	PUNCT
ispiv-189	34	15	the	the	DET
ispiv-189	34	16	ratio	ratio	NOUN
ispiv-189	34	17	between	between	ADP
ispiv-189	34	18	the	the	DET
ispiv-189	34	19	error	error	NOUN
ispiv-189	34	20	levels	level	NOUN
ispiv-189	34	21	pressure	pressure	NOUN
ispiv-189	34	22	field	field	NOUN
ispiv-189	34	23	(	(	PUNCT
ispiv-189	34	24	can	can	AUX
ispiv-189	34	25	be	be	AUX
ispiv-189	34	26	considered	consider	VERB
ispiv-189	34	27	as	as	ADP
ispiv-189	34	28	an	an	DET
ispiv-189	34	29	output	output	NOUN
ispiv-189	34	30	)	)	PUNCT
ispiv-189	34	31	and	and	CCONJ
ispiv-189	34	32	data	datum	NOUN
ispiv-189	34	33	field	field	NOUN
ispiv-189	34	34	(	(	PUNCT
ispiv-189	34	35	considered	consider	VERB
ispiv-189	34	36	as	as	ADP
ispiv-189	34	37	an	an	DET
ispiv-189	34	38	input	input	NOUN
ispiv-189	34	39	)	)	PUNCT
ispiv-189	34	40	can	can	AUX
ispiv-189	34	41	be	be	AUX
ispiv-189	34	42	used	use	VERB
ispiv-189	34	43	.	.	PUNCT
ispiv-189	35	1	thus	thus	ADV
ispiv-189	35	2	,	,	PUNCT
ispiv-189	35	3	to	to	PART
ispiv-189	35	4	find	find	VERB
ispiv-189	35	5	the	the	DET
ispiv-189	35	6	worst	bad	ADJ
ispiv-189	35	7	case	case	NOUN
ispiv-189	35	8	error	error	NOUN
ispiv-189	35	9	for	for	ADP
ispiv-189	35	10	a	a	DET
ispiv-189	35	11	given	give	VERB
ispiv-189	35	12	domain	domain	NOUN
ispiv-189	35	13	,	,	PUNCT
ispiv-189	35	14	we	we	PRON
ispiv-189	35	15	seek	seek	VERB
ispiv-189	35	16	the	the	DET
ispiv-189	35	17	function	function	NOUN
ispiv-189	35	18	ε	ε	PROPN
ispiv-189	35	19	f	f	PROPN
ispiv-189	35	20	to	to	PART
ispiv-189	35	21	satisfy	satisfy	VERB
ispiv-189	35	22	:	:	PUNCT
ispiv-189	35	23	ar∗	ar∗	PROPN
ispiv-189	36	1	=	=	SYM
ispiv-189	36	2	max	max	PROPN
ispiv-189	36	3	ε	ε	PROPN
ispiv-189	36	4	f	f	PROPN
ispiv-189	36	5	ar	ar	PROPN
ispiv-189	36	6	=	=	PROPN
ispiv-189	36	7	max	max	PROPN
ispiv-189	36	8	ε	ε	PROPN
ispiv-189	36	9	f	f	PROPN
ispiv-189	36	10	||εp||l2(ω	||εp||l2(ω	ADV
ispiv-189	36	11	)	)	PUNCT
ispiv-189	36	12	||ε	||ε	PROPN
ispiv-189	36	13	f	f	NOUN
ispiv-189	36	14	||l2(ω	||l2(ω	ADJ
ispiv-189	36	15	)	)	PUNCT
ispiv-189	36	16	,	,	PUNCT
ispiv-189	36	17	(	(	PUNCT
ispiv-189	36	18	3	3	X
ispiv-189	36	19	)	)	PUNCT
ispiv-189	36	20	subject	subject	NOUN
ispiv-189	36	21	to	to	ADP
ispiv-189	36	22	(	(	PUNCT
ispiv-189	36	23	1	1	NUM
ispiv-189	36	24	)	)	PUNCT
ispiv-189	36	25	with	with	ADP
ispiv-189	36	26	the	the	DET
ispiv-189	36	27	appropriate	appropriate	ADJ
ispiv-189	36	28	bcs	bc	NOUN
ispiv-189	36	29	on	on	ADP
ispiv-189	36	30	the	the	DET
ispiv-189	36	31	domain	domain	NOUN
ispiv-189	36	32	.	.	PUNCT
ispiv-189	37	1	ar	ar	PROPN
ispiv-189	37	2	is	be	AUX
ispiv-189	37	3	the	the	DET
ispiv-189	37	4	ratio	ratio	NOUN
ispiv-189	37	5	of	of	ADP
ispiv-189	37	6	the	the	DET
ispiv-189	37	7	error	error	NOUN
ispiv-189	37	8	level	level	NOUN
ispiv-189	37	9	in	in	ADP
ispiv-189	37	10	the	the	DET
ispiv-189	37	11	calculated	calculate	VERB
ispiv-189	37	12	pressure	pressure	NOUN
ispiv-189	37	13	field	field	NOUN
ispiv-189	37	14	to	to	ADP
ispiv-189	37	15	the	the	DET
ispiv-189	37	16	error	error	NOUN
ispiv-189	37	17	level	level	NOUN
ispiv-189	37	18	in	in	ADP
ispiv-189	37	19	the	the	DET
ispiv-189	37	20	data	datum	NOUN
ispiv-189	37	21	(	(	PUNCT
ispiv-189	37	22	i.e.	i.e.	X
ispiv-189	37	23	ar	ar	NOUN
ispiv-189	37	24	=	=	PUNCT
ispiv-189	37	25	||εp||l2(ω	||εp||l2(ω	NOUN
ispiv-189	37	26	)	)	PUNCT
ispiv-189	37	27	||ε	||ε	PROPN
ispiv-189	37	28	f	f	NOUN
ispiv-189	37	29	||l2(ω	||l2(ω	ADJ
ispiv-189	37	30	)	)	PUNCT
ispiv-189	37	31	)	)	PUNCT
ispiv-189	37	32	.	.	PUNCT
ispiv-189	38	1	we	we	PRON
ispiv-189	38	2	will	will	AUX
ispiv-189	38	3	refer	refer	VERB
ispiv-189	38	4	to	to	ADP
ispiv-189	38	5	ar	ar	PROPN
ispiv-189	38	6	as	as	ADP
ispiv-189	38	7	the	the	DET
ispiv-189	38	8	error	error	NOUN
ispiv-189	38	9	amplification	amplification	NOUN
ispiv-189	38	10	ratio	ratio	NOUN
ispiv-189	38	11	,	,	PUNCT
ispiv-189	38	12	and	and	CCONJ
ispiv-189	38	13	refer	refer	VERB
ispiv-189	38	14	to	to	ADP
ispiv-189	38	15	the	the	DET
ispiv-189	38	16	ε	ε	PROPN
ispiv-189	38	17	f	f	PROPN
ispiv-189	38	18	function	function	NOUN
ispiv-189	38	19	which	which	PRON
ispiv-189	38	20	satisfies	satisfy	VERB
ispiv-189	38	21	(	(	PUNCT
ispiv-189	38	22	3	3	NUM
ispiv-189	38	23	)	)	PUNCT
ispiv-189	38	24	as	as	ADP
ispiv-189	38	25	the	the	DET
ispiv-189	38	26	worst	bad	ADJ
ispiv-189	38	27	error	error	NOUN
ispiv-189	38	28	,	,	PUNCT
ispiv-189	38	29	denoted	denote	VERB
ispiv-189	38	30	ε∗f	ε∗f	NOUN
ispiv-189	38	31	.	.	PUNCT
ispiv-189	39	1	the	the	DET
ispiv-189	39	2	worst	bad	ADJ
ispiv-189	39	3	error	error	NOUN
ispiv-189	39	4	ε∗f	ε∗f	PUNCT
ispiv-189	39	5	can	can	AUX
ispiv-189	39	6	be	be	AUX
ispiv-189	39	7	thought	think	VERB
ispiv-189	39	8	of	of	ADP
ispiv-189	39	9	as	as	ADP
ispiv-189	39	10	the	the	DET
ispiv-189	39	11	most	most	ADV
ispiv-189	39	12	dangerous	dangerous	ADJ
ispiv-189	39	13	error	error	NOUN
ispiv-189	39	14	in	in	ADP
ispiv-189	39	15	the	the	DET
ispiv-189	39	16	data	datum	NOUN
ispiv-189	39	17	field	field	NOUN
ispiv-189	39	18	that	that	PRON
ispiv-189	39	19	corrupts	corrupt	VERB
ispiv-189	39	20	the	the	DET
ispiv-189	39	21	pressure	pressure	NOUN
ispiv-189	39	22	field	field	NOUN
ispiv-189	39	23	reconstruction	reconstruction	NOUN
ispiv-189	39	24	most	most	ADJ
ispiv-189	39	25	.	.	PUNCT
ispiv-189	40	1	we	we	PRON
ispiv-189	40	2	will	will	AUX
ispiv-189	40	3	only	only	ADV
ispiv-189	40	4	be	be	AUX
ispiv-189	40	5	considering	consider	VERB
ispiv-189	40	6	cases	case	NOUN
ispiv-189	40	7	where	where	SCONJ
ispiv-189	40	8	ε	ε	PROPN
ispiv-189	40	9	f	f	PROPN
ispiv-189	40	10	is	be	AUX
ispiv-189	40	11	non	non	ADJ
ispiv-189	40	12	-	-	ADJ
ispiv-189	40	13	zero	zero	NUM
ispiv-189	40	14	in	in	ADP
ispiv-189	40	15	order	order	NOUN
ispiv-189	40	16	to	to	PART
ispiv-189	40	17	avoid	avoid	VERB
ispiv-189	40	18	division	division	NOUN
ispiv-189	40	19	by	by	ADP
ispiv-189	40	20	zero	zero	NUM
ispiv-189	40	21	,	,	PUNCT
ispiv-189	40	22	and	and	CCONJ
ispiv-189	40	23	to	to	PART
ispiv-189	40	24	reflect	reflect	VERB
ispiv-189	40	25	the	the	DET
ispiv-189	40	26	reality	reality	NOUN
ispiv-189	40	27	that	that	SCONJ
ispiv-189	40	28	all	all	DET
ispiv-189	40	29	experimental	experimental	ADJ
ispiv-189	40	30	data	datum	NOUN
ispiv-189	40	31	will	will	AUX
ispiv-189	40	32	have	have	VERB
ispiv-189	40	33	some	some	DET
ispiv-189	40	34	error	error	NOUN
ispiv-189	40	35	.	.	PUNCT
ispiv-189	41	1	as	as	ADP
ispiv-189	41	2	an	an	DET
ispiv-189	41	3	example	example	NOUN
ispiv-189	41	4	,	,	PUNCT
ispiv-189	41	5	we	we	PRON
ispiv-189	41	6	will	will	AUX
ispiv-189	41	7	consider	consider	VERB
ispiv-189	41	8	the	the	DET
ispiv-189	41	9	optimization	optimization	NOUN
ispiv-189	41	10	problem	problem	NOUN
ispiv-189	41	11	shown	show	VERB
ispiv-189	41	12	in	in	ADP
ispiv-189	41	13	(	(	PUNCT
ispiv-189	41	14	3	3	NUM
ispiv-189	41	15	)	)	PUNCT
ispiv-189	41	16	with	with	ADP
ispiv-189	41	17	pure	pure	ADJ
ispiv-189	41	18	dirichlet	dirichlet	PROPN
ispiv-189	41	19	boundary	boundary	ADJ
ispiv-189	41	20	conditions	condition	NOUN
ispiv-189	41	21	(	(	PUNCT
ispiv-189	41	22	note	note	VERB
ispiv-189	41	23	that	that	SCONJ
ispiv-189	41	24	neumann	neumann	PROPN
ispiv-189	41	25	or	or	CCONJ
ispiv-189	41	26	mixed	mixed	ADJ
ispiv-189	41	27	boundaries	boundary	NOUN
ispiv-189	41	28	can	can	AUX
ispiv-189	41	29	be	be	AUX
ispiv-189	41	30	treated	treat	VERB
ispiv-189	41	31	similarly	similarly	ADV
ispiv-189	41	32	)	)	PUNCT
ispiv-189	41	33	.	.	PUNCT
ispiv-189	42	1	applying	apply	VERB
ispiv-189	42	2	the	the	DET
ispiv-189	42	3	calculus	calculus	NOUN
ispiv-189	42	4	of	of	ADP
ispiv-189	42	5	variations	variation	NOUN
ispiv-189	42	6	(	(	PUNCT
ispiv-189	42	7	gelfand	gelfand	ADJ
ispiv-189	42	8	and	and	CCONJ
ispiv-189	42	9	fomin	fomin	NOUN
ispiv-189	42	10	,	,	PUNCT
ispiv-189	42	11	1991	1991	NUM
ispiv-189	42	12	)	)	PUNCT
ispiv-189	42	13	,	,	PUNCT
ispiv-189	42	14	we	we	PRON
ispiv-189	42	15	can	can	AUX
ispiv-189	42	16	find	find	VERB
ispiv-189	42	17	that	that	SCONJ
ispiv-189	42	18	the	the	DET
ispiv-189	42	19	calculated	calculated	ADJ
ispiv-189	42	20	pressure	pressure	NOUN
ispiv-189	42	21	field	field	NOUN
ispiv-189	42	22	will	will	AUX
ispiv-189	42	23	satisfy	satisfy	VERB
ispiv-189	42	24	the	the	DET
ispiv-189	42	25	eulerlagrange	eulerlagrange	NOUN
ispiv-189	42	26	equations	equation	NOUN
ispiv-189	42	27	:	:	PUNCT
ispiv-189	42	28	∇	∇	PROPN
ispiv-189	43	1	4	4	NUM
ispiv-189	43	2	εp	εp	NOUN
ispiv-189	43	3	=	=	NOUN
ispiv-189	43	4	−	−	PROPN
ispiv-189	43	5	1	1	NUM
ispiv-189	43	6	λ	λ	SYM
ispiv-189	43	7	εp	εp	PROPN
ispiv-189	43	8	,	,	PUNCT
ispiv-189	43	9	(	(	PUNCT
ispiv-189	43	10	4	4	NUM
ispiv-189	43	11	)	)	PUNCT
ispiv-189	43	12	with	with	ADP
ispiv-189	43	13	εp	εp	ADP
ispiv-189	43	14	=	=	NOUN
ispiv-189	43	15	0	0	NUM
ispiv-189	43	16	and	and	CCONJ
ispiv-189	43	17	∇2εp	∇2εp	PROPN
ispiv-189	43	18	=	=	SYM
ispiv-189	43	19	0	0	NUM
ispiv-189	43	20	on	on	ADP
ispiv-189	43	21	∂ω	∂ω	ADJ
ispiv-189	43	22	,	,	PUNCT
ispiv-189	43	23	subject	subject	ADJ
ispiv-189	43	24	to	to	ADP
ispiv-189	43	25	|ω|‖∇2εp‖2	|ω|‖∇2εp‖2	PROPN
ispiv-189	43	26	l2(ω	l2(ω	NOUN
ispiv-189	43	27	)	)	PUNCT
ispiv-189	43	28	=	=	SYM
ispiv-189	43	29	1	1	NUM
ispiv-189	43	30	,	,	PUNCT
ispiv-189	43	31	when	when	SCONJ
ispiv-189	43	32	accurate	accurate	ADJ
ispiv-189	43	33	dirichlet	dirichlet	PROPN
ispiv-189	43	34	boundary	boundary	ADJ
ispiv-189	43	35	conditions	condition	NOUN
ispiv-189	43	36	are	be	AUX
ispiv-189	43	37	applied	apply	VERB
ispiv-189	43	38	.	.	PUNCT
ispiv-189	44	1	equation	equation	NOUN
ispiv-189	44	2	(	(	PUNCT
ispiv-189	44	3	4	4	X
ispiv-189	44	4	)	)	PUNCT
ispiv-189	44	5	also	also	ADV
ispiv-189	44	6	appears	appear	VERB
ispiv-189	44	7	as	as	ADP
ispiv-189	44	8	the	the	DET
ispiv-189	44	9	characteristic	characteristic	ADJ
ispiv-189	44	10	equation	equation	NOUN
ispiv-189	44	11	of	of	ADP
ispiv-189	44	12	vibrations	vibration	NOUN
ispiv-189	44	13	of	of	ADP
ispiv-189	44	14	elastic	elastic	ADJ
ispiv-189	44	15	bodies	body	NOUN
ispiv-189	44	16	(	(	PUNCT
ispiv-189	44	17	timoshenko	timoshenko	NOUN
ispiv-189	44	18	et	et	NOUN
ispiv-189	44	19	al	al	PROPN
ispiv-189	44	20	.	.	PROPN
ispiv-189	44	21	,	,	PUNCT
ispiv-189	44	22	1937	1937	NUM
ispiv-189	44	23	)	)	PUNCT
ispiv-189	44	24	,	,	PUNCT
ispiv-189	44	25	which	which	PRON
ispiv-189	44	26	will	will	AUX
ispiv-189	44	27	be	be	AUX
ispiv-189	44	28	discussed	discuss	VERB
ispiv-189	44	29	further	far	ADV
ispiv-189	44	30	in	in	ADP
ispiv-189	44	31	§	§	PROPN
ispiv-189	44	32	3	3	NUM
ispiv-189	44	33	.	.	PUNCT
ispiv-189	44	34	as	as	ADV
ispiv-189	44	35	long	long	ADV
ispiv-189	44	36	as	as	SCONJ
ispiv-189	44	37	the	the	DET
ispiv-189	44	38	operator	operator	NOUN
ispiv-189	44	39	remains	remain	VERB
ispiv-189	44	40	self	self	NOUN
ispiv-189	44	41	-	-	PUNCT
ispiv-189	44	42	adjoint	adjoint	NOUN
ispiv-189	44	43	,	,	PUNCT
ispiv-189	44	44	as	as	SCONJ
ispiv-189	44	45	is	be	AUX
ispiv-189	44	46	the	the	DET
ispiv-189	44	47	case	case	NOUN
ispiv-189	44	48	for	for	ADP
ispiv-189	44	49	the	the	DET
ispiv-189	44	50	example	example	NOUN
ispiv-189	44	51	shown	show	VERB
ispiv-189	44	52	,	,	PUNCT
ispiv-189	44	53	then	then	ADV
ispiv-189	44	54	there	there	PRON
ispiv-189	44	55	will	will	AUX
ispiv-189	44	56	be	be	AUX
ispiv-189	44	57	a	a	DET
ispiv-189	44	58	countable	countable	ADJ
ispiv-189	44	59	number	number	NOUN
ispiv-189	44	60	of	of	ADP
ispiv-189	44	61	solutions	solution	NOUN
ispiv-189	44	62	to	to	ADP
ispiv-189	44	63	the	the	DET
ispiv-189	44	64	system	system	NOUN
ispiv-189	44	65	,	,	PUNCT
ispiv-189	44	66	each	each	DET
ispiv-189	44	67	solution	solution	NOUN
ispiv-189	44	68	corresponding	correspond	VERB
ispiv-189	44	69	to	to	ADP
ispiv-189	44	70	a	a	DET
ispiv-189	44	71	natural	natural	ADJ
ispiv-189	44	72	frequency	frequency	NOUN
ispiv-189	44	73	βn	βn	NOUN
ispiv-189	45	1	=	=	SYM
ispiv-189	45	2	4	4	NUM
ispiv-189	45	3	√	√	NUM
ispiv-189	45	4	−λ−1	−λ−1	NUM
ispiv-189	45	5	n	n	INTJ
ispiv-189	45	6	,	,	PUNCT
ispiv-189	45	7	where	where	SCONJ
ispiv-189	45	8	λn	λn	X
ispiv-189	45	9	>	>	X
ispiv-189	45	10	0,n	0,n	ADJ
ispiv-189	45	11	=	=	SYM
ispiv-189	46	1	1,2,3	1,2,3	NUM
ispiv-189	46	2	...	...	PUNCT
ispiv-189	46	3	are	be	AUX
ispiv-189	46	4	the	the	DET
ispiv-189	46	5	eigenvalues	eigenvalue	NOUN
ispiv-189	46	6	.	.	PUNCT
ispiv-189	47	1	to	to	PART
ispiv-189	47	2	obtain	obtain	VERB
ispiv-189	47	3	ε∗f	ε∗f	NOUN
ispiv-189	47	4	,	,	PUNCT
ispiv-189	47	5	the	the	DET
ispiv-189	47	6	smallest	small	ADJ
ispiv-189	47	7	of	of	ADP
ispiv-189	47	8	these	these	PRON
ispiv-189	47	9	eigenvalues	eigenvalue	VERB
ispiv-189	47	10	−λ	−λ	PROPN
ispiv-189	47	11	−1	−1	NOUN
ispiv-189	47	12	1	1	NUM
ispiv-189	47	13	is	be	AUX
ispiv-189	47	14	used	use	VERB
ispiv-189	47	15	.	.	PUNCT
ispiv-189	48	1	the	the	DET
ispiv-189	48	2	corresponding	correspond	VERB
ispiv-189	48	3	eigenfunction	eigenfunction	NOUN
ispiv-189	48	4	will	will	AUX
ispiv-189	48	5	be	be	AUX
ispiv-189	48	6	the	the	DET
ispiv-189	48	7	worst	bad	ADJ
ispiv-189	48	8	error	error	NOUN
ispiv-189	48	9	function	function	NOUN
ispiv-189	48	10	which	which	PRON
ispiv-189	48	11	yields	yield	VERB
ispiv-189	48	12	the	the	DET
ispiv-189	48	13	highest	high	ADJ
ispiv-189	48	14	possible	possible	ADJ
ispiv-189	48	15	error	error	NOUN
ispiv-189	48	16	amplification	amplification	NOUN
ispiv-189	48	17	ratio	ratio	NOUN
ispiv-189	48	18	.	.	PUNCT
ispiv-189	49	1	fundamental	fundamental	ADJ
ispiv-189	49	2	configurations	configuration	NOUN
ispiv-189	49	3	of	of	ADP
ispiv-189	49	4	the	the	DET
ispiv-189	49	5	flow	flow	NOUN
ispiv-189	49	6	domain	domain	NOUN
ispiv-189	49	7	,	,	PUNCT
ispiv-189	49	8	such	such	ADJ
ispiv-189	49	9	as	as	ADP
ispiv-189	49	10	the	the	DET
ispiv-189	49	11	size	size	NOUN
ispiv-189	49	12	and	and	CCONJ
ispiv-189	49	13	shape	shape	NOUN
ispiv-189	49	14	of	of	ADP
ispiv-189	49	15	the	the	DET
ispiv-189	49	16	domain	domain	NOUN
ispiv-189	49	17	,	,	PUNCT
ispiv-189	49	18	the	the	DET
ispiv-189	49	19	dimension	dimension	NOUN
ispiv-189	49	20	of	of	ADP
ispiv-189	49	21	the	the	DET
ispiv-189	49	22	domain	domain	NOUN
ispiv-189	49	23	,	,	PUNCT
ispiv-189	49	24	and	and	CCONJ
ispiv-189	49	25	the	the	DET
ispiv-189	49	26	type	type	NOUN
ispiv-189	49	27	and	and	CCONJ
ispiv-189	49	28	configuration	configuration	NOUN
ispiv-189	49	29	of	of	ADP
ispiv-189	49	30	boundary	boundary	ADJ
ispiv-189	49	31	conditions	condition	NOUN
ispiv-189	49	32	will	will	AUX
ispiv-189	49	33	affect	affect	VERB
ispiv-189	49	34	the	the	DET
ispiv-189	49	35	eigenvalue	eigenvalue	PROPN
ispiv-189	49	36	(	(	PUNCT
ispiv-189	49	37	see	see	AUX
ispiv-189	49	38	also	also	ADV
ispiv-189	49	39	pan	pan	VERB
ispiv-189	49	40	et	et	PROPN
ispiv-189	49	41	al	al	PROPN
ispiv-189	49	42	.	.	PUNCT
ispiv-189	50	1	(	(	PUNCT
ispiv-189	50	2	2016	2016	NUM
ispiv-189	50	3	)	)	PUNCT
ispiv-189	50	4	)	)	PUNCT
ispiv-189	50	5	,	,	PUNCT
ispiv-189	50	6	and	and	CCONJ
ispiv-189	50	7	consequently	consequently	ADV
ispiv-189	50	8	the	the	DET
ispiv-189	50	9	error	error	NOUN
ispiv-189	50	10	propagation	propagation	NOUN
ispiv-189	50	11	.	.	PUNCT
ispiv-189	51	1	table	table	NOUN
ispiv-189	51	2	1	1	NUM
ispiv-189	51	3	:	:	PUNCT
ispiv-189	51	4	type	type	NOUN
ispiv-189	51	5	of	of	ADP
ispiv-189	51	6	boundary	boundary	ADJ
ispiv-189	51	7	conditions	condition	NOUN
ispiv-189	51	8	(	(	PUNCT
ispiv-189	51	9	bcs	bcs	NOUN
ispiv-189	51	10	)	)	PUNCT
ispiv-189	51	11	of	of	ADP
ispiv-189	51	12	the	the	DET
ispiv-189	51	13	original	original	ADJ
ispiv-189	51	14	pressure	pressure	NOUN
ispiv-189	51	15	poisson	poisson	NOUN
ispiv-189	51	16	equation	equation	NOUN
ispiv-189	51	17	,	,	PUNCT
ispiv-189	51	18	the	the	DET
ispiv-189	51	19	corresponding	corresponding	ADJ
ispiv-189	51	20	bcs	bc	NOUN
ispiv-189	51	21	of	of	ADP
ispiv-189	51	22	the	the	DET
ispiv-189	51	23	eigenvalue	eigenvalue	PROPN
ispiv-189	51	24	problem	problem	NOUN
ispiv-189	51	25	of	of	ADP
ispiv-189	51	26	the	the	DET
ispiv-189	51	27	worst	bad	ADJ
ispiv-189	51	28	error	error	NOUN
ispiv-189	51	29	and	and	CCONJ
ispiv-189	51	30	the	the	DET
ispiv-189	51	31	induced	induce	VERB
ispiv-189	51	32	natural	natural	ADJ
ispiv-189	51	33	boundaries	boundary	NOUN
ispiv-189	51	34	.	.	PUNCT
ispiv-189	52	1	g	g	NOUN
ispiv-189	52	2	,	,	PUNCT
ispiv-189	52	3	g	g	PROPN
ispiv-189	52	4	,	,	PUNCT
ispiv-189	52	5	h	h	NOUN
ispiv-189	52	6	,	,	PUNCT
ispiv-189	52	7	and	and	CCONJ
ispiv-189	52	8	h	h	NOUN
ispiv-189	52	9	are	be	AUX
ispiv-189	52	10	functions	function	NOUN
ispiv-189	52	11	on	on	ADP
ispiv-189	52	12	the	the	DET
ispiv-189	52	13	boundary	boundary	ADJ
ispiv-189	52	14	∂ω	∂ω	PROPN
ispiv-189	52	15	,	,	PUNCT
ispiv-189	52	16	and	and	CCONJ
ispiv-189	52	17	n̂	n̂	NUM
ispiv-189	52	18	is	be	AUX
ispiv-189	52	19	the	the	DET
ispiv-189	52	20	unit	unit	NOUN
ispiv-189	52	21	outward	outward	ADP
ispiv-189	52	22	pointing	point	VERB
ispiv-189	52	23	normal	normal	ADJ
ispiv-189	52	24	on	on	ADP
ispiv-189	52	25	∂ω	∂ω	PROPN
ispiv-189	52	26	.	.	PUNCT
ispiv-189	53	1	type	type	NOUN
ispiv-189	53	2	of	of	ADP
ispiv-189	53	3	bcs	bcs	NOUN
ispiv-189	53	4	bcs	bcs	NOUN
ispiv-189	53	5	of	of	ADP
ispiv-189	53	6	pressure	pressure	NOUN
ispiv-189	53	7	poisson	poisson	NOUN
ispiv-189	53	8	equation	equation	NOUN
ispiv-189	53	9	essential	essential	ADJ
ispiv-189	53	10	bcs	bc	NOUN
ispiv-189	53	11	of	of	ADP
ispiv-189	53	12	eigenvalue	eigenvalue	PROPN
ispiv-189	53	13	problem	problem	NOUN
ispiv-189	53	14	natural	natural	ADJ
ispiv-189	53	15	bcs	bc	NOUN
ispiv-189	53	16	of	of	ADP
ispiv-189	53	17	eigenvalue	eigenvalue	PROPN
ispiv-189	53	18	problem	problem	NOUN
ispiv-189	53	19	dirichlet	dirichlet	NOUN
ispiv-189	53	20	p	p	PROPN
ispiv-189	53	21	=	=	PROPN
ispiv-189	53	22	g	g	PROPN
ispiv-189	53	23	εp	εp	ADP
ispiv-189	53	24	=	=	NOUN
ispiv-189	53	25	g	g	PROPN
ispiv-189	53	26	∇2εp	∇2εp	PROPN
ispiv-189	53	27	=	=	SYM
ispiv-189	53	28	0	0	NUM
ispiv-189	54	1	neumann	neumann	PROPN
ispiv-189	54	2	∇p	∇p	PROPN
ispiv-189	54	3	·	·	PUNCT
ispiv-189	54	4	n̂	n̂	NUM
ispiv-189	54	5	=	=	PUNCT
ispiv-189	54	6	h	h	NOUN
ispiv-189	54	7	∇εp	∇εp	NOUN
ispiv-189	54	8	·	·	PUNCT
ispiv-189	54	9	n̂	n̂	NUM
ispiv-189	54	10	=	=	SYM
ispiv-189	54	11	h	h	NOUN
ispiv-189	54	12	∇	∇	X
ispiv-189	54	13	(	(	PUNCT
ispiv-189	54	14	∇2εp	∇2εp	PROPN
ispiv-189	54	15	)	)	PUNCT
ispiv-189	54	16	·	·	PUNCT
ispiv-189	54	17	n̂	n̂	NUM
ispiv-189	54	18	=	=	SYM
ispiv-189	54	19	0	0	NOUN
ispiv-189	55	1	the	the	DET
ispiv-189	55	2	fourth	fourth	ADJ
ispiv-189	55	3	order	order	NOUN
ispiv-189	55	4	eigenvalue	eigenvalue	NOUN
ispiv-189	55	5	problem	problem	NOUN
ispiv-189	55	6	resulting	result	VERB
ispiv-189	55	7	from	from	ADP
ispiv-189	55	8	the	the	DET
ispiv-189	55	9	fourth	fourth	ADJ
ispiv-189	55	10	order	order	NOUN
ispiv-189	55	11	variational	variational	ADJ
ispiv-189	55	12	problem	problem	NOUN
ispiv-189	55	13	can	can	AUX
ispiv-189	55	14	be	be	AUX
ispiv-189	55	15	complex	complex	ADJ
ispiv-189	55	16	and	and	CCONJ
ispiv-189	55	17	require	require	VERB
ispiv-189	55	18	long	long	ADJ
ispiv-189	55	19	calculations	calculation	NOUN
ispiv-189	55	20	even	even	ADV
ispiv-189	55	21	for	for	ADP
ispiv-189	55	22	simple	simple	ADJ
ispiv-189	55	23	1d	1d	NUM
ispiv-189	55	24	cases	case	NOUN
ispiv-189	55	25	.	.	PUNCT
ispiv-189	56	1	while	while	SCONJ
ispiv-189	56	2	this	this	DET
ispiv-189	56	3	calculation	calculation	NOUN
ispiv-189	56	4	may	may	AUX
ispiv-189	56	5	be	be	AUX
ispiv-189	56	6	unfamiliar	unfamiliar	ADJ
ispiv-189	56	7	to	to	ADP
ispiv-189	56	8	fluid	fluid	ADJ
ispiv-189	56	9	mechanics	mechanic	NOUN
ispiv-189	56	10	researchers	researcher	NOUN
ispiv-189	56	11	,	,	PUNCT
ispiv-189	56	12	it	it	PRON
ispiv-189	56	13	has	have	AUX
ispiv-189	56	14	been	be	AUX
ispiv-189	56	15	studied	study	VERB
ispiv-189	56	16	extensively	extensively	ADV
ispiv-189	56	17	in	in	ADP
ispiv-189	56	18	solid	solid	ADJ
ispiv-189	56	19	mechanics	mechanic	NOUN
ispiv-189	56	20	(	(	PUNCT
ispiv-189	56	21	e.g.	e.g.	ADV
ispiv-189	56	22	,	,	PUNCT
ispiv-189	56	23	timoshenko	timoshenko	NOUN
ispiv-189	56	24	et	et	NOUN
ispiv-189	56	25	al	al	PROPN
ispiv-189	56	26	.	.	PROPN
ispiv-189	57	1	(	(	PUNCT
ispiv-189	57	2	1937	1937	NUM
ispiv-189	57	3	)	)	PUNCT
ispiv-189	57	4	)	)	PUNCT
ispiv-189	57	5	,	,	PUNCT
ispiv-189	57	6	taking	take	VERB
ispiv-189	57	7	the	the	DET
ispiv-189	57	8	form	form	NOUN
ispiv-189	57	9	of	of	ADP
ispiv-189	57	10	the	the	DET
ispiv-189	57	11	euler	euler	PROPN
ispiv-189	57	12	-	-	PUNCT
ispiv-189	57	13	bernoulli	bernoulli	PROPN
ispiv-189	57	14	beam	beam	NOUN
ispiv-189	57	15	problem	problem	NOUN
ispiv-189	57	16	in	in	ADP
ispiv-189	57	17	1d	1d	NUM
ispiv-189	57	18	,	,	PUNCT
ispiv-189	57	19	and	and	CCONJ
ispiv-189	57	20	kirchoff	kirchoff	NOUN
ispiv-189	57	21	-	-	PUNCT
ispiv-189	57	22	love	love	NOUN
ispiv-189	57	23	plate	plate	NOUN
ispiv-189	57	24	problem	problem	NOUN
ispiv-189	57	25	in	in	ADP
ispiv-189	57	26	2d	2d	NOUN
ispiv-189	57	27	.	.	PUNCT
ispiv-189	58	1	tables	table	NOUN
ispiv-189	58	2	of	of	ADP
ispiv-189	58	3	solutions	solution	NOUN
ispiv-189	58	4	for	for	ADP
ispiv-189	58	5	standard	standard	ADJ
ispiv-189	58	6	boundary	boundary	ADJ
ispiv-189	58	7	conditions	condition	NOUN
ispiv-189	58	8	and	and	CCONJ
ispiv-189	58	9	simple	simple	ADJ
ispiv-189	58	10	domains	domain	NOUN
ispiv-189	58	11	can	can	AUX
ispiv-189	58	12	be	be	AUX
ispiv-189	58	13	found	find	VERB
ispiv-189	58	14	in	in	ADP
ispiv-189	58	15	several	several	ADJ
ispiv-189	58	16	solid	solid	ADJ
ispiv-189	58	17	mechanics	mechanic	NOUN
ispiv-189	58	18	textbooks	textbook	NOUN
ispiv-189	58	19	(	(	PUNCT
ispiv-189	58	20	e.g.	e.g.	ADV
ispiv-189	58	21	harris	harris	PROPN
ispiv-189	58	22	and	and	CCONJ
ispiv-189	58	23	piersol	piersol	PROPN
ispiv-189	58	24	(	(	PUNCT
ispiv-189	58	25	2002	2002	NUM
ispiv-189	58	26	)	)	PUNCT
ispiv-189	58	27	)	)	PUNCT
ispiv-189	58	28	,	,	PUNCT
ispiv-189	58	29	and	and	CCONJ
ispiv-189	58	30	would	would	AUX
ispiv-189	58	31	be	be	AUX
ispiv-189	58	32	easy	easy	ADJ
ispiv-189	58	33	to	to	PART
ispiv-189	58	34	look	look	VERB
ispiv-189	58	35	up	up	ADP
ispiv-189	58	36	for	for	ADP
ispiv-189	58	37	researchers	researcher	NOUN
ispiv-189	58	38	using	use	VERB
ispiv-189	58	39	table	table	NOUN
ispiv-189	58	40	1	1	NUM
ispiv-189	58	41	.	.	PUNCT
ispiv-189	59	1	in	in	ADP
ispiv-189	59	2	a	a	DET
ispiv-189	59	3	1d	1d	NUM
ispiv-189	59	4	system	system	NOUN
ispiv-189	59	5	with	with	ADP
ispiv-189	59	6	two	two	NUM
ispiv-189	59	7	dirichlet	dirichlet	PROPN
ispiv-189	59	8	bcs	bc	NOUN
ispiv-189	59	9	,	,	PUNCT
ispiv-189	59	10	for	for	ADP
ispiv-189	59	11	example	example	NOUN
ispiv-189	59	12	,	,	PUNCT
ispiv-189	59	13	the	the	DET
ispiv-189	59	14	solution	solution	NOUN
ispiv-189	59	15	to	to	ADP
ispiv-189	59	16	the	the	DET
ispiv-189	59	17	eigenvalue	eigenvalue	PROPN
ispiv-189	59	18	problem	problem	NOUN
ispiv-189	59	19	(	(	PUNCT
ispiv-189	59	20	4	4	X
ispiv-189	59	21	)	)	PUNCT
ispiv-189	59	22	is	be	AUX
ispiv-189	59	23	as	as	SCONJ
ispiv-189	59	24	follows	follow	VERB
ispiv-189	59	25	(	(	PUNCT
ispiv-189	59	26	see	see	VERB
ispiv-189	59	27	faiella	faiella	NOUN
ispiv-189	59	28	et	et	PROPN
ispiv-189	59	29	al	al	PROPN
ispiv-189	59	30	.	.	PROPN
ispiv-189	60	1	(	(	PUNCT
