id	sid	tid	token	lemma	pos
app01-8107	1	1	acta	acta	PROPN
app01-8107	1	2	polytechnica	polytechnica	PROPN
app01-8107	1	3	ctu	ctu	PROPN
app01-8107	1	4	proceedings	proceeding	NOUN
app01-8107	1	5	https://doi.org/10.14311/app.2022.34.0043	https://doi.org/10.14311/app.2022.34.0043	PROPN
app01-8107	1	6	acta	acta	PROPN
app01-8107	1	7	polytechnica	polytechnica	PROPN
app01-8107	1	8	ctu	ctu	NOUN
app01-8107	1	9	proceedings	proceeding	NOUN
app01-8107	1	10	34:43–49	34:43–49	NUM
app01-8107	1	11	,	,	PUNCT
app01-8107	1	12	2022	2022	NUM
app01-8107	1	13	©	©	ADP
app01-8107	1	14	2022	2022	NUM
app01-8107	1	15	the	the	DET
app01-8107	1	16	author(s	author(s	NOUN
app01-8107	1	17	)	)	PUNCT
app01-8107	1	18	.	.	PUNCT
app01-8107	2	1	licensed	license	VERB
app01-8107	2	2	under	under	ADP
app01-8107	2	3	a	a	DET
app01-8107	2	4	cc	cc	NOUN
app01-8107	2	5	-	-	PUNCT
app01-8107	2	6	by	by	ADP
app01-8107	2	7	4.0	4.0	NUM
app01-8107	2	8	licence	licence	NOUN
app01-8107	2	9	published	publish	VERB
app01-8107	2	10	by	by	ADP
app01-8107	2	11	the	the	DET
app01-8107	2	12	czech	czech	PROPN
app01-8107	2	13	technical	technical	PROPN
app01-8107	2	14	university	university	PROPN
app01-8107	2	15	in	in	ADP
app01-8107	2	16	prague	prague	PROPN
app01-8107	2	17	comparison	comparison	NOUN
app01-8107	2	18	of	of	ADP
app01-8107	2	19	feti	feti	PROPN
app01-8107	2	20	-	-	PUNCT
app01-8107	2	21	based	base	VERB
app01-8107	2	22	domain	domain	NOUN
app01-8107	2	23	decomposition	decomposition	NOUN
app01-8107	2	24	methods	method	NOUN
app01-8107	2	25	for	for	ADP
app01-8107	2	26	topology	topology	NOUN
app01-8107	2	27	optimization	optimization	NOUN
app01-8107	2	28	problems	problem	NOUN
app01-8107	2	29	tomáš	tomáš	ADP
app01-8107	2	30	medřickýa,∗	medřickýa,∗	PROPN
app01-8107	2	31	,	,	PUNCT
app01-8107	2	32	martin	martin	PROPN
app01-8107	2	33	doškářa	doškářa	PROPN
app01-8107	2	34	,	,	PUNCT
app01-8107	2	35	ivana	ivana	PROPN
app01-8107	2	36	pultarováb	pultarováb	NOUN
app01-8107	2	37	,	,	PUNCT
app01-8107	2	38	jan	jan	PROPN
app01-8107	2	39	zemana	zemana	PROPN
app01-8107	2	40	a	a	DET
app01-8107	2	41	czech	czech	PROPN
app01-8107	2	42	technical	technical	PROPN
app01-8107	2	43	university	university	PROPN
app01-8107	2	44	in	in	ADP
app01-8107	2	45	prague	prague	PROPN
app01-8107	2	46	,	,	PUNCT
app01-8107	2	47	faculty	faculty	NOUN
app01-8107	2	48	of	of	ADP
app01-8107	2	49	civil	civil	ADJ
app01-8107	2	50	engineering	engineering	NOUN
app01-8107	2	51	,	,	PUNCT
app01-8107	2	52	department	department	NOUN
app01-8107	2	53	of	of	ADP
app01-8107	2	54	mechanics	mechanic	NOUN
app01-8107	2	55	,	,	PUNCT
app01-8107	2	56	thákurova	thákurova	X
app01-8107	2	57	7	7	NUM
app01-8107	2	58	,	,	PUNCT
app01-8107	2	59	166	166	NUM
app01-8107	2	60	29	29	NUM
app01-8107	2	61	prague	prague	NOUN
app01-8107	2	62	,	,	PUNCT
app01-8107	2	63	czech	czech	PROPN
app01-8107	2	64	republic	republic	PROPN
app01-8107	2	65	b	b	PROPN
app01-8107	2	66	czech	czech	PROPN
app01-8107	2	67	technical	technical	PROPN
app01-8107	2	68	university	university	PROPN
app01-8107	2	69	in	in	ADP
app01-8107	2	70	prague	prague	PROPN
app01-8107	2	71	,	,	PUNCT
app01-8107	2	72	faculty	faculty	NOUN
app01-8107	2	73	of	of	ADP
app01-8107	2	74	civil	civil	ADJ
app01-8107	2	75	engineering	engineering	NOUN
app01-8107	2	76	,	,	PUNCT
app01-8107	2	77	department	department	NOUN
app01-8107	2	78	of	of	ADP
app01-8107	2	79	mathematics	mathematic	NOUN
app01-8107	2	80	,	,	PUNCT
app01-8107	2	81	thákurova	thákurova	X
app01-8107	2	82	7	7	NUM
app01-8107	2	83	,	,	PUNCT
app01-8107	2	84	166	166	NUM
app01-8107	2	85	29	29	NUM
app01-8107	2	86	prague	prague	NOUN
app01-8107	2	87	,	,	PUNCT
app01-8107	2	88	czech	czech	PROPN
app01-8107	2	89	republic	republic	NOUN
app01-8107	2	90	∗	∗	NOUN
app01-8107	2	91	corresponding	correspond	VERB
app01-8107	2	92	author	author	NOUN
app01-8107	2	93	:	:	PUNCT
app01-8107	2	94	tomas.medricky@fsv.cvut.cz	tomas.medricky@fsv.cvut.cz	NUM
app01-8107	2	95	abstract	abstract	ADJ
app01-8107	2	96	.	.	PUNCT
app01-8107	3	1	we	we	PRON
app01-8107	3	2	critically	critically	ADV
app01-8107	3	3	assess	assess	VERB
app01-8107	3	4	the	the	DET
app01-8107	3	5	performance	performance	NOUN
app01-8107	3	6	of	of	ADP
app01-8107	3	7	several	several	ADJ
app01-8107	3	8	variants	variant	NOUN
app01-8107	3	9	of	of	ADP
app01-8107	3	10	dual	dual	ADJ
app01-8107	3	11	and	and	CCONJ
app01-8107	3	12	dual	dual	ADJ
app01-8107	3	13	-	-	PUNCT
app01-8107	3	14	primal	primal	ADJ
app01-8107	3	15	domain	domain	NOUN
app01-8107	3	16	decomposition	decomposition	NOUN
app01-8107	3	17	strategies	strategy	NOUN
app01-8107	3	18	in	in	ADP
app01-8107	3	19	problems	problem	NOUN
app01-8107	3	20	with	with	ADP
app01-8107	3	21	fixed	fix	VERB
app01-8107	3	22	subdomain	subdomain	NOUN
app01-8107	3	23	partitioning	partitioning	NOUN
app01-8107	3	24	and	and	CCONJ
app01-8107	3	25	high	high	ADJ
app01-8107	3	26	heterogeneity	heterogeneity	NOUN
app01-8107	3	27	in	in	ADP
app01-8107	3	28	stiffness	stiffness	ADJ
app01-8107	3	29	coefficients	coefficient	NOUN
app01-8107	3	30	typically	typically	ADV
app01-8107	3	31	arising	arise	VERB
app01-8107	3	32	in	in	ADP
app01-8107	3	33	topology	topology	NOUN
app01-8107	3	34	optimization	optimization	NOUN
app01-8107	3	35	of	of	ADP
app01-8107	3	36	modular	modular	ADJ
app01-8107	3	37	structures	structure	NOUN
app01-8107	3	38	.	.	PUNCT
app01-8107	4	1	our	our	PRON
app01-8107	4	2	study	study	NOUN
app01-8107	4	3	considers	consider	VERB
app01-8107	4	4	total	total	ADJ
app01-8107	4	5	feti	feti	NOUN
app01-8107	4	6	and	and	CCONJ
app01-8107	4	7	feti	feti	PROPN
app01-8107	4	8	dual	dual	ADJ
app01-8107	4	9	-	-	PUNCT
app01-8107	4	10	primal	primal	ADJ
app01-8107	4	11	methods	method	NOUN
app01-8107	4	12	along	along	ADP
app01-8107	4	13	with	with	ADP
app01-8107	4	14	three	three	NUM
app01-8107	4	15	enhancements	enhancement	NOUN
app01-8107	4	16	:	:	PUNCT
app01-8107	4	17	k	k	ADJ
app01-8107	4	18	-	-	ADJ
app01-8107	4	19	scaling	scaling	ADJ
app01-8107	4	20	,	,	PUNCT
app01-8107	4	21	full	full	ADJ
app01-8107	4	22	orthogonalization	orthogonalization	NOUN
app01-8107	4	23	of	of	ADP
app01-8107	4	24	the	the	DET
app01-8107	4	25	search	search	NOUN
app01-8107	4	26	directions	direction	NOUN
app01-8107	4	27	,	,	PUNCT
app01-8107	4	28	and	and	CCONJ
app01-8107	4	29	considering	consider	VERB
app01-8107	4	30	multiple	multiple	ADJ
app01-8107	4	31	search	search	NOUN
app01-8107	4	32	-	-	PUNCT
app01-8107	4	33	direction	direction	NOUN
app01-8107	4	34	at	at	ADP
app01-8107	4	35	once	once	ADV
app01-8107	4	36	,	,	PUNCT
app01-8107	4	37	which	which	PRON
app01-8107	4	38	gives	give	VERB
app01-8107	4	39	us	we	PRON
app01-8107	4	40	twelve	twelve	NUM
app01-8107	4	41	variants	variant	NOUN
app01-8107	4	42	in	in	ADP
app01-8107	4	43	total	total	NOUN
app01-8107	4	44	.	.	PUNCT
app01-8107	5	1	we	we	PRON
app01-8107	5	2	test	test	VERB
app01-8107	5	3	these	these	DET
app01-8107	5	4	variants	variant	NOUN
app01-8107	5	5	both	both	CCONJ
app01-8107	5	6	on	on	ADP
app01-8107	5	7	academic	academic	ADJ
app01-8107	5	8	examples	example	NOUN
app01-8107	5	9	and	and	CCONJ
app01-8107	5	10	snapshots	snapshot	NOUN
app01-8107	5	11	of	of	ADP
app01-8107	5	12	topology	topology	NOUN
app01-8107	5	13	optimization	optimization	NOUN
app01-8107	5	14	iterations	iteration	NOUN
app01-8107	5	15	.	.	PUNCT
app01-8107	6	1	based	base	VERB
app01-8107	6	2	on	on	ADP
app01-8107	6	3	the	the	DET
app01-8107	6	4	results	result	NOUN
app01-8107	6	5	,	,	PUNCT
app01-8107	6	6	we	we	PRON
app01-8107	6	7	conclude	conclude	VERB
app01-8107	6	8	that	that	SCONJ
app01-8107	6	9	(	(	PUNCT
app01-8107	6	10	i	i	NOUN
app01-8107	6	11	)	)	PUNCT
app01-8107	6	12	the	the	DET
app01-8107	6	13	original	original	ADJ
app01-8107	6	14	methods	method	NOUN
app01-8107	6	15	exhibit	exhibit	VERB
app01-8107	6	16	very	very	ADV
app01-8107	6	17	slow	slow	ADJ
app01-8107	6	18	convergence	convergence	NOUN
app01-8107	6	19	in	in	ADP
app01-8107	6	20	the	the	DET
app01-8107	6	21	presence	presence	NOUN
app01-8107	6	22	of	of	ADP
app01-8107	6	23	severe	severe	ADJ
app01-8107	6	24	heterogeneity	heterogeneity	NOUN
app01-8107	6	25	in	in	ADP
app01-8107	6	26	stiffness	stiffness	ADJ
app01-8107	6	27	coefficients	coefficient	NOUN
app01-8107	6	28	,	,	PUNCT
app01-8107	6	29	which	which	PRON
app01-8107	6	30	makes	make	VERB
app01-8107	6	31	them	they	PRON
app01-8107	6	32	practically	practically	ADV
app01-8107	6	33	useless	useless	ADJ
app01-8107	6	34	,	,	PUNCT
app01-8107	6	35	(	(	PUNCT
app01-8107	6	36	ii	ii	NOUN
app01-8107	6	37	)	)	PUNCT
app01-8107	6	38	the	the	DET
app01-8107	6	39	full	full	ADJ
app01-8107	6	40	orthogonalization	orthogonalization	NOUN
app01-8107	6	41	enhancement	enhancement	NOUN
app01-8107	6	42	helps	help	VERB
app01-8107	6	43	only	only	ADV
app01-8107	6	44	for	for	ADP
app01-8107	6	45	mild	mild	ADJ
app01-8107	6	46	heterogeneity	heterogeneity	NOUN
app01-8107	6	47	,	,	PUNCT
app01-8107	6	48	and	and	CCONJ
app01-8107	6	49	(	(	PUNCT
app01-8107	6	50	iii	iii	X
app01-8107	6	51	)	)	PUNCT
app01-8107	6	52	the	the	DET
app01-8107	6	53	only	only	ADJ
app01-8107	6	54	robust	robust	ADJ
app01-8107	6	55	method	method	NOUN
app01-8107	6	56	is	be	AUX
app01-8107	6	57	feti	feti	NOUN
app01-8107	6	58	dual	dual	ADJ
app01-8107	6	59	-	-	PUNCT
app01-8107	6	60	primal	primal	ADJ
app01-8107	6	61	with	with	ADP
app01-8107	6	62	multiple	multiple	ADJ
app01-8107	6	63	search	search	NOUN
app01-8107	6	64	direction	direction	NOUN
app01-8107	6	65	and	and	CCONJ
app01-8107	6	66	k	k	NOUN
app01-8107	6	67	-	-	ADJ
app01-8107	6	68	scaling	scaling	NOUN
app01-8107	6	69	.	.	PUNCT
app01-8107	7	1	keywords	keyword	NOUN
app01-8107	7	2	:	:	PUNCT
app01-8107	7	3	total	total	ADJ
app01-8107	7	4	feti	feti	PROPN
app01-8107	7	5	,	,	PUNCT
app01-8107	7	6	feti	feti	PROPN
app01-8107	7	7	dual	dual	ADJ
app01-8107	7	8	-	-	PUNCT
app01-8107	7	9	primal	primal	ADJ
app01-8107	7	10	,	,	PUNCT
app01-8107	7	11	topology	topology	NOUN
app01-8107	7	12	optimization	optimization	NOUN
app01-8107	7	13	,	,	PUNCT
app01-8107	7	14	heterogeneous	heterogeneous	ADJ
app01-8107	7	15	problems	problem	NOUN
app01-8107	7	16	,	,	PUNCT
app01-8107	7	17	k	k	NOUN
app01-8107	7	18	-	-	ADJ
app01-8107	7	19	scaling	scaling	ADJ
app01-8107	7	20	,	,	PUNCT
app01-8107	7	21	simultaneous	simultaneous	ADJ
app01-8107	7	22	feti	feti	NOUN
app01-8107	7	23	.	.	PUNCT
app01-8107	8	1	1	1	X
app01-8107	8	2	.	.	X
app01-8107	8	3	introduction	introduction	NOUN
app01-8107	8	4	topology	topology	NOUN
app01-8107	8	5	optimization	optimization	NOUN
app01-8107	8	6	has	have	AUX
app01-8107	8	7	became	become	VERB
app01-8107	8	8	an	an	DET
app01-8107	8	9	indispensable	indispensable	ADJ
app01-8107	8	10	tool	tool	NOUN
app01-8107	8	11	in	in	ADP
app01-8107	8	12	the	the	DET
app01-8107	8	13	design	design	NOUN
app01-8107	8	14	process	process	NOUN
app01-8107	8	15	,	,	PUNCT
app01-8107	8	16	allowing	allow	VERB
app01-8107	8	17	for	for	ADP
app01-8107	8	18	optimal	optimal	ADJ
app01-8107	8	19	distribution	distribution	NOUN
app01-8107	8	20	of	of	ADP
app01-8107	8	21	a	a	DET
app01-8107	8	22	material	material	NOUN
app01-8107	8	23	within	within	ADP
app01-8107	8	24	a	a	DET
app01-8107	8	25	provided	provide	VERB
app01-8107	8	26	space	space	NOUN
app01-8107	8	27	with	with	ADP
app01-8107	8	28	respect	respect	NOUN
app01-8107	8	29	to	to	ADP
app01-8107	8	30	given	give	VERB
app01-8107	8	31	criteria	criterion	NOUN
app01-8107	8	32	(	(	PUNCT
app01-8107	8	33	such	such	ADJ
app01-8107	8	34	as	as	ADP
app01-8107	8	35	minimization	minimization	NOUN
app01-8107	8	36	of	of	ADP
app01-8107	8	37	compliance	compliance	NOUN
app01-8107	8	38	,	,	PUNCT
app01-8107	8	39	maximization	maximization	NOUN
app01-8107	8	40	of	of	ADP
app01-8107	8	41	output	output	NOUN
app01-8107	8	42	response	response	NOUN
app01-8107	8	43	of	of	ADP
app01-8107	8	44	mechanisms	mechanism	NOUN
app01-8107	8	45	,	,	PUNCT
app01-8107	8	46	or	or	CCONJ
app01-8107	8	47	increasing	increase	VERB
app01-8107	8	48	the	the	DET
app01-8107	8	49	lowest	low	ADJ
app01-8107	8	50	eigenfrequency	eigenfrequency	NOUN
app01-8107	8	51	)	)	PUNCT
app01-8107	8	52	under	under	ADP
app01-8107	8	53	given	give	VERB
app01-8107	8	54	constraints	constraint	NOUN
app01-8107	8	55	(	(	PUNCT
app01-8107	8	56	typically	typically	ADV
app01-8107	8	57	limiting	limit	VERB
app01-8107	8	58	the	the	DET
app01-8107	8	59	available	available	ADJ
app01-8107	8	60	material	material	NOUN
app01-8107	8	61	volume	volume	NOUN
app01-8107	8	62	)	)	PUNCT
app01-8107	8	63	.	.	PUNCT
app01-8107	9	1	in	in	ADP
app01-8107	9	2	solid	solid	ADJ
app01-8107	9	3	isotropic	isotropic	ADJ
app01-8107	9	4	material	material	NOUN
app01-8107	9	5	with	with	ADP
app01-8107	9	6	penalization	penalization	NOUN
app01-8107	9	7	(	(	PUNCT
app01-8107	9	8	simp	simp	ADJ
app01-8107	9	9	)	)	PUNCT
app01-8107	9	10	method	method	NOUN
app01-8107	9	11	[	[	X
app01-8107	9	12	1]—one	1]—one	NUM
app01-8107	9	13	of	of	ADP
app01-8107	9	14	the	the	DET
app01-8107	9	15	most	most	ADV
app01-8107	9	16	common	common	ADJ
app01-8107	9	17	approaches	approach	NOUN
app01-8107	9	18	to	to	ADP
app01-8107	9	19	topology	topology	NOUN
app01-8107	9	20	optimization	optimization	NOUN
app01-8107	9	21	—	—	PUNCT
app01-8107	9	22	the	the	DET
app01-8107	9	23	material	material	NOUN
app01-8107	9	24	distribution	distribution	NOUN
app01-8107	9	25	is	be	AUX
app01-8107	9	26	parameterized	parameterized	ADJ
app01-8107	9	27	with	with	ADP
app01-8107	9	28	a	a	DET
app01-8107	9	29	scalar	scalar	ADJ
app01-8107	9	30	relative	relative	ADJ
app01-8107	9	31	density	density	NOUN
app01-8107	9	32	field	field	NOUN
app01-8107	9	33	ρ(x	ρ(x	PROPN
app01-8107	9	34	)	)	PUNCT
app01-8107	9	35	,	,	PUNCT
app01-8107	9	36	with	with	ADP
app01-8107	9	37	0	0	NUM
app01-8107	9	38	≤	≤	NUM
app01-8107	9	39	ρ	ρ	PROPN
app01-8107	9	40	≤	≤	NUM
app01-8107	9	41	1	1	NUM
app01-8107	9	42	,	,	PUNCT
app01-8107	9	43	which	which	PRON
app01-8107	9	44	consequently	consequently	ADV
app01-8107	9	45	governs	govern	VERB
app01-8107	9	46	the	the	DET
app01-8107	9	47	distribution	distribution	NOUN
app01-8107	9	48	of	of	ADP
app01-8107	9	49	stiffness	stiffness	ADJ
app01-8107	9	50	parameters	parameter	NOUN
app01-8107	9	51	in	in	ADP
app01-8107	9	52	a	a	DET
app01-8107	9	53	domain	domain	NOUN
app01-8107	9	54	such	such	ADJ
app01-8107	9	55	that	that	SCONJ
app01-8107	9	56	e(x	e(x	NUM
app01-8107	9	57	)	)	PUNCT
app01-8107	9	58	=	=	SYM
app01-8107	9	59	emin	emin	PROPN
app01-8107	9	60	+	+	CCONJ
app01-8107	9	61	ρp(x	ρp(x	NUM
app01-8107	9	62	)	)	PUNCT
app01-8107	9	63	(	(	PUNCT
app01-8107	9	64	e0	e0	PROPN
app01-8107	9	65	−emin	−emin	PROPN
app01-8107	9	66	)	)	PUNCT
app01-8107	9	67	,	,	PUNCT
app01-8107	9	68	(	(	PUNCT
app01-8107	9	69	1	1	X
app01-8107	9	70	)	)	PUNCT
app01-8107	9	71	where	where	SCONJ
app01-8107	9	72	p	p	NOUN
app01-8107	9	73	is	be	AUX
app01-8107	9	74	a	a	DET
app01-8107	9	75	given	give	VERB
app01-8107	9	76	penalization	penalization	NOUN
app01-8107	9	77	coefficient	coefficient	NOUN
app01-8107	9	78	(	(	PUNCT
app01-8107	9	79	usually	usually	ADV
app01-8107	9	80	p	p	X
app01-8107	9	81	≥	≥	NUM
app01-8107	9	82	3	3	NUM
app01-8107	9	83	)	)	PUNCT
app01-8107	9	84	,	,	PUNCT
app01-8107	9	85	helping	help	VERB
app01-8107	9	86	the	the	DET
app01-8107	9	87	optimization	optimization	NOUN
app01-8107	9	88	procedure	procedure	NOUN
app01-8107	9	89	to	to	PART
app01-8107	9	90	achieve	achieve	VERB
app01-8107	9	91	the	the	DET
app01-8107	9	92	desired	desire	VERB
app01-8107	9	93	“	"	PUNCT
app01-8107	9	94	0	0	NUM
app01-8107	9	95	-	-	SYM
app01-8107	9	96	1	1	NUM