ispiv-189	60	2	2021	2021	NUM
ispiv-189	60	3	)	)	PUNCT
ispiv-189	60	4	for	for	ADP
ispiv-189	60	5	a	a	DET
ispiv-189	60	6	more	more	ADV
ispiv-189	60	7	detailed	detailed	ADJ
ispiv-189	60	8	derivation	derivation	NOUN
ispiv-189	60	9	):	):	PUNCT
ispiv-189	60	10	ε	ε	PROPN
ispiv-189	60	11	f	f	PROPN
ispiv-189	60	12	n	n	PROPN
ispiv-189	60	13	=	=	PROPN
ispiv-189	60	14	±	±	NUM
ispiv-189	60	15	√	√	NUM
ispiv-189	60	16	2sin	2sin	NUM
ispiv-189	60	17	(	(	PUNCT
ispiv-189	60	18	nπ	nπ	NOUN
ispiv-189	60	19	l	l	NOUN
ispiv-189	60	20	x	x	PROPN
ispiv-189	60	21	)	)	PUNCT
ispiv-189	60	22	,	,	PUNCT
ispiv-189	60	23	n	n	NOUN
ispiv-189	60	24	=	=	SYM
ispiv-189	60	25	1,2,3	1,2,3	NUM
ispiv-189	60	26	,	,	PUNCT
ispiv-189	60	27	.	.	PUNCT
ispiv-189	60	28	.	.	PUNCT
ispiv-189	60	29	.	.	PUNCT
ispiv-189	61	1	(	(	PUNCT
ispiv-189	61	2	5	5	X
ispiv-189	61	3	)	)	PUNCT
ispiv-189	61	4	which	which	PRON
ispiv-189	61	5	will	will	AUX
ispiv-189	61	6	yield	yield	VERB
ispiv-189	61	7	corresponding	correspond	VERB
ispiv-189	61	8	error	error	NOUN
ispiv-189	61	9	in	in	ADP
ispiv-189	61	10	the	the	DET
ispiv-189	61	11	calculated	calculated	ADJ
ispiv-189	61	12	pressure	pressure	NOUN
ispiv-189	61	13	field	field	NOUN
ispiv-189	61	14	:	:	PUNCT
ispiv-189	61	15	εpn	εpn	NOUN
ispiv-189	61	16	=	=	NOUN
ispiv-189	61	17	±	±	NUM
ispiv-189	61	18	√	√	NOUN
ispiv-189	61	19	2	2	NUM
ispiv-189	61	20	l2	l2	NOUN
ispiv-189	61	21	n2π2	n2π2	PUNCT
ispiv-189	61	22	sin	sin	NOUN
ispiv-189	61	23	(	(	PUNCT
ispiv-189	61	24	nπ	nπ	NOUN
ispiv-189	61	25	l	l	NOUN
ispiv-189	61	26	x	x	PROPN
ispiv-189	61	27	)	)	PUNCT
ispiv-189	61	28	,	,	PUNCT
ispiv-189	61	29	n	n	NOUN
ispiv-189	61	30	=	=	SYM
ispiv-189	61	31	1,2,3	1,2,3	NUM
ispiv-189	61	32	,	,	PUNCT
ispiv-189	61	33	.	.	PUNCT
ispiv-189	61	34	.	.	PUNCT
ispiv-189	61	35	.	.	PUNCT
ispiv-189	62	1	(	(	PUNCT
ispiv-189	62	2	6	6	X
ispiv-189	62	3	)	)	PUNCT
ispiv-189	62	4	substituting	substitute	VERB
ispiv-189	62	5	(	(	PUNCT
ispiv-189	62	6	5	5	NUM
ispiv-189	62	7	)	)	PUNCT
ispiv-189	62	8	and	and	CCONJ
ispiv-189	62	9	(	(	PUNCT
ispiv-189	62	10	6	6	NUM
ispiv-189	62	11	)	)	PUNCT
ispiv-189	62	12	into	into	ADP
ispiv-189	62	13	(	(	PUNCT
ispiv-189	62	14	3	3	NUM
ispiv-189	62	15	)	)	PUNCT
ispiv-189	62	16	,	,	PUNCT
ispiv-189	62	17	the	the	DET
ispiv-189	62	18	error	error	NOUN
ispiv-189	62	19	amplification	amplification	NOUN
ispiv-189	62	20	ratio	ratio	NOUN
ispiv-189	62	21	is	be	AUX
ispiv-189	62	22	ar	ar	NOUN
ispiv-189	62	23	=	=	PROPN
ispiv-189	62	24	β	β	NOUN
ispiv-189	62	25	−2	−2	NOUN
ispiv-189	62	26	n	n	CCONJ
ispiv-189	62	27	=	=	PUNCT
ispiv-189	62	28	l2	l2	NOUN
ispiv-189	62	29	π2n2	π2n2	NOUN
ispiv-189	62	30	,	,	PUNCT
ispiv-189	62	31	n	n	NOUN
ispiv-189	62	32	=	=	NOUN
ispiv-189	62	33	1,2,3	1,2,3	NUM
ispiv-189	62	34	,	,	PUNCT
ispiv-189	62	35	.	.	PUNCT
ispiv-189	62	36	.	.	PUNCT
ispiv-189	62	37	.	.	PUNCT
ispiv-189	63	1	(	(	PUNCT
ispiv-189	63	2	7	7	X
ispiv-189	63	3	)	)	PUNCT
ispiv-189	63	4	noting	note	VERB
ispiv-189	63	5	the	the	DET
ispiv-189	63	6	presence	presence	NOUN
ispiv-189	63	7	of	of	ADP
ispiv-189	63	8	the	the	DET
ispiv-189	63	9	n2	n2	ADJ
ispiv-189	63	10	term	term	NOUN
ispiv-189	63	11	in	in	ADP
ispiv-189	63	12	the	the	DET
ispiv-189	63	13	denominator	denominator	NOUN
ispiv-189	63	14	of	of	ADP
ispiv-189	63	15	(	(	PUNCT
ispiv-189	63	16	7	7	NUM
ispiv-189	63	17	)	)	PUNCT
ispiv-189	63	18	,	,	PUNCT
ispiv-189	63	19	the	the	DET
ispiv-189	63	20	worst	bad	ADJ
ispiv-189	63	21	error	error	NOUN
ispiv-189	63	22	occurs	occur	VERB
ispiv-189	63	23	for	for	ADP
ispiv-189	63	24	the	the	DET
ispiv-189	63	25	first	first	ADJ
ispiv-189	63	26	eigenvalue	eigenvalue	PROPN
ispiv-189	63	27	(	(	PUNCT
ispiv-189	63	28	n	n	NOUN
ispiv-189	63	29	=	=	SYM
ispiv-189	63	30	1	1	NUM
ispiv-189	63	31	and	and	CCONJ
ispiv-189	63	32	ar∗	ar∗	NOUN
ispiv-189	63	33	=	=	SYM
ispiv-189	63	34	l2	l2	NOUN
ispiv-189	63	35	/	/	SYM
ispiv-189	63	36	π2	π2	NUM
ispiv-189	63	37	)	)	PUNCT
ispiv-189	63	38	.	.	PUNCT
ispiv-189	64	1	thus	thus	ADV
ispiv-189	64	2	,	,	PUNCT
ispiv-189	64	3	the	the	DET
ispiv-189	64	4	error	error	NOUN
ispiv-189	64	5	amplification	amplification	NOUN
ispiv-189	64	6	ratio	ratio	NOUN
ispiv-189	64	7	is	be	AUX
ispiv-189	64	8	larger	large	ADJ
ispiv-189	64	9	for	for	ADP
ispiv-189	64	10	lower	low	ADJ
ispiv-189	64	11	values	value	NOUN
ispiv-189	64	12	of	of	ADP
ispiv-189	64	13	n	n	CCONJ
ispiv-189	64	14	,	,	PUNCT
ispiv-189	64	15	which	which	PRON
ispiv-189	64	16	corresponds	correspond	VERB
ispiv-189	64	17	to	to	ADP
ispiv-189	64	18	lower	low	ADJ
ispiv-189	64	19	fundamental	fundamental	ADJ
ispiv-189	64	20	frequencies	frequency	NOUN
ispiv-189	64	21	in	in	ADP
ispiv-189	64	22	the	the	DET
ispiv-189	64	23	data	data	NOUN
ispiv-189	64	24	error	error	NOUN
ispiv-189	64	25	,	,	PUNCT
ispiv-189	64	26	while	while	SCONJ
ispiv-189	64	27	ar→	ar→	ADV
ispiv-189	64	28	0	0	PUNCT
ispiv-189	64	29	as	as	SCONJ
ispiv-189	64	30	n→	n→	PUNCT
ispiv-189	64	31	∞.	∞.	PROPN
ispiv-189	64	32	the	the	DET
ispiv-189	64	33	poisson	poisson	NOUN
ispiv-189	64	34	equation	equation	NOUN
ispiv-189	64	35	acts	act	VERB
ispiv-189	64	36	as	as	ADP
ispiv-189	64	37	a	a	DET
ispiv-189	64	38	low	low	ADJ
ispiv-189	64	39	-	-	PUNCT
ispiv-189	64	40	pass	pass	NOUN
ispiv-189	64	41	filter	filter	NOUN
ispiv-189	64	42	for	for	ADP
ispiv-189	64	43	the	the	DET
ispiv-189	64	44	data	data	NOUN
ispiv-189	64	45	error	error	NOUN
ispiv-189	64	46	,	,	PUNCT
ispiv-189	64	47	allowing	allow	VERB
ispiv-189	64	48	lower	low	ADJ
ispiv-189	64	49	frequency	frequency	NOUN
ispiv-189	64	50	error	error	NOUN
ispiv-189	64	51	to	to	PART
ispiv-189	64	52	propagate	propagate	VERB
ispiv-189	64	53	while	while	SCONJ
ispiv-189	64	54	eliminating	eliminate	VERB
ispiv-189	64	55	the	the	DET
ispiv-189	64	56	high	high	ADJ
ispiv-189	64	57	frequency	frequency	NOUN
ispiv-189	64	58	errors	error	NOUN
ispiv-189	64	59	.	.	PUNCT
ispiv-189	65	1	also	also	ADV
ispiv-189	65	2	,	,	PUNCT
ispiv-189	65	3	the	the	DET
ispiv-189	65	4	l2	l2	NOUN
ispiv-189	65	5	term	term	NOUN
ispiv-189	65	6	in	in	ADP
ispiv-189	65	7	the	the	DET
ispiv-189	65	8	numerator	numerator	NOUN
ispiv-189	65	9	of	of	ADP
ispiv-189	65	10	(	(	PUNCT
ispiv-189	65	11	7	7	X
ispiv-189	65	12	)	)	PUNCT
ispiv-189	65	13	shows	show	VERB
ispiv-189	65	14	that	that	SCONJ
ispiv-189	65	15	the	the	DET
ispiv-189	65	16	error	error	NOUN
ispiv-189	65	17	amplification	amplification	NOUN
ispiv-189	65	18	ratio	ratio	NOUN
ispiv-189	65	19	is	be	AUX
ispiv-189	65	20	increased	increase	VERB
ispiv-189	65	21	as	as	ADP
ispiv-189	65	22	the	the	DET
ispiv-189	65	23	length	length	NOUN
ispiv-189	65	24	scale	scale	NOUN
ispiv-189	65	25	of	of	ADP
ispiv-189	65	26	the	the	DET
ispiv-189	65	27	domain	domain	NOUN
ispiv-189	65	28	increases	increase	NOUN
ispiv-189	65	29	.	.	PUNCT
ispiv-189	66	1	in	in	ADP
ispiv-189	66	2	general	general	ADJ
ispiv-189	66	3	,	,	PUNCT
ispiv-189	66	4	such	such	DET
ispiv-189	66	5	a	a	DET
ispiv-189	66	6	trend	trend	NOUN
ispiv-189	66	7	also	also	ADV
ispiv-189	66	8	holds	hold	VERB
ispiv-189	66	9	for	for	ADP
ispiv-189	66	10	other	other	ADJ
ispiv-189	66	11	boundary	boundary	ADJ
ispiv-189	66	12	condition	condition	NOUN
ispiv-189	66	13	configurations	configuration	NOUN
ispiv-189	66	14	.	.	PUNCT
ispiv-189	67	1	for	for	ADP
ispiv-189	67	2	example	example	NOUN
ispiv-189	67	3	,	,	PUNCT
ispiv-189	67	4	for	for	ADP
ispiv-189	67	5	a	a	DET
ispiv-189	67	6	1d	1d	NUM
ispiv-189	67	7	system	system	NOUN
ispiv-189	67	8	equipped	equip	VERB
ispiv-189	67	9	with	with	ADP
ispiv-189	67	10	one	one	NUM
ispiv-189	67	11	dirichlet	dirichlet	PROPN
ispiv-189	67	12	bc	bc	PROPN
ispiv-189	67	13	and	and	CCONJ
ispiv-189	67	14	one	one	NUM
ispiv-189	67	15	neumann	neumann	PROPN
ispiv-189	67	16	bc	bc	PROPN
ispiv-189	67	17	at	at	ADP
ispiv-189	67	18	each	each	DET
ispiv-189	67	19	end	end	NOUN
ispiv-189	67	20	,	,	PUNCT
ispiv-189	67	21	the	the	DET
ispiv-189	67	22	error	error	NOUN
ispiv-189	67	23	amplification	amplification	NOUN
ispiv-189	67	24	ratio	ratio	NOUN
ispiv-189	67	25	is	be	AUX
ispiv-189	67	26	ar	ar	NOUN
ispiv-189	67	27	=	=	SYM
ispiv-189	67	28	4l2	4l2	PROPN
ispiv-189	67	29	π2(2n−1)2	π2(2n−1)2	ADJ
ispiv-189	67	30	,	,	PUNCT
ispiv-189	67	31	n	n	NOUN
ispiv-189	67	32	=	=	SYM
ispiv-189	67	33	1,2,3	1,2,3	NUM
ispiv-189	67	34	,	,	PUNCT
ispiv-189	67	35	.	.	PUNCT
ispiv-189	67	36	.	.	PUNCT
ispiv-189	67	37	.	.	PUNCT
ispiv-189	68	1	(	(	PUNCT
ispiv-189	68	2	8)	8)	NUM
ispiv-189	68	3	and	and	CCONJ
ispiv-189	68	4	also	also	ADV
ispiv-189	68	5	possesses	possess	VERB
ispiv-189	68	6	low	low	ADJ
ispiv-189	68	7	-	-	PUNCT
ispiv-189	68	8	pass	pass	NOUN
ispiv-189	68	9	filter	filter	NOUN
ispiv-189	68	10	characteristics	characteristic	NOUN
ispiv-189	68	11	.	.	PUNCT
ispiv-189	69	1	this	this	DET
ispiv-189	69	2	low	low	ADJ
ispiv-189	69	3	-	-	PUNCT
ispiv-189	69	4	pass	pass	NOUN
ispiv-189	69	5	filtering	filter	VERB
ispiv-189	69	6	behaviour	behaviour	NOUN
ispiv-189	69	7	is	be	AUX
ispiv-189	69	8	a	a	DET
ispiv-189	69	9	fundamental	fundamental	ADJ
ispiv-189	69	10	property	property	NOUN
ispiv-189	69	11	of	of	ADP
ispiv-189	69	12	the	the	DET
ispiv-189	69	13	poisson	poisson	NOUN
ispiv-189	69	14	equation	equation	NOUN
ispiv-189	69	15	,	,	PUNCT
ispiv-189	69	16	and	and	CCONJ
ispiv-189	69	17	thus	thus	ADV
ispiv-189	69	18	will	will	AUX
ispiv-189	69	19	be	be	AUX
ispiv-189	69	20	presented	present	VERB
ispiv-189	69	21	regardless	regardless	ADV
ispiv-189	69	22	of	of	ADP
ispiv-189	69	23	numerical	numerical	ADJ
ispiv-189	69	24	solving	solving	NOUN
ispiv-189	69	25	scheme	scheme	NOUN
ispiv-189	69	26	chosen	choose	VERB
ispiv-189	69	27	.	.	PUNCT
ispiv-189	70	1	we	we	PRON
ispiv-189	70	2	wish	wish	VERB
ispiv-189	70	3	to	to	PART
ispiv-189	70	4	emphasize	emphasize	VERB
ispiv-189	70	5	that	that	SCONJ
ispiv-189	70	6	the	the	DET
ispiv-189	70	7	frequency	frequency	NOUN
ispiv-189	70	8	response	response	NOUN
ispiv-189	70	9	shown	show	VERB
ispiv-189	70	10	in	in	ADP
ispiv-189	70	11	this	this	DET
ispiv-189	70	12	paper	paper	NOUN
ispiv-189	70	13	is	be	AUX
ispiv-189	70	14	different	different	ADJ
ispiv-189	70	15	than	than	ADP
ispiv-189	70	16	the	the	DET
ispiv-189	70	17	results	result	NOUN
ispiv-189	70	18	obtained	obtain	VERB
ispiv-189	70	19	when	when	SCONJ
ispiv-189	70	20	‘	'	PUNCT
ispiv-189	70	21	local	local	ADJ
ispiv-189	70	22	’	'	PUNCT
ispiv-189	70	23	analysis	analysis	NOUN
ispiv-189	70	24	is	be	AUX
ispiv-189	70	25	used	use	VERB
ispiv-189	70	26	.	.	PUNCT
ispiv-189	71	1	for	for	ADP
ispiv-189	71	2	example	example	NOUN
ispiv-189	71	3	,	,	PUNCT
ispiv-189	71	4	in	in	ADP
ispiv-189	71	5	de	de	PROPN
ispiv-189	71	6	kat	kat	PROPN
ispiv-189	71	7	and	and	CCONJ
ispiv-189	71	8	van	van	PROPN
ispiv-189	71	9	oudheusden	oudheusden	PROPN
ispiv-189	71	10	(	(	PUNCT
ispiv-189	71	11	2012	2012	NUM
ispiv-189	71	12	)	)	PUNCT
ispiv-189	71	13	,	,	PUNCT
ispiv-189	71	14	the	the	DET
ispiv-189	71	15	amplitude	amplitude	NOUN
ispiv-189	71	16	response	response	NOUN
ispiv-189	71	17	of	of	ADP
ispiv-189	71	18	a	a	DET
ispiv-189	71	19	signal	signal	NOUN
ispiv-189	71	20	or	or	CCONJ
ispiv-189	71	21	error	error	NOUN
ispiv-189	71	22	passing	pass	VERB
ispiv-189	71	23	through	through	ADP
ispiv-189	71	24	a	a	DET
ispiv-189	71	25	poisson	poisson	NOUN
ispiv-189	71	26	solver	solver	NOUN
ispiv-189	71	27	is	be	AUX
ispiv-189	71	28	given	give	VERB
ispiv-189	71	29	by	by	ADP
ispiv-189	71	30	:	:	PUNCT
ispiv-189	71	31	tps(h	tps(h	PROPN
ispiv-189	71	32	,	,	PUNCT
ispiv-189	71	33	λx	λx	NOUN
ispiv-189	71	34	)	)	PUNCT
ispiv-189	71	35	=	=	PUNCT
ispiv-189	72	1	|p|	|p|	PRON
ispiv-189	73	1	|	|	ADV
ispiv-189	73	2	f	f	NOUN
ispiv-189	74	1	|	|	NOUN
ispiv-189	74	2	=	=	SYM
ispiv-189	74	3	|εp|	|εp|	NUM
ispiv-189	74	4	|ε	|ε	NOUN
ispiv-189	74	5	f	f	NOUN
ispiv-189	74	6	|	|	NOUN
ispiv-189	74	7	=	=	NOUN
ispiv-189	74	8	1	1	NUM
ispiv-189	74	9	+	+	NUM
ispiv-189	74	10	cos	cos	X
ispiv-189	74	11	(	(	PUNCT
ispiv-189	74	12	π	π	PROPN
ispiv-189	74	13	2h	2h	NUM
ispiv-189	74	14	λx	λx	NOUN
ispiv-189	74	15	)	)	PUNCT
ispiv-189	74	16	2	2	NUM
ispiv-189	74	17	sinc	sinc	PROPN
ispiv-189	74	18	(	(	PUNCT
ispiv-189	74	19	2h	2h	NUM
ispiv-189	74	20	λx	λx	NOUN
ispiv-189	74	21	)	)	PUNCT
ispiv-189	74	22	,	,	PUNCT
ispiv-189	74	23	(	(	PUNCT
ispiv-189	74	24	9	9	X
ispiv-189	74	25	)	)	PUNCT
ispiv-189	74	26	where	where	SCONJ
ispiv-189	74	27	tps	tps	NOUN
ispiv-189	74	28	is	be	AUX
ispiv-189	74	29	the	the	DET
ispiv-189	74	30	transfer	transfer	NOUN
ispiv-189	74	31	function	function	NOUN
ispiv-189	74	32	of	of	ADP
ispiv-189	74	33	the	the	DET
ispiv-189	74	34	poisson	poisson	NOUN
ispiv-189	74	35	solver	solver	ADV
ispiv-189	74	36	,	,	PUNCT
ispiv-189	74	37	h	h	NOUN
ispiv-189	74	38	is	be	AUX
ispiv-189	74	39	the	the	DET
ispiv-189	74	40	grid	grid	NOUN
ispiv-189	74	41	spacing	spacing	NOUN
ispiv-189	74	42	,	,	PUNCT
ispiv-189	74	43	and	and	CCONJ
ispiv-189	74	44	λx	λx	PROPN
ispiv-189	74	45	is	be	AUX
ispiv-189	74	46	the	the	DET
ispiv-189	74	47	spatial	spatial	ADJ
ispiv-189	74	48	wavelength	wavelength	NOUN
ispiv-189	74	49	of	of	ADP
ispiv-189	74	50	the	the	DET
ispiv-189	74	51	input	input	NOUN
ispiv-189	74	52	signal	signal	NOUN
ispiv-189	74	53	(	(	PUNCT
ispiv-189	74	54	or	or	CCONJ
ispiv-189	74	55	error	error	NOUN
ispiv-189	74	56	)	)	PUNCT
ispiv-189	74	57	to	to	ADP
ispiv-189	74	58	the	the	DET
ispiv-189	74	59	numerical	numerical	PROPN
ispiv-189	74	60	poisson	poisson	PROPN
ispiv-189	74	61	solver	solver	ADV
ispiv-189	74	62	.	.	PUNCT
ispiv-189	75	1	in	in	ADP
ispiv-189	75	2	(	(	PUNCT
ispiv-189	75	3	9	9	NUM
ispiv-189	75	4	)	)	PUNCT
ispiv-189	75	5	,	,	PUNCT
ispiv-189	75	6	as	as	ADP
ispiv-189	75	7	h	h	NOUN
ispiv-189	75	8	/	/	SYM
ispiv-189	75	9	λx→	λx→	NOUN
ispiv-189	75	10	0	0	NUM
ispiv-189	75	11	,	,	PUNCT
ispiv-189	75	12	tps(h	tps(h	PROPN
ispiv-189	75	13	,	,	PUNCT
ispiv-189	75	14	λx)→	λx)→	PROPN
ispiv-189	75	15	1	1	NUM
ispiv-189	75	16	.	.	PUNCT
ispiv-189	76	1	this	this	PRON
ispiv-189	76	2	implies	imply	VERB
ispiv-189	76	3	that	that	SCONJ
ispiv-189	76	4	if	if	SCONJ
ispiv-189	76	5	the	the	DET
ispiv-189	76	6	mesh	mesh	NOUN
ispiv-189	76	7	is	be	AUX
ispiv-189	76	8	sufficiently	sufficiently	ADV
ispiv-189	76	9	fine	fine	ADJ
ispiv-189	76	10	,	,	PUNCT
ispiv-189	76	11	the	the	DET
ispiv-189	76	12	error	error	NOUN
ispiv-189	76	13	propagating	propagate	VERB
ispiv-189	76	14	through	through	ADP
ispiv-189	76	15	a	a	DET
ispiv-189	76	16	poisson	poisson	NOUN
ispiv-189	76	17	solver	solver	NOUN
ispiv-189	76	18	is	be	AUX
ispiv-189	76	19	expected	expect	VERB
ispiv-189	76	20	to	to	PART
ispiv-189	76	21	be	be	AUX
ispiv-189	76	22	unfiltered	unfiltered	ADJ
ispiv-189	76	23	.	.	PUNCT
ispiv-189	77	1	this	this	DET
ispiv-189	77	2	expectation	expectation	NOUN
ispiv-189	77	3	holds	hold	VERB
ispiv-189	77	4	only	only	ADV
ispiv-189	77	5	when	when	SCONJ
ispiv-189	77	6	analysing	analyse	VERB
ispiv-189	77	7	a	a	DET
ispiv-189	77	8	local	local	ADJ
ispiv-189	77	9	region	region	NOUN
ispiv-189	77	10	in	in	ADP
ispiv-189	77	11	a	a	DET
ispiv-189	77	12	domain	domain	NOUN
ispiv-189	77	13	and	and	CCONJ
ispiv-189	77	14	is	be	AUX
ispiv-189	77	15	up	up	ADP
ispiv-189	77	16	to	to	ADP
ispiv-189	77	17	the	the	DET
ispiv-189	77	18	local	local	ADJ
ispiv-189	77	19	choice	choice	NOUN
ispiv-189	77	20	of	of	ADP
ispiv-189	77	21	numerical	numerical	ADJ
ispiv-189	77	22	scheme	scheme	NOUN
ispiv-189	77	23	and	and	CCONJ
ispiv-189	77	24	grid	grid	NOUN
ispiv-189	77	25	spacing	spacing	NOUN
ispiv-189	77	26	.	.	PUNCT
ispiv-189	78	1	the	the	DET
ispiv-189	78	2	analysis	analysis	NOUN
ispiv-189	78	3	in	in	ADP
ispiv-189	78	4	the	the	DET
ispiv-189	78	5	current	current	ADJ
ispiv-189	78	6	work	work	NOUN
ispiv-189	78	7	(	(	PUNCT
ispiv-189	78	8	e.g.	e.g.	ADV
ispiv-189	78	9	,	,	PUNCT
ispiv-189	78	10	(	(	PUNCT
ispiv-189	78	11	7	7	NUM
ispiv-189	78	12	)	)	PUNCT
ispiv-189	78	13	and	and	CCONJ
ispiv-189	78	14	(	(	PUNCT
ispiv-189	78	15	8)	8)	NUM
ispiv-189	78	16	for	for	ADP
ispiv-189	78	17	1d	1d	NUM
ispiv-189	78	18	)	)	PUNCT
ispiv-189	78	19	is	be	AUX
ispiv-189	78	20	a	a	DET
ispiv-189	78	21	‘	'	PUNCT
ispiv-189	78	22	global	global	ADJ
ispiv-189	78	23	’	'	PUNCT
ispiv-189	78	24	result	result	NOUN
ispiv-189	78	25	that	that	PRON
ispiv-189	78	26	holds	hold	VERB
ispiv-189	78	27	for	for	ADP
ispiv-189	78	28	all	all	DET
ispiv-189	78	29	numerical	numerical	ADJ
ispiv-189	78	30	pressure	pressure	NOUN
ispiv-189	78	31	poisson	poisson	NOUN
ispiv-189	78	32	solvers	solver	NOUN
ispiv-189	78	33	,	,	PUNCT
ispiv-189	78	34	and	and	CCONJ
ispiv-189	78	35	complements	complement	VERB
ispiv-189	78	36	the	the	DET
ispiv-189	78	37	aforementioned	aforementioned	ADJ
ispiv-189	78	38	‘	'	PUNCT
ispiv-189	78	39	local	local	ADJ
ispiv-189	78	40	’	'	PUNCT
ispiv-189	78	41	analysis	analysis	NOUN
ispiv-189	78	42	.	.	PUNCT
ispiv-189	79	1	invoking	invoke	VERB
ispiv-189	79	2	λx	λx	NOUN
ispiv-189	79	3	∼	∼	NOUN
ispiv-189	79	4	1	1	NUM
ispiv-189	79	5	/	/	SYM
ispiv-189	79	6	n	n	CCONJ
ispiv-189	79	7	,	,	PUNCT
ispiv-189	79	8	ar(λx	ar(λx	NOUN
ispiv-189	79	9	)	)	PUNCT
ispiv-189	80	1	=	=	SYM
ispiv-189	80	2	cλ2	cλ2	NOUN
ispiv-189	80	3	x	x	X
ispiv-189	80	4	,	,	PUNCT
ispiv-189	80	5	where	where	SCONJ
ispiv-189	80	6	c	c	NOUN
ispiv-189	80	7	is	be	AUX
ispiv-189	80	8	a	a	DET
ispiv-189	80	9	constant	constant	ADJ
ispiv-189	80	10	which	which	PRON
ispiv-189	80	11	is	be	AUX
ispiv-189	80	12	dependant	dependant	ADJ
ispiv-189	80	13	on	on	ADP
ispiv-189	80	14	the	the	DET
ispiv-189	80	15	fundamental	fundamental	ADJ
ispiv-189	80	16	features	feature	NOUN
ispiv-189	80	17	of	of	ADP
ispiv-189	80	18	the	the	DET
ispiv-189	80	19	domain	domain	NOUN
ispiv-189	80	20	.	.	PUNCT
ispiv-189	81	1	3	3	NUM
ispiv-189	81	2	analogy	analogy	NOUN
ispiv-189	81	3	to	to	ADP
ispiv-189	81	4	bulking	bulk	VERB
ispiv-189	81	5	elastic	elastic	ADJ
ispiv-189	81	6	bodies	body	NOUN
ispiv-189	81	7	interestingly	interestingly	ADV
ispiv-189	81	8	,	,	PUNCT
ispiv-189	81	9	a	a	DET
ispiv-189	81	10	parallel	parallel	NOUN
ispiv-189	81	11	can	can	AUX
ispiv-189	81	12	be	be	AUX
ispiv-189	81	13	drawn	draw	VERB
ispiv-189	81	14	between	between	ADP
ispiv-189	81	15	the	the	DET
ispiv-189	81	16	deformation	deformation	NOUN
ispiv-189	81	17	of	of	ADP
ispiv-189	81	18	elastic	elastic	ADJ
ispiv-189	81	19	bodies	body	NOUN
ispiv-189	81	20	and	and	CCONJ
ispiv-189	81	21	the	the	DET
ispiv-189	81	22	propagation	propagation	NOUN
ispiv-189	81	23	of	of	ADP
ispiv-189	81	24	error	error	NOUN
ispiv-189	81	25	in	in	ADP
ispiv-189	81	26	v	v	NOUN
ispiv-189	81	27	-	-	PUNCT
ispiv-189	81	28	pressure	pressure	NOUN
ispiv-189	81	29	experiments	experiment	NOUN
ispiv-189	81	30	.	.	PUNCT
ispiv-189	82	1	we	we	PRON
ispiv-189	82	2	next	next	VERB
ispiv-189	82	3	use	use	VERB
ispiv-189	82	4	euler	euler	NOUN
ispiv-189	82	5	-	-	PUNCT
ispiv-189	82	6	bernoulli	bernoulli	PROPN
ispiv-189	82	7	beam	beam	NOUN
ispiv-189	82	8	theory	theory	NOUN
ispiv-189	82	9	,	,	PUNCT
ispiv-189	82	10	as	as	ADP
ispiv-189	82	11	a	a	DET
ispiv-189	82	12	1d	1d	NUM
ispiv-189	82	13	example	example	NOUN
ispiv-189	82	14	,	,	PUNCT
ispiv-189	82	15	to	to	PART
ispiv-189	82	16	demonstrate	demonstrate	VERB
ispiv-189	82	17	the	the	DET
ispiv-189	82	18	intuitive	intuitive	ADJ
ispiv-189	82	19	analogy	analogy	NOUN
ispiv-189	82	20	and	and	CCONJ
ispiv-189	82	21	evaluate	evaluate	VERB
ispiv-189	82	22	the	the	DET
ispiv-189	82	23	magnitude	magnitude	NOUN
ispiv-189	82	24	of	of	ADP
ispiv-189	82	25	the	the	DET
ispiv-189	82	26	error	error	NOUN
ispiv-189	82	27	propagation	propagation	NOUN
ispiv-189	82	28	in	in	ADP
ispiv-189	82	29	v	v	NOUN
ispiv-189	82	30	-	-	NOUN
ispiv-189	82	31	pressure	pressure	NOUN
ispiv-189	82	32	.	.	PUNCT
ispiv-189	83	1	consider	consider	VERB
ispiv-189	83	2	a	a	DET
ispiv-189	83	3	homogeneous	homogeneous	ADJ
ispiv-189	83	4	beam	beam	NOUN
ispiv-189	83	5	of	of	ADP
ispiv-189	83	6	length	length	NOUN
ispiv-189	83	7	l	l	NOUN
ispiv-189	83	8	which	which	PRON
ispiv-189	83	9	undergoes	undergo	VERB
ispiv-189	83	10	transverse	transverse	NOUN
ispiv-189	83	11	vibrations	vibration	NOUN
ispiv-189	83	12	.	.	PUNCT
ispiv-189	84	1	the	the	DET
ispiv-189	84	2	normalized	normalize	VERB
ispiv-189	84	3	deflection	deflection	NOUN
ispiv-189	84	4	profile	profile	NOUN
ispiv-189	84	5	of	of	ADP
ispiv-189	84	6	the	the	DET
ispiv-189	84	7	beam	beam	NOUN
ispiv-189	84	8	is	be	AUX
ispiv-189	84	9	governed	govern	VERB
ispiv-189	84	10	by	by	ADP
ispiv-189	84	11	the	the	DET
ispiv-189	84	12	differential	differential	ADJ
ispiv-189	84	13	equation	equation	NOUN
ispiv-189	84	14	:	:	PUNCT
ispiv-189	84	15	d4y	d4y	NOUN
ispiv-189	84	16	dx4	dx4	X
ispiv-189	84	17	=	=	SYM
ispiv-189	84	18	d2y	d2y	PROPN
ispiv-189	84	19	dt2	dt2	PROPN
ispiv-189	84	20	,	,	PUNCT
ispiv-189	84	21	(	(	PUNCT
ispiv-189	84	22	10	10	NUM
ispiv-189	84	23	)	)	PUNCT
ispiv-189	84	24	where	where	SCONJ
ispiv-189	84	25	y	y	PROPN
ispiv-189	84	26	(	(	PUNCT
ispiv-189	84	27	x	x	PROPN
ispiv-189	84	28	,	,	PUNCT
ispiv-189	84	29	t	t	PROPN
ispiv-189	84	30	)	)	PUNCT
ispiv-189	84	31	is	be	AUX
ispiv-189	84	32	the	the	DET
ispiv-189	84	33	beam	beam	NOUN
ispiv-189	84	34	deflection	deflection	NOUN
ispiv-189	84	35	in	in	ADP
ispiv-189	84	36	the	the	DET
ispiv-189	84	37	direction	direction	NOUN
ispiv-189	84	38	that	that	PRON
ispiv-189	84	39	is	be	AUX
ispiv-189	84	40	perpendicular	perpendicular	ADJ
ispiv-189	84	41	to	to	ADP
ispiv-189	84	42	the	the	DET
ispiv-189	84	43	x	x	NOUN
ispiv-189	84	44	coordinate	coordinate	NOUN
ispiv-189	84	45	,	,	PUNCT
ispiv-189	84	46	and	and	CCONJ
ispiv-189	84	47	t	t	PROPN
ispiv-189	84	48	is	be	AUX
ispiv-189	84	49	time	time	NOUN
ispiv-189	84	50	.	.	PUNCT
ispiv-189	85	1	by	by	ADP
ispiv-189	85	2	separation	separation	NOUN
ispiv-189	85	3	of	of	ADP
ispiv-189	85	4	variables	variable	NOUN
ispiv-189	85	5	(	(	PUNCT
ispiv-189	85	6	y	y	PROPN
ispiv-189	85	7	(	(	PUNCT
ispiv-189	85	8	x	x	PROPN
ispiv-189	85	9	,	,	PUNCT
ispiv-189	85	10	t	t	PROPN
ispiv-189	85	11	)	)	PUNCT
ispiv-189	85	12	=	=	SYM
ispiv-189	85	13	x(x)t	x(x)t	PROPN
ispiv-189	85	14	(	(	PUNCT
ispiv-189	85	15	t	t	PROPN
ispiv-189	85	16	)	)	PUNCT
ispiv-189	85	17	)	)	PUNCT
ispiv-189	85	18	,	,	PUNCT
ispiv-189	85	19	where	where	SCONJ
ispiv-189	85	20	t	t	PROPN
ispiv-189	85	21	(	(	PUNCT
ispiv-189	85	22	t	t	PROPN
ispiv-189	85	23	)	)	PUNCT
ispiv-189	85	24	is	be	AUX
ispiv-189	85	25	a	a	DET
ispiv-189	85	26	function	function	NOUN
ispiv-189	85	27	of	of	ADP
ispiv-189	85	28	t	t	PROPN
ispiv-189	85	29	and	and	CCONJ
ispiv-189	85	30	x(x	x(x	PROPN
ispiv-189	85	31	)	)	PUNCT
ispiv-189	85	32	is	be	AUX
ispiv-189	85	33	a	a	DET
ispiv-189	85	34	function	function	NOUN
ispiv-189	85	35	of	of	ADP
ispiv-189	85	36	the	the	DET
ispiv-189	85	37	spatial	spatial	ADJ
ispiv-189	85	38	x	x	PUNCT
ispiv-189	85	39	coordinate	coordinate	NOUN
ispiv-189	85	40	and	and	CCONJ
ispiv-189	85	41	hence	hence	ADV
ispiv-189	85	42	describes	describe	VERB
ispiv-189	85	43	the	the	DET
ispiv-189	85	44	modes	mode	NOUN
ispiv-189	85	45	of	of	ADP
ispiv-189	85	46	the	the	DET
ispiv-189	85	47	vibrating	vibrating	NOUN
ispiv-189	85	48	beam	beam	NOUN
ispiv-189	85	49	,	,	PUNCT
ispiv-189	85	50	the	the	DET