app01-8107	9	97	”	"	PUNCT
app01-8107	9	98	design	design	NOUN
app01-8107	9	99	without	without	ADP
app01-8107	9	100	regions	region	NOUN
app01-8107	9	101	of	of	ADP
app01-8107	9	102	intermediate	intermediate	ADJ
app01-8107	9	103	densities	density	NOUN
app01-8107	9	104	,	,	PUNCT
app01-8107	9	105	and	and	CCONJ
app01-8107	9	106	e0	e0	PROPN
app01-8107	9	107	and	and	CCONJ
app01-8107	9	108	emin	emin	PROPN
app01-8107	9	109	are	be	AUX
app01-8107	9	110	stiffness	stiffness	ADJ
app01-8107	9	111	tensors	tensor	NOUN
app01-8107	9	112	of	of	ADP
app01-8107	9	113	the	the	DET
app01-8107	9	114	solid	solid	ADJ
app01-8107	9	115	material	material	NOUN
app01-8107	9	116	and	and	CCONJ
app01-8107	9	117	voids	voids	NOUN
app01-8107	9	118	,	,	PUNCT
app01-8107	9	119	respectively	respectively	ADV
app01-8107	9	120	.	.	PUNCT
app01-8107	10	1	note	note	VERB
app01-8107	10	2	that	that	SCONJ
app01-8107	10	3	while	while	SCONJ
app01-8107	10	4	the	the	DET
app01-8107	10	5	stiffness	stiffness	ADJ
app01-8107	10	6	tensor	tensor	NOUN
app01-8107	10	7	of	of	ADP
app01-8107	10	8	the	the	DET
app01-8107	10	9	bulk	bulk	ADJ
app01-8107	10	10	material	material	NOUN
app01-8107	10	11	is	be	AUX
app01-8107	10	12	physical	physical	ADJ
app01-8107	10	13	,	,	PUNCT
app01-8107	10	14	void	void	ADJ
app01-8107	10	15	stiffness	stiffness	NOUN
app01-8107	10	16	serves	serve	VERB
app01-8107	10	17	only	only	ADV
app01-8107	10	18	numerical	numerical	ADJ
app01-8107	10	19	purposes	purpose	NOUN
app01-8107	10	20	of	of	ADP
app01-8107	10	21	avoiding	avoid	VERB
app01-8107	10	22	an	an	DET
app01-8107	10	23	indefinite	indefinite	ADJ
app01-8107	10	24	hessian	hessian	ADJ
app01-8107	10	25	matrix	matrix	NOUN
app01-8107	10	26	.	.	PUNCT
app01-8107	11	1	on	on	ADP
app01-8107	11	2	one	one	NUM
app01-8107	11	3	hand	hand	NOUN
app01-8107	11	4	,	,	PUNCT
app01-8107	11	5	it	it	PRON
app01-8107	11	6	should	should	AUX
app01-8107	11	7	be	be	AUX
app01-8107	11	8	small	small	ADJ
app01-8107	11	9	enough	enough	ADV
app01-8107	11	10	in	in	ADP
app01-8107	11	11	order	order	NOUN
app01-8107	11	12	to	to	PART
app01-8107	11	13	model	model	VERB
app01-8107	11	14	voids	voids	NOUN
app01-8107	11	15	properly	properly	ADV
app01-8107	11	16	,	,	PUNCT
app01-8107	11	17	on	on	ADP
app01-8107	11	18	the	the	DET
app01-8107	11	19	other	other	ADJ
app01-8107	11	20	hand	hand	NOUN
app01-8107	11	21	too	too	ADV
app01-8107	11	22	small	small	ADJ
app01-8107	11	23	values	value	NOUN
app01-8107	11	24	lead	lead	VERB
app01-8107	11	25	to	to	ADP
app01-8107	11	26	ill	ill	ADV
app01-8107	11	27	-	-	PUNCT
app01-8107	11	28	posed	pose	VERB
app01-8107	11	29	state	state	NOUN
app01-8107	11	30	problem	problem	NOUN
app01-8107	11	31	.	.	PUNCT
app01-8107	12	1	the	the	DET
app01-8107	12	2	optimal	optimal	ADJ
app01-8107	12	3	design	design	NOUN
app01-8107	12	4	is	be	AUX
app01-8107	12	5	then	then	ADV
app01-8107	12	6	usually	usually	ADV
app01-8107	12	7	sought	seek	VERB
app01-8107	12	8	-	-	PUNCT
app01-8107	12	9	for	for	ADP
app01-8107	12	10	in	in	ADP
app01-8107	12	11	an	an	DET
app01-8107	12	12	iterative	iterative	NOUN
app01-8107	12	13	manner	manner	NOUN
app01-8107	12	14	,	,	PUNCT
app01-8107	12	15	alternately	alternately	ADV
app01-8107	12	16	solving	solve	VERB
app01-8107	12	17	the	the	DET
app01-8107	12	18	state	state	NOUN
app01-8107	12	19	equations	equation	NOUN
app01-8107	12	20	with	with	ADP
app01-8107	12	21	a	a	DET
app01-8107	12	22	fixed	fix	VERB
app01-8107	12	23	densities	density	NOUN
app01-8107	12	24	and	and	CCONJ
app01-8107	12	25	updating	update	VERB
app01-8107	12	26	design	design	NOUN
app01-8107	12	27	density	density	NOUN
app01-8107	12	28	variables	variable	NOUN
app01-8107	12	29	according	accord	VERB
app01-8107	12	30	to	to	ADP
app01-8107	12	31	the	the	DET
app01-8107	12	32	sensitivities	sensitivity	NOUN
app01-8107	12	33	computed	compute	VERB
app01-8107	12	34	for	for	ADP
app01-8107	12	35	a	a	DET
app01-8107	12	36	current	current	ADJ
app01-8107	12	37	design	design	NOUN
app01-8107	12	38	.	.	PUNCT
app01-8107	13	1	being	be	AUX
app01-8107	13	2	a	a	DET
app01-8107	13	3	matured	matured	ADJ
app01-8107	13	4	technology	technology	NOUN
app01-8107	13	5	,	,	PUNCT
app01-8107	13	6	topology	topology	NOUN
app01-8107	13	7	optimization	optimization	NOUN
app01-8107	13	8	is	be	AUX
app01-8107	13	9	now	now	ADV
app01-8107	13	10	widely	widely	ADV
app01-8107	13	11	used	use	VERB
app01-8107	13	12	in	in	ADP
app01-8107	13	13	industrial	industrial	ADJ
app01-8107	13	14	applications	application	NOUN
app01-8107	13	15	with	with	ADP
app01-8107	13	16	millions	million	NOUN
app01-8107	13	17	of	of	ADP
app01-8107	13	18	unknowns	unknown	NOUN
app01-8107	13	19	,	,	PUNCT
app01-8107	13	20	and	and	CCONJ
app01-8107	13	21	first	first	ADJ
app01-8107	13	22	applications	application	NOUN
app01-8107	13	23	reaching	reach	VERB
app01-8107	13	24	billions	billion	NOUN
app01-8107	13	25	of	of	ADP
app01-8107	13	26	unknowns	unknown	NOUN
app01-8107	13	27	are	be	AUX
app01-8107	13	28	emerging	emerge	VERB
app01-8107	13	29	[	[	PUNCT
app01-8107	13	30	2	2	NUM
app01-8107	13	31	]	]	PUNCT
app01-8107	13	32	.	.	PUNCT
app01-8107	14	1	consequently	consequently	ADV
app01-8107	14	2	,	,	PUNCT
app01-8107	14	3	such	such	ADJ
app01-8107	14	4	scales	scale	NOUN
app01-8107	14	5	of	of	ADP
app01-8107	14	6	optimization	optimization	NOUN
app01-8107	14	7	problems	problem	NOUN
app01-8107	14	8	often	often	ADV
app01-8107	14	9	prohibit	prohibit	VERB
app01-8107	14	10	the	the	DET
app01-8107	14	11	use	use	NOUN
app01-8107	14	12	of	of	ADP
app01-8107	14	13	direct	direct	ADJ
app01-8107	14	14	solvers	solver	NOUN
app01-8107	14	15	in	in	ADP
app01-8107	14	16	favour	favour	NOUN
app01-8107	14	17	of	of	ADP
app01-8107	14	18	iterative	iterative	ADJ
app01-8107	14	19	ones	one	NOUN
app01-8107	14	20	,	,	PUNCT
app01-8107	14	21	which	which	PRON
app01-8107	14	22	are	be	AUX
app01-8107	14	23	further	far	ADV
app01-8107	14	24	combined	combine	VERB
app01-8107	14	25	with	with	ADP
app01-8107	14	26	parallelisation	parallelisation	NOUN
app01-8107	14	27	.	.	PUNCT
app01-8107	15	1	domain	domain	NOUN
app01-8107	15	2	decomposition	decomposition	NOUN
app01-8107	15	3	(	(	PUNCT
app01-8107	15	4	dd	dd	NOUN
app01-8107	15	5	)	)	PUNCT
app01-8107	15	6	techniques	technique	NOUN
app01-8107	15	7	thus	thus	ADV
app01-8107	15	8	seem	seem	VERB
app01-8107	15	9	promising	promising	ADJ
app01-8107	15	10	candidates	candidate	NOUN
app01-8107	15	11	;	;	PUNCT
app01-8107	15	12	however	however	ADV
app01-8107	15	13	,	,	PUNCT
app01-8107	15	14	the	the	DET
app01-8107	15	15	presence	presence	NOUN
app01-8107	15	16	of	of	ADP
app01-8107	15	17	high	high	ADJ
app01-8107	15	18	contrast	contrast	NOUN
app01-8107	15	19	in	in	ADP
app01-8107	15	20	coefficients	coefficient	NOUN
app01-8107	15	21	due	due	ADP
app01-8107	15	22	to	to	ADP
app01-8107	15	23	the	the	DET
app01-8107	15	24	stiffness	stiffness	ADJ
app01-8107	15	25	parameterization	parameterization	NOUN
app01-8107	15	26	,	,	PUNCT
app01-8107	15	27	recall	recall	VERB
app01-8107	15	28	eq	eq	ADP
app01-8107	15	29	.	.	PUNCT
app01-8107	16	1	(	(	PUNCT
app01-8107	16	2	1	1	NUM
app01-8107	16	3	)	)	PUNCT
app01-8107	16	4	,	,	PUNCT
app01-8107	16	5	may	may	AUX
app01-8107	16	6	cause	cause	VERB
app01-8107	16	7	slower	slow	ADJ
app01-8107	16	8	convergence	convergence	NOUN
app01-8107	16	9	and	and	CCONJ
app01-8107	16	10	consequently	consequently	ADV
app01-8107	16	11	poor	poor	ADJ
app01-8107	16	12	performance	performance	NOUN
app01-8107	16	13	of	of	ADP
app01-8107	16	14	iterative	iterative	ADJ
app01-8107	16	15	solvers	solver	NOUN
app01-8107	16	16	based	base	VERB
app01-8107	16	17	on	on	ADP
app01-8107	16	18	dd	dd	NOUN
app01-8107	16	19	,	,	PUNCT
app01-8107	16	20	as	as	SCONJ
app01-8107	16	21	has	have	AUX
app01-8107	16	22	been	be	AUX
app01-8107	16	23	already	already	ADV
app01-8107	16	24	shown	show	VERB
app01-8107	16	25	in	in	ADP
app01-8107	16	26	[	[	X
app01-8107	16	27	3	3	NUM
app01-8107	16	28	]	]	PUNCT
app01-8107	16	29	.	.	PUNCT
app01-8107	17	1	to	to	PART
app01-8107	17	2	make	make	VERB
app01-8107	17	3	the	the	DET
app01-8107	17	4	task	task	NOUN
app01-8107	17	5	even	even	ADV
app01-8107	17	6	more	more	ADV
app01-8107	17	7	challenging	challenging	ADJ
app01-8107	17	8	,	,	PUNCT
app01-8107	17	9	in	in	ADP
app01-8107	17	10	this	this	DET
app01-8107	17	11	contribution	contribution	NOUN
app01-8107	17	12	,	,	PUNCT
app01-8107	17	13	we	we	PRON
app01-8107	17	14	focus	focus	VERB
app01-8107	17	15	in	in	ADP
app01-8107	17	16	particular	particular	ADJ
app01-8107	17	17	on	on	ADP
app01-8107	17	18	modular	modular	ADJ
app01-8107	17	19	topology	topology	NOUN
app01-8107	17	20	optimization	optimization	NOUN
app01-8107	17	21	problems	problem	NOUN
app01-8107	17	22	,	,	PUNCT
app01-8107	17	23	recently	recently	ADV
app01-8107	17	24	introduced	introduce	VERB
app01-8107	17	25	in	in	ADP
app01-8107	17	26	[	[	X
app01-8107	17	27	4	4	NUM
app01-8107	17	28	,	,	PUNCT
app01-8107	17	29	5	5	NUM
app01-8107	17	30	]	]	PUNCT
app01-8107	17	31	,	,	PUNCT
app01-8107	17	32	in	in	ADP
app01-8107	17	33	which	which	PRON
app01-8107	17	34	the	the	DET
app01-8107	17	35	main	main	ADJ
app01-8107	17	36	domain	domain	NOUN
app01-8107	17	37	is	be	AUX
app01-8107	17	38	composed	compose	VERB
app01-8107	17	39	of	of	ADP
app01-8107	17	40	a	a	DET
app01-8107	17	41	limited	limited	ADJ
app01-8107	17	42	number	number	NOUN
app01-8107	17	43	of	of	ADP
app01-8107	17	44	square	square	ADJ
app01-8107	17	45	modules	module	NOUN
app01-8107	17	46	.	.	PUNCT
app01-8107	18	1	the	the	DET
app01-8107	18	2	multiple	multiple	ADJ
app01-8107	18	3	occurrence	occurrence	NOUN
app01-8107	18	4	of	of	ADP
app01-8107	18	5	individual	individual	ADJ
app01-8107	18	6	modules	module	NOUN
app01-8107	18	7	can	can	AUX
app01-8107	18	8	thus	thus	ADV
app01-8107	18	9	be	be	AUX
app01-8107	18	10	readily	readily	ADV
app01-8107	18	11	exploited	exploit	VERB
app01-8107	18	12	to	to	PART
app01-8107	18	13	accelerate	accelerate	VERB
app01-8107	18	14	calculations	calculation	NOUN
app01-8107	18	15	;	;	PUNCT
app01-8107	18	16	on	on	ADP
app01-8107	18	17	the	the	DET
app01-8107	18	18	other	other	ADJ
app01-8107	18	19	hand	hand	NOUN
app01-8107	18	20	,	,	PUNCT
app01-8107	18	21	the	the	DET
app01-8107	18	22	modularity	modularity	NOUN
app01-8107	18	23	automatically	automatically	ADV
app01-8107	18	24	introduces	introduce	NOUN
app01-8107	18	25	fixed	fix	VERB
app01-8107	18	26	,	,	PUNCT
app01-8107	18	27	regular	regular	ADJ
app01-8107	18	28	partitioning	partitioning	NOUN
app01-8107	18	29	,	,	PUNCT
app01-8107	18	30	which	which	PRON
app01-8107	18	31	—	—	PUNCT
app01-8107	18	32	as	as	SCONJ
app01-8107	18	33	will	will	AUX
app01-8107	18	34	be	be	AUX
app01-8107	18	35	shown	show	VERB
app01-8107	18	36	later	later	ADV
app01-8107	18	37	—	—	PUNCT
app01-8107	18	38	is	be	AUX
app01-8107	18	39	detrimental	detrimental	ADJ
app01-8107	18	40	for	for	ADP
app01-8107	18	41	the	the	DET
app01-8107	18	42	performance	performance	NOUN
app01-8107	18	43	of	of	ADP
app01-8107	18	44	dd	dd	NOUN
app01-8107	18	45	-	-	PUNCT
app01-8107	18	46	based	base	VERB
app01-8107	18	47	solvers	solver	NOUN
app01-8107	18	48	.	.	PUNCT
app01-8107	19	1	admittedly	admittedly	ADV
app01-8107	19	2	,	,	PUNCT
app01-8107	19	3	the	the	DET
app01-8107	19	4	modular	modular	ADJ
app01-8107	19	5	grid	grid	NOUN
app01-8107	19	6	constitutes	constitute	VERB
app01-8107	19	7	only	only	ADV
app01-8107	19	8	the	the	DET
app01-8107	19	9	coarsest	coarse	ADJ
app01-8107	19	10	partitioning	partitioning	NOUN
app01-8107	19	11	and	and	CCONJ
app01-8107	19	12	more	more	ADJ
app01-8107	19	13	refined	refined	ADJ
app01-8107	19	14	divisions	division	NOUN
app01-8107	19	15	of	of	ADP
app01-8107	19	16	each	each	DET
app01-8107	19	17	module	module	NOUN
app01-8107	19	18	following	follow	VERB
app01-8107	19	19	e.g.	e.g.	ADV
app01-8107	19	20	the	the	DET
app01-8107	19	21	distribution	distribution	NOUN
app01-8107	19	22	of	of	ADP
app01-8107	19	23	a	a	DET
app01-8107	19	24	material	material	NOUN
app01-8107	19	25	with	with	ADP
app01-8107	19	26	the	the	DET
app01-8107	19	27	module	module	NOUN
app01-8107	19	28	can	can	AUX
app01-8107	19	29	be	be	AUX
app01-8107	19	30	performed	perform	VERB
app01-8107	19	31	,	,	PUNCT
app01-8107	19	32	but	but	CCONJ
app01-8107	19	33	we	we	PRON
app01-8107	19	34	did	do	AUX
app01-8107	19	35	not	not	PART
app01-8107	19	36	follow	follow	VERB
app01-8107	19	37	this	this	DET
app01-8107	19	38	possibility	possibility	NOUN
app01-8107	19	39	in	in	ADP
app01-8107	19	40	our	our	PRON
app01-8107	19	41	current	current	ADJ
app01-8107	19	42	study	study	NOUN
app01-8107	19	43	.	.	PUNCT
app01-8107	20	1	after	after	ADP
app01-8107	20	2	recalling	recall	VERB
app01-8107	20	3	the	the	DET
app01-8107	20	4	fundamentals	fundamental	NOUN
app01-8107	20	5	of	of	ADP
app01-8107	20	6	two	two	NUM
app01-8107	20	7	finite	finite	ADJ
app01-8107	20	8	element	element	NOUN
app01-8107	20	9	tearing	tear	VERB
app01-8107	20	10	and	and	CCONJ
app01-8107	20	11	interconnecting	interconnect	VERB
app01-8107	20	12	methods	method	NOUN
app01-8107	20	13	in	in	ADP
app01-8107	20	14	section	section	NOUN
app01-8107	20	15	2	2	NUM
app01-8107	20	16	,	,	PUNCT
app01-8107	20	17	we	we	PRON
app01-8107	20	18	review	review	VERB
app01-8107	20	19	several	several	ADJ
app01-8107	20	20	modifications	modification	NOUN
app01-8107	20	21	aimed	aim	VERB
app01-8107	20	22	at	at	ADP
app01-8107	20	23	improving	improve	VERB
app01-8107	20	24	the	the	DET
app01-8107	20	25	performance	performance	NOUN
app01-8107	20	26	and	and	CCONJ
app01-8107	20	27	robustness	robustness	NOUN
app01-8107	20	28	of	of	ADP
app01-8107	20	29	the	the	DET
app01-8107	20	30	solu43	solu43	ADJ
app01-8107	20	31	https://doi.org/10.14311/app.2022.34.0043	https://doi.org/10.14311/app.2022.34.0043	PROPN
app01-8107	20	32	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
app01-8107	20	33	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
app01-8107	20	34	t.	t.	PROPN
app01-8107	20	35	medřický	medřický	PROPN
app01-8107	20	36	,	,	PUNCT
app01-8107	20	37	m.	m.	NOUN
app01-8107	20	38	doškář	doškář	PROPN
app01-8107	20	39	,	,	PUNCT
app01-8107	20	40	i.	i.	PROPN
app01-8107	20	41	pultarová	pultarová	PROPN
app01-8107	20	42	,	,	PUNCT
app01-8107	20	43	j.	j.	PROPN
app01-8107	20	44	zeman	zeman	PROPN
app01-8107	20	45	acta	acta	PROPN
app01-8107	20	46	polytechnica	polytechnica	PROPN
app01-8107	20	47	ctu	ctu	PROPN
app01-8107	20	48	proceedings	proceeding	NOUN
app01-8107	20	49	tion	tion	NOUN
app01-8107	20	50	strategy	strategy	NOUN
app01-8107	20	51	;	;	PUNCT
app01-8107	20	52	see	see	VERB
app01-8107	20	53	section	section	NOUN
app01-8107	20	54	3	3	NUM
app01-8107	20	55	.	.	PUNCT
app01-8107	21	1	finally	finally	ADV
app01-8107	21	2	,	,	PUNCT
app01-8107	21	3	in	in	ADP
app01-8107	21	4	section	section	NOUN
app01-8107	21	5	4	4	NUM
app01-8107	21	6	,	,	PUNCT
app01-8107	21	7	the	the	DET
app01-8107	21	8	performance	performance	NOUN
app01-8107	21	9	of	of	ADP
app01-8107	21	10	the	the	DET
app01-8107	21	11	original	original	ADJ
app01-8107	21	12	methods	method	NOUN
app01-8107	21	13	and	and	CCONJ
app01-8107	21	14	their	their	PRON
app01-8107	21	15	modifications	modification	NOUN
app01-8107	21	16	is	be	AUX
app01-8107	21	17	assessed	assess	VERB
app01-8107	21	18	on	on	ADP
app01-8107	21	19	two	two	NUM
app01-8107	21	20	test	test	NOUN
app01-8107	21	21	sets	set	NOUN
app01-8107	21	22	:	:	PUNCT
app01-8107	21	23	three	three	NUM
app01-8107	21	24	academic	academic	ADJ
app01-8107	21	25	problems	problem	NOUN
app01-8107	21	26	from	from	ADP
app01-8107	21	27	the	the	DET
app01-8107	21	28	literature	literature	NOUN
app01-8107	21	29	and	and	CCONJ
app01-8107	21	30	three	three	NUM
app01-8107	21	31	geometries	geometry	NOUN
app01-8107	21	32	arising	arise	VERB
app01-8107	21	33	from	from	ADP
app01-8107	21	34	three	three	NUM
app01-8107	21	35	distinct	distinct	ADJ
app01-8107	21	36	snapshots	snapshot	NOUN
app01-8107	21	37	of	of	ADP
app01-8107	21	38	modular	modular	ADJ
app01-8107	21	39	topology	topology	NOUN
app01-8107	21	40	optimization	optimization	NOUN
app01-8107	21	41	of	of	ADP
app01-8107	21	42	the	the	DET
app01-8107	21	43	emblematic	emblematic	ADJ
app01-8107	21	44	messerschmitt	messerschmitt	NOUN
app01-8107	21	45	–	–	PUNCT
app01-8107	21	46	bölkow	bölkow	NOUN
app01-8107	21	47	–	–	PUNCT
app01-8107	21	48	blohm	blohm	PROPN
app01-8107	21	49	beam	beam	NOUN
app01-8107	21	50	.	.	PUNCT
app01-8107	22	1	2	2	X
app01-8107	22	2	.	.	X
app01-8107	22	3	dual	dual	ADJ
app01-8107	22	4	and	and	CCONJ
app01-8107	22	5	dual	dual	ADJ
app01-8107	22	6	-	-	PUNCT
app01-8107	22	7	primal	primal	ADJ
app01-8107	22	8	domain	domain	NOUN
app01-8107	22	9	decomposition	decomposition	NOUN
app01-8107	22	10	methods	method	NOUN
app01-8107	22	11	characteristically	characteristically	ADV
app01-8107	22	12	for	for	ADP
app01-8107	22	13	domain	domain	NOUN
app01-8107	22	14	decomposition	decomposition	NOUN
app01-8107	22	15	methods	method	NOUN
app01-8107	22	16	,	,	PUNCT
app01-8107	22	17	we	we	PRON
app01-8107	22	18	assume	assume	VERB
app01-8107	22	19	that	that	SCONJ
app01-8107	22	20	the	the	DET
app01-8107	22	21	original	original	ADJ
app01-8107	22	22	domain	domain	NOUN
app01-8107	22	23	ω	ω	NOUN
app01-8107	22	24	is	be	AUX
app01-8107	22	25	partitioned	partition	VERB
app01-8107	22	26	into	into	ADP
app01-8107	22	27	ns	ns	NUM
app01-8107	22	28	mutually	mutually	ADV
app01-8107	22	29	disjoint	disjoint	NOUN
app01-8107	22	30	subdomains	subdomain	NOUN
app01-8107	22	31	ωs	ωs	ADP
app01-8107	22	32	with	with	ADP
app01-8107	22	33	s	s	NOUN
app01-8107	22	34	=	=	SYM
app01-8107	22	35	1	1	NUM
app01-8107	22	36	.	.	PUNCT
app01-8107	22	37	.	.	PUNCT
app01-8107	22	38	.	.	PUNCT
app01-8107	23	1	ns	ns	X
app01-8107	23	2	.	.	PUNCT
app01-8107	24	1	the	the	DET
app01-8107	24	2	solution	solution	NOUN
app01-8107	24	3	to	to	ADP
app01-8107	24	4	the	the	DET
app01-8107	24	5	system	system	NOUN
app01-8107	24	6	of	of	ADP
app01-8107	24	7	linear	linear	PROPN
app01-8107	24	8	equations	equation	NOUN
app01-8107	24	9	kωuω	kωuω	PROPN
app01-8107	24	10	=	=	PUNCT
app01-8107	24	11	fω	fω	PROPN
app01-8107	24	12	,	,	PUNCT
app01-8107	24	13	(	(	PUNCT
app01-8107	24	14	2	2	X
app01-8107	24	15	)	)	PUNCT
app01-8107	24	16	which	which	PRON
app01-8107	24	17	arises	arise	VERB
app01-8107	24	18	from	from	ADP
app01-8107	24	19	e.g.	e.g.	ADV
app01-8107	24	20	numerically	numerically	ADV
app01-8107	24	21	discretized	discretize	VERB
app01-8107	24	22	partial	partial	ADJ
app01-8107	24	23	differential	differential	ADJ
app01-8107	24	24	equations	equation	NOUN
app01-8107	24	25	valid	valid	ADJ
app01-8107	24	26	in	in	ADP
app01-8107	24	27	ω	ω	PROPN
app01-8107	24	28	,	,	PUNCT
app01-8107	24	29	is	be	AUX
app01-8107	24	30	then	then	ADV
app01-8107	24	31	sought	seek	VERB
app01-8107	24	32	for	for	ADP
app01-8107	24	33	via	via	ADP
app01-8107	24	34	a	a	DET
app01-8107	24	35	series	series	NOUN
app01-8107	24	36	of	of	ADP
app01-8107	24	37	subdomain	subdomain	NOUN
app01-8107	24	38	-	-	PUNCT
app01-8107	24	39	wise	wise	ADJ
app01-8107	24	40	problems	problem	NOUN
app01-8107	24	41	ksus	ksus	VERB
app01-8107	24	42	=	=	PUNCT
app01-8107	24	43	fs	fs	PROPN
app01-8107	24	44	for	for	ADP
app01-8107	24	45	s	s	NOUN
app01-8107	24	46	=	=	NOUN
app01-8107	24	47	1	1	NUM
app01-8107	24	48	.	.	PUNCT
app01-8107	24	49	.	.	PUNCT
app01-8107	24	50	.	.	PUNCT
app01-8107	25	1	ns	ns	INTJ
app01-8107	25	2	,	,	PUNCT
app01-8107	25	3	(	(	PUNCT
app01-8107	25	4	3	3	NUM
app01-8107	25	5	)	)	PUNCT
app01-8107	25	6	with	with	ADP
app01-8107	25	7	an	an	DET
app01-8107	25	8	additional	additional	ADJ
app01-8107	25	9	constraint	constraint	NOUN
app01-8107	25	10	ensuring	ensure	VERB
app01-8107	25	11	continuity	continuity	NOUN
app01-8107	25	12	of	of	ADP
app01-8107	25	13	the	the	DET
app01-8107	25	14	solution	solution	NOUN
app01-8107	25	15	{	{	PUNCT
app01-8107	25	16	us}s=1	us}s=1	PROPN
app01-8107	25	17	...	...	PUNCT
app01-8107	25	18	ns	ns	NUM
app01-8107	25	19	across	across	ADP
app01-8107	25	20	subdomain	subdomain	NOUN
app01-8107	25	21	boundaries	boundary	NOUN
app01-8107	25	22	.	.	PUNCT
app01-8107	26	1	two	two	NUM
app01-8107	26	2	major	major	ADJ
app01-8107	26	3	branches	branch	NOUN
app01-8107	26	4	of	of	ADP
app01-8107	26	5	domain	domain	NOUN
app01-8107	26	6	decomposition	decomposition	NOUN
app01-8107	26	7	methods	method	NOUN
app01-8107	26	8	can	can	AUX
app01-8107	26	9	be	be	AUX
app01-8107	26	10	distinguished	distinguish	VERB
app01-8107	26	11	based	base	VERB
app01-8107	26	12	on	on	ADP
app01-8107	26	13	the	the	DET
app01-8107	26	14	manner	manner	NOUN
app01-8107	26	15	in	in	ADP
app01-8107	26	16	which	which	PRON
app01-8107	26	17	the	the	DET
app01-8107	26	18	aforementioned	aforementioned	ADJ
app01-8107	26	19	continuity	continuity	NOUN
app01-8107	26	20	is	be	AUX
app01-8107	26	21	enforced	enforce	VERB
app01-8107	26	22	:	:	PUNCT
app01-8107	26	23	primal	primal	ADJ
app01-8107	26	24	decomposition	decomposition	NOUN
app01-8107	26	25	methods	method	NOUN
app01-8107	26	26	,	,	PUNCT
app01-8107	26	27	such	such	ADJ
app01-8107	26	28	as	as	ADP
app01-8107	26	29	the	the	DET
app01-8107	26	30	schur	schur	PROPN
app01-8107	26	31	complement	complement	PROPN
app01-8107	26	32	method	method	NOUN
app01-8107	27	1	[	[	X
app01-8107	27	2	6	6	NUM
app01-8107	27	3	]	]	PUNCT
app01-8107	27	4	,	,	PUNCT
app01-8107	27	5	satisfy	satisfy	VERB
app01-8107	27	6	the	the	DET
app01-8107	27	7	continuity	continuity	NOUN
app01-8107	27	8	by	by	ADP
app01-8107	27	9	construction	construction	NOUN
app01-8107	27	10	of	of	ADP
app01-8107	27	11	an	an	DET
app01-8107	27	12	approximation	approximation	NOUN
app01-8107	27	13	space	space	NOUN
app01-8107	27	14	,	,	PUNCT
app01-8107	27	15	while	while	SCONJ
app01-8107	27	16	the	the	DET
app01-8107	27	17	dual	dual	ADJ
app01-8107	27	18	methods	method	NOUN
app01-8107	27	19	,	,	PUNCT
app01-8107	27	20	e.g.	e.g.	ADV
app01-8107	27	21	finite	finite	ADJ
app01-8107	27	22	element	element	NOUN
app01-8107	27	23	tearing	tear	VERB
app01-8107	27	24	and	and	CCONJ
app01-8107	27	25	interconnecting	interconnect	VERB
app01-8107	27	26	(	(	PUNCT
app01-8107	27	27	feti	feti	NOUN
app01-8107	27	28	)	)	PUNCT
app01-8107	27	29	method	method	NOUN
app01-8107	27	30	[	[	X
app01-8107	27	31	7	7	NUM
app01-8107	27	32	]	]	PUNCT
app01-8107	27	33	,	,	PUNCT
app01-8107	27	34	impose	impose	VERB
app01-8107	27	35	the	the	DET
app01-8107	27	36	continuity	continuity	NOUN
app01-8107	27	37	requirement	requirement	NOUN
app01-8107	27	38	as	as	ADP
app01-8107	27	39	an	an	DET
app01-8107	27	40	equality	equality	NOUN
app01-8107	27	41	constraint	constraint	NOUN
app01-8107	27	42	enforced	enforce	VERB
app01-8107	27	43	via	via	ADP
app01-8107	27	44	lagrange	lagrange	PROPN
app01-8107	27	45	multipliers	multipliers	PROPN
app01-8107	27	46	λ	λ	PROPN
app01-8107	27	47	.	.	PUNCT
app01-8107	28	1	the	the	DET
app01-8107	28	2	multipliers	multiplier	NOUN
app01-8107	28	3	λ	λ	PROPN
app01-8107	28	4	then	then	ADV
app01-8107	28	5	also	also	ADV
app01-8107	28	6	contribute	contribute	VERB
app01-8107	28	7	to	to	ADP
app01-8107	28	8	the	the	DET
app01-8107	28	9	right	right	ADJ
app01-8107	28	10	-	-	PUNCT
app01-8107	28	11	hand	hand	NOUN
app01-8107	28	12	side	side	NOUN
app01-8107	28	13	of	of	ADP
app01-8107	28	14	eq	eq	PROPN
app01-8107	28	15	.	.	PUNCT
app01-8107	29	1	(	(	PUNCT
app01-8107	29	2	3	3	NUM
app01-8107	29	3	)	)	PUNCT
app01-8107	29	4	;	;	PUNCT
app01-8107	29	5	see	see	VERB
app01-8107	29	6	the	the	DET
app01-8107	29	7	first	first	ADJ
app01-8107	29	8	row	row	NOUN
app01-8107	29	9	of	of	ADP
app01-8107	29	10	eq	eq	PROPN
app01-8107	29	11	.	.	PUNCT
app01-8107	30	1	(	(	PUNCT
app01-8107	30	2	6	6	NUM
app01-8107	30	3	)	)	PUNCT
app01-8107	30	4	.	.	PUNCT
app01-8107	31	1	finally	finally	ADV
app01-8107	31	2	,	,	PUNCT
app01-8107	31	3	as	as	SCONJ
app01-8107	31	4	its	its	PRON
app01-8107	31	5	name	name	NOUN
app01-8107	31	6	suggests	suggest	VERB
app01-8107	31	7	,	,	PUNCT
app01-8107	31	8	the	the	DET
app01-8107	31	9	finite	finite	ADJ
app01-8107	31	10	element	element	NOUN
app01-8107	31	11	tearing	tear	VERB
app01-8107	31	12	and	and	CCONJ
app01-8107	31	13	interconnecting	interconnect	VERB
app01-8107	31	14	dual	dual	ADJ
app01-8107	31	15	-	-	PUNCT
app01-8107	31	16	primal	primal	ADJ
app01-8107	31	17	(	(	PUNCT
app01-8107	31	18	feti	feti	PROPN
app01-8107	31	19	-	-	ADJ
app01-8107	31	20	dp	dp	ADJ
app01-8107	31	21	)	)	PUNCT
app01-8107	31	22	method	method	NOUN
app01-8107	31	23	[	[	X
app01-8107	31	24	8	8	NUM
app01-8107	31	25	]	]	PUNCT
app01-8107	31	26	combines	combine	VERB
app01-8107	31	27	both	both	DET
app01-8107	31	28	approaches	approach	NOUN
app01-8107	31	29	.	.	PUNCT
app01-8107	32	1	in	in	ADP
app01-8107	32	2	the	the	DET
app01-8107	32	3	following	follow	VERB
app01-8107	32	4	two	two	NUM
app01-8107	32	5	subsections	subsection	NOUN
app01-8107	32	6	,	,	PUNCT
app01-8107	32	7	we	we	PRON
app01-8107	32	8	briefly	briefly	ADV
app01-8107	32	9	summarize	summarize	VERB
app01-8107	32	10	the	the	DET
app01-8107	32	11	essentials	essential	NOUN
app01-8107	32	12	of	of	ADP
app01-8107	32	13	both	both	CCONJ
app01-8107	32	14	dual	dual	ADJ
app01-8107	32	15	and	and	CCONJ
app01-8107	32	16	dual	dual	ADJ
app01-8107	32	17	-	-	PUNCT
app01-8107	32	18	primal	primal	ADJ
app01-8107	32	19	methods	method	NOUN
app01-8107	32	20	.	.	PUNCT
app01-8107	33	1	2.1	2.1	NUM
app01-8107	33	2	.	.	PUNCT
app01-8107	34	1	total	total	NOUN
app01-8107	34	2	-	-	PUNCT
app01-8107	34	3	feti	feti	PROPN
app01-8107	34	4	the	the	DET
app01-8107	34	5	total	total	ADJ
app01-8107	34	6	feti	feti	PROPN
app01-8107	34	7	method	method	NOUN
app01-8107	34	8	(	(	PUNCT
app01-8107	34	9	t	t	PROPN
app01-8107	34	10	-	-	PUNCT
app01-8107	34	11	feti	feti	PROPN
app01-8107	34	12	)	)	PUNCT
app01-8107	34	13	,	,	PUNCT
app01-8107	34	14	introduced	introduce	VERB
app01-8107	34	15	by	by	ADP
app01-8107	34	16	dostál	dostál	PROPN
app01-8107	34	17	and	and	CCONJ
app01-8107	34	18	co	co	NOUN
app01-8107	34	19	-	-	NOUN
app01-8107	34	20	workers	worker	NOUN
app01-8107	34	21	[	[	X
app01-8107	34	22	9	9	NUM
app01-8107	34	23	]	]	PUNCT
app01-8107	34	24	and	and	CCONJ
app01-8107	34	25	adopted	adopt	VERB
app01-8107	34	26	here	here	ADV
app01-8107	34	27	as	as	ADP
app01-8107	34	28	a	a	DET
app01-8107	34	29	representative	representative	NOUN
app01-8107	34	30	of	of	ADP
app01-8107	34	31	the	the	DET
app01-8107	34	32	dual	dual	ADJ
app01-8107	34	33	domain	domain	NOUN
app01-8107	34	34	decomposition	decomposition	NOUN
app01-8107	34	35	methods	method	NOUN
app01-8107	34	36	,	,	PUNCT
app01-8107	34	37	is	be	AUX
app01-8107	34	38	closely	closely	ADV
app01-8107	34	39	related	relate	VERB
app01-8107	34	40	to	to	ADP
app01-8107	34	41	the	the	DET
app01-8107	34	42	original	original	ADJ
app01-8107	34	43	feti	feti	PROPN
app01-8107	34	44	method	method	NOUN
app01-8107	34	45	[	[	X
app01-8107	34	46	7	7	NUM
app01-8107	34	47	]	]	PUNCT
app01-8107	34	48	with	with	ADP
app01-8107	34	49	the	the	DET
app01-8107	34	50	main	main	ADJ
app01-8107	34	51	difference	difference	NOUN
app01-8107	34	52	being	be	AUX
app01-8107	34	53	the	the	DET
app01-8107	34	54	way	way	NOUN
app01-8107	34	55	the	the	DET
app01-8107	34	56	dirichlet	dirichlet	PROPN
app01-8107	34	57	boundary	boundary	PROPN
app01-8107	34	58	conditions	condition	NOUN
app01-8107	34	59	(	(	PUNCT
app01-8107	34	60	bc	bc	PROPN
app01-8107	34	61	)	)	PUNCT
app01-8107	34	62	are	be	AUX
app01-8107	34	63	imposed	impose	VERB
app01-8107	34	64	.	.	PUNCT
app01-8107	35	1	in	in	ADP
app01-8107	35	2	t	t	PROPN
app01-8107	35	3	-	-	PUNCT
app01-8107	35	4	feti	feti	PROPN
app01-8107	35	5	,	,	PUNCT
app01-8107	35	6	these	these	DET
app01-8107	35	7	bc	bc	PROPN
app01-8107	35	8	are	be	AUX
app01-8107	35	9	handled	handle	VERB
app01-8107	35	10	similarly	similarly	ADV
app01-8107	35	11	to	to	ADP
app01-8107	35	12	enforcing	enforce	VERB
app01-8107	35	13	the	the	DET
app01-8107	35	14	continuity	continuity	NOUN
app01-8107	35	15	across	across	ADP
app01-8107	35	16	subdomain	subdomain	NOUN
app01-8107	35	17	boundaries	boundary	NOUN
app01-8107	35	18	,	,	PUNCT
app01-8107	35	19	i.e.	i.e.	X
app01-8107	35	20	the	the	DET
app01-8107	35	21	constraints	constraint	NOUN
app01-8107	35	22	posed	pose	VERB
app01-8107	35	23	on	on	ADP
app01-8107	35	24	the	the	DET
app01-8107	35	25	domain	domain	NOUN
app01-8107	35	26	-	-	PUNCT
app01-8107	35	27	wise	wise	ADJ
app01-8107	35	28	displacements	displacement	NOUN
app01-8107	35	29	us	we	PRON
app01-8107	35	30	read	read	VERB
app01-8107	35	31	as	as	ADP
app01-8107	35	32	ns∑	ns∑	PROPN
app01-8107	35	33	s=1	s=1	NOUN
app01-8107	35	34	bsus	bsus	NOUN
app01-8107	35	35	=	=	PUNCT
app01-8107	36	1	bu	bu	PROPN
app01-8107	36	2	=	=	SYM
app01-8107	36	3	c	c	X
app01-8107	36	4	(	(	PUNCT
app01-8107	36	5	4	4	NUM
app01-8107	36	6	)	)	PUNCT
app01-8107	36	7	where	where	SCONJ
app01-8107	36	8	u	u	PRON
app01-8107	36	9	collects	collect	VERB
app01-8107	36	10	the	the	DET
app01-8107	36	11	domain	domain	NOUN
app01-8107	36	12	-	-	PUNCT
app01-8107	36	13	wise	wise	ADJ
app01-8107	36	14	unknowns	unknown	NOUN
app01-8107	36	15	such	such	ADJ
app01-8107	36	16	that	that	DET
app01-8107	36	17	u	u	NOUN
app01-8107	36	18	=	=	PUNCT
app01-8107	36	19	[	[	PUNCT
app01-8107	36	20	u1	u1	PROPN
app01-8107	36	21	t	t	PROPN
app01-8107	36	22	,	,	PUNCT
app01-8107	36	23	u2	u2	PROPN
app01-8107	36	24	t	t	PROPN
app01-8107	36	25	,	,	PUNCT
app01-8107	36	26	.	.	PUNCT
app01-8107	36	27	.	.	PUNCT
app01-8107	37	1	.	.	PUNCT
app01-8107	38	1	,	,	PUNCT
app01-8107	38	2	uns	un	NOUN
app01-8107	38	3	t	t	PROPN
app01-8107	38	4	]	]	X
app01-8107	38	5	t	t	X
app01-8107	38	6	(	(	PUNCT
app01-8107	38	7	5	5	NUM
app01-8107	38	8	)	)	PUNCT
app01-8107	38	9	and	and	CCONJ
app01-8107	38	10	b	b	NOUN
app01-8107	38	11	combines	combine	VERB
app01-8107	38	12	the	the	DET
app01-8107	38	13	individual	individual	ADJ
app01-8107	38	14	bs	bs	NOUN
app01-8107	38	15	’s	’s	NOUN
app01-8107	38	16	accordingly	accordingly	ADV
app01-8107	38	17	.	.	PUNCT
app01-8107	39	1	thus	thus	ADV
app01-8107	39	2	,	,	PUNCT
app01-8107	39	3	in	in	ADP
app01-8107	39	4	contrast	contrast	NOUN
app01-8107	39	5	to	to	ADP
app01-8107	39	6	the	the	DET
app01-8107	39	7	standard	standard	ADJ
app01-8107	39	8	feti	feti	PROPN
app01-8107	39	9	,	,	PUNCT
app01-8107	39	10	constraint	constraint	NOUN
app01-8107	39	11	(	(	PUNCT
app01-8107	39	12	4	4	X
app01-8107	39	13	)	)	PUNCT
app01-8107	39	14	features	feature	VERB
app01-8107	39	15	a	a	DET
app01-8107	39	16	right	right	ADJ
app01-8107	39	17	-	-	PUNCT
app01-8107	39	18	hand	hand	NOUN
app01-8107	39	19	side	side	NOUN
app01-8107	39	20	vector	vector	NOUN
app01-8107	39	21	c	c	PROPN
app01-8107	39	22	that	that	PRON
app01-8107	39	23	is	be	AUX
app01-8107	39	24	in	in	ADP
app01-8107	39	25	general	general	ADJ
app01-8107	39	26	nontrivial	nontrivial	NOUN
app01-8107	39	27	;	;	PUNCT
app01-8107	39	28	in	in	ADP
app01-8107	39	29	addition	addition	NOUN
app01-8107	39	30	to	to	ADP
app01-8107	39	31	the	the	DET
app01-8107	39	32	zero	zero	NUM
app01-8107	39	33	entries	entry	NOUN
app01-8107	39	34	pertinent	pertinent	ADJ
app01-8107	39	35	to	to	ADP
app01-8107	39	36	the	the	DET
app01-8107	39	37	cross	cross	ADJ