ispiv-189	85	51	corresponding	correspond	VERB
ispiv-189	85	52	eigenvalue	eigenvalue	PROPN
ispiv-189	85	53	problem	problem	NOUN
ispiv-189	85	54	of	of	ADP
ispiv-189	85	55	(	(	PUNCT
ispiv-189	85	56	10	10	NUM
ispiv-189	85	57	)	)	PUNCT
ispiv-189	85	58	is	be	AUX
ispiv-189	85	59	:	:	PUNCT
ispiv-189	85	60	d4x	d4x	PROPN
ispiv-189	85	61	dx4	dx4	X
ispiv-189	86	1	=	=	SYM
ispiv-189	86	2	γx	γx	NOUN
ispiv-189	86	3	,	,	PUNCT
ispiv-189	86	4	(	(	PUNCT
ispiv-189	86	5	11	11	NUM
ispiv-189	86	6	)	)	PUNCT
ispiv-189	86	7	where	where	SCONJ
ispiv-189	86	8	γ	γ	PROPN
ispiv-189	86	9	is	be	AUX
ispiv-189	86	10	the	the	DET
ispiv-189	86	11	eigenvalue	eigenvalue	NOUN
ispiv-189	86	12	,	,	PUNCT
ispiv-189	86	13	and	and	CCONJ
ispiv-189	86	14	k	k	NOUN
ispiv-189	86	15	=	=	SYM
ispiv-189	87	1	4	4	NUM
ispiv-189	87	2	√	√	NOUN
ispiv-189	87	3	γ	γ	NOUN
ispiv-189	87	4	(	(	PUNCT
ispiv-189	87	5	timoshenko	timoshenko	NOUN
ispiv-189	87	6	et	et	PROPN
ispiv-189	87	7	al	al	PROPN
ispiv-189	87	8	.	.	PROPN
ispiv-189	87	9	,	,	PUNCT
ispiv-189	87	10	1937	1937	NUM
ispiv-189	87	11	)	)	PUNCT
ispiv-189	87	12	is	be	AUX
ispiv-189	87	13	the	the	DET
ispiv-189	87	14	spatial	spatial	ADJ
ispiv-189	87	15	frequencies	frequency	NOUN
ispiv-189	87	16	of	of	ADP
ispiv-189	87	17	the	the	DET
ispiv-189	87	18	buckled	buckle	VERB
ispiv-189	87	19	beam	beam	NOUN
ispiv-189	87	20	.	.	PUNCT
ispiv-189	88	1	different	different	ADJ
ispiv-189	88	2	eigenvalues	eigenvalue	NOUN
ispiv-189	88	3	(	(	PUNCT
ispiv-189	88	4	γn	γn	NOUN
ispiv-189	88	5	=	=	PUNCT
ispiv-189	88	6	ω−2	ω−2	PROPN
ispiv-189	88	7	n	n	NOUN
ispiv-189	88	8	,	,	PUNCT
ispiv-189	88	9	n	n	NOUN
ispiv-189	88	10	=	=	SYM
ispiv-189	88	11	1,2,3	1,2,3	NUM
ispiv-189	88	12	,	,	PUNCT
ispiv-189	88	13	...	...	PUNCT
ispiv-189	88	14	)	)	PUNCT
ispiv-189	88	15	correspond	correspond	VERB
ispiv-189	88	16	to	to	ADP
ispiv-189	88	17	different	different	ADJ
ispiv-189	88	18	natural	natural	ADJ
ispiv-189	88	19	frequencies	frequency	NOUN
ispiv-189	88	20	(	(	PUNCT
ispiv-189	88	21	ωn	ωn	NOUN
ispiv-189	88	22	)	)	PUNCT
ispiv-189	88	23	of	of	ADP
ispiv-189	88	24	the	the	DET
ispiv-189	88	25	vibrating	vibrate	VERB
ispiv-189	88	26	beam	beam	NOUN
ispiv-189	88	27	and	and	CCONJ
ispiv-189	88	28	the	the	DET
ispiv-189	88	29	eigenfunctions	eigenfunction	NOUN
ispiv-189	88	30	(	(	PUNCT
ispiv-189	88	31	xn	xn	X
ispiv-189	88	32	)	)	PUNCT
ispiv-189	88	33	describe	describe	VERB
ispiv-189	88	34	the	the	DET
ispiv-189	88	35	modes	mode	NOUN
ispiv-189	88	36	of	of	ADP
ispiv-189	88	37	the	the	DET
ispiv-189	88	38	beam	beam	NOUN
ispiv-189	88	39	deflections	deflection	NOUN
ispiv-189	88	40	.	.	PUNCT
ispiv-189	89	1	larger	large	ADJ
ispiv-189	89	2	eigenvalues	eigenvalue	VERB
ispiv-189	89	3	correspond	correspond	VERB
ispiv-189	89	4	to	to	ADP
ispiv-189	89	5	beam	beam	NOUN
ispiv-189	89	6	modes	mode	NOUN
ispiv-189	89	7	with	with	ADP
ispiv-189	89	8	higher	high	ADJ
ispiv-189	89	9	spatial	spatial	ADJ
ispiv-189	89	10	frequencies	frequency	NOUN
ispiv-189	89	11	.	.	PUNCT
ispiv-189	90	1	we	we	PRON
ispiv-189	90	2	also	also	ADV
ispiv-189	90	3	recall	recall	VERB
ispiv-189	90	4	the	the	DET
ispiv-189	90	5	normalized	normalized	ADJ
ispiv-189	90	6	governing	govern	VERB
ispiv-189	90	7	equations	equation	NOUN
ispiv-189	90	8	of	of	ADP
ispiv-189	90	9	a	a	DET
ispiv-189	90	10	bending	bend	VERB
ispiv-189	90	11	beam	beam	NOUN
ispiv-189	90	12	:	:	PUNCT
ispiv-189	90	13	dx	dx	PROPN
ispiv-189	90	14	dx	dx	PROPN
ispiv-189	90	15	=	=	SYM
ispiv-189	90	16	θ	θ	PROPN
ispiv-189	90	17	,	,	PUNCT
ispiv-189	90	18	(	(	PUNCT
ispiv-189	90	19	12	12	NUM
ispiv-189	90	20	)	)	PUNCT
ispiv-189	90	21	d2x	d2x	VERB
ispiv-189	90	22	dx2	dx2	PROPN
ispiv-189	90	23	=	=	NOUN
ispiv-189	90	24	−m	−m	NOUN
ispiv-189	90	25	,	,	PUNCT
ispiv-189	90	26	(	(	PUNCT
ispiv-189	90	27	13	13	NUM
ispiv-189	90	28	)	)	PUNCT
ispiv-189	90	29	d3x	d3x	PROPN
ispiv-189	90	30	dx3	dx3	NOUN
ispiv-189	91	1	=	=	SYM
ispiv-189	91	2	−q	−q	NOUN
ispiv-189	91	3	,	,	PUNCT
ispiv-189	91	4	(	(	PUNCT
ispiv-189	91	5	14	14	NUM
ispiv-189	91	6	)	)	PUNCT
ispiv-189	91	7	d4x	d4x	NOUN
ispiv-189	91	8	dx4	dx4	NOUN
ispiv-189	92	1	=	=	ADJ
ispiv-189	92	2	−w	−w	ADV
ispiv-189	92	3	,	,	PUNCT
ispiv-189	92	4	(	(	PUNCT
ispiv-189	92	5	15	15	NUM
ispiv-189	92	6	)	)	PUNCT
ispiv-189	92	7	where	where	SCONJ
ispiv-189	92	8	θ	θ	PROPN
ispiv-189	92	9	is	be	AUX
ispiv-189	92	10	the	the	DET
ispiv-189	92	11	slope	slope	NOUN
ispiv-189	92	12	,	,	PUNCT
ispiv-189	92	13	m	m	VERB
ispiv-189	92	14	is	be	AUX
ispiv-189	92	15	the	the	DET
ispiv-189	92	16	bending	bend	VERB
ispiv-189	92	17	moment	moment	NOUN
ispiv-189	92	18	,	,	PUNCT
ispiv-189	92	19	q	q	PROPN
ispiv-189	92	20	is	be	AUX
ispiv-189	92	21	the	the	DET
ispiv-189	92	22	shear	shear	NOUN
ispiv-189	92	23	force	force	NOUN
ispiv-189	92	24	in	in	ADP
ispiv-189	92	25	the	the	DET
ispiv-189	92	26	beam	beam	NOUN
ispiv-189	92	27	,	,	PUNCT
ispiv-189	92	28	and	and	CCONJ
ispiv-189	92	29	w	w	NOUN
ispiv-189	92	30	is	be	AUX
ispiv-189	92	31	the	the	DET
ispiv-189	92	32	transverse	transverse	NOUN
ispiv-189	92	33	load	load	NOUN
ispiv-189	92	34	on	on	ADP
ispiv-189	92	35	the	the	DET
ispiv-189	92	36	beam	beam	NOUN
ispiv-189	92	37	,	,	PUNCT
ispiv-189	92	38	respectively	respectively	ADV
ispiv-189	92	39	.	.	PUNCT
ispiv-189	93	1	one	one	PRON
ispiv-189	93	2	may	may	AUX
ispiv-189	93	3	notice	notice	VERB
ispiv-189	93	4	that	that	SCONJ
ispiv-189	93	5	(	(	PUNCT
ispiv-189	93	6	11	11	NUM
ispiv-189	93	7	)	)	PUNCT
ispiv-189	93	8	,	,	PUNCT
ispiv-189	93	9	which	which	PRON
ispiv-189	93	10	is	be	AUX
ispiv-189	93	11	from	from	ADP
ispiv-189	93	12	euler	euler	NOUN
ispiv-189	93	13	-	-	PUNCT
ispiv-189	93	14	bernoulli	bernoulli	PROPN
ispiv-189	93	15	beam	beam	NOUN
ispiv-189	93	16	theory	theory	NOUN
ispiv-189	93	17	,	,	PUNCT
ispiv-189	93	18	is	be	AUX
ispiv-189	93	19	the	the	DET
ispiv-189	93	20	1d	1d	NUM
ispiv-189	93	21	equivalent	equivalent	NOUN
ispiv-189	93	22	of	of	ADP
ispiv-189	93	23	(	(	PUNCT
ispiv-189	93	24	4	4	NUM
ispiv-189	93	25	)	)	PUNCT
ispiv-189	93	26	,	,	PUNCT
ispiv-189	93	27	which	which	PRON
ispiv-189	93	28	arises	arise	VERB
ispiv-189	93	29	in	in	ADP
ispiv-189	93	30	the	the	DET
ispiv-189	93	31	error	error	NOUN
ispiv-189	93	32	propagation	propagation	NOUN
ispiv-189	93	33	problem	problem	NOUN
ispiv-189	93	34	of	of	ADP
ispiv-189	93	35	pressure	pressure	NOUN
ispiv-189	93	36	-	-	PUNCT
ispiv-189	93	37	velocimetry	velocimetry	NOUN
ispiv-189	93	38	calculations	calculation	NOUN
ispiv-189	93	39	.	.	PUNCT
ispiv-189	94	1	in	in	ADP
ispiv-189	94	2	addition	addition	NOUN
ispiv-189	94	3	,	,	PUNCT
ispiv-189	94	4	(	(	PUNCT
ispiv-189	94	5	13	13	NUM
ispiv-189	94	6	)	)	PUNCT
ispiv-189	94	7	describes	describe	VERB
ispiv-189	94	8	the	the	DET
ispiv-189	94	9	relationship	relationship	NOUN
ispiv-189	94	10	between	between	ADP
ispiv-189	94	11	the	the	DET
ispiv-189	94	12	second	second	ADJ
ispiv-189	94	13	order	order	NOUN
ispiv-189	94	14	derivative	derivative	NOUN
ispiv-189	94	15	of	of	ADP
ispiv-189	94	16	the	the	DET
ispiv-189	94	17	beam	beam	NOUN
ispiv-189	94	18	deflection	deflection	NOUN
ispiv-189	94	19	and	and	CCONJ
ispiv-189	94	20	bending	bend	VERB
ispiv-189	94	21	moment	moment	NOUN
ispiv-189	94	22	;	;	PUNCT
ispiv-189	94	23	and	and	CCONJ
ispiv-189	94	24	it	it	PRON
ispiv-189	94	25	takes	take	VERB
ispiv-189	94	26	the	the	DET
ispiv-189	94	27	form	form	NOUN
ispiv-189	94	28	of	of	ADP
ispiv-189	94	29	the	the	DET
ispiv-189	94	30	poisson	poisson	NOUN
ispiv-189	94	31	’s	’s	PART
ispiv-189	94	32	equation	equation	NOUN
ispiv-189	94	33	about	about	ADP
ispiv-189	94	34	error	error	NOUN
ispiv-189	94	35	propagation	propagation	NOUN
ispiv-189	94	36	,	,	PUNCT
ispiv-189	94	37	i.e.	i.e.	X
ispiv-189	94	38	,	,	PUNCT
ispiv-189	94	39	(	(	PUNCT
ispiv-189	94	40	1	1	X
ispiv-189	94	41	)	)	PUNCT
ispiv-189	94	42	in	in	ADP
ispiv-189	94	43	one	one	NUM
ispiv-189	94	44	dimension	dimension	NOUN
ispiv-189	94	45	.	.	PUNCT
ispiv-189	95	1	we	we	PRON
ispiv-189	95	2	now	now	ADV
ispiv-189	95	3	observe	observe	VERB
ispiv-189	95	4	the	the	DET
ispiv-189	95	5	analogy	analogy	NOUN
ispiv-189	95	6	between	between	ADP
ispiv-189	95	7	the	the	DET
ispiv-189	95	8	euler	euler	PROPN
ispiv-189	95	9	-	-	PUNCT
ispiv-189	95	10	bernoulli	bernoulli	NOUN
ispiv-189	95	11	problem	problem	NOUN
ispiv-189	95	12	and	and	CCONJ
ispiv-189	95	13	the	the	DET
ispiv-189	95	14	dynamics	dynamic	NOUN
ispiv-189	95	15	of	of	ADP
ispiv-189	95	16	v	v	NOUN
ispiv-189	95	17	-	-	PUNCT
ispiv-189	95	18	pressure	pressure	NOUN
ispiv-189	95	19	error	error	NOUN
ispiv-189	95	20	propagation	propagation	NOUN
ispiv-189	95	21	,	,	PUNCT
ispiv-189	95	22	from	from	ADP
ispiv-189	95	23	(	(	PUNCT
ispiv-189	95	24	13	13	NUM
ispiv-189	95	25	)	)	PUNCT
ispiv-189	95	26	and	and	CCONJ
ispiv-189	95	27	(	(	PUNCT
ispiv-189	95	28	1	1	NUM
ispiv-189	95	29	):	):	PUNCT
ispiv-189	95	30	the	the	DET
ispiv-189	95	31	buckling	buckling	NOUN
ispiv-189	95	32	of	of	ADP
ispiv-189	95	33	a	a	DET
ispiv-189	95	34	beam	beam	NOUN
ispiv-189	95	35	(	(	PUNCT
ispiv-189	95	36	x	x	NOUN
ispiv-189	95	37	)	)	PUNCT
ispiv-189	95	38	as	as	ADP
ispiv-189	95	39	a	a	DET
ispiv-189	95	40	result	result	NOUN
ispiv-189	95	41	of	of	ADP
ispiv-189	95	42	an	an	DET
ispiv-189	95	43	applied	applied	ADJ
ispiv-189	95	44	bending	bend	VERB
ispiv-189	95	45	moment	moment	NOUN
ispiv-189	95	46	(	(	PUNCT
ispiv-189	95	47	m	m	NOUN
ispiv-189	95	48	)	)	PUNCT
ispiv-189	95	49	is	be	AUX
ispiv-189	95	50	equivalent	equivalent	ADJ
ispiv-189	95	51	to	to	ADP
ispiv-189	95	52	the	the	DET
ispiv-189	95	53	profile	profile	NOUN
ispiv-189	95	54	of	of	ADP
ispiv-189	95	55	the	the	DET
ispiv-189	95	56	error	error	NOUN
ispiv-189	95	57	in	in	ADP
ispiv-189	95	58	the	the	DET
ispiv-189	95	59	pressure	pressure	NOUN
ispiv-189	95	60	field	field	NOUN
ispiv-189	95	61	(	(	PUNCT
ispiv-189	95	62	εp	εp	ADP
ispiv-189	95	63	)	)	PUNCT
ispiv-189	95	64	as	as	ADP
ispiv-189	95	65	a	a	DET
ispiv-189	95	66	result	result	NOUN
ispiv-189	95	67	of	of	ADP
ispiv-189	95	68	the	the	DET
ispiv-189	95	69	error	error	NOUN
ispiv-189	95	70	in	in	ADP
ispiv-189	95	71	the	the	DET
ispiv-189	95	72	data	datum	NOUN
ispiv-189	95	73	(	(	PUNCT
ispiv-189	95	74	ε	ε	PROPN
ispiv-189	95	75	f	f	PROPN
ispiv-189	95	76	)	)	PUNCT
ispiv-189	95	77	for	for	ADP
ispiv-189	95	78	the	the	DET
ispiv-189	95	79	v	v	NOUN
ispiv-189	95	80	-	-	PUNCT
ispiv-189	95	81	pressure	pressure	NOUN
ispiv-189	95	82	error	error	NOUN
ispiv-189	95	83	propagation	propagation	NOUN
ispiv-189	95	84	problem	problem	NOUN
ispiv-189	95	85	.	.	PUNCT
ispiv-189	96	1	solving	solve	VERB
ispiv-189	96	2	(	(	PUNCT
ispiv-189	96	3	11	11	NUM
ispiv-189	96	4	)	)	PUNCT
ispiv-189	96	5	requires	require	VERB
ispiv-189	96	6	four	four	NUM
ispiv-189	96	7	boundary	boundary	ADJ
ispiv-189	96	8	conditions	condition	NOUN
ispiv-189	96	9	.	.	PUNCT
ispiv-189	97	1	for	for	ADP
ispiv-189	97	2	example	example	NOUN
ispiv-189	97	3	,	,	PUNCT
ispiv-189	97	4	if	if	SCONJ
ispiv-189	97	5	both	both	PRON
ispiv-189	97	6	ends	end	VERB
ispiv-189	97	7	of	of	ADP
ispiv-189	97	8	the	the	DET
ispiv-189	97	9	beam	beam	NOUN
ispiv-189	97	10	are	be	AUX
ispiv-189	97	11	simply	simply	ADV
ispiv-189	97	12	supported	support	VERB
ispiv-189	97	13	(	(	PUNCT
ispiv-189	97	14	also	also	ADV
ispiv-189	97	15	called	call	VERB
ispiv-189	97	16	hinged	hinge	VERB
ispiv-189	97	17	in	in	ADP
ispiv-189	97	18	some	some	DET
ispiv-189	97	19	textbooks	textbook	NOUN
ispiv-189	97	20	,	,	PUNCT
ispiv-189	97	21	see	see	VERB
ispiv-189	97	22	figure	figure	NOUN
ispiv-189	97	23	1(a	1(a	NUM
ispiv-189	97	24	)	)	PUNCT
ispiv-189	97	25	for	for	ADP
ispiv-189	97	26	illustration	illustration	NOUN
ispiv-189	97	27	)	)	PUNCT
ispiv-189	97	28	,	,	PUNCT
ispiv-189	97	29	the	the	DET
ispiv-189	97	30	displacement	displacement	NOUN
ispiv-189	97	31	at	at	ADP
ispiv-189	97	32	the	the	DET
ispiv-189	97	33	ends	end	NOUN
ispiv-189	97	34	are	be	AUX
ispiv-189	97	35	constrained	constrain	VERB
ispiv-189	97	36	by	by	ADP
ispiv-189	97	37	the	the	DET
ispiv-189	97	38	kinematic	kinematic	ADJ
ispiv-189	97	39	boundary	boundary	ADJ
ispiv-189	97	40	conditions	condition	NOUN
ispiv-189	97	41	(	(	PUNCT
ispiv-189	97	42	also	also	ADV
ispiv-189	97	43	called	call	VERB
ispiv-189	97	44	essential	essential	ADJ
ispiv-189	97	45	boundary	boundary	ADJ
ispiv-189	97	46	conditions	condition	NOUN
ispiv-189	97	47	):	):	PUNCT
ispiv-189	97	48	x(0	x(0	PROPN
ispiv-189	97	49	)	)	PUNCT
ispiv-189	97	50	=	=	PUNCT
ispiv-189	98	1	x(l	x(l	X
ispiv-189	98	2	)	)	PUNCT
ispiv-189	99	1	=	=	SYM
ispiv-189	99	2	0	0	NUM
ispiv-189	99	3	,	,	PUNCT
ispiv-189	99	4	(	(	PUNCT
ispiv-189	99	5	16	16	NUM
ispiv-189	99	6	)	)	PUNCT
ispiv-189	99	7	and	and	CCONJ
ispiv-189	99	8	natural	natural	ADJ
ispiv-189	99	9	boundary	boundary	ADJ
ispiv-189	99	10	conditions	condition	NOUN
ispiv-189	99	11	indicating	indicate	VERB
ispiv-189	99	12	that	that	SCONJ
ispiv-189	99	13	no	no	DET
ispiv-189	99	14	bending	bend	VERB
ispiv-189	99	15	moments	moment	NOUN
ispiv-189	99	16	are	be	AUX
ispiv-189	99	17	exerted	exert	VERB
ispiv-189	99	18	at	at	ADP
ispiv-189	99	19	the	the	DET
ispiv-189	99	20	ends	end	NOUN
ispiv-189	99	21	(	(	PUNCT
ispiv-189	99	22	see	see	VERB
ispiv-189	99	23	harris	harris	PROPN
ispiv-189	99	24	and	and	CCONJ
ispiv-189	99	25	piersol	piersol	PROPN
ispiv-189	99	26	(	(	PUNCT
ispiv-189	99	27	2002	2002	NUM
ispiv-189	99	28	)	)	PUNCT
ispiv-189	99	29	and	and	CCONJ
ispiv-189	99	30	(	(	PUNCT
ispiv-189	99	31	13	13	NUM
ispiv-189	99	32	)	)	PUNCT
ispiv-189	99	33	):	):	PUNCT
ispiv-189	99	34	x	x	X
ispiv-189	99	35	′′(0	′′(0	X
ispiv-189	99	36	)	)	PUNCT
ispiv-189	99	37	=	=	PUNCT
ispiv-189	99	38	x	x	SYM
ispiv-189	99	39	′′(l	′′(l	NOUN
ispiv-189	99	40	)	)	PUNCT
ispiv-189	99	41	=	=	SYM
ispiv-189	100	1	0	0	X
ispiv-189	100	2	.	.	PUNCT
ispiv-189	101	1	(	(	PUNCT
ispiv-189	101	2	17	17	NUM
ispiv-189	101	3	)	)	PUNCT
ispiv-189	101	4	(	(	PUNCT
ispiv-189	101	5	a	a	X
ispiv-189	101	6	)	)	PUNCT
ispiv-189	101	7	(	(	PUNCT
ispiv-189	101	8	b)(b	b)(b	ADJ
ispiv-189	101	9	)	)	PUNCT
ispiv-189	101	10	(	(	PUNCT
ispiv-189	101	11	a	a	X
ispiv-189	101	12	)	)	PUNCT
ispiv-189	101	13	(	(	PUNCT
ispiv-189	101	14	b)(b	b)(b	ADJ
ispiv-189	101	15	)	)	PUNCT
ispiv-189	101	16	figure	figure	NOUN
ispiv-189	101	17	1	1	NUM
ispiv-189	101	18	:	:	PUNCT
ispiv-189	101	19	bent	bent	ADJ
ispiv-189	101	20	euler	euler	VERB
ispiv-189	101	21	-	-	PUNCT
ispiv-189	101	22	bernoulli	bernoulli	PROPN
ispiv-189	101	23	beam	beam	NOUN
ispiv-189	101	24	with	with	ADP
ispiv-189	101	25	different	different	ADJ
ispiv-189	101	26	supporting	support	VERB
ispiv-189	101	27	mechanisms	mechanism	NOUN
ispiv-189	101	28	:	:	PUNCT
ispiv-189	101	29	(	(	PUNCT
ispiv-189	101	30	a	a	X
ispiv-189	101	31	)	)	PUNCT
ispiv-189	101	32	simply	simply	ADV
ispiv-189	101	33	supported	support	VERB
ispiv-189	101	34	at	at	ADP
ispiv-189	101	35	both	both	DET
ispiv-189	101	36	ends	end	NOUN
ispiv-189	101	37	(	(	PUNCT
ispiv-189	101	38	associated	associate	VERB
ispiv-189	101	39	with	with	ADP
ispiv-189	101	40	dirichlet	dirichlet	PROPN
ispiv-189	101	41	-	-	PUNCT
ispiv-189	101	42	dirichlet	dirichlet	PROPN
ispiv-189	101	43	bcs	bcs	NOUN
ispiv-189	101	44	for	for	ADP
ispiv-189	101	45	v	v	NOUN
ispiv-189	101	46	-	-	PUNCT
ispiv-189	101	47	pressure	pressure	NOUN
ispiv-189	101	48	problem	problem	NOUN
ispiv-189	101	49	)	)	PUNCT
ispiv-189	101	50	and	and	CCONJ
ispiv-189	101	51	(	(	PUNCT
ispiv-189	101	52	b	b	X
ispiv-189	101	53	)	)	PUNCT
ispiv-189	101	54	simply	simply	ADV
ispiv-189	101	55	supported	support	VERB
ispiv-189	101	56	at	at	ADP
ispiv-189	101	57	the	the	DET
ispiv-189	101	58	left	left	ADJ
ispiv-189	101	59	end	end	NOUN
ispiv-189	101	60	and	and	CCONJ
ispiv-189	101	61	supported	support	VERB
ispiv-189	101	62	by	by	ADP
ispiv-189	101	63	a	a	DET
ispiv-189	101	64	slide	slide	NOUN
ispiv-189	101	65	at	at	ADP
ispiv-189	101	66	the	the	DET
ispiv-189	101	67	right	right	ADJ
ispiv-189	101	68	end	end	NOUN
ispiv-189	101	69	(	(	PUNCT
ispiv-189	101	70	associated	associate	VERB
ispiv-189	101	71	with	with	ADP
ispiv-189	101	72	dirichlet	dirichlet	PROPN
ispiv-189	101	73	-	-	PUNCT
ispiv-189	101	74	neumann	neumann	PROPN
ispiv-189	101	75	bcs	bcs	PROPN
ispiv-189	101	76	)	)	PUNCT
ispiv-189	101	77	.	.	PUNCT
ispiv-189	102	1	we	we	PRON
ispiv-189	102	2	can	can	AUX
ispiv-189	102	3	see	see	VERB
ispiv-189	102	4	that	that	SCONJ
ispiv-189	102	5	the	the	DET
ispiv-189	102	6	boundary	boundary	ADJ
ispiv-189	102	7	conditions	condition	NOUN
ispiv-189	102	8	(	(	PUNCT
ispiv-189	102	9	16	16	NUM
ispiv-189	102	10	)	)	PUNCT
ispiv-189	102	11	mimic	mimic	VERB
ispiv-189	102	12	the	the	DET
ispiv-189	102	13	essential	essential	ADJ
ispiv-189	102	14	boundary	boundary	ADJ
ispiv-189	102	15	conditions	condition	NOUN
ispiv-189	102	16	of	of	ADP
ispiv-189	102	17	the	the	DET
ispiv-189	102	18	eigenvalue	eigenvalue	PROPN
ispiv-189	102	19	problem	problem	NOUN
ispiv-189	102	20	(	(	PUNCT
ispiv-189	102	21	4	4	NUM
ispiv-189	102	22	)	)	PUNCT
ispiv-189	102	23	that	that	PRON
ispiv-189	102	24	arise	arise	VERB
ispiv-189	102	25	from	from	ADP
ispiv-189	102	26	homogeneous	homogeneous	ADJ
ispiv-189	102	27	boundary	boundary	ADJ
ispiv-189	102	28	conditions	condition	NOUN
ispiv-189	102	29	,	,	PUNCT
ispiv-189	102	30	εp(0	εp(0	NOUN
ispiv-189	102	31	)	)	PUNCT
ispiv-189	102	32	=	=	PUNCT
ispiv-189	102	33	εp(l	εp(l	NUM
ispiv-189	102	34	)	)	PUNCT
ispiv-189	102	35	=	=	SYM
ispiv-189	103	1	0	0	X
ispiv-189	103	2	.	.	PUNCT
ispiv-189	104	1	similarly	similarly	ADV
ispiv-189	104	2	,	,	PUNCT
ispiv-189	104	3	the	the	DET
ispiv-189	104	4	boundary	boundary	ADJ
ispiv-189	104	5	conditions	condition	NOUN
ispiv-189	104	6	(	(	PUNCT
ispiv-189	104	7	17	17	NUM
ispiv-189	104	8	)	)	PUNCT
ispiv-189	104	9	mimic	mimic	VERB
ispiv-189	104	10	the	the	DET
ispiv-189	104	11	corresponding	corresponding	ADJ
ispiv-189	104	12	natural	natural	ADJ
ispiv-189	104	13	boundary	boundary	ADJ
ispiv-189	104	14	conditions	condition	NOUN
ispiv-189	104	15	that	that	PRON
ispiv-189	104	16	arise	arise	VERB
ispiv-189	104	17	from	from	ADP
ispiv-189	104	18	the	the	DET
ispiv-189	104	19	calculus	calculus	NOUN
ispiv-189	104	20	of	of	ADP
ispiv-189	104	21	variations	variation	NOUN
ispiv-189	104	22	ε′′p(0	ε′′p(0	ADJ
ispiv-189	104	23	)	)	PUNCT
ispiv-189	104	24	=	=	SYM
ispiv-189	104	25	ε′′p(l	ε′′p(l	PROPN
ispiv-189	104	26	)	)	PUNCT
ispiv-189	104	27	=	=	PUNCT
ispiv-189	105	1	0	0	X
ispiv-189	105	2	.	.	PUNCT
ispiv-189	106	1	the	the	DET
ispiv-189	106	2	analogy	analogy	NOUN
ispiv-189	106	3	between	between	ADP
ispiv-189	106	4	beam	beam	NOUN
ispiv-189	106	5	deflection	deflection	NOUN
ispiv-189	106	6	and	and	CCONJ
ispiv-189	106	7	v	v	NOUN
ispiv-189	106	8	-	-	PUNCT
ispiv-189	106	9	pressure	pressure	NOUN
ispiv-189	106	10	error	error	NOUN
ispiv-189	106	11	propagation	propagation	NOUN
ispiv-189	106	12	is	be	AUX
ispiv-189	106	13	shown	show	VERB
ispiv-189	106	14	more	more	ADV
ispiv-189	106	15	clearly	clearly	ADV
ispiv-189	106	16	in	in	ADP
ispiv-189	106	17	table	table	NOUN
ispiv-189	106	18	2	2	NUM
ispiv-189	106	19	.	.	PUNCT
ispiv-189	107	1	this	this	DET
ispiv-189	107	2	table	table	NOUN
ispiv-189	107	3	shows	show	VERB
ispiv-189	107	4	the	the	DET
ispiv-189	107	5	physical	physical	ADJ
ispiv-189	107	6	interpretation	interpretation	NOUN
ispiv-189	107	7	of	of	ADP
ispiv-189	107	8	different	different	ADJ
ispiv-189	107	9	variables	variable	NOUN
ispiv-189	107	10	/	/	SYM
ispiv-189	107	11	equations	equation	NOUN
ispiv-189	107	12	in	in	ADP
ispiv-189	107	13	the	the	DET
ispiv-189	107	14	beam	beam	NOUN
ispiv-189	107	15	problem	problem	NOUN
ispiv-189	107	16	,	,	PUNCT
ispiv-189	107	17	as	as	ADV
ispiv-189	107	18	well	well	ADV
ispiv-189	107	19	as	as	ADP
ispiv-189	107	20	their	their	PRON
ispiv-189	107	21	equivalent	equivalent	ADJ
ispiv-189	107	22	variables	variable	NOUN
ispiv-189	107	23	/	/	SYM
ispiv-189	107	24	equations	equation	NOUN
ispiv-189	107	25	in	in	ADP
ispiv-189	107	26	v	v	NOUN
ispiv-189	107	27	-	-	PUNCT
ispiv-189	107	28	pressure	pressure	NOUN
ispiv-189	107	29	error	error	NOUN
ispiv-189	107	30	propagation	propagation	NOUN
ispiv-189	107	31	.	.	PUNCT
ispiv-189	108	1	the	the	DET
ispiv-189	108	2	table	table	NOUN
ispiv-189	108	3	also	also	ADV
ispiv-189	108	4	draws	draw	VERB
ispiv-189	108	5	the	the	DET
ispiv-189	108	6	parallel	parallel	NOUN
ispiv-189	108	7	between	between	ADP
ispiv-189	108	8	a	a	DET
ispiv-189	108	9	homogeneous	homogeneous	ADJ
ispiv-189	108	10	neumann	neumann	PROPN
ispiv-189	108	11	boundary	boundary	NOUN
ispiv-189	108	12	in	in	ADP
ispiv-189	108	13	the	the	DET
ispiv-189	108	14	pressure	pressure	NOUN
ispiv-189	108	15	poisson	poisson	NOUN
ispiv-189	108	16	equation	equation	NOUN
ispiv-189	108	17	and	and	CCONJ
ispiv-189	108	18	a	a	DET
ispiv-189	108	19	slide	slide	NOUN
ispiv-189	108	20	-	-	PUNCT
ispiv-189	108	21	support	support	NOUN
ispiv-189	108	22	in	in	ADP
ispiv-189	108	23	elastic	elastic	ADJ
ispiv-189	108	24	dynamics	dynamic	NOUN
ispiv-189	108	25	(	(	PUNCT
ispiv-189	108	26	illustrated	illustrate	VERB
ispiv-189	108	27	in	in	ADP
ispiv-189	108	28	figure	figure	NOUN
ispiv-189	108	29	1(b	1(b	NUM
ispiv-189	108	30	)	)	PUNCT
ispiv-189	108	31	)	)	PUNCT
ispiv-189	108	32	.	.	PUNCT
ispiv-189	109	1	the	the	DET
ispiv-189	109	2	analogy	analogy	NOUN
ispiv-189	109	3	of	of	ADP
ispiv-189	109	4	the	the	DET
ispiv-189	109	5	buckling	buckling	NOUN
ispiv-189	109	6	of	of	ADP
ispiv-189	109	7	elastic	elastic	ADJ
ispiv-189	109	8	bodies	body	NOUN
ispiv-189	109	9	will	will	AUX
ispiv-189	109	10	be	be	AUX
ispiv-189	109	11	further	far	ADV
ispiv-189	109	12	reinforced	reinforce	VERB
ispiv-189	109	13	in	in	ADP
ispiv-189	109	14	the	the	DET
ispiv-189	109	15	following	follow	VERB
ispiv-189	109	16	section	section	NOUN
ispiv-189	109	17	(	(	PUNCT
ispiv-189	109	18	§	§	NOUN
ispiv-189	109	19	4	4	NUM
ispiv-189	109	20	)	)	PUNCT
ispiv-189	109	21	in	in	ADP
ispiv-189	109	22	the	the	DET
ispiv-189	109	23	context	context	NOUN
ispiv-189	109	24	of	of	ADP
ispiv-189	109	25	v	v	NOUN
ispiv-189	109	26	-	-	PUNCT
ispiv-189	109	27	pressure	pressure	NOUN
ispiv-189	109	28	error	error	NOUN
ispiv-189	109	29	propagation	propagation	NOUN
ispiv-189	109	30	.	.	PUNCT
ispiv-189	110	1	4	4	NUM
ispiv-189	110	2	impact	impact	NOUN
ispiv-189	110	3	of	of	ADP
ispiv-189	110	4	the	the	DET
ispiv-189	110	5	location	location	NOUN
ispiv-189	110	6	of	of	ADP
ispiv-189	110	7	the	the	DET
ispiv-189	110	8	error	error	NOUN
ispiv-189	110	9	the	the	DET
ispiv-189	110	10	dynamics	dynamic	NOUN
ispiv-189	110	11	of	of	ADP
ispiv-189	110	12	error	error	NOUN
ispiv-189	110	13	propagation	propagation	NOUN
ispiv-189	110	14	to	to	ADP
ispiv-189	110	15	the	the	DET
ispiv-189	110	16	pressure	pressure	NOUN
ispiv-189	110	17	field	field	NOUN
ispiv-189	110	18	from	from	ADP
ispiv-189	110	19	the	the	DET
ispiv-189	110	20	data	data	NOUN
ispiv-189	110	21	field	field	NOUN
ispiv-189	110	22	is	be	AUX
ispiv-189	110	23	a	a	DET
ispiv-189	110	24	function	function	NOUN
ispiv-189	110	25	that	that	PRON
ispiv-189	110	26	depends	depend	VERB
ispiv-189	110	27	on	on	ADP
ispiv-189	110	28	both	both	CCONJ
ispiv-189	110	29	the	the	DET