app01-8107	39	38	-	-	ADJ
app01-8107	39	39	boundary	boundary	ADJ
app01-8107	39	40	continuity	continuity	NOUN
app01-8107	39	41	,	,	PUNCT
app01-8107	39	42	it	it	PRON
app01-8107	39	43	also	also	ADV
app01-8107	39	44	contains	contain	VERB
app01-8107	39	45	values	value	NOUN
app01-8107	39	46	related	relate	VERB
app01-8107	39	47	to	to	ADP
app01-8107	39	48	the	the	DET
app01-8107	39	49	dirichlet	dirichlet	PROPN
app01-8107	39	50	bc	bc	PROPN
app01-8107	39	51	.	.	PROPN
app01-8107	40	1	as	as	ADP
app01-8107	40	2	a	a	DET
app01-8107	40	3	result	result	NOUN
app01-8107	40	4	,	,	PUNCT
app01-8107	40	5	the	the	DET
app01-8107	40	6	number	number	NOUN
app01-8107	40	7	of	of	ADP
app01-8107	40	8	rigid	rigid	ADJ
app01-8107	40	9	body	body	NOUN
app01-8107	40	10	modes	mode	NOUN
app01-8107	40	11	of	of	ADP
app01-8107	40	12	each	each	DET
app01-8107	40	13	domain	domain	NOUN
app01-8107	40	14	is	be	AUX
app01-8107	40	15	only	only	ADV
app01-8107	40	16	problem	problem	NOUN
app01-8107	40	17	specific	specific	ADJ
app01-8107	40	18	(	(	PUNCT
app01-8107	40	19	e.g.	e.g.	ADV
app01-8107	40	20	three	three	NUM
app01-8107	40	21	for	for	ADP
app01-8107	40	22	two	two	NUM
app01-8107	40	23	-	-	PUNCT
app01-8107	40	24	dimensional	dimensional	ADJ
app01-8107	40	25	mechanics	mechanic	NOUN
app01-8107	40	26	problems	problem	NOUN
app01-8107	40	27	)	)	PUNCT
app01-8107	40	28	and	and	CCONJ
app01-8107	40	29	factorization	factorization	NOUN
app01-8107	40	30	can	can	AUX
app01-8107	40	31	be	be	AUX
app01-8107	40	32	recycled	recycle	VERB
app01-8107	40	33	for	for	ADP
app01-8107	40	34	all	all	DET
app01-8107	40	35	occurrences	occurrence	NOUN
app01-8107	40	36	of	of	ADP
app01-8107	40	37	one	one	NUM
app01-8107	40	38	module	module	NOUN
app01-8107	40	39	irrespective	irrespective	ADV
app01-8107	40	40	of	of	ADP
app01-8107	40	41	whether	whether	SCONJ
app01-8107	40	42	the	the	DET
app01-8107	40	43	occurrence	occurrence	NOUN
app01-8107	40	44	is	be	AUX
app01-8107	40	45	supported	support	VERB
app01-8107	40	46	or	or	CCONJ
app01-8107	40	47	floating	float	VERB
app01-8107	40	48	.	.	PUNCT
app01-8107	41	1	combining	combine	VERB
app01-8107	41	2	eqs	eqs	PROPN
app01-8107	41	3	.	.	PUNCT
app01-8107	42	1	(	(	PUNCT
app01-8107	42	2	3	3	X
app01-8107	42	3	)	)	PUNCT
app01-8107	42	4	and	and	CCONJ
app01-8107	42	5	(	(	PUNCT
app01-8107	42	6	4	4	X
app01-8107	42	7	)	)	PUNCT
app01-8107	42	8	leads	lead	VERB
app01-8107	42	9	to	to	ADP
app01-8107	42	10	[	[	PUNCT
app01-8107	42	11	k	k	X
app01-8107	42	12	bt	bt	PROPN
app01-8107	42	13	b	b	PROPN
app01-8107	42	14	0	0	NUM
app01-8107	42	15	]	]	PUNCT
app01-8107	42	16	[	[	PUNCT
app01-8107	42	17	u	u	X
app01-8107	42	18	λ	λ	X
app01-8107	42	19	]	]	X
app01-8107	43	1	=	=	PUNCT
app01-8107	44	1	[	[	PUNCT
app01-8107	44	2	f	f	X
app01-8107	44	3	c	c	NOUN
app01-8107	44	4	]	]	X
app01-8107	44	5	(	(	PUNCT
app01-8107	44	6	6	6	NUM
app01-8107	44	7	)	)	PUNCT
app01-8107	44	8	where	where	SCONJ
app01-8107	44	9	k	k	PROPN
app01-8107	44	10	is	be	AUX
app01-8107	44	11	a	a	DET
app01-8107	44	12	block	block	NOUN
app01-8107	44	13	-	-	PUNCT
app01-8107	44	14	diagonal	diagonal	ADJ
app01-8107	44	15	matrix	matrix	NOUN
app01-8107	44	16	composed	compose	VERB
app01-8107	44	17	of	of	ADP
app01-8107	44	18	ks	ks	PROPN
app01-8107	44	19	and	and	CCONJ
app01-8107	44	20	f	f	PROPN
app01-8107	44	21	arises	arise	VERB
app01-8107	44	22	from	from	ADP
app01-8107	44	23	fs	fs	ADP
app01-8107	44	24	assembled	assemble	VERB
app01-8107	44	25	similarly	similarly	ADV
app01-8107	44	26	to	to	ADP
app01-8107	44	27	u	u	NOUN
app01-8107	44	28	in	in	ADP
app01-8107	44	29	eq	eq	ADP
app01-8107	44	30	.	.	PUNCT
app01-8107	45	1	(	(	PUNCT
app01-8107	45	2	5	5	NUM
app01-8107	45	3	)	)	PUNCT
app01-8107	45	4	.	.	PUNCT
app01-8107	46	1	assuming	assume	VERB
app01-8107	46	2	the	the	DET
app01-8107	46	3	λ	λ	PROPN
app01-8107	46	4	is	be	AUX
app01-8107	46	5	known	know	VERB
app01-8107	46	6	and	and	CCONJ
app01-8107	46	7	provided	provide	VERB
app01-8107	46	8	that	that	DET
app01-8107	46	9	f−btλ	f−btλ	NOUN
app01-8107	46	10	is	be	AUX
app01-8107	46	11	orthogonal	orthogonal	ADJ
app01-8107	46	12	to	to	ADP
app01-8107	46	13	the	the	DET
app01-8107	46	14	nullspace	nullspace	NOUN
app01-8107	46	15	of	of	ADP
app01-8107	46	16	k	k	PROPN
app01-8107	46	17	,	,	PUNCT
app01-8107	46	18	u	u	PROPN
app01-8107	46	19	can	can	AUX
app01-8107	46	20	be	be	AUX
app01-8107	46	21	uniquely	uniquely	ADV
app01-8107	46	22	determined	determine	VERB
app01-8107	46	23	up	up	ADP
app01-8107	46	24	to	to	ADP
app01-8107	46	25	rigid	rigid	ADJ
app01-8107	46	26	body	body	NOUN
app01-8107	46	27	modes	mode	NOUN
app01-8107	46	28	of	of	ADP
app01-8107	46	29	individual	individual	ADJ
app01-8107	46	30	domains	domain	NOUN
app01-8107	46	31	expressed	express	VERB
app01-8107	46	32	as	as	ADP
app01-8107	46	33	r	r	NOUN
app01-8107	46	34	α	α	NOUN
app01-8107	46	35	,	,	PUNCT
app01-8107	46	36	where	where	SCONJ
app01-8107	46	37	r	r	NOUN
app01-8107	46	38	is	be	AUX
app01-8107	46	39	a	a	DET
app01-8107	46	40	matrix	matrix	NOUN
app01-8107	46	41	containing	contain	VERB
app01-8107	46	42	the	the	DET
app01-8107	46	43	nullspace	nullspace	NOUN
app01-8107	46	44	vectors	vector	NOUN
app01-8107	46	45	of	of	ADP
app01-8107	46	46	each	each	DET
app01-8107	46	47	domain	domain	NOUN
app01-8107	46	48	and	and	CCONJ
app01-8107	46	49	α	α	NOUN
app01-8107	46	50	is	be	AUX
app01-8107	46	51	a	a	DET
app01-8107	46	52	vector	vector	NOUN
app01-8107	46	53	of	of	ADP
app01-8107	46	54	rigid	rigid	ADJ
app01-8107	46	55	body	body	NOUN
app01-8107	46	56	modes	mode	NOUN
app01-8107	46	57	coefficients	coefficient	NOUN
app01-8107	46	58	.	.	PUNCT
app01-8107	47	1	without	without	ADP
app01-8107	47	2	diving	diving	NOUN
app01-8107	47	3	into	into	ADP
app01-8107	47	4	technical	technical	ADJ
app01-8107	47	5	details	detail	NOUN
app01-8107	47	6	,	,	PUNCT
app01-8107	47	7	for	for	ADP
app01-8107	47	8	which	which	PRON
app01-8107	47	9	we	we	PRON
app01-8107	47	10	refer	refer	VERB
app01-8107	47	11	an	an	DET
app01-8107	47	12	interested	interested	ADJ
app01-8107	47	13	reader	reader	NOUN
app01-8107	47	14	to	to	ADP
app01-8107	47	15	e.g.	e.g.	ADV
app01-8107	47	16	[	[	X
app01-8107	47	17	10	10	NUM
app01-8107	47	18	]	]	PUNCT
app01-8107	47	19	,	,	PUNCT
app01-8107	47	20	the	the	DET
app01-8107	47	21	original	original	ADJ
app01-8107	47	22	formulation	formulation	NOUN
app01-8107	47	23	can	can	AUX
app01-8107	47	24	be	be	AUX
app01-8107	47	25	recast	recast	VERB
app01-8107	47	26	into	into	ADP
app01-8107	47	27	the	the	DET
app01-8107	47	28	dual	dual	ADJ
app01-8107	47	29	form	form	NOUN
app01-8107	47	30	[	[	PUNCT
app01-8107	47	31	f	f	NOUN
app01-8107	47	32	gt	gt	PROPN
app01-8107	47	33	g	g	PROPN
app01-8107	47	34	0	0	NUM
app01-8107	47	35	]	]	PUNCT
app01-8107	48	1	[	[	PUNCT
app01-8107	48	2	λ	λ	X
app01-8107	48	3	α	α	X
app01-8107	48	4	]	]	PUNCT
app01-8107	48	5	=	=	PUNCT
app01-8107	49	1	[	[	PUNCT
app01-8107	49	2	d	d	X
app01-8107	49	3	e	e	X
app01-8107	49	4	]	]	X
app01-8107	49	5	(	(	PUNCT
app01-8107	49	6	7	7	NUM
app01-8107	49	7	)	)	PUNCT
app01-8107	49	8	with	with	ADP
app01-8107	49	9	f	f	PROPN
app01-8107	49	10	=	=	PUNCT
app01-8107	49	11	bk†bt	bk†bt	PROPN
app01-8107	49	12	,	,	PUNCT
app01-8107	49	13	d	d	X
app01-8107	49	14	=	=	SYM
app01-8107	49	15	bk†f	bk†f	PROPN
app01-8107	49	16	−	−	PROPN
app01-8107	49	17	c	c	NOUN
app01-8107	49	18	,	,	PUNCT
app01-8107	49	19	g	g	PROPN
app01-8107	49	20	=	=	SYM
app01-8107	49	21	−rtbt	−rtbt	PROPN
app01-8107	49	22	,	,	PUNCT
app01-8107	49	23	e	e	NOUN
app01-8107	49	24	=	=	SYM
app01-8107	49	25	−rtf	−rtf	NOUN
app01-8107	49	26	,	,	PUNCT
app01-8107	49	27	where	where	SCONJ
app01-8107	49	28	k†	k†	PROPN
app01-8107	49	29	denotes	denote	VERB
app01-8107	49	30	the	the	DET
app01-8107	49	31	moore	moore	PROPN
app01-8107	49	32	-	-	PUNCT
app01-8107	49	33	penrose	penrose	NOUN
app01-8107	49	34	pseudo	pseudo	NOUN
app01-8107	49	35	-	-	NOUN
app01-8107	49	36	inverse	inverse	NOUN
app01-8107	49	37	of	of	ADP
app01-8107	49	38	k.	k.	PROPN
app01-8107	49	39	problem	problem	PROPN
app01-8107	49	40	(	(	PUNCT
app01-8107	49	41	7	7	X
app01-8107	49	42	)	)	PUNCT
app01-8107	49	43	is	be	AUX
app01-8107	49	44	traditionally	traditionally	ADV
app01-8107	49	45	solved	solve	VERB
app01-8107	49	46	with	with	ADP
app01-8107	49	47	a	a	DET
app01-8107	49	48	projected	project	VERB
app01-8107	49	49	preconditioned	precondition	VERB
app01-8107	49	50	conjugate	conjugate	ADJ
app01-8107	49	51	gradient	gradient	NOUN
app01-8107	49	52	method	method	NOUN
app01-8107	49	53	.	.	PUNCT
app01-8107	50	1	2.2	2.2	NUM
app01-8107	50	2	.	.	PUNCT
app01-8107	51	1	feti	feti	NOUN
app01-8107	51	2	-	-	PUNCT
app01-8107	51	3	dp	dp	NOUN
app01-8107	51	4	in	in	ADP
app01-8107	51	5	finite	finite	ADJ
app01-8107	51	6	element	element	NOUN
app01-8107	51	7	tearing	tear	VERB
app01-8107	51	8	and	and	CCONJ
app01-8107	51	9	interconnecting	interconnect	VERB
app01-8107	51	10	dualprimal	dualprimal	ADJ
app01-8107	51	11	(	(	PUNCT
app01-8107	51	12	feti	feti	PROPN
app01-8107	51	13	-	-	ADJ
app01-8107	51	14	dp	dp	ADJ
app01-8107	51	15	)	)	PUNCT
app01-8107	51	16	method	method	NOUN
app01-8107	51	17	[	[	X
app01-8107	51	18	8	8	NUM
app01-8107	51	19	]	]	PUNCT
app01-8107	51	20	,	,	PUNCT
app01-8107	51	21	the	the	DET
app01-8107	51	22	domain	domain	NOUN
app01-8107	51	23	-	-	PUNCT
app01-8107	51	24	wise	wise	ADJ
app01-8107	51	25	displacement	displacement	ADJ
app01-8107	51	26	field	field	NOUN
app01-8107	51	27	us	we	PRON
app01-8107	51	28	is	be	AUX
app01-8107	51	29	decomposed	decompose	VERB
app01-8107	51	30	into	into	ADP
app01-8107	51	31	two	two	NUM
app01-8107	51	32	parts	part	NOUN
app01-8107	51	33	:	:	PUNCT
app01-8107	51	34	(	(	PUNCT
app01-8107	51	35	1	1	NUM
app01-8107	51	36	.	.	PUNCT
app01-8107	51	37	)	)	PUNCT
app01-8107	52	1	boundary	boundary	ADJ
app01-8107	52	2	degrees	degree	NOUN
app01-8107	52	3	of	of	ADP
app01-8107	52	4	freedom	freedom	NOUN
app01-8107	52	5	us	us	PROPN
app01-8107	52	6	c	c	X
app01-8107	52	7	whose	whose	DET
app01-8107	52	8	continuity	continuity	NOUN
app01-8107	52	9	is	be	AUX
app01-8107	52	10	directly	directly	ADV
app01-8107	52	11	enforced	enforce	VERB
app01-8107	52	12	in	in	ADP
app01-8107	52	13	the	the	DET
app01-8107	52	14	primal	primal	ADJ
app01-8107	52	15	unknowns	unknown	NOUN
app01-8107	52	16	,	,	PUNCT
app01-8107	52	17	and	and	CCONJ
app01-8107	52	18	(	(	PUNCT
app01-8107	52	19	2	2	NUM
app01-8107	52	20	.	.	PUNCT
app01-8107	52	21	)	)	PUNCT
app01-8107	52	22	remaining	remain	VERB
app01-8107	52	23	degrees	degree	NOUN
app01-8107	52	24	of	of	ADP
app01-8107	52	25	freedom	freedom	NOUN
app01-8107	52	26	us	we	PRON
app01-8107	52	27	r	r	NOUN
app01-8107	52	28	that	that	PRON
app01-8107	52	29	contain	contain	VERB
app01-8107	52	30	both	both	DET
app01-8107	52	31	internal	internal	ADJ
app01-8107	52	32	degrees	degree	NOUN
app01-8107	52	33	of	of	ADP
app01-8107	52	34	freedom	freedom	NOUN
app01-8107	52	35	,	,	PUNCT
app01-8107	52	36	which	which	PRON
app01-8107	52	37	do	do	AUX
app01-8107	52	38	not	not	PART
app01-8107	52	39	directly	directly	ADV
app01-8107	52	40	communicate	communicate	VERB
app01-8107	52	41	with	with	ADP
app01-8107	52	42	other	other	ADJ
app01-8107	52	43	domains	domain	NOUN
app01-8107	52	44	,	,	PUNCT
app01-8107	52	45	and	and	CCONJ
app01-8107	52	46	boundary	boundary	ADJ
app01-8107	52	47	degrees	degree	NOUN
app01-8107	52	48	of	of	ADP
app01-8107	52	49	freedom	freedom	NOUN
app01-8107	52	50	whose	whose	DET
app01-8107	52	51	continuity	continuity	NOUN
app01-8107	52	52	is	be	AUX
app01-8107	52	53	enforced	enforce	VERB
app01-8107	52	54	via	via	ADP
app01-8107	52	55	equality	equality	NOUN
app01-8107	52	56	constraints	constraint	NOUN
app01-8107	52	57	,	,	PUNCT
app01-8107	52	58	similarly	similarly	ADV
app01-8107	52	59	to	to	ADP
app01-8107	52	60	eq	eq	PROPN
app01-8107	52	61	.	.	PUNCT
app01-8107	53	1	(	(	PUNCT
app01-8107	53	2	4	4	NUM
app01-8107	53	3	)	)	PUNCT
app01-8107	53	4	.	.	PUNCT
app01-8107	54	1	without	without	ADP
app01-8107	54	2	loss	loss	NOUN
app01-8107	54	3	of	of	ADP
app01-8107	54	4	generality	generality	NOUN
app01-8107	54	5	,	,	PUNCT
app01-8107	54	6	we	we	PRON
app01-8107	54	7	assume	assume	VERB
app01-8107	54	8	that	that	SCONJ
app01-8107	54	9	us	we	PRON
app01-8107	54	10	is	be	AUX
app01-8107	54	11	ordered	order	VERB
app01-8107	54	12	such	such	ADJ
app01-8107	54	13	that	that	SCONJ
app01-8107	54	14	us	we	PRON
app01-8107	55	1	=	=	PUNCT
app01-8107	55	2	[	[	PUNCT
app01-8107	55	3	us	we	PRON
app01-8107	55	4	r	r	VERB
app01-8107	55	5	us	we	PRON
app01-8107	55	6	c	c	X
app01-8107	55	7	]	]	PUNCT
app01-8107	55	8	,	,	PUNCT
app01-8107	55	9	ks	ks	NOUN
app01-8107	55	10	=	=	PUNCT
app01-8107	55	11	[	[	PUNCT
app01-8107	55	12	ks	ks	X
app01-8107	55	13	rr	rr	PROPN
app01-8107	55	14	ks	ks	PROPN
app01-8107	55	15	rc	rc	PROPN
app01-8107	55	16	ks	ks	PROPN
app01-8107	55	17	cr	cr	PROPN
app01-8107	55	18	ks	ks	PROPN
app01-8107	55	19	cc	cc	PROPN
app01-8107	55	20	]	]	PUNCT
app01-8107	55	21	,	,	PUNCT
app01-8107	55	22	and	and	CCONJ
app01-8107	55	23	fs	fs	ADP
app01-8107	55	24	=	=	PUNCT
app01-8107	56	1	[	[	PUNCT
app01-8107	56	2	fs	fs	ADP
app01-8107	56	3	r	r	NOUN
app01-8107	56	4	fs	fs	NOUN
app01-8107	56	5	c	c	NOUN
app01-8107	56	6	]	]	PUNCT
app01-8107	56	7	.	.	PUNCT
app01-8107	57	1	(	(	PUNCT
app01-8107	57	2	8)	8)	NUM
app01-8107	57	3	furthermore	furthermore	ADV
app01-8107	57	4	,	,	PUNCT
app01-8107	57	5	we	we	PRON
app01-8107	57	6	consider	consider	VERB
app01-8107	57	7	a	a	DET
app01-8107	57	8	global	global	ADJ
app01-8107	57	9	vector	vector	NOUN
app01-8107	57	10	uc	uc	PROPN
app01-8107	57	11	that	that	PRON
app01-8107	57	12	stores	store	VERB
app01-8107	57	13	the	the	DET
app01-8107	57	14	shared	share	VERB
app01-8107	57	15	boundary	boundary	ADJ
app01-8107	57	16	degrees	degree	NOUN
app01-8107	57	17	of	of	ADP
app01-8107	57	18	freedom	freedom	NOUN
app01-8107	57	19	(	(	PUNCT
app01-8107	57	20	dofs	dofs	NOUN
app01-8107	57	21	)	)	PUNCT
app01-8107	57	22	and	and	CCONJ
app01-8107	57	23	a	a	DET
app01-8107	57	24	boolean	boolean	ADJ
app01-8107	57	25	matrix	matrix	NOUN
app01-8107	57	26	bs	bs	ADP
app01-8107	57	27	c	c	PROPN
app01-8107	57	28	such	such	ADJ
app01-8107	57	29	that	that	SCONJ
app01-8107	57	30	us	we	PRON
app01-8107	57	31	c	c	NOUN
app01-8107	57	32	=	=	PUNCT
app01-8107	57	33	bs	bs	NOUN
app01-8107	57	34	cuc	cuc	PROPN
app01-8107	57	35	.	.	PUNCT
app01-8107	58	1	(	(	PUNCT
app01-8107	58	2	9	9	X
app01-8107	58	3	)	)	PUNCT
app01-8107	58	4	44	44	NUM
app01-8107	58	5	vol	vol	NOUN
app01-8107	58	6	.	.	PUNCT
app01-8107	59	1	34/2022	34/2022	NUM
app01-8107	59	2	feti	feti	PROPN
app01-8107	59	3	methods	method	NOUN
app01-8107	59	4	for	for	ADP
app01-8107	59	5	topology	topology	NOUN
app01-8107	59	6	optimization	optimization	NOUN
app01-8107	59	7	problems	problem	VERB
app01-8107	59	8	the	the	DET
app01-8107	59	9	equality	equality	NOUN
app01-8107	59	10	constraint	constraint	NOUN
app01-8107	59	11	ensuring	ensure	VERB
app01-8107	59	12	continuity	continuity	NOUN
app01-8107	59	13	of	of	ADP
app01-8107	59	14	the	the	DET
app01-8107	59	15	remaining	remain	VERB
app01-8107	59	16	us	us	PROPN
app01-8107	59	17	b	b	PROPN
app01-8107	59	18	then	then	ADV
app01-8107	59	19	reads	read	VERB
app01-8107	59	20	ns∑	ns∑	NOUN
app01-8107	59	21	s=1	s=1	PUNCT
app01-8107	59	22	bs	bs	NOUN
app01-8107	59	23	rus	rus	NOUN
app01-8107	59	24	r	r	NOUN
app01-8107	59	25	=	=	NOUN
app01-8107	59	26	brur	brur	NOUN
app01-8107	59	27	=	=	SYM
app01-8107	59	28	0	0	NUM
app01-8107	59	29	,	,	PUNCT
app01-8107	59	30	(	(	PUNCT
app01-8107	59	31	10	10	NUM
app01-8107	59	32	)	)	PUNCT
app01-8107	59	33	where	where	SCONJ