ispiv-189	110	30	domain	domain	NOUN
ispiv-189	110	31	’s	’s	PART
ispiv-189	110	32	fundamental	fundamental	ADJ
ispiv-189	110	33	features	feature	NOUN
ispiv-189	110	34	and	and	CCONJ
ispiv-189	110	35	the	the	DET
ispiv-189	110	36	location	location	NOUN
ispiv-189	110	37	of	of	ADP
ispiv-189	110	38	the	the	DET
ispiv-189	110	39	error	error	NOUN
ispiv-189	110	40	.	.	PUNCT
ispiv-189	111	1	to	to	PART
ispiv-189	111	2	demonstrate	demonstrate	VERB
ispiv-189	111	3	this	this	PRON
ispiv-189	111	4	,	,	PUNCT
ispiv-189	111	5	we	we	PRON
ispiv-189	111	6	can	can	AUX
ispiv-189	111	7	use	use	VERB
ispiv-189	111	8	a	a	DET
ispiv-189	111	9	sharp	sharp	ADJ
ispiv-189	111	10	peak	peak	NOUN
ispiv-189	111	11	error	error	NOUN
ispiv-189	111	12	function	function	NOUN
ispiv-189	111	13	that	that	PRON
ispiv-189	111	14	is	be	AUX
ispiv-189	111	15	constrained	constrain	VERB
ispiv-189	111	16	to	to	PART
ispiv-189	111	17	have	have	VERB
ispiv-189	111	18	a	a	DET
ispiv-189	111	19	finite	finite	ADJ
ispiv-189	111	20	error	error	NOUN
ispiv-189	111	21	power	power	NOUN
ispiv-189	111	22	.	.	PUNCT
ispiv-189	112	1	for	for	ADP
ispiv-189	112	2	example	example	NOUN
ispiv-189	112	3	,	,	PUNCT
ispiv-189	112	4	the	the	DET
ispiv-189	112	5	following	follow	VERB
ispiv-189	112	6	rectangular	rectangular	ADJ
ispiv-189	112	7	peak	peak	NOUN
ispiv-189	112	8	can	can	AUX
ispiv-189	112	9	be	be	AUX
ispiv-189	112	10	used	use	VERB
ispiv-189	112	11	for	for	ADP
ispiv-189	112	12	1d	1d	NUM
ispiv-189	112	13	analysis	analysis	NOUN
ispiv-189	112	14	:	:	PUNCT
ispiv-189	112	15	ε	ε	PROPN
ispiv-189	112	16	f	f	PROPN
ispiv-189	112	17	=	=	SYM
ispiv-189	112	18	δπ(x−	δπ(x−	PROPN
ispiv-189	112	19	x0	x0	PROPN
ispiv-189	112	20	)	)	PUNCT
ispiv-189	113	1	=	=	PRON
ispiv-189	113	2	{	{	PUNCT
ispiv-189	113	3	ξ	ξ	PROPN
ispiv-189	113	4	,	,	PUNCT
ispiv-189	113	5	|x−	|x−	PROPN
ispiv-189	113	6	x0|	x0|	PROPN
ispiv-189	113	7	≤	≤	PROPN
ispiv-189	114	1	π	π	PROPN
ispiv-189	114	2	2	2	NUM
ispiv-189	114	3	0	0	NUM
ispiv-189	114	4	,	,	PUNCT
ispiv-189	114	5	|x−	|x−	PUNCT
ispiv-189	114	6	x0|	x0|	PROPN
ispiv-189	114	7	>	>	X
ispiv-189	115	1	π	π	PROPN
ispiv-189	115	2	2	2	NUM
ispiv-189	115	3	,	,	PUNCT
ispiv-189	115	4	(	(	PUNCT
ispiv-189	115	5	18	18	NUM
ispiv-189	115	6	)	)	PUNCT
ispiv-189	115	7	where	where	SCONJ
ispiv-189	115	8	δπ(x−x0	δπ(x−x0	NOUN
ispiv-189	115	9	)	)	PUNCT
ispiv-189	115	10	is	be	AUX
ispiv-189	115	11	a	a	DET
ispiv-189	115	12	rectangular	rectangular	ADJ
ispiv-189	115	13	pulse	pulse	NOUN
ispiv-189	115	14	function	function	NOUN
ispiv-189	115	15	with	with	ADP
ispiv-189	115	16	a	a	DET
ispiv-189	115	17	small	small	ADJ
ispiv-189	115	18	pulse	pulse	NOUN
ispiv-189	115	19	width	width	NOUN
ispiv-189	115	20	π	π	PROPN
ispiv-189	115	21	centered	center	VERB
ispiv-189	115	22	at	at	ADP
ispiv-189	115	23	x	x	X
ispiv-189	115	24	=	=	SYM
ispiv-189	115	25	x0	x0	PROPN
ispiv-189	115	26	.	.	PUNCT
ispiv-189	116	1	the	the	DET
ispiv-189	116	2	resulting	result	VERB
ispiv-189	116	3	εp	εp	NOUN
ispiv-189	116	4	and	and	CCONJ
ispiv-189	116	5	the	the	DET
ispiv-189	116	6	corresponding	corresponding	ADJ
ispiv-189	116	7	error	error	NOUN
ispiv-189	116	8	amplification	amplification	NOUN
ispiv-189	116	9	ratio	ratio	NOUN
ispiv-189	116	10	(	(	PUNCT
ispiv-189	116	11	ar	ar	NOUN
ispiv-189	116	12	)	)	PUNCT
ispiv-189	116	13	for	for	ADP
ispiv-189	116	14	each	each	DET
ispiv-189	116	15	x0	x0	PROPN
ispiv-189	116	16	∈	∈	PROPN
ispiv-189	116	17	(	(	PUNCT
ispiv-189	116	18	0,l	0,l	PROPN
ispiv-189	116	19	)	)	PUNCT
ispiv-189	116	20	then	then	ADV
ispiv-189	116	21	can	can	AUX
ispiv-189	116	22	be	be	AUX
ispiv-189	116	23	evaluated	evaluate	VERB
ispiv-189	116	24	by	by	ADP
ispiv-189	116	25	solving	solve	VERB
ispiv-189	116	26	(	(	PUNCT
ispiv-189	116	27	1	1	NUM
ispiv-189	116	28	)	)	PUNCT
ispiv-189	116	29	.	.	PUNCT
ispiv-189	117	1	ar	ar	PROPN
ispiv-189	117	2	=	=	NOUN
ispiv-189	117	3	ar(x0	ar(x0	PROPN
ispiv-189	117	4	)	)	PUNCT
ispiv-189	117	5	is	be	AUX
ispiv-189	117	6	thus	thus	ADV
ispiv-189	117	7	a	a	DET
ispiv-189	117	8	quantification	quantification	NOUN
ispiv-189	117	9	of	of	ADP
ispiv-189	117	10	how	how	SCONJ
ispiv-189	117	11	sensitive	sensitive	ADJ
ispiv-189	117	12	the	the	DET
ispiv-189	117	13	pressure	pressure	NOUN
ispiv-189	117	14	solver	solver	NOUN
ispiv-189	117	15	is	be	AUX
ispiv-189	117	16	to	to	ADP
ispiv-189	117	17	the	the	DET
ispiv-189	117	18	error	error	NOUN
ispiv-189	117	19	at	at	ADP
ispiv-189	117	20	a	a	DET
ispiv-189	117	21	given	give	VERB
ispiv-189	117	22	location	location	NOUN
ispiv-189	117	23	x0	x0	PROPN
ispiv-189	117	24	.	.	PUNCT
ispiv-189	118	1	0	0	NUM
ispiv-189	118	2	0.2	0.2	NUM
ispiv-189	118	3	0.4	0.4	NUM
ispiv-189	118	4	0.6	0.6	NUM
ispiv-189	118	5	0.8	0.8	NUM
ispiv-189	118	6	1	1	NUM
ispiv-189	118	7	-0.08	-0.08	NUM
ispiv-189	118	8	-0.06	-0.06	NUM
ispiv-189	118	9	-0.04	-0.04	NUM
ispiv-189	118	10	-0.02	-0.02	NUM
ispiv-189	118	11	0	0	NUM
ispiv-189	118	12	(	(	PUNCT
ispiv-189	118	13	a	a	NOUN
ispiv-189	118	14	)	)	PUNCT
ispiv-189	118	15	(	(	PUNCT
ispiv-189	118	16	b	b	NOUN
ispiv-189	118	17	)	)	PUNCT
ispiv-189	118	18	0	0	NUM
ispiv-189	119	1	0.5	0.5	NUM
ispiv-189	119	2	1	1	NUM
ispiv-189	119	3	1.5	1.5	NUM
ispiv-189	119	4	2	2	NUM
ispiv-189	119	5	0	0	NUM
ispiv-189	119	6	0.05	0.05	NUM
ispiv-189	119	7	0.1	0.1	NUM
ispiv-189	119	8	0.15	0.15	NUM
ispiv-189	119	9	0.2	0.2	NUM
ispiv-189	119	10	0.25	0.25	NUM
ispiv-189	119	11	(	(	PUNCT
ispiv-189	119	12	a	a	NOUN
ispiv-189	119	13	)	)	PUNCT
ispiv-189	119	14	(	(	PUNCT
ispiv-189	119	15	b	b	X
ispiv-189	119	16	)	)	PUNCT
ispiv-189	119	17	figure	figure	NOUN
ispiv-189	119	18	2	2	NUM
ispiv-189	119	19	:	:	PUNCT
ispiv-189	119	20	error	error	NOUN
ispiv-189	119	21	amplification	amplification	NOUN
ispiv-189	119	22	ratio	ratio	NOUN
ispiv-189	119	23	(	(	PUNCT
ispiv-189	119	24	ar	ar	NOUN
ispiv-189	119	25	)	)	PUNCT
ispiv-189	119	26	and	and	CCONJ
ispiv-189	119	27	error	error	NOUN
ispiv-189	119	28	profile	profile	NOUN
ispiv-189	119	29	in	in	ADP
ispiv-189	119	30	the	the	DET
ispiv-189	119	31	pressure	pressure	NOUN
ispiv-189	119	32	field	field	NOUN
ispiv-189	119	33	εp	εp	ADP
ispiv-189	119	34	when	when	SCONJ
ispiv-189	119	35	concentrated	concentrated	ADJ
ispiv-189	119	36	error	error	NOUN
ispiv-189	119	37	(	(	PUNCT
ispiv-189	119	38	ε	ε	PROPN
ispiv-189	119	39	f	f	PROPN
ispiv-189	119	40	=	=	PUNCT
ispiv-189	119	41	δ0.01l(x−x0	δ0.01l(x−x0	NOUN
ispiv-189	119	42	)	)	PUNCT
ispiv-189	119	43	is	be	AUX
ispiv-189	119	44	introduced	introduce	VERB
ispiv-189	119	45	at	at	ADP
ispiv-189	119	46	different	different	ADJ
ispiv-189	119	47	locations	location	NOUN
ispiv-189	119	48	(	(	PUNCT
ispiv-189	119	49	x0	x0	PROPN
ispiv-189	119	50	)	)	PUNCT
ispiv-189	119	51	)	)	PUNCT
ispiv-189	119	52	.	.	PUNCT
ispiv-189	120	1	(	(	PUNCT
ispiv-189	120	2	a	a	X
ispiv-189	120	3	)	)	PUNCT
ispiv-189	120	4	ar	ar	NOUN
ispiv-189	120	5	corresponding	correspond	VERB
ispiv-189	120	6	to	to	ADP
ispiv-189	120	7	the	the	DET
ispiv-189	120	8	location	location	NOUN
ispiv-189	120	9	of	of	ADP
ispiv-189	120	10	concentrated	concentrate	VERB
ispiv-189	120	11	error	error	NOUN
ispiv-189	120	12	(	(	PUNCT
ispiv-189	120	13	x0	x0	PROPN
ispiv-189	120	14	)	)	PUNCT
ispiv-189	120	15	for	for	ADP
ispiv-189	120	16	domains	domain	NOUN
ispiv-189	120	17	with	with	ADP
ispiv-189	120	18	different	different	ADJ
ispiv-189	120	19	sizes	size	NOUN
ispiv-189	120	20	and	and	CCONJ
ispiv-189	120	21	configurations	configuration	NOUN
ispiv-189	120	22	of	of	ADP
ispiv-189	120	23	boundary	boundary	ADJ
ispiv-189	120	24	condition	condition	NOUN
ispiv-189	120	25	.	.	PUNCT
ispiv-189	121	1	(	(	PUNCT
ispiv-189	121	2	b	b	X
ispiv-189	121	3	)	)	PUNCT
ispiv-189	121	4	profiles	profile	NOUN
ispiv-189	121	5	of	of	ADP
ispiv-189	121	6	εp	εp	NOUN
ispiv-189	121	7	over	over	ADP
ispiv-189	121	8	a	a	DET
ispiv-189	121	9	domain	domain	NOUN
ispiv-189	121	10	with	with	ADP
ispiv-189	121	11	size	size	NOUN
ispiv-189	121	12	l	l	NOUN
ispiv-189	121	13	=	=	SYM
ispiv-189	121	14	1	1	NUM
ispiv-189	121	15	,	,	PUNCT
ispiv-189	121	16	when	when	SCONJ
ispiv-189	121	17	concentrated	concentrate	VERB
ispiv-189	121	18	error	error	NOUN
ispiv-189	121	19	ε	ε	X
ispiv-189	121	20	f	f	NOUN
ispiv-189	121	21	=	=	PUNCT
ispiv-189	121	22	δπ(x−x0	δπ(x−x0	NOUN
ispiv-189	121	23	)	)	PUNCT
ispiv-189	121	24	is	be	AUX
ispiv-189	121	25	introduced	introduce	VERB
ispiv-189	121	26	at	at	ADP
ispiv-189	121	27	x0	x0	PROPN
ispiv-189	121	28	=	=	PUNCT
ispiv-189	121	29	2/3,1/2,1/3	2/3,1/2,1/3	ADJ
ispiv-189	121	30	.	.	PUNCT
ispiv-189	122	1	the	the	DET
ispiv-189	122	2	solid	solid	ADJ
ispiv-189	122	3	curves	curve	NOUN
ispiv-189	122	4	indicate	indicate	VERB
ispiv-189	122	5	the	the	DET
ispiv-189	122	6	results	result	NOUN
ispiv-189	122	7	on	on	ADP
ispiv-189	122	8	the	the	DET
ispiv-189	122	9	domain	domain	NOUN
ispiv-189	122	10	with	with	ADP
ispiv-189	122	11	dirichlet	dirichlet	PROPN
ispiv-189	122	12	-	-	PUNCT
ispiv-189	122	13	dirichlet	dirichlet	PROPN
ispiv-189	122	14	bcs	bc	NOUN
ispiv-189	122	15	,	,	PUNCT
ispiv-189	122	16	and	and	CCONJ
ispiv-189	122	17	the	the	DET
ispiv-189	122	18	dashed	dash	VERB
ispiv-189	122	19	curves	curve	NOUN
ispiv-189	122	20	indicate	indicate	VERB
ispiv-189	122	21	the	the	DET
ispiv-189	122	22	results	result	NOUN
ispiv-189	122	23	on	on	ADP
ispiv-189	122	24	the	the	DET
ispiv-189	122	25	domain	domain	NOUN
ispiv-189	122	26	with	with	ADP
ispiv-189	122	27	dirichlet	dirichlet	PROPN
ispiv-189	122	28	-	-	PUNCT
ispiv-189	122	29	neumann	neumann	PROPN
ispiv-189	122	30	bcs	bcs	PROPN
ispiv-189	122	31	,	,	PUNCT
ispiv-189	122	32	respectively	respectively	ADV
ispiv-189	122	33	.	.	PUNCT
ispiv-189	123	1	figure	figure	NOUN
ispiv-189	123	2	2(a	2(a	NUM
ispiv-189	123	3	)	)	PUNCT
ispiv-189	123	4	demonstrates	demonstrate	VERB
ispiv-189	123	5	a	a	DET
ispiv-189	123	6	case	case	NOUN
ispiv-189	123	7	study	study	NOUN
ispiv-189	123	8	of	of	ADP
ispiv-189	123	9	the	the	DET
ispiv-189	123	10	error	error	NOUN
ispiv-189	123	11	amplification	amplification	NOUN
ispiv-189	123	12	ratio	ratio	NOUN
ispiv-189	123	13	ar(x0	ar(x0	NOUN
ispiv-189	123	14	)	)	PUNCT
ispiv-189	123	15	caused	cause	VERB
ispiv-189	123	16	by	by	ADP
ispiv-189	123	17	error	error	NOUN
ispiv-189	123	18	concentrated	concentrate	VERB
ispiv-189	123	19	at	at	ADP
ispiv-189	123	20	different	different	ADJ
ispiv-189	123	21	places	place	NOUN
ispiv-189	123	22	in	in	ADP
ispiv-189	123	23	a	a	DET
ispiv-189	123	24	1d	1d	NUM
ispiv-189	123	25	domain	domain	NOUN
ispiv-189	123	26	with	with	ADP
ispiv-189	123	27	different	different	ADJ
ispiv-189	123	28	sizes	size	NOUN
ispiv-189	123	29	(	(	PUNCT
ispiv-189	123	30	l=	l=	NOUN
ispiv-189	123	31	1	1	NUM
ispiv-189	123	32	or	or	CCONJ
ispiv-189	123	33	2	2	NUM
ispiv-189	123	34	)	)	PUNCT
ispiv-189	123	35	and	and	CCONJ
ispiv-189	123	36	configurations	configuration	NOUN
ispiv-189	123	37	of	of	ADP
ispiv-189	123	38	boundary	boundary	ADJ
ispiv-189	123	39	conditions	condition	NOUN
ispiv-189	123	40	.	.	PUNCT
ispiv-189	124	1	table	table	NOUN
ispiv-189	124	2	2	2	NUM
ispiv-189	124	3	:	:	PUNCT
ispiv-189	124	4	analogy	analogy	NOUN
ispiv-189	124	5	between	between	ADP
ispiv-189	124	6	the	the	DET
ispiv-189	124	7	beam	beam	NOUN
ispiv-189	124	8	vibration	vibration	NOUN
ispiv-189	124	9	problem	problem	NOUN
ispiv-189	124	10	and	and	CCONJ
ispiv-189	124	11	the	the	DET
ispiv-189	124	12	error	error	NOUN
ispiv-189	124	13	propagation	propagation	NOUN
ispiv-189	124	14	problem	problem	NOUN
ispiv-189	124	15	raised	raise	VERB
ispiv-189	124	16	by	by	ADP
ispiv-189	124	17	the	the	DET
ispiv-189	124	18	velocimetry	velocimetry	NOUN
ispiv-189	124	19	-	-	PUNCT
ispiv-189	124	20	based	base	VERB
ispiv-189	124	21	pressure	pressure	NOUN
ispiv-189	124	22	reconstruction	reconstruction	NOUN
ispiv-189	124	23	.	.	PUNCT
ispiv-189	125	1	the	the	DET
ispiv-189	125	2	concentrated	concentrate	VERB
ispiv-189	125	3	error	error	NOUN
ispiv-189	125	4	source	source	NOUN
ispiv-189	125	5	is	be	AUX
ispiv-189	125	6	constructed	construct	VERB
ispiv-189	125	7	using	use	VERB
ispiv-189	125	8	(	(	PUNCT
ispiv-189	125	9	18	18	NUM
ispiv-189	125	10	)	)	PUNCT
ispiv-189	125	11	with	with	ADP
ispiv-189	125	12	width	width	ADJ
ispiv-189	125	13	π	π	NOUN
ispiv-189	125	14	=	=	SYM
ispiv-189	125	15	0.01l	0.01l	NOUN
ispiv-189	125	16	and	and	CCONJ
ispiv-189	125	17	height	height	NOUN
ispiv-189	125	18	ξ	ξ	X
ispiv-189	125	19	=	=	SYM
ispiv-189	125	20	10	10	NUM
ispiv-189	125	21	.	.	PUNCT
ispiv-189	126	1	the	the	DET
ispiv-189	126	2	solid	solid	ADJ
ispiv-189	126	3	curves	curve	NOUN
ispiv-189	126	4	,	,	PUNCT
ispiv-189	126	5	which	which	PRON
ispiv-189	126	6	represent	represent	VERB
ispiv-189	126	7	domains	domain	NOUN
ispiv-189	126	8	with	with	ADP
ispiv-189	126	9	pure	pure	ADJ
ispiv-189	126	10	dirichlet	dirichlet	PROPN
ispiv-189	126	11	boundaries	boundary	NOUN
ispiv-189	126	12	,	,	PUNCT
ispiv-189	126	13	have	have	VERB
ispiv-189	126	14	the	the	DET
ispiv-189	126	15	highest	high	ADJ
ispiv-189	126	16	value	value	NOUN
ispiv-189	126	17	of	of	ADP
ispiv-189	126	18	ar	ar	NOUN
ispiv-189	126	19	at	at	ADP
ispiv-189	126	20	the	the	DET
ispiv-189	126	21	center	center	NOUN
ispiv-189	126	22	of	of	ADP
ispiv-189	126	23	the	the	DET
ispiv-189	126	24	domain	domain	NOUN
ispiv-189	126	25	,	,	PUNCT
ispiv-189	126	26	which	which	PRON
ispiv-189	126	27	is	be	AUX
ispiv-189	126	28	the	the	DET
ispiv-189	126	29	location	location	NOUN
ispiv-189	126	30	which	which	PRON
ispiv-189	126	31	is	be	AUX
ispiv-189	126	32	farthest	farth	ADJ
ispiv-189	126	33	from	from	ADP
ispiv-189	126	34	any	any	DET
ispiv-189	126	35	dirichlet	dirichlet	PROPN
ispiv-189	126	36	boundary	boundary	NOUN
ispiv-189	126	37	,	,	PUNCT
ispiv-189	126	38	while	while	SCONJ
ispiv-189	126	39	ar	ar	NOUN
ispiv-189	126	40	vanishes	vanish	VERB
ispiv-189	126	41	as	as	SCONJ
ispiv-189	126	42	the	the	DET
ispiv-189	126	43	dirichlet	dirichlet	PROPN
ispiv-189	126	44	boundaries	boundary	NOUN
ispiv-189	126	45	are	be	AUX
ispiv-189	126	46	approached	approach	VERB
ispiv-189	126	47	.	.	PUNCT
ispiv-189	127	1	the	the	DET
ispiv-189	127	2	dashed	dash	VERB
ispiv-189	127	3	curves	curve	NOUN
ispiv-189	127	4	,	,	PUNCT
ispiv-189	127	5	which	which	PRON
ispiv-189	127	6	represent	represent	VERB
ispiv-189	127	7	domains	domain	NOUN
ispiv-189	127	8	with	with	ADP
ispiv-189	127	9	dirichlet	dirichlet	PROPN
ispiv-189	127	10	-	-	PUNCT
ispiv-189	127	11	neumann	neumann	PROPN
ispiv-189	127	12	conditions	condition	NOUN
ispiv-189	127	13	,	,	PUNCT
ispiv-189	127	14	have	have	VERB
ispiv-189	127	15	the	the	DET
ispiv-189	127	16	highest	high	ADJ
ispiv-189	127	17	value	value	NOUN
ispiv-189	127	18	of	of	ADP
ispiv-189	127	19	ar	ar	NOUN
ispiv-189	127	20	at	at	ADP
ispiv-189	127	21	the	the	DET
ispiv-189	127	22	neumann	neumann	PROPN
ispiv-189	127	23	boundaries	boundaries	PROPN
ispiv-189	127	24	,	,	PUNCT
ispiv-189	127	25	and	and	CCONJ
ispiv-189	127	26	also	also	ADV
ispiv-189	127	27	have	have	VERB
ispiv-189	127	28	ar(x0	ar(x0	NOUN
ispiv-189	127	29	)	)	PUNCT
ispiv-189	127	30	approach	approach	NOUN
ispiv-189	127	31	0	0	NUM
ispiv-189	128	1	at	at	ADP
ispiv-189	128	2	the	the	DET
ispiv-189	128	3	dirichlet	dirichlet	PROPN
ispiv-189	128	4	boundaries	boundary	NOUN
ispiv-189	128	5	.	.	PUNCT
ispiv-189	129	1	this	this	PRON
ispiv-189	129	2	implies	imply	VERB
ispiv-189	129	3	that	that	SCONJ
ispiv-189	129	4	the	the	DET
ispiv-189	129	5	data	datum	NOUN
ispiv-189	129	6	near	near	ADP
ispiv-189	129	7	a	a	DET
ispiv-189	129	8	dirichlet	dirichlet	PROPN
ispiv-189	129	9	boundary	boundary	NOUN
ispiv-189	129	10	is	be	AUX
ispiv-189	129	11	less	less	ADV
ispiv-189	129	12	sensitive	sensitive	ADJ
ispiv-189	129	13	to	to	ADP
ispiv-189	129	14	error	error	NOUN
ispiv-189	129	15	,	,	PUNCT
ispiv-189	129	16	while	while	SCONJ
ispiv-189	129	17	data	datum	NOUN
ispiv-189	129	18	far	far	ADV
ispiv-189	129	19	from	from	ADP
ispiv-189	129	20	dirichlet	dirichlet	PROPN
ispiv-189	129	21	boundaries	boundary	NOUN
ispiv-189	129	22	or	or	CCONJ
ispiv-189	129	23	close	close	ADJ
ispiv-189	129	24	to	to	ADP
ispiv-189	129	25	a	a	DET
ispiv-189	129	26	neumann	neumann	PROPN
ispiv-189	129	27	boundary	boundary	NOUN
ispiv-189	129	28	is	be	AUX
ispiv-189	129	29	sensitive	sensitive	ADJ
ispiv-189	129	30	to	to	ADP
ispiv-189	129	31	error	error	NOUN
ispiv-189	129	32	in	in	ADP
ispiv-189	129	33	the	the	DET
ispiv-189	129	34	data	datum	NOUN
ispiv-189	129	35	.	.	PUNCT
ispiv-189	130	1	figure	figure	NOUN
ispiv-189	130	2	2(b	2(b	NUM
ispiv-189	130	3	)	)	PUNCT
ispiv-189	130	4	shows	show	VERB
ispiv-189	130	5	the	the	DET
ispiv-189	130	6	reconstructed	reconstructed	ADJ
ispiv-189	130	7	pressure	pressure	NOUN
ispiv-189	130	8	field	field	NOUN
ispiv-189	130	9	,	,	PUNCT
ispiv-189	130	10	εp	εp	ADP
ispiv-189	130	11	,	,	PUNCT
ispiv-189	130	12	for	for	ADP
ispiv-189	130	13	a	a	DET
ispiv-189	130	14	concentrated	concentrate	VERB
ispiv-189	130	15	error	error	NOUN
ispiv-189	130	16	located	locate	VERB
ispiv-189	130	17	at	at	ADP
ispiv-189	130	18	x0	x0	PROPN
ispiv-189	130	19	=	=	PROPN
ispiv-189	130	20	1/3,1/2	1/3,1/2	NUM
ispiv-189	130	21	,	,	PUNCT
ispiv-189	130	22	and	and	CCONJ
ispiv-189	130	23	2/3	2/3	NUM
ispiv-189	130	24	for	for	ADP
ispiv-189	130	25	pure	pure	ADJ
ispiv-189	130	26	dirichlet	dirichlet	NOUN
ispiv-189	130	27	(	(	PUNCT
ispiv-189	130	28	solid	solid	ADJ
ispiv-189	130	29	lines	line	NOUN
ispiv-189	130	30	)	)	PUNCT
ispiv-189	130	31	and	and	CCONJ
ispiv-189	130	32	mixed	mixed	ADJ
ispiv-189	130	33	(	(	PUNCT
ispiv-189	130	34	dashed	dash	VERB
ispiv-189	130	35	lines	line	NOUN
ispiv-189	130	36	)	)	PUNCT
ispiv-189	130	37	boundary	boundary	ADJ
ispiv-189	130	38	conditions	condition	NOUN
ispiv-189	130	39	.	.	PUNCT
ispiv-189	131	1	the	the	DET
ispiv-189	131	2	error	error	NOUN
ispiv-189	131	3	for	for	ADP
ispiv-189	131	4	the	the	DET
ispiv-189	131	5	pure	pure	ADJ
ispiv-189	131	6	dirichlet	dirichlet	PROPN
ispiv-189	131	7	case	case	NOUN
ispiv-189	131	8	reaches	reach	VERB
ispiv-189	131	9	its	its	PRON
ispiv-189	131	10	highest	high	ADJ
ispiv-189	131	11	peak	peak	NOUN
ispiv-189	131	12	for	for	ADP
ispiv-189	131	13	x0	x0	PROPN
ispiv-189	131	14	=	=	SYM
ispiv-189	131	15	1/2	1/2	NUM
ispiv-189	131	16	,	,	PUNCT
ispiv-189	131	17	when	when	SCONJ
ispiv-189	131	18	the	the	DET
ispiv-189	131	19	concentrated	concentrate	VERB
ispiv-189	131	20	error	error	NOUN
ispiv-189	131	21	is	be	AUX
ispiv-189	131	22	furthest	furth	ADJ
ispiv-189	131	23	from	from	ADP
ispiv-189	131	24	the	the	DET
ispiv-189	131	25	dirichlet	dirichlet	PROPN
ispiv-189	131	26	boundaries	boundary	NOUN
ispiv-189	131	27	.	.	PUNCT
ispiv-189	132	1	for	for	ADP
ispiv-189	132	2	the	the	DET
ispiv-189	132	3	mixed	mixed	ADJ
ispiv-189	132	4	boundary	boundary	ADJ
ispiv-189	132	5	conditions	condition	NOUN
ispiv-189	132	6	,	,	PUNCT
ispiv-189	132	7	the	the	DET
ispiv-189	132	8	error	error	NOUN
ispiv-189	132	9	reaches	reach	VERB
ispiv-189	132	10	its	its	PRON
ispiv-189	132	11	highest	high	ADJ
ispiv-189	132	12	value	value	NOUN
ispiv-189	132	13	for	for	ADP
ispiv-189	132	14	x0	x0	PROPN
ispiv-189	132	15	=	=	SYM
ispiv-189	132	16	2/3	2/3	PROPN
ispiv-189	132	17	,	,	PUNCT
ispiv-189	132	18	which	which	PRON
ispiv-189	132	19	is	be	AUX
ispiv-189	132	20	when	when	SCONJ
ispiv-189	132	21	the	the	DET
ispiv-189	132	22	concentrated	concentrate	VERB
ispiv-189	132	23	error	error	NOUN
ispiv-189	132	24	is	be	AUX
ispiv-189	132	25	closest	close	ADJ
ispiv-189	132	26	to	to	ADP
ispiv-189	132	27	the	the	DET
ispiv-189	132	28	neumann	neumann	PROPN
ispiv-189	132	29	boundary	boundary	PROPN
ispiv-189	132	30	.	.	PUNCT
ispiv-189	133	1	the	the	DET
ispiv-189	133	2	error	error	NOUN
ispiv-189	133	3	for	for	ADP
ispiv-189	133	4	the	the	DET
ispiv-189	133	5	pure	pure	ADJ
ispiv-189	133	6	dirichlet	dirichlet	PROPN
ispiv-189	133	7	case	case	NOUN
ispiv-189	133	8	is	be	AUX
ispiv-189	133	9	much	much	ADV
ispiv-189	133	10	lower	low	ADJ
ispiv-189	133	11	than	than	ADP
ispiv-189	133	12	the	the	DET
ispiv-189	133	13	equivalent	equivalent	ADJ
ispiv-189	133	14	error	error	NOUN
ispiv-189	133	15	for	for	ADP
ispiv-189	133	16	mixed	mixed	ADJ
ispiv-189	133	17	boundary	boundary	ADJ
ispiv-189	133	18	conditions	condition	NOUN
ispiv-189	133	19	.	.	PUNCT
ispiv-189	134	1	figure	figure	NOUN
ispiv-189	134	2	2(b	2(b	NUM
ispiv-189	134	3	)	)	PUNCT
ispiv-189	134	4	can	can	AUX
ispiv-189	134	5	be	be	AUX
ispiv-189	134	6	thought	think	VERB
ispiv-189	134	7	of	of	ADP
ispiv-189	134	8	in	in	ADP
ispiv-189	134	9	terms	term	NOUN
ispiv-189	134	10	of	of	ADP
ispiv-189	134	11	the	the	DET
ispiv-189	134	12	buckling	buckle	VERB
ispiv-189	134	13	beam	beam	NOUN
ispiv-189	134	14	example	example	NOUN
ispiv-189	134	15	,	,	PUNCT
ispiv-189	134	16	where	where	SCONJ
ispiv-189	134	17	x0	x0	PROPN
ispiv-189	134	18	is	be	AUX
ispiv-189	134	19	the	the	DET
ispiv-189	134	20	location	location	NOUN
ispiv-189	134	21	of	of	ADP
ispiv-189	134	22	an	an	DET
ispiv-189	134	23	applied	applied	ADJ
ispiv-189	134	24	moment	moment	NOUN
ispiv-189	134	25	on	on	ADP
ispiv-189	134	26	the	the	DET
ispiv-189	134	27	beam	beam	NOUN
ispiv-189	134	28	,	,	PUNCT
ispiv-189	134	29	and	and	CCONJ
ispiv-189	134	30	εp	εp	ADV
ispiv-189	134	31	is	be	AUX
ispiv-189	134	32	the	the	DET
ispiv-189	134	33	beam	beam	NOUN
ispiv-189	134	34	deflection	deflection	NOUN
ispiv-189	134	35	profile	profile	NOUN
ispiv-189	134	36	.	.	PUNCT
ispiv-189	135	1	the	the	DET
ispiv-189	135	2	pure	pure	ADJ
ispiv-189	135	3	dirichlet	dirichlet	PROPN
ispiv-189	135	4	condition	condition	NOUN
ispiv-189	135	5	would	would	AUX
ispiv-189	135	6	be	be	AUX
ispiv-189	135	7	equivalent	equivalent	ADJ
ispiv-189	135	8	to	to	ADP
ispiv-189	135	9	the	the	DET
ispiv-189	135	10	beam	beam	NOUN
ispiv-189	135	11	shown	show	VERB
ispiv-189	135	12	in	in	ADP
ispiv-189	135	13	figure	figure	NOUN
ispiv-189	135	14	1(a	1(a	NUM
ispiv-189	135	15	)	)	PUNCT
ispiv-189	135	16	,	,	PUNCT
ispiv-189	135	17	while	while	SCONJ
ispiv-189	135	18	the	the	DET
ispiv-189	135	19	mixed	mixed	ADJ
ispiv-189	135	20	condition	condition	NOUN
ispiv-189	135	21	would	would	AUX
ispiv-189	135	22	be	be	AUX
ispiv-189	135	23	equivalent	equivalent	ADJ
ispiv-189	135	24	to	to	PART
ispiv-189	135	25	figure	figure	VERB
ispiv-189	135	26	1(b	1(b	NUM
ispiv-189	135	27	)	)	PUNCT
ispiv-189	135	28	.	.	PUNCT
ispiv-189	136	1	the	the	DET
ispiv-189	136	2	beam	beam	NOUN
ispiv-189	136	3	shown	show	VERB
ispiv-189	136	4	in	in	ADP
ispiv-189	136	5	figure	figure	NOUN
ispiv-189	136	6	1(a	1(a	NUM
ispiv-189	136	7	)	)	PUNCT
ispiv-189	136	8	would	would	AUX
ispiv-189	136	9	deflect	deflect	VERB
ispiv-189	136	10	the	the	DET
ispiv-189	136	11	most	most	ADJ
ispiv-189	136	12	when	when	SCONJ
ispiv-189	136	13	the	the	DET
ispiv-189	136	14	moment	moment	NOUN
ispiv-189	136	15	was	be	AUX
ispiv-189	136	16	applied	apply	VERB
ispiv-189	136	17	to	to	ADP
ispiv-189	136	18	its	its	PRON
ispiv-189	136	19	center	center	NOUN
ispiv-189	136	20	,	,	PUNCT
ispiv-189	136	21	just	just	ADV
ispiv-189	136	22	as	as	SCONJ
ispiv-189	136	23	the	the	DET
ispiv-189	136	24	error	error	NOUN
ispiv-189	136	25	is	be	AUX
ispiv-189	136	26	maximized	maximize	VERB
ispiv-189	136	27	for	for	ADP
ispiv-189	136	28	the	the	DET
ispiv-189	136	29	pure	pure	ADJ
ispiv-189	136	30	dirichlet	dirichlet	NOUN
ispiv-189	136	31	condition	condition	NOUN
ispiv-189	136	32	with	with	ADP
ispiv-189	136	33	error	error	NOUN
ispiv-189	136	34	at	at	ADP
ispiv-189	136	35	x0	x0	PROPN
ispiv-189	136	36	=	=	SYM
ispiv-189	136	37	1/2	1/2	NUM
ispiv-189	136	38	.	.	PUNCT
ispiv-189	137	1	the	the	DET
ispiv-189	137	2	beam	beam	NOUN
ispiv-189	137	3	in	in	ADP
ispiv-189	137	4	figure	figure	NOUN
ispiv-189	137	5	1(b	1(b	NUM
ispiv-189	137	6	)	)	PUNCT
ispiv-189	137	7	would	would	AUX
ispiv-189	137	8	deflect	deflect	VERB
ispiv-189	137	9	the	the	DET
ispiv-189	137	10	most	most	ADJ
ispiv-189	137	11	for	for	ADP
ispiv-189	137	12	an	an	DET
ispiv-189	137	13	error	error	NOUN
ispiv-189	137	14	next	next	ADV
ispiv-189	137	15	to	to	ADP
ispiv-189	137	16	the	the	DET
ispiv-189	137	17	free	free	ADJ
ispiv-189	137	18	support	support	NOUN
ispiv-189	137	19	,	,	PUNCT
ispiv-189	137	20	just	just	ADV
ispiv-189	137	21	as	as	SCONJ
ispiv-189	137	22	the	the	DET
ispiv-189	137	23	mixed	mixed	ADJ
ispiv-189	137	24	boundary	boundary	ADJ
ispiv-189	137	25	condition	condition	NOUN
ispiv-189	137	26	has	have	VERB
ispiv-189	137	27	the	the	DET
ispiv-189	137	28	greatest	great	ADJ
ispiv-189	137	29	error	error	NOUN
ispiv-189	137	30	for	for	ADP
ispiv-189	137	31	x0	x0	PROPN
ispiv-189	137	32	=	=	SYM
ispiv-189	137	33	2/3	2/3	NUM
ispiv-189	137	34	.	.	PUNCT
ispiv-189	138	1	finally	finally	ADV
ispiv-189	138	2	,	,	PUNCT
ispiv-189	138	3	the	the	DET
ispiv-189	138	4	beam	beam	NOUN
ispiv-189	138	5	in	in	ADP
ispiv-189	138	6	figure	figure	NOUN
ispiv-189	138	7	1(b	1(b	NUM
ispiv-189	138	8	)	)	PUNCT
ispiv-189	138	9	would	would	AUX
ispiv-189	138	10	deflect	deflect	VERB
ispiv-189	138	11	much	much	ADV
ispiv-189	138	12	more	more	ADJ
ispiv-189	138	13	than	than	ADP
ispiv-189	138	14	the	the	DET
ispiv-189	138	15	beam	beam	NOUN
ispiv-189	138	16	in	in	ADP
ispiv-189	138	17	figure	figure	NOUN
ispiv-189	138	18	1(a	1(a	NUM
ispiv-189	138	19	)	)	PUNCT
ispiv-189	138	20	for	for	ADP
ispiv-189	138	21	an	an	DET
ispiv-189	138	22	equivalent	equivalent	ADJ
ispiv-189	138	23	moment	moment	NOUN
ispiv-189	138	24	,	,	PUNCT
ispiv-189	138	25	since	since	SCONJ
ispiv-189	138	26	its	its	PRON
ispiv-189	138	27	free	free	ADJ
ispiv-189	138	28	end	end	NOUN
ispiv-189	138	29	allows	allow	VERB
ispiv-189	138	30	more	more	ADJ
ispiv-189	138	31	movement	movement	NOUN
ispiv-189	138	32	and	and	CCONJ
ispiv-189	138	33	provides	provide	VERB
ispiv-189	138	34	less	less	ADJ
ispiv-189	138	35	support	support	NOUN
ispiv-189	138	36	than	than	ADP
ispiv-189	138	37	the	the	DET
ispiv-189	138	38	two	two	NUM
ispiv-189	138	39	“	"	PUNCT
ispiv-189	138	40	fixed	fix	VERB
ispiv-189	138	41	”	"	PUNCT
ispiv-189	138	42	supports	support	NOUN
ispiv-189	138	43	.	.	PUNCT
ispiv-189	139	1	this	this	DET
ispiv-189	139	2	effect	effect	NOUN
ispiv-189	139	3	of	of	ADP
ispiv-189	139	4	dirichlet	dirichlet	PROPN
ispiv-189	139	5	and	and	CCONJ
ispiv-189	139	6	neumann	neumann	PROPN
ispiv-189	139	7	boundaries	boundary	NOUN
ispiv-189	139	8	on	on	ADP
ispiv-189	139	9	error	error	NOUN
ispiv-189	139	10	propagation	propagation	NOUN
ispiv-189	139	11	is	be	AUX
ispiv-189	139	12	also	also	ADV
ispiv-189	139	13	present	present	ADJ
ispiv-189	139	14	in	in	ADP
ispiv-189	139	15	2	2	NUM
ispiv-189	139	16	dimensions	dimension	NOUN
ispiv-189	139	17	.	.	PUNCT
ispiv-189	140	1	the	the	DET
ispiv-189	140	2	error	error	NOUN
ispiv-189	140	3	sensitivity	sensitivity	NOUN
ispiv-189	140	4	can	can	AUX
ispiv-189	140	5	again	again	ADV
ispiv-189	140	6	be	be	AUX
ispiv-189	140	7	examined	examine	VERB
ispiv-189	140	8	using	use	VERB
ispiv-189	140	9	a	a	DET
ispiv-189	140	10	pulse	pulse	NOUN
ispiv-189	140	11	function	function	NOUN
ispiv-189	140	12	of	of	ADP
ispiv-189	140	13	the	the	DET
ispiv-189	140	14	form	form	NOUN
ispiv-189	140	15	:	:	PUNCT
ispiv-189	141	1	ε	ε	PROPN
ispiv-189	141	2	f	f	NOUN
ispiv-189	141	3	=	=	SYM
ispiv-189	141	4	δπ(xxx−	δπ(xxx−	PROPN
ispiv-189	141	5	xxx000	xxx000	PROPN
ispiv-189	141	6	)	)	PUNCT
ispiv-189	141	7	=	=	PRON
ispiv-189	141	8	{	{	PUNCT
ispiv-189	141	9	2√	2√	PROPN
ispiv-189	141	10	ππ	ππ	NOUN
ispiv-189	141	11	,	,	PUNCT
ispiv-189	141	12	|xxx−	|xxx−	NOUN
ispiv-189	141	13	xxx000|	xxx000|	PUNCT
ispiv-189	141	14	≤	≤	NUM
ispiv-189	142	1	π	π	X
ispiv-189	142	2	2	2	NUM
ispiv-189	142	3	0	0	NUM
ispiv-189	142	4	,	,	PUNCT
ispiv-189	142	5	|xxx−	|xxx−	NOUN
ispiv-189	142	6	xxx000|	xxx000|	PROPN
ispiv-189	142	7	>	>	X
ispiv-189	142	8	π	π	PROPN
ispiv-189	142	9	2	2	NUM
ispiv-189	142	10	,	,	PUNCT
ispiv-189	142	11	(	(	PUNCT
ispiv-189	142	12	19	19	NUM
ispiv-189	142	13	)	)	PUNCT
ispiv-189	142	14	where	where	SCONJ
ispiv-189	142	15	xxx000	xxx000	PROPN
ispiv-189	142	16	=	=	PRON
ispiv-189	142	17	(	(	PUNCT
ispiv-189	142	18	x0,y0	x0,y0	PROPN
ispiv-189	142	19	)	)	PUNCT
ispiv-189	142	20	is	be	AUX
ispiv-189	142	21	the	the	DET
ispiv-189	142	22	coordinate	coordinate	NOUN
ispiv-189	142	23	of	of	ADP
ispiv-189	142	24	the	the	DET
ispiv-189	142	25	center	center	NOUN
ispiv-189	142	26	of	of	ADP
ispiv-189	142	27	the	the	DET
ispiv-189	142	28	concentrated	concentrate	VERB
ispiv-189	142	29	error	error	NOUN
ispiv-189	142	30	.	.	PUNCT
ispiv-189	143	1	(	(	PUNCT
ispiv-189	143	2	a	a	X
ispiv-189	143	3	)	)	PUNCT
ispiv-189	143	4	(	(	PUNCT
ispiv-189	143	5	b	b	X
ispiv-189	143	6	)	)	PUNCT
ispiv-189	143	7	log10(ar	log10(ar	PROPN
ispiv-189	143	8	)	)	PUNCT
ispiv-189	143	9	(	(	PUNCT
ispiv-189	143	10	a	a	X
ispiv-189	143	11	)	)	PUNCT
ispiv-189	143	12	(	(	PUNCT
ispiv-189	143	13	b	b	X
ispiv-189	143	14	)	)	PUNCT
ispiv-189	143	15	(	(	PUNCT
ispiv-189	143	16	c)log10(ar	c)log10(ar	NOUN
ispiv-189	143	17	)	)	PUNCT
ispiv-189	143	18	log10(ar	log10(ar	PART
ispiv-189	143	19	)	)	PUNCT
ispiv-189	143	20	figure	figure	VERB
ispiv-189	143	21	3	3	NUM
ispiv-189	143	22	:	:	PUNCT
ispiv-189	143	23	error	error	NOUN
ispiv-189	143	24	amplification	amplification	NOUN
ispiv-189	143	25	ratio	ratio	NOUN
ispiv-189	143	26	ar(x0,y0	ar(x0,y0	PROPN
ispiv-189	143	27	)	)	PUNCT
ispiv-189	143	28	responding	respond	VERB
ispiv-189	143	29	to	to	ADP
ispiv-189	143	30	concentrated	concentrate	VERB
ispiv-189	143	31	error	error	NOUN
ispiv-189	143	32	located	locate	VERB
ispiv-189	143	33	at	at	ADP
ispiv-189	143	34	xxx000	xxx000	PROPN
ispiv-189	143	35	=	=	SYM
ispiv-189	143	36	(	(	PUNCT
ispiv-189	143	37	x0,y0	x0,y0	PROPN
ispiv-189	143	38	)	)	PUNCT
ispiv-189	143	39	for	for	ADP
ispiv-189	143	40	domains	domain	NOUN
ispiv-189	143	41	with	with	ADP
ispiv-189	143	42	(	(	PUNCT
ispiv-189	143	43	a	a	X
ispiv-189	143	44	)	)	PUNCT
ispiv-189	143	45	pure	pure	ADJ
ispiv-189	143	46	dirichlet	dirichlet	NOUN
ispiv-189	143	47	boundaries	boundary	NOUN
ispiv-189	143	48	and	and	CCONJ
ispiv-189	143	49	(	(	PUNCT
ispiv-189	143	50	b	b	NOUN
ispiv-189	143	51	)	)	PUNCT
ispiv-189	143	52	&	&	CCONJ
ispiv-189	143	53	(	(	PUNCT
ispiv-189	143	54	c	c	NOUN
ispiv-189	143	55	)	)	PUNCT
ispiv-189	143	56	mixed	mixed	ADJ
ispiv-189	143	57	boundaries	boundary	NOUN
ispiv-189	143	58	,	,	PUNCT
ispiv-189	143	59	respectively	respectively	ADV
ispiv-189	143	60	.	.	PUNCT
ispiv-189	144	1	dirichlet	dirichlet	PROPN
ispiv-189	144	2	boundaries	boundary	NOUN
ispiv-189	144	3	are	be	AUX
ispiv-189	144	4	marked	mark	VERB
ispiv-189	144	5	by	by	ADP
ispiv-189	144	6	green	green	ADJ
ispiv-189	144	7	solid	solid	ADJ
ispiv-189	144	8	lines	line	NOUN
ispiv-189	144	9	in	in	ADP
ispiv-189	144	10	(	(	PUNCT
ispiv-189	144	11	a	a	NOUN
ispiv-189	144	12	)	)	PUNCT
ispiv-189	144	13	&	&	CCONJ
ispiv-189	144	14	(	(	PUNCT
ispiv-189	144	15	b	b	NOUN
ispiv-189	144	16	)	)	PUNCT
ispiv-189	144	17	,	,	PUNCT
ispiv-189	144	18	and	and	CCONJ
ispiv-189	144	19	the	the	DET
ispiv-189	144	20	green	green	ADJ
ispiv-189	144	21	dot	dot	NOUN
ispiv-189	144	22	in	in	ADP
ispiv-189	144	23	(	(	PUNCT
ispiv-189	144	24	c	c	NOUN
ispiv-189	144	25	)	)	PUNCT
ispiv-189	144	26	.	.	PUNCT
ispiv-189	145	1	neumann	neumann	PROPN
ispiv-189	145	2	boundaries	boundary	NOUN
ispiv-189	145	3	are	be	AUX
ispiv-189	145	4	marked	mark	VERB
ispiv-189	145	5	by	by	ADP
ispiv-189	145	6	orange	orange	PROPN
ispiv-189	145	7	dashed	dash	VERB
ispiv-189	145	8	lines	line	NOUN
ispiv-189	145	9	.	.	PUNCT
ispiv-189	146	1	figure	figure	VERB
ispiv-189	146	2	3	3	NUM
ispiv-189	146	3	shows	show	VERB
ispiv-189	146	4	the	the	DET
ispiv-189	146	5	error	error	NOUN
ispiv-189	146	6	sensitivity	sensitivity	NOUN
ispiv-189	146	7	map	map	NOUN
ispiv-189	146	8	on	on	ADP
ispiv-189	146	9	a	a	DET
ispiv-189	146	10	1×1	1×1	ADJ
ispiv-189	146	11	domain	domain	NOUN
ispiv-189	146	12	for	for	ADP
ispiv-189	146	13	three	three	NUM
ispiv-189	146	14	distinct	distinct	ADJ
ispiv-189	146	15	bc	bc	PROPN
ispiv-189	146	16	configurations	configuration	NOUN
ispiv-189	146	17	,	,	PUNCT
ispiv-189	146	18	where	where	SCONJ
ispiv-189	146	19	ar(x0,y0	ar(x0,y0	NOUN
ispiv-189	146	20	)	)	PUNCT
ispiv-189	146	21	is	be	AUX
ispiv-189	146	22	a	a	DET
ispiv-189	146	23	function	function	NOUN
ispiv-189	146	24	of	of	ADP
ispiv-189	146	25	the	the	DET
ispiv-189	146	26	location	location	NOUN
ispiv-189	146	27	of	of	ADP
ispiv-189	146	28	the	the	DET
ispiv-189	146	29	concentrated	concentrate	VERB
ispiv-189	146	30	error	error	NOUN
ispiv-189	146	31	source	source	NOUN
ispiv-189	146	32	as	as	ADP
ispiv-189	146	33	illustrated	illustrate	VERB
ispiv-189	146	34	.	.	PUNCT
ispiv-189	147	1	the	the	DET
ispiv-189	147	2	concentrated	concentrate	VERB
ispiv-189	147	3	error	error	NOUN
ispiv-189	147	4	source	source	NOUN
ispiv-189	147	5	is	be	AUX
ispiv-189	147	6	constructed	construct	VERB
ispiv-189	147	7	using	use	VERB
ispiv-189	147	8	(	(	PUNCT
ispiv-189	147	9	19	19	NUM
ispiv-189	147	10	)	)	PUNCT
ispiv-189	147	11	with	with	ADP
ispiv-189	147	12	a	a	DET
ispiv-189	147	13	width	width	NOUN
ispiv-189	147	14	of	of	ADP
ispiv-189	147	15	π	π	PROPN
ispiv-189	147	16	=	=	SYM
ispiv-189	147	17	0.02/	0.02/	NUM
ispiv-189	147	18	√	√	NUM
ispiv-189	147	19	|ω|	|ω|	PROPN
ispiv-189	147	20	.	.	PUNCT
ispiv-189	148	1	we	we	PRON
ispiv-189	148	2	again	again	ADV
ispiv-189	148	3	show	show	VERB
ispiv-189	148	4	that	that	SCONJ
ispiv-189	148	5	error	error	NOUN
ispiv-189	148	6	near	near	ADP
ispiv-189	148	7	a	a	DET
ispiv-189	148	8	dirichlet	dirichlet	PROPN
ispiv-189	148	9	boundary	boundary	NOUN
ispiv-189	148	10	is	be	AUX
ispiv-189	148	11	less	less	ADV
ispiv-189	148	12	sensitive	sensitive	ADJ
ispiv-189	148	13	in	in	ADP
ispiv-189	148	14	terms	term	NOUN
ispiv-189	148	15	of	of	ADP
ispiv-189	148	16	error	error	NOUN
ispiv-189	148	17	propagation	propagation	NOUN
ispiv-189	148	18	,	,	PUNCT
ispiv-189	148	19	while	while	SCONJ
ispiv-189	148	20	the	the	DET
ispiv-189	148	21	error	error	NOUN
ispiv-189	148	22	near	near	ADP
ispiv-189	148	23	a	a	DET
ispiv-189	148	24	neumann	neumann	PROPN
ispiv-189	148	25	boundary	boundary	NOUN
ispiv-189	148	26	and/or	and/or	CCONJ
ispiv-189	148	27	far	far	ADV
ispiv-189	148	28	away	away	ADV
ispiv-189	148	29	from	from	ADP
ispiv-189	148	30	a	a	DET
ispiv-189	148	31	dirichlet	dirichlet	PROPN
ispiv-189	148	32	boundary	boundary	NOUN
ispiv-189	148	33	is	be	AUX
ispiv-189	148	34	more	more	ADV
ispiv-189	148	35	dangerous	dangerous	ADJ
ispiv-189	148	36	.	.	PUNCT
ispiv-189	149	1	in	in	ADP
ispiv-189	149	2	figure	figure	NOUN
ispiv-189	149	3	3(a	3(a	NUM
ispiv-189	149	4	)	)	PUNCT
ispiv-189	149	5	,	,	PUNCT
ispiv-189	149	6	ar	ar	PROPN
ispiv-189	149	7	is	be	AUX
ispiv-189	149	8	lowest	low	ADJ
ispiv-189	149	9	around	around	ADP
ispiv-189	149	10	the	the	DET
ispiv-189	149	11	edges	edge	NOUN
ispiv-189	149	12	of	of	ADP
ispiv-189	149	13	the	the	DET
ispiv-189	149	14	domain	domain	NOUN
ispiv-189	149	15	where	where	SCONJ
ispiv-189	149	16	dirichlet	dirichlet	PROPN
ispiv-189	149	17	boundaries	boundary	NOUN
ispiv-189	149	18	are	be	AUX
ispiv-189	149	19	present	present	ADJ
ispiv-189	149	20	,	,	PUNCT
ispiv-189	149	21	while	while	SCONJ
ispiv-189	149	22	ar	ar	NOUN
ispiv-189	149	23	is	be	AUX
ispiv-189	149	24	largest	large	ADJ
ispiv-189	149	25	in	in	ADP
ispiv-189	149	26	the	the	DET
ispiv-189	149	27	center	center	NOUN
ispiv-189	149	28	of	of	ADP
ispiv-189	149	29	the	the	DET
ispiv-189	149	30	domain	domain	NOUN
ispiv-189	149	31	,	,	PUNCT
ispiv-189	149	32	far	far	ADV
ispiv-189	149	33	from	from	ADP
ispiv-189	149	34	the	the	DET
ispiv-189	149	35	dirichlet	dirichlet	PROPN
ispiv-189	149	36	boundaries	boundary	NOUN
ispiv-189	149	37	.	.	PUNCT
ispiv-189	150	1	in	in	ADP
ispiv-189	150	2	figure	figure	NOUN
ispiv-189	150	3	3(b	3(b	NUM
ispiv-189	150	4	)	)	PUNCT
ispiv-189	150	5	,	,	PUNCT
ispiv-189	150	6	ar	ar	PROPN
ispiv-189	150	7	is	be	AUX
ispiv-189	150	8	again	again	ADV
ispiv-189	150	9	low	low	ADJ
ispiv-189	150	10	near	near	ADP
ispiv-189	150	11	the	the	DET
ispiv-189	150	12	dirichlet	dirichlet	PROPN
ispiv-189	150	13	boundaries	boundary	NOUN
ispiv-189	150	14	,	,	PUNCT
ispiv-189	150	15	but	but	CCONJ
ispiv-189	150	16	increases	increase	NOUN
ispiv-189	150	17	along	along	ADP
ispiv-189	150	18	the	the	DET
ispiv-189	150	19	neumann	neumann	PROPN
ispiv-189	150	20	edges	edge	NOUN
ispiv-189	150	21	.	.	PUNCT
ispiv-189	151	1	ar	ar	PROPN
ispiv-189	151	2	is	be	AUX
ispiv-189	151	3	highest	high	ADJ
ispiv-189	151	4	at	at	ADP
ispiv-189	151	5	the	the	DET
ispiv-189	151	6	center	center	NOUN
ispiv-189	151	7	of	of	ADP
ispiv-189	151	8	the	the	DET
ispiv-189	151	9	neumann	neumann	PROPN
ispiv-189	151	10	boundary	boundary	PROPN
ispiv-189	151	11	where	where	SCONJ
ispiv-189	151	12	proximity	proximity	NOUN
ispiv-189	151	13	to	to	ADP
ispiv-189	151	14	a	a	DET
ispiv-189	151	15	neumann	neumann	PROPN
ispiv-189	151	16	boundary	boundary	NOUN
ispiv-189	151	17	is	be	AUX
ispiv-189	151	18	maximized	maximize	VERB
ispiv-189	151	19	while	while	SCONJ
ispiv-189	151	20	proximity	proximity	NOUN
ispiv-189	151	21	to	to	ADP
ispiv-189	151	22	a	a	DET
ispiv-189	151	23	dirichlet	dirichlet	PROPN
ispiv-189	151	24	boundary	boundary	NOUN
ispiv-189	151	25	is	be	AUX
ispiv-189	151	26	minimized	minimize	VERB
ispiv-189	151	27	.	.	PUNCT
ispiv-189	152	1	finally	finally	ADV
ispiv-189	152	2	,	,	PUNCT
ispiv-189	152	3	in	in	ADP
ispiv-189	152	4	figure	figure	NOUN
ispiv-189	152	5	3(c	3(c	NUM
ispiv-189	152	6	)	)	PUNCT
ispiv-189	152	7	,	,	PUNCT
ispiv-189	152	8	ar	ar	PROPN
ispiv-189	152	9	is	be	AUX
ispiv-189	152	10	high	high	ADJ
ispiv-189	152	11	everywhere	everywhere	ADV
ispiv-189	152	12	in	in	ADP
ispiv-189	152	13	the	the	DET
ispiv-189	152	14	domain	domain	NOUN
ispiv-189	152	15	except	except	SCONJ
ispiv-189	152	16	for	for	ADP
ispiv-189	152	17	the	the	DET
ispiv-189	152	18	region	region	NOUN
ispiv-189	152	19	near	near	ADP
ispiv-189	152	20	xxx000	xxx000	PROPN
ispiv-189	152	21	=	=	SYM
ispiv-189	152	22	(	(	PUNCT
ispiv-189	152	23	0,0	0,0	NOUN
ispiv-189	152	24	)	)	PUNCT
ispiv-189	152	25	,	,	PUNCT
ispiv-189	152	26	where	where	SCONJ
ispiv-189	152	27	ar	ar	NOUN
ispiv-189	152	28	is	be	AUX
ispiv-189	152	29	tamed	tame	VERB
ispiv-189	152	30	by	by	ADP
ispiv-189	152	31	the	the	DET
ispiv-189	152	32	presence	presence	NOUN
ispiv-189	152	33	of	of	ADP
ispiv-189	152	34	a	a	DET
ispiv-189	152	35	dirichlet	dirichlet	PROPN
ispiv-189	152	36	boundary	boundary	NOUN
ispiv-189	152	37	.	.	PUNCT
ispiv-189	153	1	we	we	PRON
ispiv-189	153	2	now	now	ADV
ispiv-189	153	3	finalize	finalize	VERB
ispiv-189	153	4	the	the	DET
ispiv-189	153	5	analogy	analogy	NOUN
ispiv-189	153	6	between	between	ADP
ispiv-189	153	7	the	the	DET
ispiv-189	153	8	deformation	deformation	NOUN
ispiv-189	153	9	of	of	ADP
ispiv-189	153	10	elastic	elastic	ADJ
ispiv-189	153	11	plates	plate	NOUN
ispiv-189	153	12	and	and	CCONJ
ispiv-189	153	13	the	the	DET
ispiv-189	153	14	v	v	NOUN
ispiv-189	153	15	-	-	PUNCT
ispiv-189	153	16	pressure	pressure	NOUN
ispiv-189	153	17	error	error	NOUN
ispiv-189	153	18	propagation	propagation	NOUN
ispiv-189	153	19	.	.	PUNCT
ispiv-189	154	1	the	the	DET
ispiv-189	154	2	behavior	behavior	NOUN
ispiv-189	154	3	of	of	ADP
ispiv-189	154	4	error	error	NOUN
ispiv-189	154	5	near	near	ADP
ispiv-189	154	6	boundary	boundary	ADJ
ispiv-189	154	7	conditions	condition	NOUN
ispiv-189	154	8	can	can	AUX
ispiv-189	154	9	be	be	AUX
ispiv-189	154	10	thought	think	VERB
ispiv-189	154	11	of	of	ADP
ispiv-189	154	12	intuitively	intuitively	ADV
ispiv-189	154	13	using	use	VERB
ispiv-189	154	14	the	the	DET
ispiv-189	154	15	analogy	analogy	NOUN
ispiv-189	154	16	to	to	ADP
ispiv-189	154	17	a	a	DET
ispiv-189	154	18	bending	bend	VERB
ispiv-189	154	19	beam	beam	NOUN
ispiv-189	154	20	in	in	ADP
ispiv-189	154	21	1d	1d	NUM
ispiv-189	154	22	or	or	CCONJ
ispiv-189	154	23	plate	plate	NOUN
ispiv-189	154	24	in	in	ADP
ispiv-189	154	25	2d	2d	NOUN
ispiv-189	154	26	.	.	PUNCT
ispiv-189	155	1	an	an	DET
ispiv-189	155	2	accurate	accurate	ADJ
ispiv-189	155	3	dirichlet	dirichlet	PROPN
ispiv-189	155	4	boundary	boundary	NOUN
ispiv-189	155	5	on	on	ADP
ispiv-189	155	6	the	the	DET
ispiv-189	155	7	v	v	NOUN
ispiv-189	155	8	-	-	PUNCT
ispiv-189	155	9	pressure	pressure	NOUN
ispiv-189	155	10	domain	domain	NOUN
ispiv-189	155	11	is	be	AUX
ispiv-189	155	12	analogous	analogous	ADJ
ispiv-189	155	13	to	to	ADP
ispiv-189	155	14	a	a	DET
ispiv-189	155	15	simply	simply	ADV
ispiv-189	155	16	supported	support	VERB
ispiv-189	155	17	edge	edge	NOUN
ispiv-189	155	18	on	on	ADP
ispiv-189	155	19	a	a	DET
ispiv-189	155	20	plate	plate	NOUN
ispiv-189	155	21	which	which	PRON
ispiv-189	155	22	constrains	constrain	VERB
ispiv-189	155	23	the	the	DET
ispiv-189	155	24	deflection	deflection	NOUN
ispiv-189	155	25	to	to	PART
ispiv-189	155	26	be	be	AUX
ispiv-189	155	27	vanishing	vanish	VERB
ispiv-189	155	28	at	at	ADP
ispiv-189	155	29	the	the	DET
ispiv-189	155	30	boundary	boundary	NOUN
ispiv-189	155	31	.	.	PUNCT
ispiv-189	156	1	we	we	PRON
ispiv-189	156	2	recall	recall	VERB
ispiv-189	156	3	that	that	SCONJ
ispiv-189	156	4	loads	load	NOUN
ispiv-189	156	5	applied	apply	VERB
ispiv-189	156	6	next	next	ADV
ispiv-189	156	7	to	to	ADP
ispiv-189	156	8	a	a	DET
ispiv-189	156	9	simply	simply	ADV
ispiv-189	156	10	supported	support	VERB
ispiv-189	156	11	edge	edge	NOUN
ispiv-189	156	12	can	can	AUX
ispiv-189	156	13	not	not	PART
ispiv-189	156	14	deflect	deflect	VERB
ispiv-189	156	15	the	the	DET
ispiv-189	156	16	plate	plate	NOUN
ispiv-189	156	17	much	much	ADJ
ispiv-189	156	18	due	due	ADP
ispiv-189	156	19	to	to	ADP
ispiv-189	156	20	the	the	DET
ispiv-189	156	21	relatively	relatively	ADV
ispiv-189	156	22	‘	'	PUNCT
ispiv-189	156	23	firm	firm	ADJ
ispiv-189	156	24	’	'	PUNCT
ispiv-189	156	25	support	support	NOUN
ispiv-189	156	26	nearby	nearby	ADV
ispiv-189	156	27	.	.	PUNCT
ispiv-189	157	1	however	however	ADV
ispiv-189	157	2	,	,	PUNCT
ispiv-189	157	3	as	as	SCONJ
ispiv-189	157	4	we	we	PRON
ispiv-189	157	5	move	move	VERB
ispiv-189	157	6	away	away	ADV
ispiv-189	157	7	from	from	ADP
ispiv-189	157	8	this	this	DET
ispiv-189	157	9	firm	firm	ADJ
ispiv-189	157	10	support	support	NOUN
ispiv-189	157	11	,	,	PUNCT
ispiv-189	157	12	the	the	DET
ispiv-189	157	13	plate	plate	NOUN
ispiv-189	157	14	becomes	become	VERB
ispiv-189	157	15	easier	easy	ADJ
ispiv-189	157	16	to	to	PART
ispiv-189	157	17	bend	bend	VERB
ispiv-189	157	18	.	.	PUNCT
ispiv-189	158	1	in	in	ADP
ispiv-189	158	2	contrast	contrast	NOUN
ispiv-189	158	3	,	,	PUNCT
ispiv-189	158	4	an	an	DET
ispiv-189	158	5	accurate	accurate	ADJ
ispiv-189	158	6	neumann	neumann	PROPN
ispiv-189	158	7	boundary	boundary	NOUN
ispiv-189	158	8	on	on	ADP
ispiv-189	158	9	the	the	DET
ispiv-189	158	10	v	v	NOUN
ispiv-189	158	11	-	-	PUNCT
ispiv-189	158	12	pressure	pressure	NOUN
ispiv-189	158	13	domain	domain	NOUN
ispiv-189	158	14	is	be	AUX
ispiv-189	158	15	analogous	analogous	ADJ
ispiv-189	158	16	to	to	ADP
ispiv-189	158	17	a	a	DET
ispiv-189	158	18	sliding	slide	VERB
ispiv-189	158	19	support	support	NOUN
ispiv-189	158	20	which	which	PRON
ispiv-189	158	21	allows	allow	VERB
ispiv-189	158	22	any	any	DET
ispiv-189	158	23	amount	amount	NOUN
ispiv-189	158	24	of	of	ADP
ispiv-189	158	25	deflection	deflection	NOUN
ispiv-189	158	26	but	but	CCONJ
ispiv-189	158	27	constrains	constrain	VERB
ispiv-189	158	28	the	the	DET
ispiv-189	158	29	local	local	ADJ
ispiv-189	158	30	slope	slope	NOUN
ispiv-189	158	31	to	to	PART
ispiv-189	158	32	be	be	AUX
ispiv-189	158	33	zero	zero	NUM
ispiv-189	158	34	.	.	PUNCT
ispiv-189	159	1	a	a	DET
ispiv-189	159	2	moment	moment	NOUN
ispiv-189	159	3	applied	apply	VERB
ispiv-189	159	4	near	near	ADP
ispiv-189	159	5	this	this	DET
ispiv-189	159	6	boundary	boundary	NOUN
ispiv-189	159	7	will	will	AUX
ispiv-189	159	8	deform	deform	VERB
ispiv-189	159	9	a	a	DET
ispiv-189	159	10	large	large	ADJ
ispiv-189	159	11	segment	segment	NOUN
ispiv-189	159	12	of	of	ADP
ispiv-189	159	13	the	the	DET
ispiv-189	159	14	plate	plate	NOUN
ispiv-189	159	15	;	;	PUNCT
ispiv-189	159	16	due	due	ADP
ispiv-189	159	17	to	to	ADP
ispiv-189	159	18	the	the	DET
ispiv-189	159	19	constraint	constraint	NOUN
ispiv-189	159	20	on	on	ADP
ispiv-189	159	21	the	the	DET
ispiv-189	159	22	slope	slope	NOUN
ispiv-189	159	23	of	of	ADP
ispiv-189	159	24	the	the	DET
ispiv-189	159	25	plate	plate	NOUN
ispiv-189	159	26	at	at	ADP
ispiv-189	159	27	this	this	DET
ispiv-189	159	28	boundary	boundary	NOUN
ispiv-189	159	29	,	,	PUNCT
ispiv-189	159	30	the	the	DET
ispiv-189	159	31	sliding	slide	VERB
ispiv-189	159	32	mechanism	mechanism	NOUN
ispiv-189	159	33	will	will	AUX
ispiv-189	159	34	‘	'	PUNCT
ispiv-189	159	35	pull	pull	VERB
ispiv-189	159	36	’	'	PUNCT
ispiv-189	159	37	on	on	ADP
ispiv-189	159	38	other	other	ADJ
ispiv-189	159	39	sections	section	NOUN
ispiv-189	159	40	of	of	ADP
ispiv-189	159	41	the	the	DET
ispiv-189	159	42	plate	plate	NOUN
ispiv-189	159	43	and	and	CCONJ
ispiv-189	159	44	bring	bring	VERB
ispiv-189	159	45	them	they	PRON
ispiv-189	159	46	along	along	ADP
ispiv-189	159	47	with	with	ADP
ispiv-189	159	48	the	the	DET
ispiv-189	159	49	loaded	load	VERB
ispiv-189	159	50	section	section	NOUN
ispiv-189	159	51	.	.	PUNCT
ispiv-189	160	1	long	long	ADJ
ispiv-189	160	2	neumann	neumann	PROPN
ispiv-189	160	3	boundaries	boundary	NOUN
ispiv-189	160	4	are	be	AUX
ispiv-189	160	5	more	more	ADJ
ispiv-189	160	6	‘	'	PUNCT
ispiv-189	160	7	dangerous	dangerous	ADJ
ispiv-189	160	8	’	'	PUNCT
ispiv-189	160	9	than	than	ADP
ispiv-189	160	10	short	short	ADJ
ispiv-189	160	11	ones	one	NOUN
ispiv-189	160	12	,	,	PUNCT
ispiv-189	160	13	as	as	SCONJ
ispiv-189	160	14	this	this	DET
ispiv-189	160	15	effect	effect	NOUN
ispiv-189	160	16	is	be	AUX
ispiv-189	160	17	carried	carry	VERB
ispiv-189	160	18	out	out	ADP
ispiv-189	160	19	over	over	ADP
ispiv-189	160	20	a	a	DET
ispiv-189	160	21	longer	long	ADJ
ispiv-189	160	22	distance	distance	NOUN
ispiv-189	160	23	.	.	PUNCT
ispiv-189	161	1	these	these	DET
ispiv-189	161	2	observations	observation	NOUN
ispiv-189	161	3	about	about	ADP
ispiv-189	161	4	the	the	DET
ispiv-189	161	5	effect	effect	NOUN
ispiv-189	161	6	of	of	ADP
ispiv-189	161	7	the	the	DET
ispiv-189	161	8	distance	distance	NOUN
ispiv-189	161	9	from	from	ADP
ispiv-189	161	10	an	an	DET