app01-8107	59	34	—	—	PUNCT
app01-8107	59	35	analogously	analogously	ADV
app01-8107	59	36	to	to	ADP
app01-8107	59	37	eqs	eqs	PROPN
app01-8107	59	38	.	.	PUNCT
app01-8107	60	1	(	(	PUNCT
app01-8107	60	2	4	4	NUM
app01-8107	60	3	)	)	PUNCT
app01-8107	60	4	and	and	CCONJ
app01-8107	60	5	(	(	PUNCT
app01-8107	60	6	5)—ur	5)—ur	NOUN
app01-8107	60	7	and	and	CCONJ
app01-8107	60	8	br	br	NOUN
app01-8107	60	9	are	be	AUX
app01-8107	60	10	concatenations	concatenation	NOUN
app01-8107	60	11	of	of	ADP
app01-8107	60	12	us	we	PRON
app01-8107	60	13	r	r	NOUN
app01-8107	60	14	and	and	CCONJ
app01-8107	60	15	bs	bs	NOUN
app01-8107	60	16	r	r	NOUN
app01-8107	60	17	,	,	PUNCT
app01-8107	60	18	respectively	respectively	ADV
app01-8107	60	19	.	.	PUNCT
app01-8107	61	1	expressing	express	VERB
app01-8107	61	2	the	the	DET
app01-8107	61	3	equilibrium	equilibrium	NOUN
app01-8107	61	4	(	(	PUNCT
app01-8107	61	5	3	3	NUM
app01-8107	61	6	)	)	PUNCT
app01-8107	61	7	and	and	CCONJ
app01-8107	61	8	the	the	DET
app01-8107	61	9	constraint	constraint	NOUN
app01-8107	61	10	(	(	PUNCT
app01-8107	61	11	10	10	NUM
app01-8107	61	12	)	)	PUNCT
app01-8107	61	13	in	in	ADP
app01-8107	61	14	terms	term	NOUN
app01-8107	61	15	of	of	ADP
app01-8107	61	16	the	the	DET
app01-8107	61	17	quantities	quantity	NOUN
app01-8107	61	18	introduced	introduce	VERB
app01-8107	61	19	in	in	ADP
app01-8107	61	20	eqs	eqs	PROPN
app01-8107	61	21	.	.	PUNCT
app01-8107	62	1	(	(	PUNCT
app01-8107	62	2	8)–(10	8)–(10	NUM
app01-8107	62	3	)	)	PUNCT
app01-8107	62	4	leads	lead	VERB
app01-8107	62	5	tokcc	tokcc	ADJ
app01-8107	62	6	kcr	kcr	NOUN
app01-8107	62	7	0	0	PROPN
app01-8107	63	1	krc	krc	PROPN
app01-8107	63	2	krr	krr	PROPN
app01-8107	63	3	bt	bt	PROPN
app01-8107	63	4	r	r	NOUN
app01-8107	63	5	0	0	NUM
app01-8107	63	6	br	br	NOUN
app01-8107	63	7	0	0	NUM
app01-8107	63	8			NOUN
app01-8107	63	9	uc	uc	VERB
app01-8107	63	10	ur	ur	NOUN
app01-8107	63	11	λ	λ	NOUN
app01-8107	63	12			NOUN
app01-8107	63	13	=	=	PUNCT
app01-8107	63	14	fc	fc	ADJ
app01-8107	63	15	fr	fr	NOUN
app01-8107	63	16	0	0	NUM
app01-8107	63	17			NOUN
app01-8107	63	18	,	,	PUNCT
app01-8107	63	19	(	(	PUNCT
app01-8107	63	20	11	11	NUM
app01-8107	63	21	)	)	PUNCT
app01-8107	63	22	with	with	ADP
app01-8107	63	23	kcc	kcc	PROPN
app01-8107	63	24	=	=	SYM
app01-8107	63	25	ns∑	ns∑	NOUN
app01-8107	64	1	s=1	s=1	INTJ
app01-8107	64	2	bs	bs	INTJ
app01-8107	65	1	c	c	PROPN
app01-8107	65	2	tks	tks	PROPN
app01-8107	65	3	ccbs	ccbs	PROPN
app01-8107	65	4	c	c	PROPN
app01-8107	65	5	,	,	PUNCT
app01-8107	65	6	fc	fc	PROPN
app01-8107	65	7	=	=	PUNCT
app01-8107	65	8	ns∑	ns∑	NOUN
app01-8107	66	1	s=1	s=1	INTJ
app01-8107	66	2	bs	bs	INTJ
app01-8107	66	3	c	c	PROPN
app01-8107	66	4	tfs	tfs	PROPN
app01-8107	66	5	c	c	PROPN
app01-8107	66	6	,	,	PUNCT
app01-8107	66	7	kcr	kcr	X
app01-8107	66	8	=	=	PUNCT
app01-8107	66	9	kt	kt	PROPN
app01-8107	66	10	rc	rc	PROPN
app01-8107	66	11	=	=	PUNCT
app01-8107	66	12	[	[	PUNCT
app01-8107	66	13	b1	b1	PROPN
app01-8107	66	14	c	c	PROPN
app01-8107	66	15	tk1	tk1	PROPN
app01-8107	67	1	cr	cr	PROPN
app01-8107	67	2	b2	b2	PROPN
app01-8107	67	3	c	c	PROPN
app01-8107	67	4	tk2	tk2	PROPN
app01-8107	67	5	cr	cr	PROPN
app01-8107	67	6	.	.	PUNCT
app01-8107	67	7	.	.	PUNCT
app01-8107	67	8	.	.	PUNCT
app01-8107	68	1	bns	bns	PROPN
app01-8107	68	2	c	c	PROPN
app01-8107	68	3	tkns	tkns	PROPN
app01-8107	68	4	cr	cr	X
app01-8107	68	5	]	]	PUNCT
app01-8107	68	6	,	,	PUNCT
app01-8107	68	7	krr	krr	PROPN
app01-8107	68	8	=	=	SYM
app01-8107	68	9			PROPN
app01-8107	68	10	k1	k1	PROPN
app01-8107	68	11	rr	rr	NOUN
app01-8107	68	12	0	0	NUM
app01-8107	68	13	.	.	PUNCT
app01-8107	68	14	.	.	PUNCT
app01-8107	69	1	.	.	PUNCT
app01-8107	70	1	0	0	NUM
app01-8107	70	2	0	0	NUM
app01-8107	70	3	k2	k2	PROPN
app01-8107	70	4	rr	rr	PROPN
app01-8107	70	5	.	.	PUNCT
app01-8107	70	6	.	.	PUNCT
app01-8107	70	7	.	.	PUNCT
app01-8107	71	1	0	0	NUM
app01-8107	71	2	...	...	PUNCT
app01-8107	71	3	...	...	PUNCT
app01-8107	71	4	.	.	PUNCT
app01-8107	71	5	.	.	PUNCT
app01-8107	71	6	.	.	PUNCT
app01-8107	72	1	...	...	PUNCT
app01-8107	73	1	0	0	NUM
app01-8107	73	2	0	0	NUM
app01-8107	73	3	.	.	PUNCT
app01-8107	73	4	.	.	PUNCT
app01-8107	73	5	.	.	PUNCT
app01-8107	74	1	kns	kns	PROPN
app01-8107	74	2	rr	rr	PROPN
app01-8107	74	3			PROPN
app01-8107	74	4	,	,	PUNCT
app01-8107	74	5	and	and	CCONJ
app01-8107	74	6	fr	fr	NOUN
app01-8107	74	7	=	=	PUNCT
app01-8107	74	8			PROPN
app01-8107	74	9	f1	f1	NOUN
app01-8107	74	10	r	r	NOUN
app01-8107	74	11	f2	f2	PROPN
app01-8107	74	12	r	r	NOUN
app01-8107	74	13	...	...	PUNCT
app01-8107	74	14	fns	fns	PROPN
app01-8107	74	15	r	r	PROPN
app01-8107	74	16	.	.	PROPN
app01-8107	74	17	finally	finally	ADV
app01-8107	74	18	,	,	PUNCT
app01-8107	74	19	due	due	ADP
app01-8107	74	20	to	to	ADP
app01-8107	74	21	the	the	DET
app01-8107	74	22	domain	domain	NOUN
app01-8107	74	23	-	-	PUNCT
app01-8107	74	24	wise	wise	ADJ
app01-8107	74	25	nature	nature	NOUN
app01-8107	74	26	of	of	ADP
app01-8107	74	27	the	the	DET
app01-8107	74	28	second	second	ADJ
app01-8107	74	29	row	row	NOUN
app01-8107	74	30	in	in	ADP
app01-8107	74	31	eq	eq	ADP
app01-8107	74	32	.	.	PUNCT
app01-8107	75	1	(	(	PUNCT
app01-8107	75	2	11	11	NUM
app01-8107	75	3	)	)	PUNCT
app01-8107	75	4	,	,	PUNCT
app01-8107	75	5	us	we	PRON
app01-8107	75	6	r	r	NOUN
app01-8107	75	7	can	can	AUX
app01-8107	75	8	be	be	AUX
app01-8107	75	9	computed	compute	VERB
app01-8107	75	10	in	in	ADP
app01-8107	75	11	parallel	parallel	NOUN
app01-8107	75	12	from	from	ADP
app01-8107	75	13	the	the	DET
app01-8107	75	14	known	known	ADJ
app01-8107	75	15	uc	uc	PROPN
app01-8107	75	16	and	and	CCONJ
app01-8107	75	17	λ	λ	NOUN
app01-8107	75	18	;	;	PUNCT
app01-8107	75	19	hence	hence	ADV
app01-8107	75	20	,	,	PUNCT
app01-8107	75	21	plugging	plug	VERB
app01-8107	75	22	the	the	DET
app01-8107	75	23	expression	expression	NOUN
app01-8107	75	24	for	for	ADP
app01-8107	75	25	us	we	PRON
app01-8107	75	26	r	r	NOUN
app01-8107	75	27	in	in	ADP
app01-8107	75	28	terms	term	NOUN
app01-8107	75	29	of	of	ADP
app01-8107	75	30	the	the	DET
app01-8107	75	31	remaining	remain	VERB
app01-8107	75	32	quantities	quantity	NOUN
app01-8107	75	33	into	into	ADP
app01-8107	75	34	the	the	DET
app01-8107	75	35	first	first	ADJ
app01-8107	75	36	and	and	CCONJ
app01-8107	75	37	the	the	DET
app01-8107	75	38	third	third	ADJ
app01-8107	75	39	rows	row	NOUN
app01-8107	75	40	of	of	ADP
app01-8107	75	41	eq	eq	PROPN
app01-8107	75	42	.	.	PUNCT
app01-8107	76	1	(	(	PUNCT
app01-8107	76	2	11	11	NUM
app01-8107	76	3	)	)	PUNCT
app01-8107	76	4	leads	lead	VERB
app01-8107	76	5	to	to	ADP
app01-8107	76	6	the	the	DET
app01-8107	76	7	final	final	ADJ
app01-8107	76	8	dual	dual	ADJ
app01-8107	76	9	-	-	PUNCT
app01-8107	76	10	primal	primal	ADJ
app01-8107	76	11	form	form	NOUN
app01-8107	76	12	[	[	PUNCT
app01-8107	76	13	frr	frr	X
app01-8107	76	14	frc	frc	PROPN
app01-8107	76	15	ft	ft	PROPN
app01-8107	76	16	rc	rc	PROPN
app01-8107	76	17	−k̄cc	−k̄cc	NOUN
app01-8107	76	18	]	]	PUNCT
app01-8107	77	1	[	[	PUNCT
app01-8107	77	2	λ	λ	X
app01-8107	77	3	uc	uc	NOUN
app01-8107	77	4	]	]	PUNCT
app01-8107	77	5	=	=	PUNCT
app01-8107	77	6	[	[	PUNCT
app01-8107	77	7	dr	dr	PROPN
app01-8107	77	8	−f̄c	−f̄c	PROPN
app01-8107	77	9	]	]	PUNCT
app01-8107	77	10	,	,	PUNCT
app01-8107	77	11	(	(	PUNCT
app01-8107	77	12	12	12	NUM
app01-8107	77	13	)	)	PUNCT
app01-8107	77	14	where	where	SCONJ
app01-8107	77	15	frr	frr	PROPN
app01-8107	77	16	=	=	SYM
app01-8107	77	17	brk−1	brk−1	PROPN
app01-8107	77	18	rr	rr	NOUN
app01-8107	77	19	bt	bt	NOUN
app01-8107	77	20	r	r	NOUN
app01-8107	77	21	,	,	PUNCT
app01-8107	77	22	frc	frc	PROPN
app01-8107	77	23	=	=	PUNCT
app01-8107	77	24	brk−1	brk−1	PROPN
app01-8107	77	25	rr	rr	PROPN
app01-8107	77	26	krc	krc	PROPN
app01-8107	77	27	,	,	PUNCT
app01-8107	77	28	k̄cc	k̄cc	PROPN
app01-8107	77	29	=	=	PROPN
app01-8107	77	30	kcc	kcc	PROPN
app01-8107	77	31	−	−	PROPN
app01-8107	77	32	kcrk−1	kcrk−1	PROPN
app01-8107	77	33	rr	rr	PROPN
app01-8107	77	34	krc	krc	PROPN
app01-8107	77	35	,	,	PUNCT
app01-8107	77	36	dr	dr	PROPN
app01-8107	77	37	=	=	PUNCT
app01-8107	77	38	brk−1	brk−1	PROPN
app01-8107	77	39	rr	rr	NOUN
app01-8107	77	40	fr	fr	INTJ
app01-8107	77	41	,	,	PUNCT
app01-8107	77	42	f̄c	f̄c	PROPN
app01-8107	77	43	=	=	PUNCT
app01-8107	77	44	fc	fc	PROPN
app01-8107	78	1	−	−	PROPN
app01-8107	78	2	kcrk−1	kcrk−1	NOUN
app01-8107	78	3	kk	kk	INTJ
app01-8107	78	4	fr	fr	INTJ
app01-8107	78	5	.	.	PUNCT
app01-8107	79	1	note	note	VERB
app01-8107	79	2	that	that	SCONJ
app01-8107	79	3	dofs	dof	NOUN
app01-8107	79	4	in	in	ADP
app01-8107	79	5	uc	uc	PROPN
app01-8107	79	6	are	be	AUX
app01-8107	79	7	chosen	choose	VERB
app01-8107	79	8	such	such	ADJ
app01-8107	79	9	that	that	SCONJ
app01-8107	79	10	there	there	PRON
app01-8107	79	11	is	be	VERB
app01-8107	79	12	no	no	DET
app01-8107	79	13	need	need	NOUN
app01-8107	79	14	for	for	ADP
app01-8107	79	15	a	a	DET
app01-8107	79	16	pseudo	pseudo	NOUN
app01-8107	79	17	-	-	NOUN
app01-8107	79	18	inverse	inverse	NOUN
app01-8107	79	19	of	of	ADP
app01-8107	79	20	krr	krr	PROPN
app01-8107	79	21	in	in	ADP
app01-8107	79	22	contrast	contrast	NOUN
app01-8107	79	23	to	to	ADP
app01-8107	79	24	t	t	PROPN
app01-8107	79	25	-	-	PUNCT
app01-8107	79	26	feti	feti	PROPN
app01-8107	79	27	.	.	PUNCT
app01-8107	80	1	in	in	ADP
app01-8107	80	2	feti	feti	PROPN
app01-8107	80	3	-	-	PUNCT
app01-8107	80	4	dp	dp	ADJ
app01-8107	80	5	,	,	PUNCT
app01-8107	80	6	dofs	dof	NOUN
app01-8107	80	7	related	relate	VERB
app01-8107	80	8	to	to	ADP
app01-8107	80	9	corner	corner	NOUN
app01-8107	80	10	nodes	node	NOUN
app01-8107	80	11	in	in	ADP
app01-8107	80	12	a	a	DET
app01-8107	80	13	regular	regular	ADJ
app01-8107	80	14	subdomain	subdomain	NOUN
app01-8107	80	15	partitioning	partitioning	NOUN
app01-8107	80	16	typically	typically	ADV
app01-8107	80	17	constitute	constitute	VERB
app01-8107	80	18	uc	uc	PROPN
app01-8107	80	19	.	.	PROPN
app01-8107	80	20	problem	problem	NOUN
app01-8107	80	21	(	(	PUNCT
app01-8107	80	22	12	12	NUM
app01-8107	80	23	)	)	PUNCT
app01-8107	80	24	is	be	AUX
app01-8107	80	25	traditionally	traditionally	ADV
app01-8107	80	26	solved	solve	VERB
app01-8107	80	27	iteratively	iteratively	ADV
app01-8107	80	28	with	with	ADP
app01-8107	80	29	a	a	DET
app01-8107	80	30	preconditioned	precondition	VERB
app01-8107	80	31	conjugate	conjugate	ADJ
app01-8107	80	32	gradient	gradient	NOUN
app01-8107	80	33	method	method	NOUN
app01-8107	80	34	with	with	ADP
app01-8107	80	35	uc	uc	PROPN
app01-8107	80	36	being	be	AUX
app01-8107	80	37	condensed	condense	VERB
app01-8107	80	38	out	out	ADP
app01-8107	80	39	,	,	PUNCT
app01-8107	80	40	resulting	result	VERB
app01-8107	80	41	in	in	ADP
app01-8107	80	42	a	a	DET
app01-8107	80	43	problem	problem	NOUN
app01-8107	80	44	dependent	dependent	ADJ
app01-8107	80	45	solely	solely	ADV
app01-8107	80	46	on	on	ADP
app01-8107	80	47	λ	λ	PROPN
app01-8107	81	1	[	[	X
app01-8107	81	2	8	8	NUM
app01-8107	81	3	]	]	PUNCT
app01-8107	81	4	.	.	PUNCT
app01-8107	82	1	3	3	X
app01-8107	82	2	.	.	X
app01-8107	82	3	enhancements	enhancement	NOUN
app01-8107	82	4	for	for	ADP
app01-8107	82	5	heterogeneous	heterogeneous	ADJ
app01-8107	82	6	domains	domain	NOUN
app01-8107	82	7	3.1	3.1	NUM
app01-8107	82	8	.	.	PUNCT
app01-8107	83	1	k	k	X
app01-8107	83	2	-	-	PUNCT
app01-8107	83	3	scaling	scale	VERB
app01-8107	83	4	the	the	DET
app01-8107	83	5	merit	merit	NOUN
app01-8107	83	6	of	of	ADP
app01-8107	83	7	both	both	DET
app01-8107	83	8	formulations	formulation	NOUN
app01-8107	83	9	described	describe	VERB
app01-8107	83	10	above	above	ADV
app01-8107	83	11	is	be	AUX
app01-8107	83	12	that	that	SCONJ
app01-8107	83	13	they	they	PRON
app01-8107	83	14	can	can	AUX
app01-8107	83	15	be	be	AUX
app01-8107	83	16	conveniently	conveniently	ADV
app01-8107	83	17	parallelized	parallelize	VERB
app01-8107	83	18	thanks	thank	NOUN
app01-8107	83	19	to	to	ADP
app01-8107	83	20	their	their	PRON
app01-8107	83	21	additive	additive	ADJ
app01-8107	83	22	structure	structure	NOUN
app01-8107	83	23	.	.	PUNCT
app01-8107	84	1	in	in	ADP
app01-8107	84	2	both	both	PRON
app01-8107	84	3	,	,	PUNCT
app01-8107	84	4	the	the	DET
app01-8107	84	5	solution	solution	NOUN
app01-8107	84	6	is	be	AUX
app01-8107	84	7	sought	seek	VERB
app01-8107	84	8	with	with	ADP
app01-8107	84	9	an	an	DET
app01-8107	84	10	iterative	iterative	ADJ
app01-8107	84	11	conjugate	conjugate	ADJ
app01-8107	84	12	gradient	gradient	NOUN
app01-8107	84	13	method	method	NOUN
app01-8107	84	14	considering	consider	VERB
app01-8107	84	15	only	only	ADV
app01-8107	84	16	the	the	DET
app01-8107	84	17	first	first	ADJ
app01-8107	84	18	block	block	NOUN
app01-8107	84	19	of	of	ADP
app01-8107	84	20	the	the	DET
app01-8107	84	21	corresponding	corresponding	ADJ
app01-8107	84	22	equations	equation	NOUN
app01-8107	84	23	(	(	PUNCT
app01-8107	84	24	7	7	NUM
app01-8107	84	25	)	)	PUNCT
app01-8107	84	26	and	and	CCONJ
app01-8107	84	27	(	(	PUNCT
app01-8107	84	28	12	12	NUM
app01-8107	84	29	)	)	PUNCT
app01-8107	84	30	,	,	PUNCT
app01-8107	84	31	while	while	SCONJ
app01-8107	84	32	the	the	DET
app01-8107	84	33	remaining	remain	VERB
app01-8107	84	34	blocks	block	NOUN
app01-8107	84	35	are	be	AUX
app01-8107	84	36	incorporated	incorporate	VERB
app01-8107	84	37	either	either	CCONJ
app01-8107	84	38	via	via	ADP
app01-8107	84	39	projection	projection	NOUN
app01-8107	84	40	(	(	PUNCT
app01-8107	84	41	t	t	PROPN
app01-8107	84	42	-	-	PUNCT
app01-8107	84	43	feti	feti	PROPN
app01-8107	84	44	)	)	PUNCT
app01-8107	84	45	or	or	CCONJ
app01-8107	84	46	by	by	ADP
app01-8107	84	47	condensating	condensate	VERB
app01-8107	84	48	out	out	ADP
app01-8107	84	49	the	the	DET
app01-8107	84	50	primal	primal	ADJ
app01-8107	84	51	unknowns	unknown	NOUN
app01-8107	84	52	(	(	PUNCT
app01-8107	84	53	feti	feti	PROPN
app01-8107	84	54	-	-	ADJ
app01-8107	84	55	dp	dp	NOUN
app01-8107	84	56	)	)	PUNCT
app01-8107	84	57	.	.	PUNCT
app01-8107	85	1	distinctively	distinctively	ADV
app01-8107	85	2	for	for	ADP
app01-8107	85	3	domain	domain	NOUN
app01-8107	85	4	decomposition	decomposition	NOUN
app01-8107	85	5	methods	method	NOUN
app01-8107	85	6	,	,	PUNCT
app01-8107	85	7	the	the	DET
app01-8107	85	8	iterative	iterative	NOUN
app01-8107	85	9	procedure	procedure	NOUN
app01-8107	85	10	also	also	ADV
app01-8107	85	11	benefits	benefit	VERB
app01-8107	85	12	from	from	ADP
app01-8107	85	13	a	a	DET
app01-8107	85	14	coarse	coarse	ADJ
app01-8107	85	15	problem	problem	NOUN
app01-8107	85	16	preconditioner	preconditioner	NOUN
app01-8107	85	17	f̄−1	f̄−1	NOUN
app01-8107	85	18	of	of	ADP
app01-8107	85	19	either	either	CCONJ
app01-8107	85	20	f	f	PROPN
app01-8107	85	21	,	,	PUNCT
app01-8107	85	22	recall	recall	VERB
app01-8107	85	23	eq	eq	ADP
app01-8107	85	24	.	.	PUNCT
app01-8107	86	1	(	(	PUNCT
app01-8107	86	2	7	7	NUM
app01-8107	86	3	)	)	PUNCT
app01-8107	86	4	,	,	PUNCT
app01-8107	86	5	or	or	CCONJ
app01-8107	86	6	frr	frr	NOUN
app01-8107	86	7	,	,	PUNCT
app01-8107	86	8	eq	eq	NOUN
app01-8107	86	9	.	.	PUNCT
app01-8107	87	1	(	(	PUNCT
app01-8107	87	2	12	12	NUM
app01-8107	87	3	)	)	PUNCT
app01-8107	87	4	,	,	PUNCT
app01-8107	87	5	constructed	construct	VERB
app01-8107	87	6	as	as	ADP
app01-8107	87	7	a	a	DET
app01-8107	87	8	sum	sum	NOUN
app01-8107	87	9	of	of	ADP
app01-8107	87	10	local	local	ADJ
app01-8107	87	11	inverses	inverse	NOUN
app01-8107	87	12	f̄−1	f̄−1	PUNCT
app01-8107	88	1	=	=	PUNCT
app01-8107	88	2	ns∑	ns∑	NOUN
app01-8107	89	1	s=1	s=1	INTJ
app01-8107	89	2	(	(	PUNCT
app01-8107	89	3	b̃s	b̃s	PROPN
app01-8107	89	4	[	[	PUNCT
app01-8107	89	5	0	0	NUM
app01-8107	89	6	0	0	NUM
app01-8107	89	7	0	0	NUM
app01-8107	90	1	s̃s	s̃s	PROPN
app01-8107	90	2	]	]	PUNCT
app01-8107	91	1	(	(	PUNCT
app01-8107	91	2	b̃s	b̃s	PROPN
app01-8107	91	3	)	)	PUNCT
app01-8107	91	4	t	t	PROPN
app01-8107	91	5	)	)	PUNCT
app01-8107	91	6	(	(	PUNCT
app01-8107	91	7	13	13	NUM
app01-8107	91	8	)	)	PUNCT
app01-8107	91	9	where	where	SCONJ
app01-8107	91	10	s̃s	s̃s	PROPN
app01-8107	91	11	either	either	CCONJ
app01-8107	91	12	•	•	CCONJ
app01-8107	91	13	represents	represent	VERB
app01-8107	91	14	the	the	DET
app01-8107	91	15	schur	schur	PROPN
app01-8107	91	16	complement	complement	PROPN
app01-8107	91	17	ss	ss	NOUN
app01-8107	92	1	=	=	PUNCT
app01-8107	92	2	ks	ks	NOUN
app01-8107	93	1	bb	bb	INTJ
app01-8107	93	2	−	−	PROPN
app01-8107	93	3	ks	ks	PROPN
app01-8107	93	4	biks	biks	PROPN
app01-8107	93	5	ii	ii	PROPN
app01-8107	94	1	−1ks	−1ks	NOUN
app01-8107	94	2	ib	ib	INTJ
app01-8107	94	3	if	if	SCONJ
app01-8107	94	4	the	the	DET
app01-8107	94	5	optimal	optimal	ADJ
app01-8107	94	6	dirichlet	dirichlet	NOUN
app01-8107	94	7	preconditioner	preconditioner	NOUN
app01-8107	94	8	is	be	AUX
app01-8107	94	9	used	use	VERB
app01-8107	94	10	,	,	PUNCT
app01-8107	94	11	or	or	CCONJ
app01-8107	94	12	•	•	NUM
app01-8107	94	13	s̃s	s̃s	NOUN
app01-8107	95	1	=	=	PUNCT
app01-8107	95	2	kbb	kbb	PROPN
app01-8107	95	3	or	or	CCONJ
app01-8107	95	4	s̃s	s̃s	PROPN
app01-8107	95	5	=	=	PUNCT
app01-8107	95	6	diag	diag	PROPN
app01-8107	95	7	kbb	kbb	PROPN
app01-8107	95	8	if	if	SCONJ
app01-8107	95	9	a	a	DET
app01-8107	95	10	computationally	computationally	ADV
app01-8107	95	11	cheaper	cheap	ADJ
app01-8107	95	12	approximations	approximation	NOUN
app01-8107	95	13	of	of	ADP
app01-8107	95	14	ss	ss	NOUN
app01-8107	95	15	is	be	AUX
app01-8107	95	16	used	use	VERB
app01-8107	95	17	,	,	PUNCT
app01-8107	95	18	denoted	denote	VERB
app01-8107	95	19	as	as	ADP
app01-8107	95	20	a	a	DET
app01-8107	95	21	lumped	lump	VERB
app01-8107	95	22	or	or	CCONJ
app01-8107	95	23	super	super	ADV
app01-8107	95	24	-	-	ADJ
app01-8107	95	25	lumped	lump	VERB
app01-8107	95	26	preconditioner	preconditioner	NOUN
app01-8107	95	27	,	,	PUNCT
app01-8107	95	28	respectively	respectively	ADV
app01-8107	95	29	,	,	PUNCT
app01-8107	95	30	where	where	SCONJ
app01-8107	95	31	diag	diag	NOUN
app01-8107	95	32	•	•	NUM
app01-8107	95	33	extracts	extract	NOUN
app01-8107	95	34	only	only	ADV
app01-8107	95	35	the	the	DET
app01-8107	95	36	diagonal	diagonal	ADJ
app01-8107	95	37	part	part	NOUN
app01-8107	95	38	of	of	ADP
app01-8107	95	39	•.	•.	NOUN
app01-8107	95	40	note	note	NOUN
app01-8107	95	41	that	that	SCONJ
app01-8107	95	42	in	in	ADP
app01-8107	95	43	feti	feti	NOUN
app01-8107	95	44	-	-	NOUN
app01-8107	95	45	dp	dp	VERB
app01-8107	95	46	the	the	DET
app01-8107	95	47	unknown	unknown	ADJ
app01-8107	95	48	index	index	NOUN
app01-8107	95	49	sets	set	VERB
app01-8107	95	50	i	i	PRON
app01-8107	95	51	and	and	CCONJ
app01-8107	95	52	b	b	NOUN
app01-8107	95	53	are	be	AUX
app01-8107	95	54	subsets	subset	NOUN
app01-8107	95	55	of	of	ADP
app01-8107	95	56	r	r	NOUN
app01-8107	95	57	only	only	ADV
app01-8107	95	58	,	,	PUNCT
app01-8107	95	59	since	since	SCONJ
app01-8107	95	60	the	the	DET
app01-8107	95	61	unknowns	unknown	NOUN
app01-8107	95	62	in	in	ADP
app01-8107	95	63	set	set	NOUN
app01-8107	95	64	c	c	PROPN
app01-8107	95	65	are	be	AUX
app01-8107	95	66	handled	handle	VERB
app01-8107	95	67	directly	directly	ADV
app01-8107	95	68	.	.	PUNCT
app01-8107	96	1	in	in	ADP
app01-8107	96	2	the	the	DET
app01-8107	96	3	simplest	simple	ADJ
app01-8107	96	4	setting	setting	NOUN
app01-8107	96	5	,	,	PUNCT
app01-8107	96	6	one	one	PRON
app01-8107	96	7	can	can	AUX
app01-8107	96	8	assume	assume	VERB
app01-8107	96	9	b̃s	b̃s	X
app01-8107	96	10	=	=	SYM
app01-8107	96	11	bs	b	NOUN
app01-8107	96	12	;	;	PUNCT
app01-8107	96	13	however	however	ADV
app01-8107	96	14	,	,	PUNCT
app01-8107	96	15	b̃s	b̃s	PROPN
app01-8107	96	16	can	can	AUX
app01-8107	96	17	be	be	AUX
app01-8107	96	18	arbitrarily	arbitrarily	ADV
app01-8107	96	19	scaled	scale	VERB
app01-8107	96	20	provided	provide	VERB
app01-8107	96	21	that	that	SCONJ
app01-8107	97	1	[	[	X
app01-8107	97	2	11	11	NUM
app01-8107	97	3	]	]	PUNCT
app01-8107	97	4	ns∑	ns∑	NOUN
app01-8107	97	5	s=1	s=1	X
app01-8107	97	6	(	(	PUNCT
app01-8107	97	7	bs(b̃s)t	bs(b̃s)t	NOUN
app01-8107	97	8	)	)	PUNCT
app01-8107	97	9	bj	bj	NOUN
app01-8107	97	10	=	=	PUNCT
app01-8107	97	11	bj	bj	NOUN
app01-8107	97	12	,	,	PUNCT
app01-8107	97	13	∀1	∀1	VERB
app01-8107	97	14	≤	≤	NUM
app01-8107	97	15	j	j	PROPN
app01-8107	97	16	≤	≤	NUM
app01-8107	97	17	ns	ns	NUM
app01-8107	97	18	.	.	PUNCT
app01-8107	98	1	(	(	PUNCT
app01-8107	98	2	14	14	NUM
app01-8107	98	3	)	)	PUNCT
app01-8107	98	4	based	base	VERB
app01-8107	98	5	on	on	ADP
app01-8107	98	6	a	a	DET
app01-8107	98	7	mechanical	mechanical	ADJ
app01-8107	98	8	reasoning	reasoning	NOUN
app01-8107	98	9	,	,	PUNCT
app01-8107	98	10	rixen	rixen	NOUN
app01-8107	98	11	and	and	CCONJ
app01-8107	98	12	farhat	farhat	PROPN
app01-8107	99	1	[	[	X
app01-8107	99	2	12	12	NUM
app01-8107	99	3	]	]	PUNCT
app01-8107	99	4	proposed	propose	VERB
app01-8107	99	5	k	k	NOUN
app01-8107	99	6	-	-	ADJ
app01-8107	99	7	scaling	scaling	ADJ
app01-8107	99	8	,	,	PUNCT
app01-8107	99	9	which	which	PRON
app01-8107	99	10	compensates	compensate	VERB
app01-8107	99	11	for	for	ADP
app01-8107	99	12	different	different	ADJ
app01-8107	99	13	stiffness	stiffness	ADJ
app01-8107	99	14	coefficients	coefficient	NOUN
app01-8107	99	15	across	across	ADP
app01-8107	99	16	subdomain	subdomain	NOUN
app01-8107	99	17	boundaries	boundary	NOUN
app01-8107	99	18	.	.	PUNCT
app01-8107	100	1	in	in	ADP
app01-8107	100	2	their	their	PRON
app01-8107	100	3	approach	approach	NOUN
app01-8107	100	4	,	,	PUNCT
app01-8107	100	5	b̃s	b̃s	PROPN
app01-8107	100	6	=	=	PUNCT
app01-8107	100	7	wsbs	wsbs	NOUN
app01-8107	100	8	with	with	ADP
app01-8107	100	9	the	the	DET
app01-8107	100	10	entries	entry	NOUN
app01-8107	100	11	of	of	ADP
app01-8107	100	12	the	the	DET
app01-8107	100	13	diagonal	diagonal	ADJ
app01-8107	100	14	matrix	matrix	NOUN
app01-8107	100	15	ws	ws	NOUN
app01-8107	100	16	obtained	obtain	VERB
app01-8107	100	17	as	as	ADP
app01-8107	100	18	w	w	PROPN
app01-8107	100	19	s	s	PROPN
app01-8107	100	20	ii	ii	NOUN
app01-8107	100	21	=	=	SYM
app01-8107	100	22	kr	kr	PROPN
app01-8107	100	23	ii	ii	PROPN
app01-8107	100	24	ks	ks	PROPN
app01-8107	100	25	ii	ii	PROPN
app01-8107	101	1	+	+	CCONJ
app01-8107	101	2	kr	kr	PROPN
app01-8107	101	3	ii	ii	PROPN
app01-8107	101	4	,	,	PUNCT
app01-8107	101	5	(	(	PUNCT
app01-8107	101	6	15	15	NUM
app01-8107	101	7	)	)	PUNCT
app01-8107	101	8	where	where	SCONJ
app01-8107	101	9	ks	ks	PROPN
app01-8107	101	10	ii	ii	PROPN
app01-8107	101	11	denotes	denote	VERB
app01-8107	101	12	the	the	DET
app01-8107	101	13	component	component	NOUN
app01-8107	101	14	of	of	ADP
app01-8107	101	15	the	the	DET
app01-8107	101	16	stiffness	stiffness	ADJ
app01-8107	101	17	matrix	matrix	NOUN
app01-8107	101	18	pertinent	pertinent	NOUN
app01-8107	101	19	to	to	ADP
app01-8107	101	20	the	the	DET
app01-8107	101	21	ith	ith	PROPN
app01-8107	101	22	row	row	NOUN
app01-8107	101	23	of	of	ADP
app01-8107	101	24	bs	bs	PROPN
app01-8107	101	25	and	and	CCONJ
app01-8107	101	26	,	,	PUNCT
app01-8107	101	27	similarly	similarly	ADV
app01-8107	101	28	,	,	PUNCT
app01-8107	101	29	kr	kr	PROPN
app01-8107	101	30	ii	ii	PROPN
app01-8107	101	31	is	be	AUX
app01-8107	101	32	the	the	DET
app01-8107	101	33	corresponding	corresponding	ADJ
app01-8107	101	34	coefficient	coefficient	NOUN
app01-8107	101	35	of	of	ADP
app01-8107	101	36	the	the	DET
app01-8107	101	37	stiffness	stiffness	ADJ
app01-8107	101	38	matrix	matrix	NOUN
app01-8107	101	39	of	of	ADP
app01-8107	101	40	the	the	DET
app01-8107	101	41	adjacent	adjacent	PROPN
app01-8107	101	42	ωr	ωr	NOUN
app01-8107	101	43	.	.	PUNCT
app01-8107	102	1	in	in	ADP
app01-8107	102	2	the	the	DET
app01-8107	102	3	case	case	NOUN
app01-8107	102	4	of	of	ADP
app01-8107	102	5	multi	multi	ADJ
app01-8107	102	6	-	-	ADJ
app01-8107	102	7	domain	domain	ADJ
app01-8107	102	8	constraints	constraint	NOUN
app01-8107	102	9	(	(	PUNCT
app01-8107	102	10	which	which	PRON
app01-8107	102	11	typically	typically	ADV
app01-8107	102	12	happen	happen	VERB
app01-8107	102	13	for	for	ADP
app01-8107	102	14	corner	corner	NOUN
app01-8107	102	15	nodes	node	NOUN
app01-8107	102	16	in	in	ADP
app01-8107	102	17	t	t	PROPN
app01-8107	102	18	-	-	PUNCT
app01-8107	102	19	feti	feti	PROPN
app01-8107	102	20	)	)	PUNCT
app01-8107	102	21	,	,	PUNCT
app01-8107	102	22	the	the	DET
app01-8107	102	23	authors	author	NOUN
app01-8107	102	24	of	of	ADP
app01-8107	102	25	[	[	X
app01-8107	102	26	12	12	NUM
app01-8107	102	27	]	]	PUNCT
app01-8107	102	28	advocate	advocate	NOUN
app01-8107	102	29	for	for	ADP
app01-8107	102	30	the	the	DET
app01-8107	102	31	use	use	NOUN
app01-8107	102	32	of	of	ADP
app01-8107	102	33	pair	pair	NOUN
app01-8107	102	34	-	-	PUNCT
app01-8107	102	35	wise	wise	ADJ
app01-8107	102	36	constraints	constraint	NOUN
app01-8107	102	37	despite	despite	SCONJ
app01-8107	102	38	the	the	DET
app01-8107	102	39	introduced	introduce	VERB
app01-8107	102	40	redundancies	redundancy	NOUN
app01-8107	102	41	.	.	PUNCT
app01-8107	103	1	consequently	consequently	ADV
app01-8107	103	2	,	,	PUNCT
app01-8107	103	3	only	only	ADV
app01-8107	103	4	the	the	DET
app01-8107	103	5	denominator	denominator	NOUN
app01-8107	103	6	in	in	ADP
app01-8107	103	7	eq	eq	PROPN
app01-8107	103	8	.	.	PUNCT
app01-8107	104	1	(	(	PUNCT
app01-8107	104	2	15	15	X
app01-8107	104	3	)	)	PUNCT
app01-8107	104	4	changes	change	NOUN
app01-8107	104	5	such	such	ADJ
app01-8107	104	6	that	that	SCONJ
app01-8107	104	7	it	it	PRON
app01-8107	104	8	sums	sum	VERB
app01-8107	104	9	the	the	DET
app01-8107	104	10	stiffness	stiffness	ADJ
app01-8107	104	11	contributions	contribution	NOUN
app01-8107	104	12	from	from	ADP
app01-8107	104	13	all	all	DET
app01-8107	104	14	related	relate	VERB
app01-8107	104	15	domains	domain	NOUN
app01-8107	104	16	;	;	PUNCT
app01-8107	104	17	see	see	VERB
app01-8107	104	18	[	[	X
app01-8107	104	19	12	12	NUM
app01-8107	104	20	,	,	PUNCT
app01-8107	104	21	eq	eq	NOUN
app01-8107	104	22	.	.	PROPN
app01-8107	104	23	68	68	NUM
app01-8107	104	24	]	]	PUNCT
app01-8107	104	25	.	.	PUNCT
app01-8107	105	1	also	also	ADV
app01-8107	105	2	note	note	VERB
app01-8107	105	3	that	that	SCONJ
app01-8107	105	4	eq	eq	ADP
app01-8107	105	5	.	.	PUNCT
app01-8107	106	1	(	(	PUNCT
app01-8107	106	2	15	15	NUM
app01-8107	106	3	)	)	PUNCT
app01-8107	106	4	naturally	naturally	ADV
app01-8107	106	5	falls	fall	VERB
app01-8107	106	6	back	back	ADV
app01-8107	106	7	to	to	ADP
app01-8107	106	8	multiplicity	multiplicity	NOUN
app01-8107	106	9	scaling	scale	VERB
app01-8107	106	10	in	in	ADP
app01-8107	106	11	the	the	DET
app01-8107	106	12	case	case	NOUN
app01-8107	106	13	of	of	ADP
app01-8107	106	14	domains	domain	NOUN
app01-8107	106	15	composed	compose	VERB
app01-8107	106	16	of	of	ADP
app01-8107	106	17	the	the	DET
app01-8107	106	18	same	same	ADJ
app01-8107	106	19	homogeneous	homogeneous	ADJ
app01-8107	106	20	material	material	NOUN
app01-8107	106	21	.	.	PUNCT
app01-8107	107	1	3.2	3.2	NUM
app01-8107	107	2	.	.	PUNCT
app01-8107	108	1	full	full	ADJ
app01-8107	108	2	orthogonalization	orthogonalization	NOUN
app01-8107	108	3	for	for	ADP
app01-8107	108	4	practical	practical	ADJ
app01-8107	108	5	applications	application	NOUN
app01-8107	108	6	,	,	PUNCT
app01-8107	108	7	f	f	X
app01-8107	108	8	-	-	PUNCT
app01-8107	108	9	orthogonalization	orthogonalization	NOUN
app01-8107	108	10	of	of	ADP
app01-8107	108	11	the	the	DET
app01-8107	108	12	current	current	ADJ
app01-8107	108	13	(	(	PUNCT
app01-8107	108	14	projected	project	VERB
app01-8107	108	15	)	)	PUNCT
app01-8107	108	16	preconditioned	precondition	VERB
app01-8107	108	17	search	search	NOUN
app01-8107	108	18	direction	direction	NOUN
app01-8107	108	19	45	45	NUM
app01-8107	108	20	t.	t.	PROPN
app01-8107	108	21	medřický	medřický	PROPN
app01-8107	108	22	,	,	PUNCT
app01-8107	108	23	m.	m.	NOUN
app01-8107	108	24	doškář	doškář	PROPN
app01-8107	108	25	,	,	PUNCT
app01-8107	108	26	i.	i.	PROPN
app01-8107	108	27	pultarová	pultarová	PROPN
app01-8107	108	28	,	,	PUNCT
app01-8107	108	29	j.	j.	PROPN
app01-8107	108	30	zeman	zeman	PROPN
app01-8107	108	31	acta	acta	PROPN
app01-8107	108	32	polytechnica	polytechnica	PROPN
app01-8107	108	33	ctu	ctu	PROPN
app01-8107	108	34	proceedings	proceeding	NOUN
app01-8107	108	35	w	w	VERB
app01-8107	108	36	,	,	PUNCT
app01-8107	108	37	which	which	PRON
app01-8107	108	38	appears	appear	VERB
app01-8107	108	39	in	in	ADP
app01-8107	108	40	the	the	DET
app01-8107	108	41	classical	classical	ADJ
app01-8107	108	42	preconditioned	precondition	VERB
app01-8107	108	43	conjugate	conjugate	ADJ
app01-8107	108	44	gradient	gradient	NOUN
app01-8107	108	45	method	method	NOUN
app01-8107	108	46	used	use	VERB
app01-8107	108	47	to	to	PART
app01-8107	108	48	solve	solve	VERB
app01-8107	108	49	problems	problem	NOUN
app01-8107	108	50	(	(	PUNCT
app01-8107	108	51	7	7	NUM
app01-8107	108	52	)	)	PUNCT
app01-8107	108	53	or	or	CCONJ
app01-8107	108	54	(	(	PUNCT
app01-8107	108	55	12	12	NUM
app01-8107	108	56	)	)	PUNCT
app01-8107	108	57	,	,	PUNCT
app01-8107	108	58	with	with	ADP
app01-8107	108	59	respect	respect	NOUN
app01-8107	108	60	to	to	ADP
app01-8107	108	61	the	the	DET
app01-8107	108	62	search	search	NOUN
app01-8107	108	63	directions	direction	NOUN
app01-8107	108	64	w	w	ADP
app01-8107	108	65	from	from	ADP
app01-8107	108	66	the	the	DET
app01-8107	108	67	previous	previous	ADJ
app01-8107	108	68	iterations	iteration	NOUN
app01-8107	108	69	is	be	AUX
app01-8107	108	70	often	often	ADV
app01-8107	108	71	recommended	recommend	VERB
app01-8107	108	72	,	,	PUNCT
app01-8107	109	1	e.g.	e.g.	ADV
app01-8107	109	2	[	[	X
app01-8107	109	3	11	11	NUM
app01-8107	109	4	]	]	PUNCT
app01-8107	109	5	.	.	PUNCT
app01-8107	110	1	consequently	consequently	ADV
app01-8107	110	2	,	,	PUNCT
app01-8107	110	3	this	this	DET
app01-8107	110	4	modification	modification	NOUN
app01-8107	110	5	necessitates	necessitate	VERB
app01-8107	110	6	storing	store	VERB
app01-8107	110	7	the	the	DET
app01-8107	110	8	previous	previous	ADJ
app01-8107	110	9	directions	direction	NOUN
app01-8107	110	10	and	and	CCONJ
app01-8107	110	11	their	their	PRON
app01-8107	110	12	f	f	NOUN
app01-8107	110	13	-	-	PUNCT
app01-8107	110	14	norms	norm	NOUN
app01-8107	110	15	.	.	PUNCT
app01-8107	111	1	however	however	ADV
app01-8107	111	2	,	,	PUNCT
app01-8107	111	3	the	the	DET
app01-8107	111	4	faster	fast	ADJ
app01-8107	111	5	convergence	convergence	NOUN
app01-8107	111	6	caused	cause	VERB
app01-8107	111	7	by	by	ADP
app01-8107	111	8	this	this	DET
app01-8107	111	9	modification	modification	NOUN
app01-8107	111	10	usually	usually	ADV
app01-8107	111	11	compensate	compensate	VERB
app01-8107	111	12	for	for	ADP
app01-8107	111	13	both	both	CCONJ
app01-8107	111	14	the	the	DET
app01-8107	111	15	increased	increase	VERB
app01-8107	111	16	memory	memory	NOUN
app01-8107	111	17	requirements	requirement	NOUN
app01-8107	111	18	and	and	CCONJ
app01-8107	111	19	the	the	DET
app01-8107	111	20	orthogonalization	orthogonalization	NOUN
app01-8107	111	21	-	-	PUNCT
app01-8107	111	22	related	relate	VERB
app01-8107	111	23	calculations	calculation	NOUN
app01-8107	111	24	.	.	PUNCT
app01-8107	112	1	3.3	3.3	NUM
app01-8107	112	2	.	.	PUNCT
app01-8107	112	3	rank	rank	NOUN
app01-8107	112	4	-	-	PUNCT
app01-8107	112	5	revealing	reveal	VERB