ispiv-189	161	11	error	error	NOUN
ispiv-189	161	12	source	source	NOUN
ispiv-189	161	13	to	to	ADP
ispiv-189	161	14	boundaries	boundary	NOUN
ispiv-189	161	15	with	with	ADP
ispiv-189	161	16	different	different	ADJ
ispiv-189	161	17	bcs	bc	NOUN
ispiv-189	161	18	can	can	AUX
ispiv-189	161	19	also	also	ADV
ispiv-189	161	20	be	be	AUX
ispiv-189	161	21	explained	explain	VERB
ispiv-189	161	22	using	use	VERB
ispiv-189	161	23	green	green	PROPN
ispiv-189	161	24	’s	’s	PART
ispiv-189	161	25	function	function	NOUN
ispiv-189	161	26	for	for	ADP
ispiv-189	161	27	the	the	DET
ispiv-189	161	28	poisson	poisson	NOUN
ispiv-189	161	29	equation	equation	NOUN
ispiv-189	161	30	.	.	PUNCT
ispiv-189	162	1	consider	consider	VERB
ispiv-189	162	2	,	,	PUNCT
ispiv-189	162	3	in	in	ADP
ispiv-189	162	4	2d	2d	NUM
ispiv-189	162	5	,	,	PUNCT
ispiv-189	162	6	a	a	DET
ispiv-189	162	7	concentrated	concentrate	VERB
ispiv-189	162	8	error	error	NOUN
ispiv-189	162	9	source	source	NOUN
ispiv-189	162	10	in	in	ADP
ispiv-189	162	11	the	the	DET
ispiv-189	162	12	data	data	NOUN
ispiv-189	162	13	field	field	NOUN
ispiv-189	162	14	taking	take	VERB
ispiv-189	162	15	the	the	DET
ispiv-189	162	16	form	form	NOUN
ispiv-189	162	17	of	of	ADP
ispiv-189	162	18	the	the	DET
ispiv-189	162	19	dirac	dirac	PROPN
ispiv-189	162	20	delta	delta	PROPN
ispiv-189	162	21	function	function	NOUN
ispiv-189	162	22	,	,	PUNCT
ispiv-189	162	23	ε	ε	PROPN
ispiv-189	162	24	f	f	PROPN
ispiv-189	162	25	=	=	SYM
ispiv-189	162	26	−δ(xxx000	−δ(xxx000	PROPN
ispiv-189	162	27	)	)	PUNCT
ispiv-189	162	28	,	,	PUNCT
ispiv-189	162	29	located	locate	VERB
ispiv-189	162	30	at	at	ADP
ispiv-189	162	31	xxx000	xxx000	PROPN
ispiv-189	162	32	=	=	SYM
ispiv-189	162	33	(	(	PUNCT
ispiv-189	162	34	x0,y0	x0,y0	PROPN
ispiv-189	162	35	)	)	PUNCT
ispiv-189	162	36	.	.	PUNCT
ispiv-189	163	1	the	the	DET
ispiv-189	163	2	error	error	NOUN
ispiv-189	163	3	in	in	ADP
ispiv-189	163	4	the	the	DET
ispiv-189	163	5	pressure	pressure	NOUN
ispiv-189	163	6	field	field	NOUN
ispiv-189	163	7	caused	cause	VERB
ispiv-189	163	8	by	by	ADP
ispiv-189	163	9	this	this	DET
ispiv-189	163	10	concentrated	concentrate	VERB
ispiv-189	163	11	error	error	NOUN
ispiv-189	163	12	source	source	NOUN
ispiv-189	163	13	is	be	AUX
ispiv-189	163	14	the	the	DET
ispiv-189	163	15	fundamental	fundamental	ADJ
ispiv-189	163	16	solution	solution	NOUN
ispiv-189	163	17	of	of	ADP
ispiv-189	163	18	the	the	DET
ispiv-189	163	19	poisson	poisson	NOUN
ispiv-189	163	20	equation	equation	NOUN
ispiv-189	163	21	given	give	VERB
ispiv-189	163	22	by	by	ADP
ispiv-189	163	23	the	the	DET
ispiv-189	163	24	green	green	PROPN
ispiv-189	163	25	’s	’s	PART
ispiv-189	163	26	function	function	NOUN
ispiv-189	163	27	.	.	PUNCT
ispiv-189	164	1	when	when	SCONJ
ispiv-189	164	2	the	the	DET
ispiv-189	164	3	distance	distance	NOUN
ispiv-189	164	4	from	from	ADP
ispiv-189	164	5	the	the	DET
ispiv-189	164	6	error	error	NOUN
ispiv-189	164	7	to	to	ADP
ispiv-189	164	8	a	a	DET
ispiv-189	164	9	nearby	nearby	ADJ
ispiv-189	164	10	boundary	boundary	NOUN
ispiv-189	164	11	is	be	AUX
ispiv-189	164	12	much	much	ADV
ispiv-189	164	13	shorter	short	ADJ
ispiv-189	164	14	than	than	ADP
ispiv-189	164	15	the	the	DET
ispiv-189	164	16	distance	distance	NOUN
ispiv-189	164	17	to	to	ADP
ispiv-189	164	18	any	any	DET
ispiv-189	164	19	other	other	ADJ
ispiv-189	164	20	other	other	ADJ
ispiv-189	164	21	boundaries	boundary	NOUN
ispiv-189	164	22	,	,	PUNCT
ispiv-189	164	23	the	the	DET
ispiv-189	164	24	local	local	ADJ
ispiv-189	164	25	error	error	NOUN
ispiv-189	164	26	near	near	ADP
ispiv-189	164	27	the	the	DET
ispiv-189	164	28	source	source	NOUN
ispiv-189	164	29	(	(	PUNCT
ispiv-189	164	30	and	and	CCONJ
ispiv-189	164	31	the	the	DET
ispiv-189	164	32	nearby	nearby	ADJ
ispiv-189	164	33	boundary	boundary	NOUN
ispiv-189	164	34	)	)	PUNCT
ispiv-189	164	35	can	can	AUX
ispiv-189	164	36	be	be	AUX
ispiv-189	164	37	approximated	approximate	VERB
ispiv-189	164	38	by	by	ADP
ispiv-189	164	39	the	the	DET
ispiv-189	164	40	green	green	PROPN
ispiv-189	164	41	’s	’s	PART
ispiv-189	164	42	function	function	NOUN
ispiv-189	164	43	on	on	ADP
ispiv-189	164	44	a	a	DET
ispiv-189	164	45	half	half	ADJ
ispiv-189	164	46	plane	plane	NOUN
ispiv-189	164	47	by	by	ADP
ispiv-189	164	48	the	the	DET
ispiv-189	164	49	method	method	NOUN
ispiv-189	164	50	of	of	ADP
ispiv-189	164	51	images	image	NOUN
ispiv-189	164	52	.	.	PUNCT
ispiv-189	165	1	for	for	ADP
ispiv-189	165	2	example	example	NOUN
ispiv-189	165	3	,	,	PUNCT
ispiv-189	165	4	the	the	DET
ispiv-189	165	5	green	green	NOUN
ispiv-189	165	6	’s	’s	PART
ispiv-189	165	7	function	function	NOUN
ispiv-189	165	8	on	on	ADP
ispiv-189	165	9	a	a	DET
ispiv-189	165	10	half	half	ADJ
ispiv-189	165	11	plane	plane	NOUN
ispiv-189	165	12	with	with	ADP
ispiv-189	165	13	a	a	DET
ispiv-189	165	14	homogeneous	homogeneous	ADJ
ispiv-189	165	15	dirichlet	dirichlet	NOUN
ispiv-189	165	16	boundary	boundary	NOUN
ispiv-189	165	17	at	at	ADP
ispiv-189	165	18	x	x	X
ispiv-189	165	19	=	=	SYM
ispiv-189	165	20	0	0	NUM
ispiv-189	165	21	is	be	AUX
ispiv-189	165	22	εp	εp	ADP
ispiv-189	165	23	=	=	NOUN
ispiv-189	165	24	g(xxx	g(xxx	PROPN
ispiv-189	165	25	,	,	PUNCT
ispiv-189	165	26	xxx000	xxx000	PROPN
ispiv-189	165	27	)	)	PUNCT
ispiv-189	166	1	=	=	PUNCT
ispiv-189	166	2	1	1	NUM
ispiv-189	166	3	2π	2π	NOUN
ispiv-189	166	4	ln	ln	NOUN
ispiv-189	166	5	[	[	PUNCT
ispiv-189	166	6	〈	〈	PROPN
ispiv-189	166	7	(	(	PUNCT
ispiv-189	166	8	x	x	NOUN
ispiv-189	166	9	,	,	PUNCT
ispiv-189	166	10	y),(x0,y0	y),(x0,y0	NOUN
ispiv-189	166	11	)	)	PUNCT
ispiv-189	166	12	〉	〉	PROPN
ispiv-189	166	13	〈	〈	PROPN
ispiv-189	166	14	(	(	PUNCT
ispiv-189	166	15	x	x	NOUN
ispiv-189	166	16	,	,	PUNCT
ispiv-189	166	17	y),(−x0,y0	y),(−x0,y0	NOUN
ispiv-189	166	18	)	)	PUNCT
ispiv-189	166	19	〉	〉	NOUN
ispiv-189	166	20	]	]	PUNCT
ispiv-189	166	21	,	,	PUNCT
ispiv-189	166	22	(	(	PUNCT
ispiv-189	166	23	20	20	NUM
ispiv-189	166	24	)	)	PUNCT
ispiv-189	166	25	where	where	SCONJ
ispiv-189	166	26	〈	〈	PROPN
ispiv-189	166	27	(	(	PUNCT
ispiv-189	166	28	x	x	NOUN
ispiv-189	166	29	,	,	PUNCT
ispiv-189	166	30	y),(x0,y0)〉=	y),(x0,y0)〉=	ADV
ispiv-189	166	31	√	√	PROPN
ispiv-189	166	32	(	(	PUNCT
ispiv-189	166	33	x−	x−	PROPN
ispiv-189	166	34	x0)2	x0)2	PROPN
ispiv-189	167	1	+	+	ADJ
ispiv-189	167	2	(	(	PUNCT
ispiv-189	167	3	y−	y−	NOUN
ispiv-189	167	4	y0)2	y0)2	PRON
ispiv-189	167	5	is	be	AUX
ispiv-189	167	6	the	the	DET
ispiv-189	167	7	distance	distance	NOUN
ispiv-189	167	8	from	from	ADP
ispiv-189	167	9	xxx	xxx	NOUN
ispiv-189	167	10	to	to	ADP
ispiv-189	167	11	xxx000	xxx000	PROPN
ispiv-189	167	12	(	(	PUNCT
ispiv-189	167	13	tikhonov	tikhonov	NOUN
ispiv-189	167	14	and	and	CCONJ
ispiv-189	167	15	samarskii	samarskii	NOUN
ispiv-189	167	16	,	,	PUNCT
ispiv-189	167	17	2013	2013	NUM
ispiv-189	167	18	)	)	PUNCT
ispiv-189	167	19	.	.	PUNCT
ispiv-189	168	1	as	as	SCONJ
ispiv-189	168	2	the	the	DET
ispiv-189	168	3	location	location	NOUN
ispiv-189	168	4	of	of	ADP
ispiv-189	168	5	the	the	DET
ispiv-189	168	6	error	error	NOUN
ispiv-189	168	7	approaches	approach	VERB
ispiv-189	168	8	the	the	DET
ispiv-189	168	9	boundary	boundary	NOUN
ispiv-189	168	10	(	(	PUNCT
ispiv-189	168	11	x0→	x0→	NOUN
ispiv-189	168	12	0	0	NUM
ispiv-189	168	13	)	)	PUNCT
ispiv-189	168	14	,	,	PUNCT
ispiv-189	168	15	g(xxx	g(xxx	NOUN
ispiv-189	168	16	,	,	PUNCT
ispiv-189	168	17	xxx000)→	xxx000)→	ADP
ispiv-189	168	18	0	0	NUM
ispiv-189	168	19	and	and	CCONJ
ispiv-189	168	20	thus	thus	ADV
ispiv-189	168	21	,	,	PUNCT
ispiv-189	168	22	εp	εp	ADP
ispiv-189	168	23	vanishes	vanish	VERB
ispiv-189	168	24	quickly	quickly	ADV
ispiv-189	168	25	towards	towards	ADP
ispiv-189	168	26	the	the	DET
ispiv-189	168	27	dirichlet	dirichlet	PROPN
ispiv-189	168	28	boundary	boundary	NOUN
ispiv-189	168	29	.	.	PUNCT
ispiv-189	169	1	for	for	ADP
ispiv-189	169	2	an	an	DET
ispiv-189	169	3	error	error	NOUN
ispiv-189	169	4	source	source	NOUN
ispiv-189	169	5	close	close	ADJ
ispiv-189	169	6	to	to	ADP
ispiv-189	169	7	a	a	DET
ispiv-189	169	8	neumann	neumann	PROPN
ispiv-189	169	9	boundary	boundary	NOUN
ispiv-189	169	10	,	,	PUNCT
ispiv-189	169	11	the	the	DET
ispiv-189	169	12	corresponding	correspond	VERB
ispiv-189	169	13	green	green	NOUN
ispiv-189	169	14	’s	’s	PART
ispiv-189	169	15	function	function	NOUN
ispiv-189	169	16	on	on	ADP
ispiv-189	169	17	the	the	DET
ispiv-189	169	18	halfplane	halfplane	NOUN
ispiv-189	169	19	is	be	AUX
ispiv-189	169	20	εp	εp	ADP
ispiv-189	169	21	=	=	NOUN
ispiv-189	169	22	g(xxx	g(xxx	PROPN
ispiv-189	169	23	,	,	PUNCT
ispiv-189	169	24	xxx000	xxx000	PROPN
ispiv-189	169	25	)	)	PUNCT
ispiv-189	170	1	=	=	PUNCT
ispiv-189	170	2	1	1	NUM
ispiv-189	170	3	2π	2π	NOUN
ispiv-189	170	4	ln	ln	NOUN
ispiv-189	171	1	[	[	X
ispiv-189	171	2	〈	〈	PROPN
ispiv-189	171	3	(	(	PUNCT
ispiv-189	171	4	x	x	NOUN
ispiv-189	171	5	,	,	PUNCT
ispiv-189	171	6	y),(x0,y0)〉〈(x	y),(x0,y0)〉〈(x	NOUN
ispiv-189	171	7	,	,	PUNCT
ispiv-189	171	8	y),(−x0,y0	y),(−x0,y0	NOUN
ispiv-189	171	9	)	)	PUNCT
ispiv-189	171	10	〉	〉	NOUN
ispiv-189	171	11	]	]	PUNCT
ispiv-189	171	12	.	.	PUNCT
ispiv-189	172	1	(	(	PUNCT
ispiv-189	172	2	21	21	NUM
ispiv-189	172	3	)	)	PUNCT
ispiv-189	172	4	as	as	ADP
ispiv-189	172	5	the	the	DET
ispiv-189	172	6	location	location	NOUN
ispiv-189	172	7	of	of	ADP
ispiv-189	172	8	the	the	DET
ispiv-189	172	9	concentrated	concentrate	VERB
ispiv-189	172	10	error	error	NOUN
ispiv-189	172	11	source	source	NOUN
ispiv-189	172	12	approaches	approach	VERB
ispiv-189	172	13	the	the	DET
ispiv-189	172	14	neumann	neumann	PROPN
ispiv-189	172	15	boundary	boundary	NOUN
ispiv-189	172	16	(	(	PUNCT
ispiv-189	172	17	x0→	x0→	NOUN
ispiv-189	172	18	0	0	NUM
ispiv-189	172	19	)	)	PUNCT
ispiv-189	172	20	,	,	PUNCT
ispiv-189	172	21	g(xxx	g(xxx	NOUN
ispiv-189	172	22	,	,	PUNCT
ispiv-189	172	23	xxx000)→∞	xxx000)→∞	PROPN
ispiv-189	172	24	and	and	CCONJ
ispiv-189	172	25	εp	εp	ADP
ispiv-189	172	26	blows	blow	VERB
ispiv-189	172	27	up	up	ADP
ispiv-189	172	28	at	at	ADP
ispiv-189	172	29	the	the	DET
ispiv-189	172	30	neumann	neumann	PROPN
ispiv-189	172	31	boundary	boundary	NOUN
ispiv-189	172	32	.	.	PUNCT
ispiv-189	173	1	this	this	DET
ispiv-189	173	2	irregular	irregular	ADJ
ispiv-189	173	3	behavior	behavior	NOUN
ispiv-189	173	4	is	be	AUX
ispiv-189	173	5	unique	unique	ADJ
ispiv-189	173	6	to	to	ADP
ispiv-189	173	7	the	the	DET
ispiv-189	173	8	green	green	PROPN
ispiv-189	173	9	’s	’s	PART
ispiv-189	173	10	function	function	NOUN
ispiv-189	173	11	analysis	analysis	NOUN
ispiv-189	173	12	and	and	CCONJ
ispiv-189	173	13	is	be	AUX
ispiv-189	173	14	not	not	PART
ispiv-189	173	15	physical	physical	ADJ
ispiv-189	173	16	,	,	PUNCT
ispiv-189	173	17	as	as	SCONJ
ispiv-189	173	18	ε	ε	PROPN
ispiv-189	173	19	f	f	PROPN
ispiv-189	173	20	can	can	AUX
ispiv-189	173	21	not	not	PART
ispiv-189	173	22	be	be	AUX
ispiv-189	173	23	a	a	DET
ispiv-189	173	24	strictly	strictly	ADV
ispiv-189	173	25	dirac	dirac	NOUN
ispiv-189	173	26	delta	delta	NOUN
ispiv-189	173	27	function	function	NOUN
ispiv-189	173	28	in	in	ADP
ispiv-189	173	29	reality	reality	NOUN
ispiv-189	173	30	.	.	PUNCT
ispiv-189	174	1	despite	despite	SCONJ
ispiv-189	174	2	this	this	DET
ispiv-189	174	3	singularity	singularity	NOUN
ispiv-189	174	4	,	,	PUNCT
ispiv-189	174	5	the	the	DET
ispiv-189	174	6	mathematical	mathematical	ADJ
ispiv-189	174	7	intuition	intuition	NOUN
ispiv-189	174	8	that	that	PRON
ispiv-189	174	9	arises	arise	VERB
ispiv-189	174	10	from	from	ADP
ispiv-189	174	11	this	this	DET
ispiv-189	174	12	analysis	analysis	NOUN
ispiv-189	174	13	shows	show	VERB
ispiv-189	174	14	how	how	SCONJ
ispiv-189	174	15	the	the	DET
ispiv-189	174	16	location	location	NOUN
ispiv-189	174	17	of	of	ADP
ispiv-189	174	18	the	the	DET
ispiv-189	174	19	error	error	NOUN
ispiv-189	174	20	in	in	ADP
ispiv-189	174	21	the	the	DET
ispiv-189	174	22	data	datum	NOUN
ispiv-189	174	23	coupled	couple	VERB
ispiv-189	174	24	with	with	ADP
ispiv-189	174	25	the	the	DET
ispiv-189	174	26	bcs	bcs	NOUN
ispiv-189	174	27	configuration	configuration	NOUN
ispiv-189	174	28	affects	affect	VERB
ispiv-189	174	29	the	the	DET
ispiv-189	174	30	error	error	NOUN
ispiv-189	174	31	propagation	propagation	NOUN
ispiv-189	174	32	.	.	PUNCT
ispiv-189	175	1	(	(	PUNCT
ispiv-189	175	2	a	a	X
ispiv-189	175	3	)	)	PUNCT
ispiv-189	175	4	(	(	PUNCT
ispiv-189	175	5	b	b	X
ispiv-189	175	6	)	)	PUNCT
ispiv-189	175	7	log10(ar	log10(ar	PROPN
ispiv-189	175	8	)	)	PUNCT
ispiv-189	175	9	figure	figure	VERB
ispiv-189	175	10	4	4	NUM
ispiv-189	175	11	:	:	PUNCT
ispiv-189	175	12	error	error	NOUN
ispiv-189	175	13	amplification	amplification	NOUN
ispiv-189	175	14	ratio	ratio	NOUN
ispiv-189	175	15	ar(xxx000	ar(xxx000	ADV
ispiv-189	175	16	)	)	PUNCT
ispiv-189	175	17	corresponding	correspond	VERB
ispiv-189	175	18	to	to	ADP
ispiv-189	175	19	concentrated	concentrate	VERB
ispiv-189	175	20	error	error	NOUN
ispiv-189	175	21	located	locate	VERB
ispiv-189	175	22	at	at	ADP
ispiv-189	175	23	xxx000	xxx000	PROPN
ispiv-189	175	24	=	=	SYM
ispiv-189	175	25	(	(	PUNCT
ispiv-189	175	26	x0,y0	x0,y0	PROPN
ispiv-189	175	27	)	)	PUNCT
ispiv-189	175	28	for	for	ADP
ispiv-189	175	29	domains	domain	NOUN
ispiv-189	175	30	featuring	feature	VERB
ispiv-189	175	31	an	an	DET
ispiv-189	175	32	airfoil	airfoil	NOUN
ispiv-189	175	33	of	of	ADP
ispiv-189	175	34	chord	chord	PROPN
ispiv-189	175	35	length	length	PROPN
ispiv-189	175	36	lc	lc	PROPN
ispiv-189	175	37	.	.	PUNCT
ispiv-189	176	1	neumann	neumann	PROPN
ispiv-189	176	2	bcs	bcs	PROPN
ispiv-189	176	3	are	be	AUX
ispiv-189	176	4	applied	apply	VERB
ispiv-189	176	5	on	on	ADP
ispiv-189	176	6	the	the	DET
ispiv-189	176	7	surface	surface	NOUN
ispiv-189	176	8	of	of	ADP
ispiv-189	176	9	the	the	DET
ispiv-189	176	10	airfoil	airfoil	NOUN
ispiv-189	176	11	.	.	PUNCT
ispiv-189	177	1	the	the	DET
ispiv-189	177	2	domains	domain	NOUN
ispiv-189	177	3	feature	feature	VERB
ispiv-189	177	4	(	(	PUNCT
ispiv-189	177	5	a	a	X
ispiv-189	177	6	)	)	PUNCT
ispiv-189	177	7	dirichlet	dirichlet	PROPN
ispiv-189	177	8	bcs	bcs	NOUN
ispiv-189	177	9	on	on	ADP
ispiv-189	177	10	the	the	DET
ispiv-189	177	11	outer	outer	ADJ
ispiv-189	177	12	boundaries	boundary	NOUN
ispiv-189	177	13	and	and	CCONJ
ispiv-189	177	14	(	(	PUNCT
ispiv-189	177	15	b	b	NOUN
ispiv-189	177	16	)	)	PUNCT
ispiv-189	177	17	mixed	mixed	ADJ
ispiv-189	177	18	bcs	bc	NOUN
ispiv-189	177	19	on	on	ADP
ispiv-189	177	20	the	the	DET
ispiv-189	177	21	outer	outer	ADJ
ispiv-189	177	22	boundaries	boundary	NOUN
ispiv-189	177	23	.	.	PUNCT
ispiv-189	178	1	dirichlet	dirichlet	PROPN
ispiv-189	178	2	boundaries	boundary	NOUN
ispiv-189	178	3	are	be	AUX
ispiv-189	178	4	marked	mark	VERB
ispiv-189	178	5	by	by	ADP
ispiv-189	178	6	green	green	ADJ
ispiv-189	178	7	solid	solid	ADJ
ispiv-189	178	8	lines	line	NOUN
ispiv-189	178	9	and	and	CCONJ
ispiv-189	178	10	neumann	neumann	PROPN
ispiv-189	178	11	boundaries	boundary	NOUN
ispiv-189	178	12	are	be	AUX
ispiv-189	178	13	marked	mark	VERB
ispiv-189	178	14	by	by	ADP
ispiv-189	178	15	orange	orange	PROPN
ispiv-189	178	16	dashed	dash	VERB
ispiv-189	178	17	lines	line	NOUN
ispiv-189	178	18	,	,	PUNCT
ispiv-189	178	19	respectively	respectively	ADV
ispiv-189	178	20	.	.	PUNCT
ispiv-189	179	1	we	we	PRON
ispiv-189	179	2	further	far	ADV
ispiv-189	179	3	demonstrate	demonstrate	VERB
ispiv-189	179	4	the	the	DET
ispiv-189	179	5	dependence	dependence	NOUN
ispiv-189	179	6	of	of	ADP
ispiv-189	179	7	ar(xxx000	ar(xxx000	NOUN
ispiv-189	179	8	)	)	PUNCT
ispiv-189	179	9	to	to	ADP
ispiv-189	179	10	the	the	DET
ispiv-189	179	11	placement	placement	NOUN
ispiv-189	179	12	of	of	ADP
ispiv-189	179	13	error	error	NOUN
ispiv-189	179	14	(	(	PUNCT
ispiv-189	179	15	xxx000	xxx000	PROPN
ispiv-189	179	16	)	)	PUNCT
ispiv-189	179	17	using	use	VERB
ispiv-189	179	18	a	a	DET
ispiv-189	179	19	more	more	ADV
ispiv-189	179	20	complex	complex	ADJ
ispiv-189	179	21	domain	domain	NOUN
ispiv-189	179	22	.	.	PUNCT
ispiv-189	180	1	figure	figure	NOUN
ispiv-189	180	2	4	4	NUM
ispiv-189	180	3	shows	show	VERB
ispiv-189	180	4	error	error	NOUN
ispiv-189	180	5	sensitivity	sensitivity	NOUN
ispiv-189	180	6	maps	map	NOUN
ispiv-189	180	7	for	for	ADP
ispiv-189	180	8	a	a	DET
ispiv-189	180	9	3×2	3×2	NUM
ispiv-189	180	10	domain	domain	NOUN
ispiv-189	180	11	with	with	ADP
ispiv-189	180	12	an	an	DET
ispiv-189	180	13	airfoil	airfoil	NOUN
ispiv-189	180	14	,	,	PUNCT
ispiv-189	180	15	nondimensionalized	nondimensionalize	VERB
ispiv-189	180	16	by	by	ADP
ispiv-189	180	17	the	the	DET
ispiv-189	180	18	airfoil	airfoil	NOUN
ispiv-189	180	19	chord	chord	PROPN
ispiv-189	180	20	length	length	NOUN
ispiv-189	180	21	,	,	PUNCT
ispiv-189	180	22	for	for	ADP
ispiv-189	180	23	different	different	ADJ
ispiv-189	180	24	bc	bc	PROPN
ispiv-189	180	25	configurations	configuration	NOUN
ispiv-189	180	26	.	.	PUNCT
ispiv-189	181	1	ar(x0,y0	ar(x0,y0	PROPN
ispiv-189	181	2	)	)	PUNCT
ispiv-189	182	1	is	be	AUX
ispiv-189	182	2	the	the	DET
ispiv-189	182	3	error	error	NOUN
ispiv-189	182	4	amplification	amplification	NOUN
ispiv-189	182	5	ratio	ratio	NOUN
ispiv-189	182	6	as	as	ADP
ispiv-189	182	7	a	a	DET
ispiv-189	182	8	function	function	NOUN
ispiv-189	182	9	of	of	ADP
ispiv-189	182	10	the	the	DET
ispiv-189	182	11	location	location	NOUN
ispiv-189	182	12	of	of	ADP
ispiv-189	182	13	concentrated	concentrate	VERB
ispiv-189	182	14	error	error	NOUN
ispiv-189	182	15	as	as	SCONJ
ispiv-189	182	16	illustrated	illustrate	VERB
ispiv-189	182	17	.	.	PUNCT
ispiv-189	183	1	figure	figure	NOUN
ispiv-189	183	2	4(a	4(a	NUM
ispiv-189	183	3	)	)	PUNCT
ispiv-189	183	4	shows	show	VERB
ispiv-189	183	5	that	that	SCONJ
ispiv-189	183	6	concentrated	concentrate	VERB
ispiv-189	183	7	error	error	NOUN
ispiv-189	183	8	near	near	ADP
ispiv-189	183	9	a	a	DET
ispiv-189	183	10	dirichlet	dirichlet	PROPN
ispiv-189	183	11	bc	bc	PROPN
ispiv-189	183	12	is	be	AUX
ispiv-189	183	13	tamed	tame	VERB
ispiv-189	183	14	by	by	ADP
ispiv-189	183	15	the	the	DET
ispiv-189	183	16	boundary	boundary	NOUN
ispiv-189	183	17	,	,	PUNCT
ispiv-189	183	18	as	as	SCONJ
ispiv-189	183	19	seen	see	VERB
ispiv-189	183	20	by	by	ADP
ispiv-189	183	21	the	the	DET
ispiv-189	183	22	low	low	ADJ
ispiv-189	183	23	value	value	NOUN
ispiv-189	183	24	of	of	ADP
ispiv-189	183	25	amplification	amplification	NOUN
ispiv-189	183	26	ratio	ratio	NOUN
ispiv-189	183	27	ar	ar	NOUN
ispiv-189	183	28	around	around	ADP
ispiv-189	183	29	the	the	DET
ispiv-189	183	30	edges	edge	NOUN
ispiv-189	183	31	of	of	ADP
ispiv-189	183	32	the	the	DET
ispiv-189	183	33	domain	domain	NOUN
ispiv-189	183	34	.	.	PUNCT
ispiv-189	184	1	concentrated	concentrated	ADJ
ispiv-189	184	2	errors	error	NOUN
ispiv-189	184	3	far	far	ADV
ispiv-189	184	4	from	from	ADP
ispiv-189	184	5	dirichlet	dirichlet	PROPN
ispiv-189	184	6	boundaries	boundary	NOUN
ispiv-189	184	7	and/or	and/or	CCONJ
ispiv-189	184	8	close	close	ADJ
ispiv-189	184	9	to	to	ADP
ispiv-189	184	10	a	a	DET
ispiv-189	184	11	neumann	neumann	PROPN
ispiv-189	184	12	boundary	boundary	PROPN
ispiv-189	184	13	show	show	NOUN
ispiv-189	184	14	more	more	ADJ
ispiv-189	184	15	propagation	propagation	NOUN
ispiv-189	184	16	,	,	PUNCT
ispiv-189	184	17	and	and	CCONJ
ispiv-189	184	18	thus	thus	ADV
ispiv-189	184	19	a	a	DET
ispiv-189	184	20	higher	high	ADJ
ispiv-189	184	21	value	value	NOUN
ispiv-189	184	22	of	of	ADP
ispiv-189	184	23	ar	ar	PROPN
ispiv-189	184	24	occurs	occur	VERB
ispiv-189	184	25	near	near	ADP
ispiv-189	184	26	the	the	DET
ispiv-189	184	27	center	center	NOUN
ispiv-189	184	28	of	of	ADP
ispiv-189	184	29	its	its	PRON
ispiv-189	184	30	domain	domain	NOUN
ispiv-189	184	31	.	.	PUNCT
ispiv-189	185	1	in	in	ADP
ispiv-189	185	2	figure	figure	NOUN
ispiv-189	185	3	4(b	4(b	NUM
ispiv-189	185	4	)	)	PUNCT
ispiv-189	185	5	,	,	PUNCT
ispiv-189	185	6	we	we	PRON
ispiv-189	185	7	see	see	VERB
ispiv-189	185	8	that	that	SCONJ
ispiv-189	185	9	error	error	NOUN
ispiv-189	185	10	amplification	amplification	NOUN
ispiv-189	185	11	is	be	AUX
ispiv-189	185	12	highest	high	ADJ
ispiv-189	185	13	in	in	ADP
ispiv-189	185	14	the	the	DET
ispiv-189	185	15	middle	middle	NOUN
ispiv-189	185	16	of	of	ADP
ispiv-189	185	17	‘	'	PUNCT
ispiv-189	185	18	long	long	ADJ
ispiv-189	185	19	’	'	PUNCT
ispiv-189	185	20	neumann	neumann	PROPN
ispiv-189	185	21	boundaries	boundary	NOUN
ispiv-189	185	22	such	such	ADJ
ispiv-189	185	23	as	as	ADP
ispiv-189	185	24	the	the	DET
ispiv-189	185	25	left	left	ADJ
ispiv-189	185	26	and	and	CCONJ
ispiv-189	185	27	right	right	ADJ
ispiv-189	185	28	edges	edge	NOUN
ispiv-189	185	29	of	of	ADP
ispiv-189	185	30	the	the	DET
ispiv-189	185	31	domain	domain	NOUN
ispiv-189	185	32	as	as	ADV
ispiv-189	185	33	well	well	ADV
ispiv-189	185	34	as	as	ADP
ispiv-189	185	35	the	the	DET
ispiv-189	185	36	suction	suction	NOUN
ispiv-189	185	37	and	and	CCONJ
ispiv-189	185	38	pressure	pressure	NOUN
ispiv-189	185	39	surface	surface	NOUN
ispiv-189	185	40	of	of	ADP
ispiv-189	185	41	the	the	DET
ispiv-189	185	42	airfoil	airfoil	NOUN
ispiv-189	185	43	.	.	PUNCT
ispiv-189	186	1	the	the	DET
ispiv-189	186	2	leading	lead	VERB
ispiv-189	186	3	edge	edge	NOUN
ispiv-189	186	4	of	of	ADP
ispiv-189	186	5	the	the	DET
ispiv-189	186	6	airfoil	airfoil	NOUN
ispiv-189	186	7	can	can	AUX
ispiv-189	186	8	be	be	AUX
ispiv-189	186	9	considered	consider	VERB
ispiv-189	186	10	a	a	DET
ispiv-189	186	11	‘	'	PUNCT
ispiv-189	186	12	short	short	ADJ
ispiv-189	186	13	’	'	PUNCT
ispiv-189	186	14	neumann	neumann	PROPN
ispiv-189	186	15	boundary	boundary	PROPN
ispiv-189	186	16	due	due	ADP
ispiv-189	186	17	to	to	ADP
ispiv-189	186	18	its	its	PRON
ispiv-189	186	19	high	high	ADJ
ispiv-189	186	20	curvature	curvature	NOUN
ispiv-189	186	21	,	,	PUNCT
ispiv-189	186	22	and	and	CCONJ
ispiv-189	186	23	thus	thus	ADV
ispiv-189	186	24	shows	show	VERB
ispiv-189	186	25	less	less	ADJ
ispiv-189	186	26	propagation	propagation	NOUN
ispiv-189	186	27	than	than	ADP
ispiv-189	186	28	these	these	DET
ispiv-189	186	29	long	long	ADJ
ispiv-189	186	30	neumann	neumann	PROPN
ispiv-189	186	31	boundaries	boundaries	PROPN
ispiv-189	186	32	.	.	PUNCT
ispiv-189	187	1	figure	figure	NOUN
ispiv-189	187	2	5	5	NUM
ispiv-189	187	3	shows	show	VERB
ispiv-189	187	4	the	the	DET
ispiv-189	187	5	reconstructed	reconstructed	ADJ
ispiv-189	187	6	pressure	pressure	NOUN
ispiv-189	187	7	field	field	NOUN
ispiv-189	187	8	for	for	ADP
ispiv-189	187	9	a	a	DET
ispiv-189	187	10	concentrated	concentrated	ADJ
ispiv-189	187	11	error	error	NOUN
ispiv-189	187	12	located	locate	VERB
ispiv-189	187	13	at	at	ADP
ispiv-189	187	14	different	different	ADJ
ispiv-189	187	15	coordinates	coordinate	NOUN
ispiv-189	187	16	.	.	PUNCT
ispiv-189	188	1	in	in	ADP
ispiv-189	188	2	figure	figure	NOUN
ispiv-189	188	3	5(a)-(c	5(a)-(c	NUM
ispiv-189	188	4	)	)	PUNCT
ispiv-189	188	5	,	,	PUNCT
ispiv-189	188	6	the	the	DET
ispiv-189	188	7	outer	outer	ADJ
ispiv-189	188	8	boundaries	boundary	NOUN
ispiv-189	188	9	are	be	AUX
ispiv-189	188	10	dirichlet	dirichlet	PROPN
ispiv-189	188	11	,	,	PUNCT
ispiv-189	188	12	while	while	SCONJ