app01-8107	112	6	simultaneous	simultaneous	ADJ
app01-8107	112	7	feti	feti	NOUN
app01-8107	112	8	finally	finally	ADV
app01-8107	112	9	,	,	PUNCT
app01-8107	112	10	the	the	DET
app01-8107	112	11	last	last	ADJ
app01-8107	112	12	enhancement	enhancement	NOUN
app01-8107	112	13	investigated	investigate	VERB
app01-8107	112	14	in	in	ADP
app01-8107	112	15	this	this	DET
app01-8107	112	16	work	work	NOUN
app01-8107	112	17	,	,	PUNCT
app01-8107	112	18	is	be	AUX
app01-8107	112	19	the	the	DET
app01-8107	112	20	simultaneous	simultaneous	ADJ
app01-8107	112	21	variant	variant	NOUN
app01-8107	112	22	of	of	ADP
app01-8107	112	23	both	both	DET
app01-8107	112	24	t	t	PROPN
app01-8107	112	25	-	-	PUNCT
app01-8107	112	26	feti	feti	PROPN
app01-8107	112	27	and	and	CCONJ
app01-8107	112	28	fetidp	fetidp	NOUN
app01-8107	112	29	[	[	X
app01-8107	112	30	11	11	NUM
app01-8107	112	31	]	]	PUNCT
app01-8107	112	32	.	.	PUNCT
app01-8107	113	1	this	this	DET
app01-8107	113	2	modification	modification	NOUN
app01-8107	113	3	was	be	AUX
app01-8107	113	4	particularly	particularly	ADV
app01-8107	113	5	developed	develop	VERB
app01-8107	113	6	to	to	PART
app01-8107	113	7	handle	handle	VERB
app01-8107	113	8	heterogeneous	heterogeneous	ADJ
app01-8107	113	9	problems	problem	NOUN
app01-8107	113	10	by	by	ADP
app01-8107	113	11	exploiting	exploit	VERB
app01-8107	113	12	the	the	DET
app01-8107	113	13	additive	additive	ADJ
app01-8107	113	14	structure	structure	NOUN
app01-8107	113	15	of	of	ADP
app01-8107	113	16	the	the	DET
app01-8107	113	17	local	local	ADJ
app01-8107	113	18	preconditioners	preconditioner	NOUN
app01-8107	113	19	.	.	PUNCT
app01-8107	114	1	instead	instead	ADV
app01-8107	114	2	of	of	ADP
app01-8107	114	3	considering	consider	VERB
app01-8107	114	4	only	only	ADV
app01-8107	114	5	one	one	NUM
app01-8107	114	6	preconditioned	preconditioned	ADJ
app01-8107	114	7	search	search	NOUN
app01-8107	114	8	direction	direction	NOUN
app01-8107	114	9	w	w	NOUN
app01-8107	114	10	in	in	ADP
app01-8107	114	11	each	each	DET
app01-8107	114	12	iteration	iteration	NOUN
app01-8107	114	13	,	,	PUNCT
app01-8107	114	14	it	it	PRON
app01-8107	114	15	defines	define	VERB
app01-8107	114	16	an	an	DET
app01-8107	114	17	individual	individual	ADJ
app01-8107	114	18	search	search	NOUN
app01-8107	114	19	direction	direction	NOUN
app01-8107	114	20	for	for	ADP
app01-8107	114	21	each	each	DET
app01-8107	114	22	subdomain	subdomain	NOUN
app01-8107	114	23	.	.	PUNCT
app01-8107	115	1	note	note	VERB
app01-8107	115	2	that	that	SCONJ
app01-8107	115	3	the	the	DET
app01-8107	115	4	original	original	ADJ
app01-8107	115	5	search	search	NOUN
app01-8107	115	6	direction	direction	NOUN
app01-8107	115	7	can	can	AUX
app01-8107	115	8	be	be	AUX
app01-8107	115	9	restored	restore	VERB
app01-8107	115	10	with	with	ADP
app01-8107	115	11	w	w	NOUN
app01-8107	115	12	=	=	SYM
app01-8107	115	13	w	w	PROPN
app01-8107	115	14	1	1	NUM
app01-8107	115	15	,	,	PUNCT
app01-8107	115	16	where	where	SCONJ
app01-8107	115	17	1	1	X
app01-8107	115	18	=	=	SYM
app01-8107	115	19	[	[	PUNCT
app01-8107	115	20	1	1	NUM
app01-8107	115	21	,	,	PUNCT
app01-8107	115	22	1	1	NUM
app01-8107	115	23	,	,	PUNCT
app01-8107	115	24	.	.	PUNCT
app01-8107	115	25	.	.	PUNCT
app01-8107	116	1	.	.	PUNCT
app01-8107	117	1	1	1	NUM
app01-8107	117	2	]	]	SYM
app01-8107	117	3	t	t	X
app01-8107	117	4	∈	∈	PROPN
app01-8107	117	5	rns	rn	NOUN
app01-8107	117	6	and	and	CCONJ
app01-8107	117	7	w	w	NOUN
app01-8107	117	8	collecting	collect	VERB
app01-8107	117	9	these	these	DET
app01-8107	117	10	individual	individual	ADJ
app01-8107	117	11	directions	direction	NOUN
app01-8107	117	12	as	as	ADP
app01-8107	117	13	its	its	PRON
app01-8107	117	14	columns	column	NOUN
app01-8107	117	15	.	.	PUNCT
app01-8107	118	1	as	as	ADP
app01-8107	118	2	a	a	DET
app01-8107	118	3	result	result	NOUN
app01-8107	118	4	,	,	PUNCT
app01-8107	118	5	each	each	DET
app01-8107	118	6	iteration	iteration	NOUN
app01-8107	118	7	i	i	PRON
app01-8107	118	8	requires	require	VERB
app01-8107	118	9	solving	solve	VERB
app01-8107	118	10	a	a	DET
app01-8107	118	11	system	system	NOUN
app01-8107	118	12	of	of	ADP
app01-8107	118	13	ns	ns	NUM
app01-8107	118	14	×	×	NOUN
app01-8107	118	15	ns	ns	NUM
app01-8107	118	16	equations	equation	NOUN
app01-8107	118	17	related	relate	VERB
app01-8107	118	18	to	to	ADP
app01-8107	118	19	minimization	minimization	NOUN
app01-8107	118	20	and	and	CCONJ
app01-8107	118	21	conjugation	conjugation	NOUN
app01-8107	118	22	steps	step	NOUN
app01-8107	118	23	;	;	PUNCT
app01-8107	118	24	however	however	ADV
app01-8107	118	25	,	,	PUNCT
app01-8107	118	26	the	the	DET
app01-8107	118	27	matrix	matrix	NOUN
app01-8107	118	28	∆i	∆i	PROPN
app01-8107	118	29	as	as	SCONJ
app01-8107	118	30	defined	define	VERB
app01-8107	118	31	in	in	ADP
app01-8107	118	32	algorithm	algorithm	NOUN
app01-8107	118	33	1	1	NUM
app01-8107	118	34	may	may	AUX
app01-8107	118	35	be	be	AUX
app01-8107	118	36	ill	ill	ADV
app01-8107	118	37	-	-	PUNCT
app01-8107	118	38	conditioned	condition	VERB
app01-8107	118	39	,	,	PUNCT
app01-8107	118	40	e.g.	e.g.	ADV
app01-8107	118	41	due	due	ADP
app01-8107	118	42	to	to	ADP
app01-8107	118	43	a	a	DET
app01-8107	118	44	linear	linear	ADJ
app01-8107	118	45	dependence	dependence	NOUN
app01-8107	118	46	of	of	ADP
app01-8107	118	47	the	the	DET
app01-8107	118	48	search	search	NOUN
app01-8107	118	49	directions	direction	NOUN
app01-8107	118	50	,	,	PUNCT
app01-8107	118	51	and	and	CCONJ
app01-8107	118	52	its	its	PRON
app01-8107	118	53	pseudo	pseudo	NOUN
app01-8107	118	54	-	-	ADJ
app01-8107	118	55	inverse	inverse	NOUN
app01-8107	118	56	might	might	AUX
app01-8107	118	57	need	need	VERB
app01-8107	118	58	to	to	PART
app01-8107	118	59	be	be	AUX
app01-8107	118	60	constructed	construct	VERB
app01-8107	118	61	.	.	PUNCT
app01-8107	119	1	here	here	ADV
app01-8107	119	2	,	,	PUNCT
app01-8107	119	3	we	we	PRON
app01-8107	119	4	employ	employ	VERB
app01-8107	119	5	the	the	DET
app01-8107	119	6	rank	rank	NOUN
app01-8107	119	7	revealing	reveal	VERB
app01-8107	119	8	cholesky	cholesky	ADJ
app01-8107	119	9	factorization	factorization	NOUN
app01-8107	119	10	[	[	X
app01-8107	119	11	13	13	NUM
app01-8107	119	12	]	]	PUNCT
app01-8107	119	13	with	with	ADP
app01-8107	119	14	permutation	permutation	NOUN
app01-8107	119	15	matrix	matrix	NOUN
app01-8107	119	16	n	n	AUX
app01-8107	119	17	to	to	PART
app01-8107	119	18	extract	extract	VERB
app01-8107	119	19	only	only	ADV
app01-8107	119	20	the	the	DET
app01-8107	119	21	linearly	linearly	ADV
app01-8107	119	22	independent	independent	ADJ
app01-8107	119	23	search	search	NOUN
app01-8107	119	24	directions	direction	NOUN
app01-8107	119	25	,	,	PUNCT
app01-8107	119	26	which	which	PRON
app01-8107	119	27	are	be	AUX
app01-8107	119	28	subsequently	subsequently	ADV
app01-8107	119	29	f	f	X
app01-8107	119	30	-	-	PUNCT
app01-8107	119	31	orthonormalized	orthonormalize	VERB
app01-8107	119	32	;	;	PUNCT
app01-8107	119	33	see	see	VERB
app01-8107	119	34	lines	line	NOUN
app01-8107	119	35	9–12	9–12	PROPN
app01-8107	119	36	in	in	ADP
app01-8107	119	37	algorithm	algorithm	NOUN
app01-8107	119	38	1	1	NUM
app01-8107	119	39	,	,	PUNCT
app01-8107	119	40	which	which	PRON
app01-8107	119	41	summarizes	summarize	VERB
app01-8107	119	42	the	the	DET
app01-8107	119	43	strategy	strategy	NOUN
app01-8107	119	44	for	for	ADP
app01-8107	119	45	t	t	PROPN
app01-8107	119	46	-	-	PUNCT
app01-8107	119	47	feti	feti	PROPN
app01-8107	119	48	.	.	PUNCT
app01-8107	120	1	with	with	ADP
app01-8107	120	2	this	this	DET
app01-8107	120	3	modification	modification	NOUN
app01-8107	120	4	,	,	PUNCT
app01-8107	120	5	we	we	PRON
app01-8107	120	6	also	also	ADV
app01-8107	120	7	automatically	automatically	ADV
app01-8107	120	8	employ	employ	VERB
app01-8107	120	9	the	the	DET
app01-8107	120	10	full	full	ADJ
app01-8107	120	11	orthogonalization	orthogonalization	NOUN
app01-8107	120	12	described	describe	VERB
app01-8107	120	13	in	in	ADP
app01-8107	120	14	the	the	DET
app01-8107	120	15	previous	previous	ADJ
app01-8107	120	16	subsection	subsection	NOUN
app01-8107	120	17	;	;	PUNCT
app01-8107	120	18	lines	line	NOUN
app01-8107	120	19	18–21	18–21	NUM
app01-8107	120	20	in	in	ADP
app01-8107	120	21	algorithm	algorithm	NOUN
app01-8107	120	22	1	1	NUM
app01-8107	120	23	.	.	PUNCT
app01-8107	121	1	note	note	VERB
app01-8107	121	2	that	that	SCONJ
app01-8107	121	3	in	in	ADP
app01-8107	121	4	algorithm	algorithm	NOUN
app01-8107	121	5	1	1	NUM
app01-8107	121	6	,	,	PUNCT
app01-8107	121	7	p	p	NOUN
app01-8107	121	8	is	be	AUX
app01-8107	121	9	the	the	DET
app01-8107	121	10	projection	projection	NOUN
app01-8107	121	11	matrix	matrix	NOUN
app01-8107	121	12	p	p	NOUN
app01-8107	122	1	=	=	X
app01-8107	122	2	i	i	PRON
app01-8107	122	3	−	−	PROPN
app01-8107	122	4	gt	gt	INTJ
app01-8107	122	5	(	(	PUNCT
app01-8107	122	6	ggt)−1	ggt)−1	NOUN
app01-8107	122	7	g	g	NOUN
app01-8107	122	8	enforcing	enforce	VERB
app01-8107	122	9	the	the	DET
app01-8107	122	10	increments	increment	NOUN
app01-8107	122	11	of	of	ADP
app01-8107	122	12	λ	λ	PROPN
app01-8107	122	13	to	to	PART
app01-8107	122	14	satisfy	satisfy	VERB
app01-8107	122	15	g	g	PROPN
app01-8107	122	16	λ	λ	PROPN
app01-8107	122	17	=	=	PROPN
app01-8107	122	18	e.	e.	PROPN
app01-8107	122	19	4	4	PROPN
app01-8107	122	20	.	.	PUNCT
app01-8107	122	21	numerical	numerical	ADJ
app01-8107	122	22	tests	test	NOUN
app01-8107	122	23	4.1	4.1	NUM
app01-8107	122	24	.	.	PUNCT
app01-8107	123	1	academic	academic	ADJ
app01-8107	123	2	problems	problem	NOUN
app01-8107	123	3	we	we	PRON
app01-8107	123	4	test	test	VERB
app01-8107	123	5	both	both	DET
app01-8107	123	6	approaches	approach	NOUN
app01-8107	123	7	on	on	ADP
app01-8107	123	8	two	two	NUM
app01-8107	123	9	sets	set	NOUN
app01-8107	123	10	of	of	ADP
app01-8107	123	11	illustrative	illustrative	ADJ
app01-8107	123	12	examples	example	NOUN
app01-8107	123	13	.	.	PUNCT
app01-8107	124	1	the	the	DET
app01-8107	124	2	first	first	ADJ
app01-8107	124	3	suite	suite	NOUN
app01-8107	124	4	comprises	comprise	VERB
app01-8107	124	5	three	three	NUM
app01-8107	124	6	test	test	NOUN
app01-8107	124	7	problems	problem	NOUN
app01-8107	124	8	studied	study	VERB
app01-8107	124	9	,	,	PUNCT
app01-8107	124	10	e.g.	e.g.	ADV
app01-8107	124	11	,	,	PUNCT
app01-8107	124	12	in	in	ADP
app01-8107	124	13	[	[	PUNCT
app01-8107	124	14	11	11	NUM
app01-8107	124	15	]	]	PUNCT
app01-8107	124	16	and	and	CCONJ
app01-8107	124	17	shown	show	VERB
app01-8107	124	18	in	in	ADP
app01-8107	124	19	fig	fig	NOUN
app01-8107	124	20	.	.	PUNCT
app01-8107	125	1	1	1	X
app01-8107	125	2	.	.	X
app01-8107	126	1	unlike	unlike	ADP
app01-8107	126	2	fig	fig	NOUN
app01-8107	126	3	.	.	PUNCT
app01-8107	127	1	1	1	NUM
app01-8107	127	2	,	,	PUNCT
app01-8107	127	3	however	however	ADV
app01-8107	127	4	,	,	PUNCT
app01-8107	127	5	we	we	PRON
app01-8107	127	6	keep	keep	VERB
app01-8107	127	7	the	the	DET
app01-8107	127	8	regular	regular	ADJ
app01-8107	127	9	partitioning	partitioning	NOUN
app01-8107	127	10	and	and	CCONJ
app01-8107	127	11	do	do	AUX
app01-8107	127	12	not	not	PART
app01-8107	127	13	investigate	investigate	VERB
app01-8107	127	14	the	the	DET
app01-8107	127	15	effect	effect	NOUN
app01-8107	127	16	of	of	ADP
app01-8107	127	17	irregularity	irregularity	NOUN
app01-8107	127	18	and	and	CCONJ
app01-8107	127	19	bad	bad	ADJ
app01-8107	127	20	aspect	aspect	NOUN
app01-8107	127	21	ratios	ratio	NOUN
app01-8107	127	22	of	of	ADP
app01-8107	127	23	the	the	DET
app01-8107	127	24	decomposition	decomposition	NOUN
app01-8107	127	25	.	.	PUNCT
app01-8107	128	1	we	we	PRON
app01-8107	128	2	included	include	VERB
app01-8107	128	3	these	these	DET
app01-8107	128	4	problems	problem	NOUN
app01-8107	128	5	primarily	primarily	ADV
app01-8107	128	6	to	to	PART
app01-8107	128	7	verify	verify	VERB
app01-8107	128	8	our	our	PRON
app01-8107	128	9	implementation	implementation	NOUN
app01-8107	128	10	against	against	ADP
app01-8107	128	11	the	the	DET
app01-8107	128	12	convergence	convergence	NOUN
app01-8107	128	13	reported	report	VERB
app01-8107	128	14	in	in	ADP
app01-8107	128	15	[	[	X
app01-8107	128	16	11	11	NUM
app01-8107	128	17	]	]	PUNCT
app01-8107	128	18	and	and	CCONJ
app01-8107	128	19	also	also	ADV
app01-8107	128	20	to	to	PART
app01-8107	128	21	compare	compare	VERB
app01-8107	128	22	the	the	DET
app01-8107	128	23	performance	performance	NOUN
app01-8107	128	24	of	of	ADP
app01-8107	128	25	all	all	DET
app01-8107	128	26	considered	consider	VERB
app01-8107	128	27	variants	variant	NOUN
app01-8107	128	28	in	in	ADP
app01-8107	128	29	these	these	DET
app01-8107	128	30	academic	academic	ADJ
app01-8107	128	31	problems	problem	NOUN
app01-8107	128	32	against	against	ADP
app01-8107	128	33	the	the	DET
app01-8107	128	34	problems	problem	NOUN
app01-8107	128	35	arising	arise	VERB
app01-8107	128	36	in	in	ADP
app01-8107	128	37	topology	topology	NOUN
app01-8107	128	38	optimization	optimization	NOUN
app01-8107	128	39	.	.	PUNCT
app01-8107	129	1	the	the	DET
app01-8107	129	2	first	first	ADJ
app01-8107	129	3	test	test	NOUN
app01-8107	129	4	is	be	AUX
app01-8107	129	5	a	a	DET
app01-8107	129	6	laminated	laminated	ADJ
app01-8107	129	7	beam	beam	NOUN
app01-8107	129	8	consisting	consist	VERB
app01-8107	129	9	of	of	ADP
app01-8107	129	10	nine	nine	NUM
app01-8107	129	11	repeating	repeat	VERB
app01-8107	129	12	square	square	ADJ
app01-8107	129	13	subdomains	subdomain	NOUN
app01-8107	129	14	,	,	PUNCT
app01-8107	129	15	each	each	PRON
app01-8107	129	16	composed	compose	VERB
app01-8107	129	17	of	of	ADP
app01-8107	129	18	seven	seven	NUM
app01-8107	129	19	alternating	alternate	VERB
app01-8107	129	20	layers	layer	NOUN
app01-8107	129	21	of	of	ADP
app01-8107	129	22	stiff	stiff	ADJ
app01-8107	129	23	(	(	PUNCT
app01-8107	129	24	blue	blue	ADJ
app01-8107	129	25	)	)	PUNCT
app01-8107	129	26	and	and	CCONJ
app01-8107	129	27	compliant	compliant	ADJ
app01-8107	129	28	algorithm	algorithm	NOUN
app01-8107	129	29	1	1	NUM
app01-8107	129	30	:	:	PUNCT
app01-8107	129	31	rank	rank	NOUN
app01-8107	129	32	-	-	PUNCT
app01-8107	129	33	revealing	reveal	VERB
app01-8107	129	34	simultaneous	simultaneous	ADJ
app01-8107	129	35	feti	feti	NOUN
app01-8107	129	36	[	[	X
app01-8107	129	37	11	11	NUM
app01-8107	129	38	]	]	SYM
app01-8107	129	39	1	1	NUM
app01-8107	129	40	r0	r0	NOUN
app01-8107	129	41	=	=	SYM
app01-8107	129	42	pt(d−	pt(d−	NOUN
app01-8107	129	43	fλ0	fλ0	NOUN
app01-8107	129	44	)	)	PUNCT
app01-8107	129	45	2	2	NUM
app01-8107	129	46	z0	z0	NOUN
app01-8107	129	47	=	=	PRON
app01-8107	129	48	[	[	PUNCT
app01-8107	129	49	.	.	PUNCT
app01-8107	129	50	.	.	PUNCT
app01-8107	129	51	.	.	PUNCT
app01-8107	130	1	,	,	PUNCT
app01-8107	130	2	b̃s	b̃s	PROPN
app01-8107	130	3	s̃s(b̃s)tr0	s̃s(b̃s)tr0	PROPN
app01-8107	130	4	,	,	PUNCT
app01-8107	130	5	.	.	PUNCT
app01-8107	130	6	.	.	PUNCT
app01-8107	130	7	.	.	PUNCT
app01-8107	131	1	]	]	PUNCT
app01-8107	131	2	,	,	PUNCT
app01-8107	131	3	∀s	∀s	PROPN
app01-8107	131	4	∈	∈	PROPN
app01-8107	131	5	{	{	PUNCT
app01-8107	131	6	1	1	NUM
app01-8107	131	7	,	,	PUNCT
app01-8107	131	8	.	.	PUNCT
app01-8107	131	9	.	.	PUNCT
app01-8107	131	10	.	.	PUNCT
app01-8107	132	1	,	,	PUNCT
app01-8107	132	2	ns	ns	ADJ
app01-8107	132	3	}	}	SYM
app01-8107	132	4	3	3	NUM
app01-8107	132	5	w0	w0	NOUN
app01-8107	132	6	=	=	PUNCT
app01-8107	132	7	p	p	PROPN
app01-8107	132	8	z0	z0	PROPN
app01-8107	132	9	4	4	NUM
app01-8107	132	10	λ̃0	λ̃0	NOUN
app01-8107	132	11	=	=	NOUN
app01-8107	132	12	0	0	NUM
app01-8107	132	13	5	5	NUM
app01-8107	132	14	i←	i←	NOUN