ispiv-189	188	13	the	the	DET
ispiv-189	188	14	airfoil	airfoil	NOUN
ispiv-189	188	15	boundaries	boundary	NOUN
ispiv-189	188	16	are	be	AUX
ispiv-189	188	17	neumann	neumann	PROPN
ispiv-189	188	18	.	.	PUNCT
ispiv-189	189	1	figure	figure	NOUN
ispiv-189	189	2	5(a	5(a	NUM
ispiv-189	189	3	)	)	PUNCT
ispiv-189	189	4	shows	show	VERB
ispiv-189	189	5	the	the	DET
ispiv-189	189	6	effect	effect	NOUN
ispiv-189	189	7	of	of	ADP
ispiv-189	189	8	concentrated	concentrate	VERB
ispiv-189	189	9	error	error	NOUN
ispiv-189	189	10	near	near	ADP
ispiv-189	189	11	a	a	DET
ispiv-189	189	12	dirichlet	dirichlet	PROPN
ispiv-189	189	13	boundary	boundary	NOUN
ispiv-189	189	14	;	;	PUNCT
ispiv-189	189	15	error	error	NOUN
ispiv-189	189	16	rapidly	rapidly	ADV
ispiv-189	189	17	dissipates	dissipate	VERB
ispiv-189	189	18	as	as	SCONJ
ispiv-189	189	19	the	the	DET
ispiv-189	189	20	dirichlet	dirichlet	PROPN
ispiv-189	189	21	boundary	boundary	NOUN
ispiv-189	189	22	is	be	AUX
ispiv-189	189	23	approached	approach	VERB
ispiv-189	189	24	,	,	PUNCT
ispiv-189	189	25	and	and	CCONJ
ispiv-189	189	26	does	do	AUX
ispiv-189	189	27	not	not	PART
ispiv-189	189	28	significantly	significantly	ADV
ispiv-189	189	29	propagate	propagate	VERB
ispiv-189	189	30	and	and	CCONJ
ispiv-189	189	31	contaminate	contaminate	VERB
ispiv-189	189	32	the	the	DET
ispiv-189	189	33	whole	whole	ADJ
ispiv-189	189	34	pressure	pressure	NOUN
ispiv-189	189	35	field	field	NOUN
ispiv-189	189	36	.	.	PUNCT
ispiv-189	190	1	in	in	ADP
ispiv-189	190	2	contrast	contrast	NOUN
ispiv-189	190	3	,	,	PUNCT
ispiv-189	190	4	figure	figure	NOUN
ispiv-189	190	5	5(b	5(b	NUM
ispiv-189	190	6	)	)	PUNCT
ispiv-189	190	7	shows	show	VERB
ispiv-189	190	8	a	a	DET
ispiv-189	190	9	concentrated	concentrated	ADJ
ispiv-189	190	10	error	error	NOUN
ispiv-189	190	11	near	near	ADP
ispiv-189	190	12	a	a	DET
ispiv-189	190	13	long	long	ADJ
ispiv-189	190	14	neumann	neumann	PROPN
ispiv-189	190	15	boundary	boundary	NOUN
ispiv-189	190	16	,	,	PUNCT
ispiv-189	190	17	where	where	SCONJ
ispiv-189	190	18	the	the	DET
ispiv-189	190	19	error	error	NOUN
ispiv-189	190	20	is	be	AUX
ispiv-189	190	21	amplified	amplify	VERB
ispiv-189	190	22	due	due	ADP
ispiv-189	190	23	to	to	ADP
ispiv-189	190	24	its	its	PRON
ispiv-189	190	25	proximity	proximity	NOUN
ispiv-189	190	26	to	to	ADP
ispiv-189	190	27	a	a	DET
ispiv-189	190	28	neumann	neumann	PROPN
ispiv-189	190	29	boundary	boundary	NOUN
ispiv-189	190	30	and	and	CCONJ
ispiv-189	190	31	the	the	DET
ispiv-189	190	32	center	center	NOUN
ispiv-189	190	33	of	of	ADP
ispiv-189	190	34	the	the	DET
ispiv-189	190	35	domain	domain	NOUN
ispiv-189	190	36	and	and	CCONJ
ispiv-189	190	37	contaminates	contaminate	VERB
ispiv-189	190	38	a	a	DET
ispiv-189	190	39	large	large	ADJ
ispiv-189	190	40	area	area	NOUN
ispiv-189	190	41	of	of	ADP
ispiv-189	190	42	the	the	DET
ispiv-189	190	43	domain	domain	NOUN
ispiv-189	190	44	.	.	PUNCT
ispiv-189	191	1	figure	figure	NOUN
ispiv-189	191	2	5(c	5(c	NUM
ispiv-189	191	3	)	)	PUNCT
ispiv-189	191	4	also	also	ADV
ispiv-189	191	5	shows	show	VERB
ispiv-189	191	6	a	a	DET
ispiv-189	191	7	concentrated	concentrated	ADJ
ispiv-189	191	8	error	error	NOUN
ispiv-189	191	9	near	near	ADP
ispiv-189	191	10	a	a	DET
ispiv-189	191	11	neumann	neumann	PROPN
ispiv-189	191	12	boundary	boundary	NOUN
ispiv-189	191	13	,	,	PUNCT
ispiv-189	191	14	however	however	ADV
ispiv-189	191	15	the	the	DET
ispiv-189	191	16	pressure	pressure	NOUN
ispiv-189	191	17	figure	figure	NOUN
ispiv-189	191	18	5	5	NUM
ispiv-189	191	19	:	:	PUNCT
ispiv-189	191	20	error	error	NOUN
ispiv-189	191	21	in	in	ADP
ispiv-189	191	22	the	the	DET
ispiv-189	191	23	reconstructed	reconstructed	ADJ
ispiv-189	191	24	pressure	pressure	NOUN
ispiv-189	191	25	field	field	NOUN
ispiv-189	191	26	(	(	PUNCT
ispiv-189	191	27	εp	εp	NOUN
ispiv-189	191	28	)	)	PUNCT
ispiv-189	191	29	caused	cause	VERB
ispiv-189	191	30	by	by	ADP
ispiv-189	191	31	concentrated	concentrated	ADJ
ispiv-189	191	32	error	error	NOUN
ispiv-189	191	33	in	in	ADP
ispiv-189	191	34	the	the	DET
ispiv-189	191	35	data	datum	NOUN
ispiv-189	191	36	field	field	NOUN
ispiv-189	191	37	located	locate	VERB
ispiv-189	191	38	at	at	ADP
ispiv-189	191	39	different	different	ADJ
ispiv-189	191	40	locations	location	NOUN
ispiv-189	191	41	(	(	PUNCT
ispiv-189	191	42	ε	ε	PROPN
ispiv-189	191	43	f	f	NOUN
ispiv-189	191	44	=	=	PUNCT
ispiv-189	191	45	δ(x0,y0	δ(x0,y0	NOUN
ispiv-189	191	46	)	)	PUNCT
ispiv-189	191	47	)	)	PUNCT
ispiv-189	191	48	.	.	PUNCT
ispiv-189	192	1	the	the	DET
ispiv-189	192	2	type	type	NOUN
ispiv-189	192	3	of	of	ADP
ispiv-189	192	4	bcs	bc	NOUN
ispiv-189	192	5	of	of	ADP
ispiv-189	192	6	the	the	DET
ispiv-189	192	7	domain	domain	NOUN
ispiv-189	192	8	are	be	AUX
ispiv-189	192	9	indicated	indicate	VERB
ispiv-189	192	10	by	by	ADP
ispiv-189	192	11	green	green	ADJ
ispiv-189	192	12	solid	solid	ADJ
ispiv-189	192	13	lines	line	NOUN
ispiv-189	192	14	for	for	ADP
ispiv-189	192	15	dirichlet	dirichlet	PROPN
ispiv-189	192	16	boundaries	boundary	NOUN
ispiv-189	192	17	,	,	PUNCT
ispiv-189	192	18	and	and	CCONJ
ispiv-189	192	19	dashed	dash	VERB
ispiv-189	192	20	orange	orange	PROPN
ispiv-189	192	21	lines	line	NOUN
ispiv-189	192	22	for	for	ADP
ispiv-189	192	23	neumann	neumann	PROPN
ispiv-189	192	24	boundaries	boundary	NOUN
ispiv-189	192	25	.	.	PUNCT
ispiv-189	193	1	the	the	DET
ispiv-189	193	2	locations	location	NOUN
ispiv-189	193	3	of	of	ADP
ispiv-189	193	4	the	the	DET
ispiv-189	193	5	error	error	NOUN
ispiv-189	193	6	(	(	PUNCT
ispiv-189	193	7	x0,y0	x0,y0	NOUN
ispiv-189	193	8	)	)	PUNCT
ispiv-189	193	9	are	be	AUX
ispiv-189	193	10	marked	mark	VERB
ispiv-189	193	11	by	by	ADP
ispiv-189	193	12	the	the	DET
ispiv-189	193	13	green	green	ADJ
ispiv-189	193	14	arrow	arrow	NOUN
ispiv-189	193	15	heads	head	NOUN
ispiv-189	193	16	.	.	PUNCT
ispiv-189	194	1	the	the	DET
ispiv-189	194	2	legend	legend	NOUN
ispiv-189	194	3	in	in	ADP
ispiv-189	194	4	each	each	DET
ispiv-189	194	5	subplot	subplot	NOUN
ispiv-189	194	6	indicates	indicate	VERB
ispiv-189	194	7	the	the	DET
ispiv-189	194	8	error	error	NOUN
ispiv-189	194	9	amplification	amplification	NOUN
ispiv-189	194	10	ratio	ratio	NOUN
ispiv-189	194	11	(	(	PUNCT
ispiv-189	194	12	ar	ar	NOUN
ispiv-189	194	13	=	=	SYM
ispiv-189	194	14	||εp||l2(ω)/||ε	||εp||l2(ω)/||ε	PROPN
ispiv-189	194	15	f	f	X
ispiv-189	194	16	||l2(ω	||l2(ω	ADJ
ispiv-189	194	17	)	)	PUNCT
ispiv-189	194	18	)	)	PUNCT
ispiv-189	194	19	corresponding	correspond	VERB
ispiv-189	194	20	to	to	ADP
ispiv-189	194	21	the	the	DET
ispiv-189	194	22	the	the	DET
ispiv-189	194	23	ε	ε	PROPN
ispiv-189	194	24	f	f	PROPN
ispiv-189	194	25	at	at	ADP
ispiv-189	194	26	each	each	DET
ispiv-189	194	27	location	location	NOUN
ispiv-189	194	28	.	.	PUNCT
ispiv-189	195	1	field	field	NOUN
ispiv-189	195	2	is	be	AUX
ispiv-189	195	3	less	less	ADV
ispiv-189	195	4	contaminated	contaminate	VERB
ispiv-189	195	5	than	than	ADP
ispiv-189	195	6	figure	figure	NOUN
ispiv-189	195	7	5(b	5(b	NUM
ispiv-189	195	8	)	)	PUNCT
ispiv-189	195	9	.	.	PUNCT
ispiv-189	196	1	this	this	PRON
ispiv-189	196	2	is	be	AUX
ispiv-189	196	3	due	due	ADJ
ispiv-189	196	4	to	to	ADP
ispiv-189	196	5	the	the	DET
ispiv-189	196	6	high	high	ADJ
ispiv-189	196	7	curvature	curvature	NOUN
ispiv-189	196	8	of	of	ADP
ispiv-189	196	9	the	the	DET
ispiv-189	196	10	boundary	boundary	NOUN
ispiv-189	196	11	at	at	ADP
ispiv-189	196	12	this	this	DET
ispiv-189	196	13	point	point	NOUN
ispiv-189	196	14	,	,	PUNCT
ispiv-189	196	15	which	which	PRON
ispiv-189	196	16	is	be	AUX
ispiv-189	196	17	considered	consider	VERB
ispiv-189	196	18	a	a	DET
ispiv-189	196	19	”	"	PUNCT
ispiv-189	196	20	short	short	ADJ
ispiv-189	196	21	”	"	PUNCT
ispiv-189	196	22	neumann	neumann	PROPN
ispiv-189	196	23	boundary	boundary	PROPN
ispiv-189	196	24	and	and	CCONJ
ispiv-189	196	25	thus	thus	ADV
ispiv-189	196	26	the	the	DET
ispiv-189	196	27	error	error	NOUN
ispiv-189	196	28	spreads	spread	VERB
ispiv-189	196	29	less	less	ADJ
ispiv-189	196	30	.	.	PUNCT
ispiv-189	197	1	in	in	ADP
ispiv-189	197	2	figure	figure	NOUN
ispiv-189	197	3	5(d)-(f	5(d)-(f	NUM
ispiv-189	197	4	)	)	PUNCT
ispiv-189	197	5	,	,	PUNCT
ispiv-189	197	6	the	the	DET
ispiv-189	197	7	outer	outer	ADJ
ispiv-189	197	8	boundaries	boundary	NOUN
ispiv-189	197	9	are	be	AUX
ispiv-189	197	10	mixed	mixed	ADJ
ispiv-189	197	11	boundary	boundary	ADJ
ispiv-189	197	12	conditions	condition	NOUN
ispiv-189	197	13	,	,	PUNCT
ispiv-189	197	14	while	while	SCONJ
ispiv-189	197	15	the	the	DET
ispiv-189	197	16	airfoil	airfoil	NOUN
ispiv-189	197	17	remains	remain	VERB
ispiv-189	197	18	as	as	ADP
ispiv-189	197	19	a	a	DET
ispiv-189	197	20	neumann	neumann	PROPN
ispiv-189	197	21	boundary	boundary	NOUN
ispiv-189	197	22	.	.	PUNCT
ispiv-189	198	1	the	the	DET
ispiv-189	198	2	error	error	NOUN
ispiv-189	198	3	shown	show	VERB
ispiv-189	198	4	in	in	ADP
ispiv-189	198	5	figure	figure	NOUN
ispiv-189	198	6	5(d	5(d	NUM
ispiv-189	198	7	)	)	PUNCT
ispiv-189	198	8	is	be	AUX
ispiv-189	198	9	now	now	ADV
ispiv-189	198	10	beside	beside	ADP
ispiv-189	198	11	a	a	DET
ispiv-189	198	12	neumann	neumann	PROPN
ispiv-189	198	13	boundary	boundary	NOUN
ispiv-189	198	14	instead	instead	ADV
ispiv-189	198	15	of	of	ADP
ispiv-189	198	16	the	the	DET
ispiv-189	198	17	dirichlet	dirichlet	PROPN
ispiv-189	198	18	boundary	boundary	NOUN
ispiv-189	198	19	in	in	ADP
ispiv-189	198	20	figure	figure	NOUN
ispiv-189	198	21	5(a	5(a	NUM
ispiv-189	198	22	)	)	PUNCT
ispiv-189	198	23	.	.	PUNCT
ispiv-189	199	1	as	as	ADP
ispiv-189	199	2	a	a	DET
ispiv-189	199	3	result	result	NOUN
ispiv-189	199	4	,	,	PUNCT
ispiv-189	199	5	the	the	DET
ispiv-189	199	6	error	error	NOUN
ispiv-189	199	7	propagates	propagate	VERB
ispiv-189	199	8	much	much	ADV
ispiv-189	199	9	more	more	ADV
ispiv-189	199	10	and	and	CCONJ
ispiv-189	199	11	the	the	DET
ispiv-189	199	12	ar	ar	NOUN
ispiv-189	199	13	is	be	AUX
ispiv-189	199	14	greater	great	ADJ
ispiv-189	199	15	.	.	PUNCT
ispiv-189	200	1	in	in	ADP
ispiv-189	200	2	figures	figure	NOUN
ispiv-189	200	3	5(e	5(e	NUM
ispiv-189	200	4	)	)	PUNCT
ispiv-189	200	5	and	and	CCONJ
ispiv-189	200	6	(	(	PUNCT
ispiv-189	200	7	f	f	X
ispiv-189	200	8	)	)	PUNCT
ispiv-189	200	9	,	,	PUNCT
ispiv-189	200	10	we	we	PRON
ispiv-189	200	11	see	see	VERB
ispiv-189	200	12	that	that	SCONJ
ispiv-189	200	13	the	the	DET
ispiv-189	200	14	concentrated	concentrate	VERB
ispiv-189	200	15	error	error	NOUN
ispiv-189	200	16	propagates	propagate	VERB
ispiv-189	200	17	more	more	ADJ
ispiv-189	200	18	than	than	ADP
ispiv-189	200	19	the	the	DET
ispiv-189	200	20	error	error	NOUN
ispiv-189	200	21	in	in	ADP
ispiv-189	200	22	figure	figure	NOUN
ispiv-189	200	23	5(b	5(b	NUM
ispiv-189	200	24	)	)	PUNCT
ispiv-189	200	25	and	and	CCONJ
ispiv-189	200	26	(	(	PUNCT
ispiv-189	200	27	c	c	NOUN
ispiv-189	200	28	)	)	PUNCT
ispiv-189	200	29	.	.	PUNCT
ispiv-189	201	1	this	this	PRON
ispiv-189	201	2	is	be	AUX
ispiv-189	201	3	because	because	SCONJ
ispiv-189	201	4	the	the	DET
ispiv-189	201	5	taming	tame	VERB
ispiv-189	201	6	dirichlet	dirichlet	NOUN
ispiv-189	201	7	boundaries	boundary	NOUN
ispiv-189	201	8	are	be	AUX
ispiv-189	201	9	lost	lose	VERB
ispiv-189	201	10	and	and	CCONJ
ispiv-189	201	11	replaced	replace	VERB
ispiv-189	201	12	with	with	ADP
ispiv-189	201	13	amplifying	amplifying	ADJ
ispiv-189	201	14	neumann	neumann	PROPN
ispiv-189	201	15	boundaries	boundary	NOUN
ispiv-189	201	16	,	,	PUNCT
ispiv-189	201	17	so	so	SCONJ
ispiv-189	201	18	error	error	NOUN
ispiv-189	201	19	propagates	propagate	VERB
ispiv-189	201	20	much	much	ADV
ispiv-189	201	21	more	more	ADV
ispiv-189	201	22	freely	freely	ADV
ispiv-189	201	23	.	.	PUNCT
ispiv-189	202	1	5	5	NUM
ispiv-189	202	2	conclusion	conclusion	NOUN
ispiv-189	202	3	in	in	ADP
ispiv-189	202	4	the	the	DET
ispiv-189	202	5	current	current	ADJ
ispiv-189	202	6	work	work	NOUN
ispiv-189	202	7	,	,	PUNCT
ispiv-189	202	8	we	we	PRON
ispiv-189	202	9	present	present	VERB
ispiv-189	202	10	a	a	DET
ispiv-189	202	11	systematic	systematic	ADJ
ispiv-189	202	12	method	method	NOUN
ispiv-189	202	13	for	for	ADP
ispiv-189	202	14	finding	find	VERB
ispiv-189	202	15	the	the	DET
ispiv-189	202	16	worst	bad	ADJ
ispiv-189	202	17	case	case	NOUN
ispiv-189	202	18	error	error	NOUN
ispiv-189	202	19	profile	profile	NOUN
ispiv-189	202	20	in	in	ADP
ispiv-189	202	21	the	the	DET
ispiv-189	202	22	data	data	NOUN
ispiv-189	202	23	field	field	NOUN
ispiv-189	202	24	which	which	PRON
ispiv-189	202	25	causes	cause	VERB
ispiv-189	202	26	the	the	DET
ispiv-189	202	27	most	most	ADJ
ispiv-189	202	28	error	error	NOUN
ispiv-189	202	29	in	in	ADP
ispiv-189	202	30	the	the	DET
ispiv-189	202	31	pressure	pressure	NOUN
ispiv-189	202	32	field	field	NOUN
ispiv-189	202	33	.	.	PUNCT
ispiv-189	203	1	this	this	PRON
ispiv-189	203	2	is	be	AUX
ispiv-189	203	3	corresponding	correspond	VERB
ispiv-189	203	4	to	to	ADP
ispiv-189	203	5	the	the	DET
ispiv-189	203	6	upper	upper	ADJ
ispiv-189	203	7	bound	bound	NOUN
ispiv-189	203	8	of	of	ADP
ispiv-189	203	9	the	the	DET
ispiv-189	203	10	error	error	NOUN
ispiv-189	203	11	in	in	ADP
ispiv-189	203	12	the	the	DET
ispiv-189	203	13	calculated	calculate	VERB
ispiv-189	203	14	pressure	pressure	NOUN
ispiv-189	203	15	field	field	NOUN
ispiv-189	203	16	discussed	discuss	VERB
ispiv-189	203	17	in	in	ADP
ispiv-189	203	18	pan	pan	PROPN
ispiv-189	203	19	et	et	PROPN
ispiv-189	203	20	al	al	PROPN
ispiv-189	203	21	.	.	PUNCT
ispiv-189	204	1	(	(	PUNCT
ispiv-189	204	2	2016	2016	NUM
ispiv-189	204	3	)	)	PUNCT
ispiv-189	204	4	.	.	PUNCT
ispiv-189	205	1	the	the	DET
ispiv-189	205	2	worst	bad	ADJ
ispiv-189	205	3	case	case	NOUN
ispiv-189	205	4	error	error	NOUN
ispiv-189	205	5	profile	profile	NOUN
ispiv-189	205	6	in	in	ADP
ispiv-189	205	7	the	the	DET
ispiv-189	205	8	data	data	NOUN
ispiv-189	205	9	field	field	NOUN
ispiv-189	205	10	can	can	AUX
ispiv-189	205	11	be	be	AUX
ispiv-189	205	12	found	find	VERB
ispiv-189	205	13	by	by	ADP
ispiv-189	205	14	solving	solve	VERB
ispiv-189	205	15	an	an	DET
ispiv-189	205	16	eigenvalue	eigenvalue	NOUN
ispiv-189	205	17	problem	problem	NOUN
ispiv-189	205	18	derived	derive	VERB
ispiv-189	205	19	from	from	ADP
ispiv-189	205	20	an	an	DET
ispiv-189	205	21	euler	euler	ADJ
ispiv-189	205	22	-	-	PUNCT
ispiv-189	205	23	lagrange	lagrange	NOUN
ispiv-189	205	24	equation	equation	NOUN
ispiv-189	205	25	maximizing	maximize	VERB
ispiv-189	205	26	the	the	DET
ispiv-189	205	27	the	the	DET
ispiv-189	205	28	error	error	NOUN
ispiv-189	205	29	propagation	propagation	NOUN
ispiv-189	205	30	.	.	PUNCT
ispiv-189	206	1	the	the	DET
ispiv-189	206	2	procedure	procedure	NOUN
ispiv-189	206	3	for	for	ADP
ispiv-189	206	4	finding	find	VERB
ispiv-189	206	5	the	the	DET
ispiv-189	206	6	worst	bad	ADJ
ispiv-189	206	7	error	error	NOUN
ispiv-189	206	8	in	in	ADP
ispiv-189	206	9	the	the	DET
ispiv-189	206	10	data	data	NOUN
ispiv-189	206	11	field	field	NOUN
ispiv-189	206	12	shows	show	VERB
ispiv-189	206	13	how	how	SCONJ
ispiv-189	206	14	the	the	DET
ispiv-189	206	15	profile	profile	NOUN
ispiv-189	206	16	of	of	ADP
ispiv-189	206	17	the	the	DET
ispiv-189	206	18	error	error	NOUN
ispiv-189	206	19	in	in	ADP
ispiv-189	206	20	the	the	DET
ispiv-189	206	21	data	datum	NOUN
ispiv-189	206	22	(	(	PUNCT
ispiv-189	206	23	e.g.	e.g.	ADV
ispiv-189	206	24	,	,	PUNCT
ispiv-189	206	25	spatial	spatial	ADJ
ispiv-189	206	26	frequency	frequency	NOUN
ispiv-189	206	27	and	and	CCONJ
ispiv-189	206	28	location	location	NOUN
ispiv-189	206	29	of	of	ADP
ispiv-189	206	30	error	error	NOUN
ispiv-189	206	31	peaks	peak	NOUN
ispiv-189	206	32	in	in	ADP
ispiv-189	206	33	the	the	DET
ispiv-189	206	34	domain	domain	NOUN
ispiv-189	206	35	)	)	PUNCT
ispiv-189	206	36	coupling	coupling	NOUN
ispiv-189	206	37	with	with	ADP
ispiv-189	206	38	the	the	DET
ispiv-189	206	39	fundamental	fundamental	ADJ
ispiv-189	206	40	features	feature	NOUN
ispiv-189	206	41	of	of	ADP
ispiv-189	206	42	the	the	DET
ispiv-189	206	43	domain	domain	NOUN
ispiv-189	206	44	(	(	PUNCT
ispiv-189	206	45	i.e.	i.e.	X
ispiv-189	206	46	size	size	NOUN
ispiv-189	206	47	,	,	PUNCT
ispiv-189	206	48	dimension	dimension	NOUN
ispiv-189	206	49	,	,	PUNCT
ispiv-189	206	50	type	type	NOUN
ispiv-189	206	51	of	of	ADP
ispiv-189	206	52	bcs	bc	NOUN
ispiv-189	206	53	)	)	PUNCT
ispiv-189	206	54	affects	affect	VERB
ispiv-189	206	55	the	the	DET
ispiv-189	206	56	error	error	NOUN
ispiv-189	206	57	propagation	propagation	NOUN
ispiv-189	206	58	.	.	PUNCT
ispiv-189	207	1	we	we	PRON
ispiv-189	207	2	show	show	VERB
ispiv-189	207	3	that	that	SCONJ
ispiv-189	207	4	the	the	DET
ispiv-189	207	5	euler	euler	PROPN
ispiv-189	207	6	-	-	PUNCT
ispiv-189	207	7	lagrange	lagrange	NOUN
ispiv-189	207	8	equations	equation	NOUN
ispiv-189	207	9	used	use	VERB
ispiv-189	207	10	to	to	PART
ispiv-189	207	11	find	find	VERB
ispiv-189	207	12	the	the	DET
ispiv-189	207	13	worst	bad	ADJ
ispiv-189	207	14	error	error	NOUN
ispiv-189	207	15	function	function	NOUN
ispiv-189	207	16	lead	lead	VERB
ispiv-189	207	17	to	to	ADP
ispiv-189	207	18	the	the	DET
ispiv-189	207	19	same	same	ADJ
ispiv-189	207	20	eigenvalue	eigenvalue	NOUN
ispiv-189	207	21	problem	problem	NOUN
ispiv-189	207	22	from	from	ADP
ispiv-189	207	23	the	the	DET
ispiv-189	207	24	buckling	buckling	NOUN
ispiv-189	207	25	of	of	ADP
ispiv-189	207	26	an	an	DET
ispiv-189	207	27	euler	euler	NOUN
ispiv-189	207	28	-	-	PUNCT
ispiv-189	207	29	bernoulli	bernoulli	NOUN
ispiv-189	207	30	beam	beam	NOUN
ispiv-189	207	31	in	in	ADP
ispiv-189	207	32	1d	1d	NUM
ispiv-189	207	33	and	and	CCONJ
ispiv-189	207	34	a	a	DET
ispiv-189	207	35	kirchoff	kirchoff	NOUN
ispiv-189	207	36	-	-	PUNCT
ispiv-189	207	37	love	love	NOUN
ispiv-189	207	38	plate	plate	NOUN
ispiv-189	207	39	in	in	ADP
ispiv-189	207	40	2d	2d	NOUN
ispiv-189	207	41	.	.	PUNCT
ispiv-189	208	1	the	the	DET
ispiv-189	208	2	data	datum	NOUN
ispiv-189	208	3	field	field	NOUN
ispiv-189	208	4	error	error	NOUN
ispiv-189	208	5	can	can	AUX
ispiv-189	208	6	be	be	AUX
ispiv-189	208	7	thought	think	VERB
ispiv-189	208	8	of	of	ADP
ispiv-189	208	9	as	as	ADP
ispiv-189	208	10	a	a	DET
ispiv-189	208	11	bending	bend	VERB
ispiv-189	208	12	moment	moment	NOUN
ispiv-189	208	13	applied	apply	VERB
ispiv-189	208	14	to	to	ADP
ispiv-189	208	15	an	an	DET
ispiv-189	208	16	elastic	elastic	ADJ
ispiv-189	208	17	body	body	NOUN
ispiv-189	208	18	,	,	PUNCT
ispiv-189	208	19	with	with	ADP
ispiv-189	208	20	the	the	DET
ispiv-189	208	21	resulting	result	VERB
ispiv-189	208	22	pressure	pressure	NOUN
ispiv-189	208	23	field	field	NOUN
ispiv-189	208	24	being	be	AUX
ispiv-189	208	25	equivalent	equivalent	ADJ
ispiv-189	208	26	to	to	ADP
ispiv-189	208	27	the	the	DET
ispiv-189	208	28	deformation	deformation	NOUN
ispiv-189	208	29	of	of	ADP
ispiv-189	208	30	the	the	DET
ispiv-189	208	31	elastic	elastic	ADJ
ispiv-189	208	32	body	body	NOUN
ispiv-189	208	33	.	.	PUNCT
ispiv-189	209	1	thus	thus	ADV
ispiv-189	209	2	,	,	PUNCT
ispiv-189	209	3	being	be	AUX
ispiv-189	209	4	familiar	familiar	ADJ
ispiv-189	209	5	with	with	ADP
ispiv-189	209	6	the	the	DET
ispiv-189	209	7	theories	theory	NOUN
ispiv-189	209	8	of	of	ADP
ispiv-189	209	9	elastic	elastic	ADJ
ispiv-189	209	10	beams	beam	NOUN
ispiv-189	209	11	and	and	CCONJ
ispiv-189	209	12	plates	plate	NOUN
ispiv-189	209	13	(	(	PUNCT
ispiv-189	209	14	timoshenko	timoshenko	NOUN
ispiv-189	209	15	et	et	NOUN
ispiv-189	209	16	al	al	PROPN
ispiv-189	209	17	.	.	PROPN
ispiv-189	209	18	,	,	PUNCT
ispiv-189	209	19	1937	1937	NUM
ispiv-189	209	20	)	)	PUNCT
ispiv-189	209	21	can	can	AUX
ispiv-189	209	22	be	be	AUX
ispiv-189	209	23	useful	useful	ADJ
ispiv-189	209	24	in	in	ADP
ispiv-189	209	25	understanding	understand	VERB
ispiv-189	209	26	error	error	NOUN
ispiv-189	209	27	propagation	propagation	NOUN
ispiv-189	209	28	in	in	ADP
ispiv-189	209	29	v	v	NOUN
ispiv-189	209	30	-	-	PUNCT
ispiv-189	209	31	pressure	pressure	NOUN
ispiv-189	209	32	problems	problem	NOUN
ispiv-189	209	33	in	in	ADP
ispiv-189	209	34	a	a	DET
ispiv-189	209	35	more	more	ADV
ispiv-189	209	36	intuitive	intuitive	ADJ
ispiv-189	209	37	way	way	NOUN
ispiv-189	209	38	.	.	PUNCT
ispiv-189	210	1	we	we	PRON
ispiv-189	210	2	point	point	VERB
ispiv-189	210	3	out	out	ADP
ispiv-189	210	4	that	that	SCONJ
ispiv-189	210	5	error	error	NOUN
ispiv-189	210	6	propagation	propagation	NOUN
ispiv-189	210	7	is	be	AUX
ispiv-189	210	8	significantly	significantly	ADV
ispiv-189	210	9	affected	affect	VERB
ispiv-189	210	10	by	by	ADP
ispiv-189	210	11	the	the	DET
ispiv-189	210	12	location	location	NOUN
ispiv-189	210	13	of	of	ADP
ispiv-189	210	14	the	the	DET
ispiv-189	210	15	error	error	NOUN
ispiv-189	210	16	and	and	CCONJ
ispiv-189	210	17	the	the	DET
ispiv-189	210	18	error	error	NOUN
ispiv-189	210	19	proximity	proximity	NOUN
ispiv-189	210	20	to	to	ADP
ispiv-189	210	21	dirichlet	dirichlet	PROPN
ispiv-189	210	22	and/or	and/or	CCONJ
ispiv-189	210	23	neumann	neumann	PROPN
ispiv-189	210	24	boundaries	boundary	NOUN
ispiv-189	210	25	.	.	PUNCT
ispiv-189	211	1	this	this	DET
ispiv-189	211	2	behavior	behavior	NOUN
ispiv-189	211	3	can	can	AUX
ispiv-189	211	4	be	be	AUX
ispiv-189	211	5	explained	explain	VERB
ispiv-189	211	6	by	by	ADP
ispiv-189	211	7	finding	find	VERB
ispiv-189	211	8	green	green	PROPN
ispiv-189	211	9	’s	’s	PART
ispiv-189	211	10	function	function	NOUN
ispiv-189	211	11	for	for	ADP
ispiv-189	211	12	the	the	DET
ispiv-189	211	13	poisson	poisson	NOUN
ispiv-189	211	14	equation	equation	NOUN
ispiv-189	211	15	using	use	VERB
ispiv-189	211	16	the	the	DET
ispiv-189	211	17	method	method	NOUN
ispiv-189	211	18	of	of	ADP
ispiv-189	211	19	images	image	NOUN
ispiv-189	211	20	.	.	PUNCT
ispiv-189	212	1	this	this	DET
ispiv-189	212	2	result	result	NOUN
ispiv-189	212	3	can	can	AUX
ispiv-189	212	4	also	also	ADV
ispiv-189	212	5	be	be	AUX
ispiv-189	212	6	explained	explain	VERB
ispiv-189	212	7	intuitively	intuitively	ADV
ispiv-189	212	8	using	use	VERB
ispiv-189	212	9	the	the	DET
ispiv-189	212	10	solid	solid	ADJ
ispiv-189	212	11	mechanics	mechanic	NOUN
ispiv-189	212	12	analogy	analogy	NOUN
ispiv-189	212	13	.	.	PUNCT
ispiv-189	213	1	all	all	DET
ispiv-189	213	2	results	result	NOUN
ispiv-189	213	3	in	in	ADP
ispiv-189	213	4	this	this	DET
ispiv-189	213	5	work	work	NOUN
ispiv-189	213	6	represent	represent	VERB
ispiv-189	213	7	fundamental	fundamental	ADJ
ispiv-189	213	8	properties	property	NOUN
ispiv-189	213	9	of	of	ADP
ispiv-189	213	10	the	the	DET
ispiv-189	213	11	poisson	poisson	NOUN
ispiv-189	213	12	equation	equation	NOUN
ispiv-189	213	13	,	,	PUNCT
ispiv-189	213	14	which	which	PRON
ispiv-189	213	15	hold	hold	VERB
ispiv-189	213	16	regardless	regardless	ADV
ispiv-189	213	17	of	of	ADP
ispiv-189	213	18	experimental	experimental	ADJ
ispiv-189	213	19	setup	setup	NOUN
ispiv-189	213	20	and	and	CCONJ
ispiv-189	213	21	choice	choice	NOUN
ispiv-189	213	22	of	of	ADP
ispiv-189	213	23	numerical	numerical	PROPN
ispiv-189	213	24	solver	solver	PROPN
ispiv-189	213	25	.	.	PUNCT
ispiv-189	214	1	the	the	DET
ispiv-189	214	2	results	result	NOUN
ispiv-189	214	3	and	and	CCONJ
ispiv-189	214	4	analogy	analogy	NOUN
ispiv-189	214	5	-	-	PUNCT
ispiv-189	214	6	based	base	VERB
ispiv-189	214	7	method	method	NOUN
ispiv-189	214	8	can	can	AUX
ispiv-189	214	9	help	help	VERB
ispiv-189	214	10	experimentalists	experimentalist	NOUN
ispiv-189	214	11	studying	study	VERB
ispiv-189	214	12	fluid	fluid	ADJ
ispiv-189	214	13	mechanics	mechanic	NOUN
ispiv-189	214	14	to	to	PART
ispiv-189	214	15	design	design	VERB
ispiv-189	214	16	better	well	ADJ
ispiv-189	214	17	tests	test	NOUN
ispiv-189	214	18	which	which	PRON
ispiv-189	214	19	avoid	avoid	VERB
ispiv-189	214	20	error	error	NOUN
ispiv-189	214	21	profiles	profile	NOUN
ispiv-189	214	22	similar	similar	ADJ
ispiv-189	214	23	to	to	ADP
ispiv-189	214	24	the	the	DET
ispiv-189	214	25	worst	bad	ADJ
ispiv-189	214	26	case	case	NOUN
ispiv-189	214	27	,	,	PUNCT
ispiv-189	214	28	and	and	CCONJ
ispiv-189	214	29	limit	limit	VERB
ispiv-189	214	30	the	the	DET
ispiv-189	214	31	error	error	NOUN
ispiv-189	214	32	in	in	ADP
ispiv-189	214	33	sensitive	sensitive	ADJ
ispiv-189	214	34	locations	location	NOUN
ispiv-189	214	35	,	,	PUNCT
ispiv-189	214	36	thus	thus	ADV
ispiv-189	214	37	improving	improve	VERB
ispiv-189	214	38	overall	overall	ADJ
ispiv-189	214	39	accuracy	accuracy	NOUN
ispiv-189	214	40	and	and	CCONJ
ispiv-189	214	41	robustness	robustness	NOUN
ispiv-189	214	42	of	of	ADP
ispiv-189	214	43	the	the	DET
ispiv-189	214	44	test	test	NOUN
ispiv-189	214	45	.	.	PUNCT
ispiv-189	215	1	in	in	ADP
ispiv-189	215	2	addition	addition	NOUN
ispiv-189	215	3	,	,	PUNCT
ispiv-189	215	4	the	the	DET
ispiv-189	215	5	results	result	NOUN
ispiv-189	215	6	can	can	AUX
ispiv-189	215	7	be	be	AUX
ispiv-189	215	8	used	use	VERB
ispiv-189	215	9	to	to	PART
ispiv-189	215	10	create	create	VERB
ispiv-189	215	11	worst	bad	ADJ
ispiv-189	215	12	case	case	NOUN
ispiv-189	215	13	scenarios	scenario	NOUN
ispiv-189	215	14	and	and	CCONJ
ispiv-189	215	15	challenging	challenge	VERB
ispiv-189	215	16	test	test	NOUN
ispiv-189	215	17	cases	case	NOUN
ispiv-189	215	18	to	to	ADP
ispiv-189	215	19	benchmark	benchmark	NOUN
ispiv-189	215	20	v	v	NOUN
ispiv-189	215	21	-	-	PUNCT
ispiv-189	215	22	pressure	pressure	NOUN
ispiv-189	215	23	solvers	solver	NOUN
ispiv-189	215	24	or	or	CCONJ
ispiv-189	215	25	algorithms	algorithm	NOUN
ispiv-189	215	26	.	.	PUNCT
ispiv-189	216	1	finally	finally	ADV
ispiv-189	216	2	,	,	PUNCT
ispiv-189	216	3	we	we	PRON
ispiv-189	216	4	emphasize	emphasize	VERB
ispiv-189	216	5	that	that	SCONJ
ispiv-189	216	6	the	the	DET
ispiv-189	216	7	present	present	ADJ
ispiv-189	216	8	work	work	NOUN
ispiv-189	216	9	studies	study	NOUN
ispiv-189	216	10	how	how	SCONJ
ispiv-189	216	11	error	error	NOUN
ispiv-189	216	12	in	in	ADP
ispiv-189	216	13	the	the	DET
ispiv-189	216	14	data	data	NOUN
ispiv-189	216	15	field	field	NOUN
ispiv-189	216	16	propagates	propagate	VERB
ispiv-189	216	17	to	to	ADP
ispiv-189	216	18	the	the	DET
ispiv-189	216	19	reconstructed	reconstructed	ADJ
ispiv-189	216	20	pressure	pressure	NOUN
ispiv-189	216	21	field	field	NOUN
ispiv-189	216	22	.	.	PUNCT
ispiv-189	217	1	how	how	SCONJ
ispiv-189	217	2	to	to	PART
ispiv-189	217	3	interpret	interpret	VERB
ispiv-189	217	4	error	error	NOUN
ispiv-189	217	5	in	in	ADP
ispiv-189	217	6	the	the	DET
ispiv-189	217	7	data	data	NOUN
ispiv-189	217	8	field	field	NOUN
ispiv-189	217	9	(	(	PUNCT
ispiv-189	217	10	ε	ε	PROPN
ispiv-189	217	11	f	f	PROPN
ispiv-189	217	12	)	)	PUNCT
ispiv-189	217	13	from	from	ADP
ispiv-189	217	14	the	the	DET
ispiv-189	217	15	error	error	NOUN
ispiv-189	217	16	in	in	ADP
ispiv-189	217	17	the	the	DET
ispiv-189	217	18	velocity	velocity	NOUN
ispiv-189	217	19	field	field	NOUN
ispiv-189	217	20	(	(	PUNCT
ispiv-189	217	21	εuuu	εuuu	NOUN
ispiv-189	217	22	)	)	PUNCT
ispiv-189	217	23	can	can	AUX
ispiv-189	217	24	be	be	AUX
ispiv-189	217	25	challenging	challenge	VERB
ispiv-189	217	26	.	.	PUNCT
ispiv-189	218	1	the	the	DET
ispiv-189	218	2	error	error	NOUN
ispiv-189	218	3	propagation	propagation	NOUN
ispiv-189	218	4	analysis	analysis	NOUN
ispiv-189	218	5	from	from	ADP
ispiv-189	218	6	velocity	velocity	NOUN
ispiv-189	218	7	to	to	ADP
ispiv-189	218	8	data	datum	NOUN
ispiv-189	218	9	(	(	PUNCT
ispiv-189	218	10	εuuu	εuuu	NOUN
ispiv-189	218	11	→	→	SYM
ispiv-189	218	12	ε	ε	PROPN
ispiv-189	218	13	f	f	PROPN
ispiv-189	218	14	)	)	PUNCT
ispiv-189	218	15	involves	involve	VERB
ispiv-189	218	16	the	the	DET
ispiv-189	218	17	temporal	temporal	ADJ
ispiv-189	218	18	and	and	CCONJ
ispiv-189	218	19	spatial	spatial	ADJ
ispiv-189	218	20	resolution	resolution	NOUN
ispiv-189	218	21	of	of	ADP
ispiv-189	218	22	velocimetry	velocimetry	NOUN
ispiv-189	218	23	and	and	CCONJ
ispiv-189	218	24	specific	specific	ADJ
ispiv-189	218	25	numerical	numerical	ADJ
ispiv-189	218	26	schemes	scheme	NOUN
ispiv-189	218	27	that	that	PRON
ispiv-189	218	28	evaluate	evaluate	VERB
ispiv-189	218	29	gradients	gradient	NOUN
ispiv-189	218	30	,	,	PUNCT
ispiv-189	218	31	and	and	CCONJ
ispiv-189	218	32	thus	thus	ADV
ispiv-189	218	33	is	be	AUX
ispiv-189	218	34	out	out	ADP
ispiv-189	218	35	of	of	ADP
ispiv-189	218	36	the	the	DET
ispiv-189	218	37	scope	scope	NOUN
ispiv-189	218	38	of	of	ADP
ispiv-189	218	39	the	the	DET
ispiv-189	218	40	current	current	ADJ
ispiv-189	218	41	analytical	analytical	ADJ
ispiv-189	218	42	research	research	NOUN
ispiv-189	218	43	.	.	PUNCT
ispiv-189	219	1	we	we	PRON
ispiv-189	219	2	will	will	AUX
ispiv-189	219	3	leave	leave	VERB
ispiv-189	219	4	this	this	DET
ispiv-189	219	5	topic	topic	NOUN
ispiv-189	219	6	for	for	ADP
ispiv-189	219	7	future	future	ADJ
ispiv-189	219	8	studies	study	NOUN
ispiv-189	219	9	,	,	PUNCT
ispiv-189	219	10	however	however	ADV
ispiv-189	219	11	,	,	PUNCT
ispiv-189	219	12	some	some	DET
ispiv-189	219	13	relevant	relevant	ADJ
ispiv-189	219	14	results	result	NOUN
ispiv-189	219	15	can	can	AUX
ispiv-189	219	16	be	be	AUX
ispiv-189	219	17	found	find	VERB
ispiv-189	219	18	in	in	ADP
ispiv-189	219	19	,	,	PUNCT
ispiv-189	219	20	for	for	ADP
ispiv-189	219	21	example	example	NOUN
ispiv-189	219	22	,	,	PUNCT
ispiv-189	219	23	mcclure	mcclure	NOUN
ispiv-189	219	24	and	and	CCONJ
ispiv-189	219	25	yarusevych	yarusevych	NOUN
ispiv-189	219	26	(	(	PUNCT
ispiv-189	219	27	2019	2019	NUM
ispiv-189	219	28	)	)	PUNCT
ispiv-189	219	29	and	and	CCONJ
ispiv-189	219	30	pan	pan	VERB
ispiv-189	219	31	et	et	PROPN
ispiv-189	219	32	al	al	PROPN
ispiv-189	219	33	.	.	PROPN
ispiv-189	220	1	(	(	PUNCT
ispiv-189	220	2	2018	2018	NUM
ispiv-189	220	3	)	)	PUNCT
ispiv-189	220	4	.	.	PUNCT
ispiv-189	221	1	references	reference	NOUN
ispiv-189	221	2	de	de	PROPN
ispiv-189	221	3	kat	kat	PROPN
ispiv-189	221	4	r	r	PROPN
ispiv-189	221	5	and	and	CCONJ
ispiv-189	221	6	van	van	PROPN
ispiv-189	221	7	oudheusden	oudheusden	PROPN
ispiv-189	221	8	b	b	PROPN
ispiv-189	221	9	(	(	PUNCT
ispiv-189	221	10	2012	2012	NUM
ispiv-189	221	11	)	)	PUNCT
ispiv-189	221	12	instantaneous	instantaneous	ADJ
ispiv-189	221	13	planar	planar	ADJ
ispiv-189	221	14	pressure	pressure	NOUN
ispiv-189	221	15	determination	determination	NOUN
ispiv-189	221	16	from	from	ADP
ispiv-189	221	17	piv	piv	NOUN
ispiv-189	221	18	in	in	ADP
ispiv-189	221	19	turbulent	turbulent	ADJ
ispiv-189	221	20	flow	flow	NOUN
ispiv-189	221	21	.	.	PUNCT
ispiv-189	222	1	experiments	experiment	NOUN
ispiv-189	222	2	in	in	ADP
ispiv-189	222	3	fluids	fluid	NOUN
ispiv-189	222	4	52:1089–1106	52:1089–1106	NUM
ispiv-189	222	5	deem	deem	NOUN
ispiv-189	222	6	ea	ea	INTJ
ispiv-189	222	7	,	,	PUNCT
ispiv-189	222	8	cattafesta	cattafesta	PROPN
ispiv-189	222	9	iii	iii	PROPN
ispiv-189	222	10	ln	ln	ADJ
ispiv-189	222	11	,	,	PUNCT
ispiv-189	222	12	hemati	hemati	PROPN
ispiv-189	222	13	ms	ms	PROPN
ispiv-189	222	14	,	,	PUNCT
ispiv-189	222	15	zhang	zhang	PROPN
ispiv-189	222	16	h	h	PROPN
ispiv-189	222	17	,	,	PUNCT
ispiv-189	222	18	rowley	rowley	VERB
ispiv-189	222	19	c	c	NOUN
ispiv-189	222	20	,	,	PUNCT
ispiv-189	222	21	and	and	CCONJ
ispiv-189	222	22	mittal	mittal	ADJ
ispiv-189	222	23	r	r	NOUN
ispiv-189	222	24	(	(	PUNCT
ispiv-189	222	25	2020	2020	NUM
ispiv-189	222	26	)	)	PUNCT
ispiv-189	222	27	adaptive	adaptive	ADJ
ispiv-189	222	28	separation	separation	NOUN
ispiv-189	222	29	control	control	NOUN
ispiv-189	222	30	of	of	ADP
ispiv-189	222	31	a	a	DET
ispiv-189	222	32	laminar	laminar	ADJ
ispiv-189	222	33	boundary	boundary	ADJ
ispiv-189	222	34	layer	layer	NOUN
ispiv-189	222	35	using	use	VERB
ispiv-189	222	36	online	online	ADJ
ispiv-189	222	37	dynamic	dynamic	ADJ
ispiv-189	222	38	mode	mode	NOUN
ispiv-189	222	39	decomposition	decomposition	NOUN
ispiv-189	222	40	.	.	PUNCT
ispiv-189	223	1	journal	journal	NOUN
ispiv-189	223	2	of	of	ADP
ispiv-189	223	3	fluid	fluid	ADJ
ispiv-189	223	4	mechanics	mechanic	NOUN
ispiv-189	223	5	903	903	NUM
ispiv-189	223	6	:	:	PUNCT
ispiv-189	223	7	a21	a21	NOUN
ispiv-189	223	8	faiella	faiella	PROPN
ispiv-189	223	9	m	m	PROPN
ispiv-189	223	10	,	,	PUNCT
ispiv-189	223	11	macmillan	macmillan	PROPN
ispiv-189	223	12	cgj	cgj	PROPN
ispiv-189	223	13	,	,	PUNCT
ispiv-189	223	14	whitehead	whitehead	PROPN
ispiv-189	223	15	jp	jp	PROPN
ispiv-189	223	16	,	,	PUNCT
ispiv-189	223	17	and	and	CCONJ
ispiv-189	223	18	pan	pan	PROPN
ispiv-189	223	19	z	z	PROPN
ispiv-189	223	20	(	(	PUNCT
ispiv-189	223	21	2021	2021	NUM
ispiv-189	223	22	)	)	PUNCT
ispiv-189	223	23	error	error	NOUN
ispiv-189	223	24	propagation	propagation	NOUN
ispiv-189	223	25	dynamics	dynamic	NOUN
ispiv-189	223	26	of	of	ADP
ispiv-189	223	27	velocimetrybased	velocimetrybase	VERB
ispiv-189	223	28	pressure	pressure	NOUN
ispiv-189	223	29	field	field	NOUN
ispiv-189	223	30	calculations	calculation	NOUN
ispiv-189	223	31	(	(	PUNCT
ispiv-189	223	32	2	2	NUM
ispiv-189	223	33	):	):	PUNCT
ispiv-189	223	34	on	on	ADP
ispiv-189	223	35	the	the	DET
ispiv-189	223	36	error	error	NOUN
ispiv-189	223	37	profile	profile	NOUN
ispiv-189	223	38	.	.	PUNCT
ispiv-189	224	1	measurement	measurement	NOUN
ispiv-189	224	2	science	science	NOUN
ispiv-189	224	3	and	and	CCONJ
ispiv-189	224	4	technology	technology	NOUN
ispiv-189	224	5	32:084005	32:084005	NUM
ispiv-189	224	6	gelfand	gelfand	VERB
ispiv-189	224	7	i	i	PRON
ispiv-189	224	8	m	m	VERB
ispiv-189	224	9	and	and	CCONJ
ispiv-189	224	10	fomin	fomin	VERB
ispiv-189	224	11	sv	sv	INTJ
ispiv-189	224	12	(	(	PUNCT
ispiv-189	224	13	1991	1991	NUM
ispiv-189	224	14	)	)	PUNCT
ispiv-189	224	15	calculus	calculus	NOUN
ispiv-189	224	16	of	of	ADP
ispiv-189	224	17	variations	variation	NOUN
ispiv-189	224	18	.	.	PUNCT
ispiv-189	225	1	dover	dover	PROPN
ispiv-189	225	2	harris	harris	PROPN
ispiv-189	225	3	cm	cm	PROPN
ispiv-189	225	4	and	and	CCONJ
ispiv-189	225	5	piersol	piersol	PROPN
ispiv-189	225	6	ag	ag	PROPN
ispiv-189	225	7	(	(	PUNCT
ispiv-189	225	8	2002	2002	NUM
ispiv-189	225	9	)	)	PUNCT
ispiv-189	225	10	harris	harris	PROPN
ispiv-189	225	11	’	'	PUNCT
ispiv-189	225	12	shock	shock	NOUN
ispiv-189	225	13	and	and	CCONJ
ispiv-189	225	14	vibration	vibration	NOUN
ispiv-189	225	15	handbook	handbook	NOUN
ispiv-189	225	16	.	.	PUNCT
ispiv-189	226	1	volume	volume	NOUN
ispiv-189	226	2	5	5	NUM
ispiv-189	226	3	.	.	PUNCT
ispiv-189	226	4	mcgraw	mcgraw	PROPN
ispiv-189	226	5	-	-	PUNCT
ispiv-189	226	6	hill	hill	PROPN
ispiv-189	226	7	new	new	PROPN
ispiv-189	226	8	york	york	PROPN
ispiv-189	226	9	mcclure	mcclure	PROPN
ispiv-189	226	10	j	j	PROPN
ispiv-189	226	11	and	and	CCONJ
ispiv-189	226	12	yarusevych	yarusevych	NOUN
ispiv-189	226	13	s	s	PART
ispiv-189	226	14	(	(	PUNCT
ispiv-189	226	15	2019	2019	NUM
ispiv-189	226	16	)	)	PUNCT
ispiv-189	226	17	generalized	generalized	ADJ
ispiv-189	226	18	framework	framework	NOUN
ispiv-189	226	19	for	for	ADP
ispiv-189	226	20	piv	piv	NOUN
ispiv-189	226	21	-	-	PUNCT
ispiv-189	226	22	based	base	VERB
ispiv-189	226	23	pressure	pressure	NOUN
ispiv-189	226	24	gradient	gradient	NOUN
ispiv-189	226	25	error	error	NOUN
ispiv-189	226	26	field	field	NOUN
ispiv-189	226	27	determination	determination	NOUN
ispiv-189	226	28	and	and	CCONJ
ispiv-189	226	29	correction	correction	NOUN
ispiv-189	226	30	.	.	PUNCT
ispiv-189	227	1	measurement	measurement	NOUN
ispiv-189	227	2	science	science	NOUN
ispiv-189	227	3	and	and	CCONJ
ispiv-189	227	4	technology	technology	NOUN
ispiv-189	227	5	30:084005	30:084005	NUM
ispiv-189	227	6	pan	pan	VERB
ispiv-189	227	7	z	z	PROPN
ispiv-189	227	8	,	,	PUNCT
ispiv-189	227	9	whitehead	whitehead	PROPN
ispiv-189	227	10	j	j	PROPN
ispiv-189	227	11	,	,	PUNCT
ispiv-189	227	12	thomson	thomson	PROPN
ispiv-189	227	13	s	s	PROPN
ispiv-189	227	14	,	,	PUNCT
ispiv-189	227	15	and	and	CCONJ
ispiv-189	227	16	truscott	truscott	PROPN
ispiv-189	227	17	t	t	PROPN
ispiv-189	227	18	(	(	PUNCT
ispiv-189	227	19	2016	2016	NUM
ispiv-189	227	20	)	)	PUNCT
ispiv-189	227	21	error	error	NOUN
ispiv-189	227	22	propagation	propagation	NOUN
ispiv-189	227	23	dynamics	dynamic	NOUN
ispiv-189	227	24	of	of	ADP
ispiv-189	227	25	piv	piv	NOUN
ispiv-189	227	26	-	-	PUNCT
ispiv-189	227	27	based	base	VERB
ispiv-189	227	28	pressure	pressure	NOUN
ispiv-189	227	29	field	field	NOUN
ispiv-189	227	30	calculations	calculation	NOUN
ispiv-189	227	31	:	:	PUNCT
ispiv-189	227	32	how	how	SCONJ
ispiv-189	227	33	well	well	ADV
ispiv-189	227	34	does	do	AUX
ispiv-189	227	35	the	the	DET
ispiv-189	227	36	pressure	pressure	NOUN
ispiv-189	227	37	poisson	poisson	NOUN
ispiv-189	227	38	solver	solver	NOUN
ispiv-189	227	39	perform	perform	VERB
ispiv-189	227	40	inherently	inherently	ADV
ispiv-189	227	41	?	?	PUNCT
ispiv-189	227	42	.	.	PUNCT
ispiv-189	228	1	measurement	measurement	NOUN
ispiv-189	228	2	science	science	NOUN
ispiv-189	228	3	and	and	CCONJ
ispiv-189	228	4	technology	technology	NOUN
ispiv-189	228	5	27:084012	27:084012	PROPN
ispiv-189	228	6	pan	pan	PROPN
ispiv-189	228	7	z	z	PROPN
ispiv-189	228	8	,	,	PUNCT
ispiv-189	228	9	whitehead	whitehead	PROPN
ispiv-189	228	10	jp	jp	PROPN
ispiv-189	228	11	,	,	PUNCT
ispiv-189	228	12	richards	richards	PROPN
ispiv-189	228	13	g	g	PROPN
ispiv-189	228	14	,	,	PUNCT
ispiv-189	228	15	truscott	truscott	PROPN
ispiv-189	228	16	tt	tt	PROPN
ispiv-189	228	17	,	,	PUNCT
ispiv-189	228	18	and	and	CCONJ
ispiv-189	228	19	smith	smith	PROPN
ispiv-189	228	20	bl	bl	PROPN
ispiv-189	228	21	(	(	PUNCT
ispiv-189	228	22	2018	2018	NUM
ispiv-189	228	23	)	)	PUNCT
ispiv-189	228	24	error	error	NOUN
ispiv-189	228	25	propagation	propagation	NOUN
ispiv-189	228	26	dynamics	dynamic	NOUN
ispiv-189	228	27	of	of	ADP
ispiv-189	228	28	pivbased	pivbase	VERB
ispiv-189	228	29	pressure	pressure	NOUN
ispiv-189	228	30	field	field	NOUN
ispiv-189	228	31	calculation	calculation	NOUN
ispiv-189	228	32	(	(	PUNCT
ispiv-189	228	33	3	3	NUM
ispiv-189	228	34	):	):	PUNCT
ispiv-189	228	35	what	what	PRON
ispiv-189	228	36	is	be	AUX
ispiv-189	228	37	the	the	DET
ispiv-189	228	38	minimum	minimum	ADJ
ispiv-189	228	39	resolvable	resolvable	ADJ
ispiv-189	228	40	pressure	pressure	NOUN
ispiv-189	228	41	in	in	ADP
ispiv-189	228	42	a	a	DET
ispiv-189	228	43	reconstructed	reconstructed	ADJ
ispiv-189	228	44	field	field	NOUN
ispiv-189	228	45	?	?	PUNCT
ispiv-189	228	46	.	.	PUNCT
ispiv-189	229	1	arxiv	arxiv	PROPN
ispiv-189	229	2	preprint	preprint	PROPN
ispiv-189	229	3	arxiv:180703958	arxiv:180703958	PROPN
ispiv-189	229	4	pereira	pereira	PROPN
ispiv-189	229	5	ltl	ltl	PROPN
ispiv-189	229	6	,	,	PUNCT
ispiv-189	229	7	ragni	ragni	PROPN
ispiv-189	229	8	d	d	PROPN
ispiv-189	229	9	,	,	PUNCT
ispiv-189	229	10	avallone	avallone	NOUN
ispiv-189	229	11	f	f	NOUN
ispiv-189	229	12	,	,	PUNCT
ispiv-189	229	13	and	and	CCONJ
ispiv-189	229	14	scarano	scarano	ADJ
ispiv-189	229	15	f	f	PROPN
ispiv-189	229	16	(	(	PUNCT
ispiv-189	229	17	2020	2020	NUM
ispiv-189	229	18	)	)	PUNCT
ispiv-189	229	19	pressure	pressure	NOUN
ispiv-189	229	20	fluctuations	fluctuation	NOUN
ispiv-189	229	21	from	from	ADP
ispiv-189	229	22	large	large	ADJ
ispiv-189	229	23	-	-	PUNCT
ispiv-189	229	24	scale	scale	NOUN
ispiv-189	229	25	piv	piv	NOUN
ispiv-189	229	26	over	over	ADP
ispiv-189	229	27	a	a	DET
ispiv-189	229	28	serrated	serrate	VERB
ispiv-189	229	29	trailing	trailing	NOUN
ispiv-189	229	30	edge	edge	NOUN
ispiv-189	229	31	.	.	PUNCT
ispiv-189	230	1	experiments	experiment	NOUN
ispiv-189	230	2	in	in	ADP
ispiv-189	230	3	fluids	fluid	NOUN
ispiv-189	230	4	61:1–17	61:1–17	NUM
ispiv-189	230	5	raffel	raffel	NOUN
ispiv-189	230	6	m	m	PROPN
ispiv-189	230	7	,	,	PUNCT
ispiv-189	230	8	willert	willert	PROPN
ispiv-189	230	9	ce	ce	PROPN
ispiv-189	230	10	,	,	PUNCT
ispiv-189	230	11	scarano	scarano	PROPN
ispiv-189	230	12	f	f	X
ispiv-189	230	13	,	,	PUNCT
ispiv-189	230	14	kähler	kähler	PROPN
ispiv-189	230	15	cj	cj	PROPN
ispiv-189	230	16	,	,	PUNCT
ispiv-189	230	17	wereley	wereley	PROPN
ispiv-189	230	18	st	st	PROPN
ispiv-189	230	19	,	,	PUNCT
ispiv-189	230	20	and	and	CCONJ
ispiv-189	230	21	kompenhans	kompenhans	PROPN
ispiv-189	230	22	j	j	PROPN
ispiv-189	230	23	(	(	PUNCT
ispiv-189	230	24	2018	2018	NUM
ispiv-189	230	25	)	)	PUNCT
ispiv-189	230	26	particle	particle	NOUN
ispiv-189	230	27	image	image	NOUN
ispiv-189	230	28	velocimetry	velocimetry	NOUN
ispiv-189	230	29	:	:	PUNCT
ispiv-189	230	30	a	a	DET
ispiv-189	230	31	practical	practical	ADJ
ispiv-189	230	32	guide	guide	NOUN
ispiv-189	230	33	.	.	PUNCT
ispiv-189	231	1	springer	springer	NOUN
ispiv-189	231	2	sciacchitano	sciacchitano	VERB
ispiv-189	231	3	a	a	DET
ispiv-189	231	4	(	(	PUNCT
ispiv-189	231	5	2019	2019	NUM
ispiv-189	231	6	)	)	PUNCT
ispiv-189	231	7	uncertainty	uncertainty	NOUN
ispiv-189	231	8	quantification	quantification	NOUN
ispiv-189	231	9	in	in	ADP
ispiv-189	231	10	particle	particle	NOUN
ispiv-189	231	11	image	image	NOUN
ispiv-189	231	12	velocimetry	velocimetry	NOUN
ispiv-189	231	13	.	.	PUNCT
ispiv-189	232	1	measurement	measurement	NOUN
ispiv-189	232	2	science	science	NOUN
ispiv-189	232	3	and	and	CCONJ
ispiv-189	232	4	technology	technology	NOUN
ispiv-189	233	1	30:092001	30:092001	NUM
ispiv-189	233	2	tikhonov	tikhonov	NOUN
ispiv-189	233	3	an	an	PRON
ispiv-189	233	4	and	and	CCONJ
ispiv-189	233	5	samarskii	samarskii	VERB
ispiv-189	233	6	aa	aa	PROPN
ispiv-189	233	7	(	(	PUNCT
ispiv-189	233	8	2013	2013	NUM
ispiv-189	233	9	)	)	PUNCT
ispiv-189	233	10	equations	equation	NOUN
ispiv-189	233	11	of	of	ADP
ispiv-189	233	12	mathematical	mathematical	ADJ
ispiv-189	233	13	physics	physics	NOUN
ispiv-189	233	14	.	.	PUNCT
ispiv-189	234	1	courier	courier	NOUN
ispiv-189	234	2	corporation	corporation	NOUN
ispiv-189	234	3	timoshenko	timoshenko	NOUN
ispiv-189	234	4	s	s	VERB
ispiv-189	234	5	et	et	NOUN
ispiv-189	234	6	al	al	PROPN
ispiv-189	234	7	.	.	PROPN
ispiv-189	235	1	(	(	PUNCT
ispiv-189	235	2	1937	1937	NUM
ispiv-189	235	3	)	)	PUNCT
ispiv-189	235	4	vibration	vibration	NOUN
ispiv-189	235	5	problems	problem	NOUN
ispiv-189	235	6	in	in	ADP
ispiv-189	235	7	engineering	engineering	NOUN
ispiv-189	235	8	.	.	PUNCT
ispiv-189	236	1	technical	technical	ADJ
ispiv-189	236	2	report	report	PROPN
ispiv-189	236	3	wieneke	wieneke	PROPN
ispiv-189	236	4	b	b	PROPN
ispiv-189	236	5	(	(	PUNCT
ispiv-189	236	6	2017	2017	NUM
ispiv-189	236	7	)	)	PUNCT
ispiv-189	236	8	piv	piv	NOUN
ispiv-189	236	9	uncertainty	uncertainty	NOUN
ispiv-189	236	10	quantification	quantification	NOUN
ispiv-189	236	11	and	and	CCONJ
ispiv-189	236	12	beyond	beyond	ADP
ispiv-189	236	13	.	.	PUNCT
ispiv-189	237	1	ph.d	ph.d	PROPN
ispiv-189	237	2	.	.	PUNCT
ispiv-189	238	1	thesis	thesis	PROPN
ispiv-189	238	2	.	.	PUNCT
ispiv-189	239	1	delft	delft	PROPN
ispiv-189	239	2	university	university	PROPN
ispiv-189	239	3	of	of	ADP
ispiv-189	239	4	technology	technology	PROPN
ispiv-189	239	5	zhang	zhang	PROPN
ispiv-189	239	6	j	j	PROPN
ispiv-189	239	7	,	,	PUNCT
ispiv-189	239	8	brindise	brindise	PROPN
ispiv-189	239	9	mc	mc	PROPN
ispiv-189	239	10	,	,	PUNCT
ispiv-189	239	11	rothenberger	rothenberger	PROPN
ispiv-189	239	12	s	s	PROPN
ispiv-189	239	13	,	,	PUNCT
ispiv-189	239	14	schnell	schnell	PROPN
ispiv-189	239	15	s	s	PROPN
ispiv-189	239	16	,	,	PUNCT
ispiv-189	239	17	markl	markl	PROPN
ispiv-189	239	18	m	m	PROPN
ispiv-189	239	19	,	,	PUNCT
ispiv-189	239	20	saloner	saloner	PROPN
ispiv-189	239	21	d	d	PROPN
ispiv-189	239	22	,	,	PUNCT
ispiv-189	239	23	rayz	rayz	NOUN
ispiv-189	239	24	vl	vl	NOUN
ispiv-189	239	25	,	,	PUNCT
ispiv-189	239	26	and	and	CCONJ
ispiv-189	239	27	vlachos	vlachos	ADV
ispiv-189	239	28	pp	pp	PROPN
ispiv-189	239	29	(	(	PUNCT
ispiv-189	239	30	2020	2020	NUM
ispiv-189	239	31	)	)	PUNCT
ispiv-189	239	32	4d	4d	NUM
ispiv-189	239	33	flow	flow	NOUN
ispiv-189	239	34	mri	mri	NOUN
ispiv-189	239	35	pressure	pressure	NOUN
ispiv-189	239	36	estimation	estimation	NOUN
ispiv-189	239	37	using	use	VERB
ispiv-189	239	38	velocity	velocity	NOUN
ispiv-189	239	39	measurement	measurement	NOUN
ispiv-189	239	40	-	-	PUNCT
ispiv-189	239	41	error	error	NOUN
ispiv-189	239	42	-	-	PUNCT
ispiv-189	239	43	based	base	VERB
ispiv-189	239	44	weighted	weight	VERB
ispiv-189	239	45	least	least	ADJ
ispiv-189	239	46	-	-	PUNCT
ispiv-189	239	47	squares	square	NOUN
ispiv-189	239	48	.	.	PUNCT
ispiv-189	240	1	ieee	ieee	NOUN
ispiv-189	240	2	transactions	transaction	NOUN
ispiv-189	240	3	on	on	ADP
ispiv-189	240	4	medical	medical	ADJ
ispiv-189	240	5	imaging	imaging	NOUN
ispiv-189	240	6	39:1668–1680	39:1668–1680	NUM
ispiv-189	240	7	zhang	zhang	PROPN
ispiv-189	240	8	p	p	PROPN
ispiv-189	240	9	and	and	CCONJ
ispiv-189	240	10	porfiri	porfiri	NOUN
ispiv-189	240	11	m	m	PROPN
ispiv-189	240	12	(	(	PUNCT
ispiv-189	240	13	2019	2019	NUM
ispiv-189	240	14	)	)	PUNCT
ispiv-189	240	15	a	a	DET
ispiv-189	240	16	combined	combine	VERB
ispiv-189	240	17	digital	digital	ADJ
ispiv-189	240	18	image	image	NOUN
ispiv-189	240	19	correlation	correlation	NOUN
ispiv-189	240	20	/	/	SYM
ispiv-189	240	21	particle	particle	NOUN
ispiv-189	240	22	image	image	NOUN
ispiv-189	240	23	velocimetry	velocimetry	NOUN
ispiv-189	240	24	study	study	NOUN
ispiv-189	240	25	of	of	ADP
ispiv-189	240	26	water	water	NOUN
ispiv-189	240	27	-	-	PUNCT
ispiv-189	240	28	backed	back	VERB
ispiv-189	240	29	impact	impact	NOUN
ispiv-189	240	30	.	.	PUNCT
ispiv-189	241	1	composite	composite	ADJ
ispiv-189	241	2	structures	structure	NOUN
ispiv-189	241	3	224:111010	224:111010	NUM
ispiv-189	241	4	introduction	introduction	NOUN
ispiv-189	241	5	worst	bad	ADJ
ispiv-189	241	6	case	case	NOUN
ispiv-189	241	7	error	error	NOUN
ispiv-189	241	8	and	and	CCONJ
ispiv-189	241	9	the	the	DET
ispiv-189	241	10	effect	effect	NOUN
ispiv-189	241	11	of	of	ADP
ispiv-189	241	12	fundamental	fundamental	ADJ
ispiv-189	241	13	domain	domain	NOUN
ispiv-189	241	14	configuration	configuration	NOUN
ispiv-189	241	15	analogy	analogy	NOUN
ispiv-189	241	16	to	to	ADP
ispiv-189	241	17	bulking	bulk	VERB
ispiv-189	241	18	elastic	elastic	ADJ
ispiv-189	241	19	bodies	body	NOUN
ispiv-189	241	20	impact	impact	NOUN
ispiv-189	241	21	of	of	ADP
ispiv-189	241	22	the	the	DET
ispiv-189	241	23	location	location	NOUN
ispiv-189	241	24	of	of	ADP
ispiv-189	241	25	the	the	DET
ispiv-189	241	26	error	error	NOUN
ispiv-189	241	27	conclusion	conclusion	NOUN