app01-8107	132	15	0	0	NUM
app01-8107	132	16	6	6	NUM
app01-8107	132	17	while	while	SCONJ
app01-8107	132	18	√	√	PROPN
app01-8107	132	19	rt	rt	PROPN
app01-8107	133	1	i	i	PRON
app01-8107	133	2	zi	zi	PROPN
app01-8107	133	3	1	1	NUM
app01-8107	133	4	>	>	X
app01-8107	133	5	ϵ	ϵ	X
app01-8107	133	6	do	do	AUX
app01-8107	133	7	7	7	NUM
app01-8107	133	8	qi	qi	NOUN
app01-8107	133	9	=	=	SYM
app01-8107	133	10	f	f	PROPN
app01-8107	133	11	wi	wi	PROPN
app01-8107	133	12	8	8	NUM
app01-8107	133	13	∆i	∆i	PROPN
app01-8107	133	14	=	=	PUNCT
app01-8107	134	1	qt	qt	NOUN
app01-8107	134	2	i	i	PRON
app01-8107	134	3	wi	wi	PROPN
app01-8107	134	4	9	9	NUM
app01-8107	134	5	factorize	factorize	VERB
app01-8107	134	6	n	n	X
app01-8107	134	7	∆i	∆i	PROPN
app01-8107	134	8	nt	not	PART
app01-8107	134	9	=	=	PROPN
app01-8107	134	10	l	l	NOUN
app01-8107	134	11	lt	lt	PRON
app01-8107	134	12	s.t	s.t	PROPN
app01-8107	134	13	.	.	PUNCT
app01-8107	134	14	l	l	X
app01-8107	135	1	=	=	PUNCT
app01-8107	135	2	[	[	PUNCT
app01-8107	135	3	l̃	l̃	PROPN
app01-8107	135	4	0	0	NUM
app01-8107	135	5	×	×	NOUN
app01-8107	135	6	0	0	NUM
app01-8107	135	7	]	]	SYM
app01-8107	135	8	10	10	NUM
app01-8107	136	1	wi	wi	PROPN
app01-8107	136	2	←wi	←wi	PROPN
app01-8107	136	3	nt	not	PART
app01-8107	136	4	[	[	PUNCT
app01-8107	136	5	l̃−t	l̃−t	NOUN
app01-8107	136	6	0	0	PUNCT
app01-8107	136	7	]	]	SYM
app01-8107	136	8	11	11	NUM
app01-8107	136	9	qi	qi	PROPN
app01-8107	136	10	←	←	PROPN
app01-8107	136	11	qi	qi	PROPN
app01-8107	136	12	nt	not	PART
app01-8107	136	13	[	[	PUNCT
app01-8107	136	14	l̃−t	l̃−t	NOUN
app01-8107	136	15	0	0	PUNCT
app01-8107	136	16	]	]	SYM
app01-8107	136	17	12	12	NUM
app01-8107	136	18	∆i	∆i	PROPN
app01-8107	136	19	←	←	PROPN
app01-8107	136	20	i	i	PRON
app01-8107	136	21	13	13	NUM
app01-8107	136	22	γi	γi	NOUN
app01-8107	136	23	=	=	PUNCT
app01-8107	137	1	wt	wt	INTJ
app01-8107	137	2	i	i	PRON
app01-8107	137	3	ri	ri	PROPN
app01-8107	138	1	14	14	NUM
app01-8107	138	2	λ̃i+1	λ̃i+1	NOUN
app01-8107	139	1	=	=	PUNCT
app01-8107	140	1	λ̃i	λ̃i	PROPN
app01-8107	141	1	+	+	CCONJ
app01-8107	142	1	wi	wi	PROPN
app01-8107	142	2	γi	γi	PROPN
app01-8107	142	3	15	15	NUM
app01-8107	142	4	ri+1	ri+1	NOUN
app01-8107	142	5	=	=	SYM
app01-8107	142	6	ri	ri	PROPN
app01-8107	142	7	−	−	PROPN
app01-8107	142	8	pt	pt	PROPN
app01-8107	142	9	qi	qi	PROPN
app01-8107	142	10	γi	γi	ADP
app01-8107	142	11	16	16	NUM
app01-8107	142	12	zi+1	zi+1	NUM
app01-8107	142	13	=	=	SYM
app01-8107	142	14	[	[	PUNCT
app01-8107	142	15	.	.	PUNCT
app01-8107	142	16	.	.	PUNCT
app01-8107	143	1	.	.	PUNCT
app01-8107	144	1	,	,	PUNCT
app01-8107	144	2	b̃s	b̃s	PROPN
app01-8107	144	3	s̃s(b̃s)tri+1	s̃s(b̃s)tri+1	PROPN
app01-8107	144	4	,	,	PUNCT
app01-8107	144	5	.	.	PUNCT
app01-8107	144	6	.	.	PUNCT
app01-8107	144	7	.	.	PUNCT
app01-8107	145	1	]	]	PUNCT
app01-8107	146	1	17	17	NUM
app01-8107	146	2	wi+1	wi+1	NOUN
app01-8107	146	3	=	=	PUNCT
app01-8107	146	4	p	p	X
app01-8107	146	5	zi+1	zi+1	NUM
app01-8107	146	6	18	18	NUM
app01-8107	146	7	for	for	ADP
app01-8107	146	8	0	0	NUM
app01-8107	146	9	≤	≤	NUM
app01-8107	146	10	j	j	PROPN
app01-8107	146	11	≤	≤	ADV
app01-8107	147	1	i	i	PRON
app01-8107	147	2	do	do	VERB
app01-8107	147	3	19	19	NUM
app01-8107	147	4	ψj	ψj	ADV
app01-8107	147	5	=	=	SYM
app01-8107	147	6	qt	qt	PROPN
app01-8107	147	7	j	j	PROPN
app01-8107	147	8	wi+1	wi+1	PRON
app01-8107	147	9	20	20	NUM
app01-8107	147	10	wi+1	wi+1	NOUN
app01-8107	147	11	←wi+1	←wi+1	ADP
app01-8107	147	12	−wj	−wj	NOUN
app01-8107	147	13	ψj	ψj	ADV
app01-8107	147	14	21	21	NUM
app01-8107	147	15	i←	i←	NOUN
app01-8107	148	1	i	i	PRON
app01-8107	148	2	+	+	NOUN
app01-8107	148	3	1	1	X
app01-8107	148	4	(	(	PUNCT
app01-8107	148	5	green	green	ADJ
app01-8107	148	6	)	)	PUNCT
app01-8107	148	7	material	material	NOUN
app01-8107	148	8	.	.	PUNCT
app01-8107	149	1	the	the	DET
app01-8107	149	2	second	second	ADJ
app01-8107	149	3	test	test	NOUN
app01-8107	149	4	problem	problem	NOUN
app01-8107	149	5	is	be	AUX
app01-8107	149	6	a	a	DET
app01-8107	149	7	square	square	ADJ
app01-8107	149	8	grid	grid	NOUN
app01-8107	149	9	of	of	ADP
app01-8107	149	10	3	3	NUM
app01-8107	149	11	×	×	NOUN
app01-8107	149	12	3	3	NUM
app01-8107	149	13	subdomains	subdomain	NOUN
app01-8107	149	14	,	,	PUNCT
app01-8107	149	15	again	again	ADV
app01-8107	149	16	,	,	PUNCT
app01-8107	149	17	with	with	ADP
app01-8107	149	18	alternating	alternate	VERB
app01-8107	149	19	layers	layer	NOUN
app01-8107	149	20	.	.	PUNCT
app01-8107	150	1	this	this	DET
app01-8107	150	2	problem	problem	NOUN
app01-8107	150	3	features	feature	VERB
app01-8107	150	4	the	the	DET
app01-8107	150	5	corner	corner	NOUN
app01-8107	150	6	cross	cross	NOUN
app01-8107	150	7	-	-	NOUN
app01-8107	150	8	point	point	NOUN
app01-8107	150	9	and	and	CCONJ
app01-8107	150	10	hence	hence	ADV
app01-8107	150	11	different	different	ADJ
app01-8107	150	12	variants	variant	NOUN
app01-8107	150	13	of	of	ADP
app01-8107	150	14	enforcing	enforce	VERB
app01-8107	150	15	the	the	DET
app01-8107	150	16	continuity	continuity	NOUN
app01-8107	150	17	of	of	ADP
app01-8107	150	18	solution	solution	NOUN
app01-8107	150	19	is	be	AUX
app01-8107	150	20	expect	expect	VERB
app01-8107	150	21	to	to	PART
app01-8107	150	22	deliver	deliver	VERB
app01-8107	150	23	different	different	ADJ
app01-8107	150	24	performance	performance	NOUN
app01-8107	150	25	results	result	NOUN
app01-8107	150	26	.	.	PUNCT
app01-8107	151	1	finally	finally	ADV
app01-8107	151	2	,	,	PUNCT
app01-8107	151	3	the	the	DET
app01-8107	151	4	last	last	ADJ
app01-8107	151	5	test	test	NOUN
app01-8107	151	6	problem	problem	NOUN
app01-8107	151	7	is	be	AUX
app01-8107	151	8	a	a	DET
app01-8107	151	9	4×	4×	NOUN
app01-8107	151	10	4	4	NUM
app01-8107	151	11	grid	grid	NOUN
app01-8107	151	12	of	of	ADP
app01-8107	151	13	subdomains	subdomain	NOUN
app01-8107	151	14	with	with	ADP
app01-8107	151	15	a	a	DET
app01-8107	151	16	stiff	stiff	ADJ
app01-8107	151	17	inclusion	inclusion	NOUN
app01-8107	151	18	immersed	immerse	VERB
app01-8107	151	19	in	in	ADP
app01-8107	151	20	each	each	DET
app01-8107	151	21	subdomain	subdomain	NOUN
app01-8107	151	22	.	.	PUNCT
app01-8107	152	1	unlike	unlike	ADP
app01-8107	152	2	the	the	DET
app01-8107	152	3	previous	previous	ADJ
app01-8107	152	4	two	two	NUM
app01-8107	152	5	problem	problem	NOUN
app01-8107	152	6	,	,	PUNCT
app01-8107	152	7	there	there	PRON
app01-8107	152	8	are	be	VERB
app01-8107	152	9	no	no	DET
app01-8107	152	10	jumps	jump	NOUN
app01-8107	152	11	in	in	ADP
app01-8107	152	12	stiffness	stiffness	ADJ
app01-8107	152	13	coefficients	coefficient	NOUN
app01-8107	152	14	and	and	CCONJ
app01-8107	152	15	hence	hence	ADV
app01-8107	152	16	the	the	DET
app01-8107	152	17	convergence	convergence	NOUN
app01-8107	152	18	should	should	AUX
app01-8107	152	19	be	be	AUX
app01-8107	152	20	the	the	DET
app01-8107	152	21	fastest	fast	ADJ
app01-8107	152	22	.	.	PUNCT
app01-8107	153	1	all	all	DET
app01-8107	153	2	structures	structure	NOUN
app01-8107	153	3	were	be	AUX
app01-8107	153	4	clamped	clamp	VERB
app01-8107	153	5	on	on	ADP
app01-8107	153	6	the	the	DET
app01-8107	153	7	left	left	ADJ
app01-8107	153	8	-	-	PUNCT
app01-8107	153	9	hand	hand	NOUN
app01-8107	153	10	side	side	NOUN
app01-8107	153	11	and	and	CCONJ
app01-8107	153	12	subjected	subject	VERB
app01-8107	153	13	to	to	ADP
app01-8107	153	14	tangential	tangential	ADJ
app01-8107	153	15	and	and	CCONJ
app01-8107	153	16	tensile	tensile	VERB
app01-8107	153	17	normal	normal	ADJ
app01-8107	153	18	traction	traction	NOUN
app01-8107	153	19	on	on	ADP
app01-8107	153	20	their	their	PRON
app01-8107	153	21	righthand	righthand	NOUN
app01-8107	153	22	sides	side	NOUN
app01-8107	153	23	.	.	PUNCT
app01-8107	154	1	the	the	DET
app01-8107	154	2	two	two	NUM
app01-8107	154	3	solution	solution	NOUN
app01-8107	154	4	strategies	strategy	NOUN
app01-8107	154	5	(	(	PUNCT
app01-8107	154	6	t	t	PROPN
app01-8107	154	7	-	-	PUNCT
app01-8107	154	8	feti	feti	PROPN
app01-8107	154	9	vs.	vs.	ADP
app01-8107	154	10	feti	feti	PROPN
app01-8107	154	11	-	-	PROPN
app01-8107	154	12	dp	dp	NOUN
app01-8107	154	13	)	)	PUNCT
app01-8107	154	14	in	in	ADP
app01-8107	154	15	combination	combination	NOUN
app01-8107	154	16	with	with	ADP
app01-8107	154	17	the	the	DET
app01-8107	154	18	scaling	scale	VERB
app01-8107	154	19	options	option	NOUN
app01-8107	154	20	(	(	PUNCT
app01-8107	154	21	stiffness	stiffness	NOUN
app01-8107	154	22	vs.	vs.	ADP
app01-8107	154	23	multiplicity	multiplicity	NOUN
app01-8107	154	24	)	)	PUNCT
app01-8107	154	25	and	and	CCONJ
app01-8107	154	26	the	the	DET
app01-8107	154	27	option	option	NOUN
app01-8107	154	28	for	for	ADP
app01-8107	154	29	full	full	ADJ
app01-8107	154	30	orthogonalization	orthogonalization	NOUN
app01-8107	154	31	or	or	CCONJ
app01-8107	154	32	simultaneous	simultaneous	ADJ
app01-8107	154	33	search	search	NOUN
app01-8107	154	34	directions	direction	NOUN
app01-8107	154	35	yield	yield	VERB
app01-8107	154	36	12	12	NUM
app01-8107	154	37	variants	variant	NOUN
app01-8107	154	38	in	in	ADP
app01-8107	154	39	total	total	NOUN
app01-8107	154	40	.	.	PUNCT
app01-8107	155	1	figure	figure	NOUN
app01-8107	155	2	2	2	NUM
app01-8107	155	3	plots	plot	NOUN
app01-8107	155	4	the	the	DET
app01-8107	155	5	history	history	NOUN
app01-8107	155	6	of	of	ADP
app01-8107	155	7	the	the	DET
app01-8107	155	8	residual	residual	ADJ
app01-8107	155	9	error	error	NOUN
app01-8107	155	10	defined	define	VERB
app01-8107	155	11	as	as	ADP
app01-8107	155	12	εr	εr	NOUN
app01-8107	155	13	=	=	PUNCT
app01-8107	156	1	√	√	PROPN
app01-8107	156	2	rt	rt	PROPN
app01-8107	157	1	i	i	PRON
app01-8107	157	2	zi	zi	PROPN
app01-8107	157	3	,	,	PUNCT
app01-8107	157	4	(	(	PUNCT
app01-8107	157	5	16	16	NUM
app01-8107	157	6	)	)	PUNCT
app01-8107	157	7	where	where	SCONJ
app01-8107	157	8	the	the	DET
app01-8107	157	9	ri	ri	PROPN
app01-8107	157	10	and	and	CCONJ
app01-8107	157	11	zi	zi	PROPN
app01-8107	157	12	are	be	AUX
app01-8107	157	13	the	the	DET
app01-8107	157	14	projected	project	VERB
app01-8107	157	15	residual	residual	ADJ
app01-8107	157	16	and	and	CCONJ
app01-8107	157	17	its	its	PRON
app01-8107	157	18	preconditioned	preconditioned	ADJ
app01-8107	157	19	counterpart	counterpart	NOUN
app01-8107	157	20	from	from	ADP
app01-8107	157	21	algorithm	algorithm	NOUN
app01-8107	157	22	1	1	NUM
app01-8107	157	23	,	,	PUNCT
app01-8107	157	24	respectively	respectively	ADV
app01-8107	157	25	.	.	PUNCT
app01-8107	158	1	in	in	ADP
app01-8107	158	2	accordance	accordance	NOUN
app01-8107	158	3	with	with	ADP
app01-8107	158	4	expectations	expectation	NOUN
app01-8107	158	5	,	,	PUNCT
app01-8107	158	6	the	the	DET
app01-8107	158	7	third	third	ADJ
app01-8107	158	8	problem	problem	NOUN
app01-8107	158	9	with	with	ADP
app01-8107	158	10	stiff	stiff	ADJ
app01-8107	158	11	square	square	ADJ
app01-8107	158	12	inclusions	inclusion	NOUN
app01-8107	158	13	was	be	AUX
app01-8107	158	14	indeed	indeed	ADV
app01-8107	158	15	the	the	DET
app01-8107	158	16	easiest	easy	ADJ
app01-8107	158	17	to	to	PART
app01-8107	158	18	solve	solve	VERB
app01-8107	158	19	and	and	CCONJ
app01-8107	158	20	the	the	DET
app01-8107	158	21	performance	performance	NOUN
app01-8107	158	22	of	of	ADP
app01-8107	158	23	all	all	DET
app01-8107	158	24	variants	variant	NOUN
app01-8107	158	25	did	do	AUX
app01-8107	158	26	not	not	PART
app01-8107	158	27	vary	vary	VERB
app01-8107	158	28	significantly	significantly	ADV
app01-8107	158	29	except	except	SCONJ
app01-8107	158	30	for	for	ADP
app01-8107	158	31	the	the	DET
app01-8107	158	32	most	most	ADV
app01-8107	158	33	advanced	advanced	ADJ
app01-8107	158	34	si46	si46	PROPN
app01-8107	158	35	vol	vol	NOUN
app01-8107	158	36	.	.	PUNCT
app01-8107	159	1	34/2022	34/2022	NUM
app01-8107	159	2	feti	feti	PROPN
app01-8107	159	3	methods	method	NOUN
app01-8107	159	4	for	for	ADP
app01-8107	159	5	topology	topology	NOUN
app01-8107	159	6	optimization	optimization	NOUN
app01-8107	159	7	problems	problem	NOUN
app01-8107	159	8	(	(	PUNCT
app01-8107	159	9	a	a	X
app01-8107	159	10	)	)	PUNCT
app01-8107	159	11	(	(	PUNCT
app01-8107	159	12	b	b	X
app01-8107	159	13	)	)	PUNCT
app01-8107	159	14	(	(	PUNCT
app01-8107	159	15	c	c	X
app01-8107	159	16	)	)	PUNCT
app01-8107	159	17	figure	figure	NOUN
app01-8107	159	18	1	1	NUM
app01-8107	159	19	.	.	PUNCT
app01-8107	160	1	three	three	NUM
app01-8107	160	2	academic	academic	ADJ
app01-8107	160	3	problems	problem	NOUN
app01-8107	160	4	taken	take	VERB
app01-8107	160	5	from	from	ADP
app01-8107	160	6	[	[	X
app01-8107	160	7	11	11	NUM
app01-8107	160	8	]	]	SYM
app01-8107	160	9	:	:	PUNCT
app01-8107	160	10	a	a	X
app01-8107	160	11	)	)	PUNCT
app01-8107	160	12	the	the	DET
app01-8107	160	13	laminated	laminated	ADJ
app01-8107	160	14	beam	beam	NOUN
app01-8107	160	15	,	,	PUNCT
app01-8107	160	16	b	b	X
app01-8107	160	17	)	)	PUNCT
app01-8107	160	18	the	the	DET
app01-8107	160	19	3	3	NUM
app01-8107	160	20	×	×	NOUN
app01-8107	160	21	3	3	NUM
app01-8107	160	22	grid	grid	NOUN
app01-8107	160	23	of	of	ADP
app01-8107	160	24	periodic	periodic	ADJ
app01-8107	160	25	,	,	PUNCT
app01-8107	160	26	layered	layered	ADJ
app01-8107	160	27	subdomains	subdomain	NOUN
app01-8107	160	28	,	,	PUNCT
app01-8107	160	29	and	and	CCONJ
app01-8107	160	30	,	,	PUNCT
app01-8107	160	31	c	c	X
app01-8107	160	32	)	)	PUNCT
app01-8107	160	33	the	the	DET
app01-8107	160	34	4×4	4×4	NUM
app01-8107	160	35	grid	grid	NOUN
app01-8107	160	36	of	of	ADP
app01-8107	160	37	peridodic	peridodic	ADJ
app01-8107	160	38	subdomains	subdomain	NOUN
app01-8107	160	39	with	with	ADP
app01-8107	160	40	immersed	immersed	ADJ
app01-8107	160	41	stiff	stiff	ADJ
app01-8107	160	42	square	square	ADJ
app01-8107	160	43	inclusion	inclusion	NOUN
app01-8107	160	44	.	.	PUNCT
app01-8107	161	1	multaneous	multaneous	ADJ
app01-8107	161	2	variants	variant	NOUN
app01-8107	161	3	of	of	ADP
app01-8107	161	4	both	both	DET
app01-8107	161	5	t	t	PROPN
app01-8107	161	6	-	-	PUNCT
app01-8107	161	7	feti	feti	PROPN
app01-8107	161	8	and	and	CCONJ
app01-8107	161	9	feti	feti	NOUN
app01-8107	161	10	-	-	PUNCT
app01-8107	161	11	dp	dp	NOUN
app01-8107	161	12	which	which	PRON
app01-8107	161	13	converged	converge	VERB
app01-8107	161	14	in	in	ADP
app01-8107	161	15	fewer	few	ADJ
app01-8107	161	16	than	than	ADP
app01-8107	161	17	half	half	NOUN
app01-8107	161	18	of	of	ADP
app01-8107	161	19	the	the	DET
app01-8107	161	20	iterations	iteration	NOUN
app01-8107	161	21	needed	need	VERB
app01-8107	161	22	by	by	ADP
app01-8107	161	23	the	the	DET
app01-8107	161	24	other	other	ADJ
app01-8107	161	25	variants	variant	NOUN
app01-8107	161	26	.	.	PUNCT
app01-8107	162	1	on	on	ADP
app01-8107	162	2	the	the	DET
app01-8107	162	3	other	other	ADJ
app01-8107	162	4	hand	hand	NOUN
app01-8107	162	5	,	,	PUNCT
app01-8107	162	6	once	once	SCONJ
app01-8107	162	7	the	the	DET
app01-8107	162	8	heterogeneity	heterogeneity	NOUN
app01-8107	162	9	in	in	ADP
app01-8107	162	10	stiffness	stiffness	ADJ
app01-8107	162	11	coefficients	coefficient	NOUN
app01-8107	162	12	reached	reach	VERB
app01-8107	162	13	subdomain	subdomain	NOUN
app01-8107	162	14	boundaries	boundary	NOUN
app01-8107	162	15	(	(	PUNCT
app01-8107	162	16	the	the	DET
app01-8107	162	17	first	first	ADJ
app01-8107	162	18	and	and	CCONJ
app01-8107	162	19	the	the	DET
app01-8107	162	20	second	second	ADJ
app01-8107	162	21	test	test	NOUN
app01-8107	162	22	problems	problem	NOUN
app01-8107	162	23	)	)	PUNCT
app01-8107	162	24	,	,	PUNCT
app01-8107	162	25	the	the	DET
app01-8107	162	26	performance	performance	NOUN
app01-8107	162	27	of	of	ADP
app01-8107	162	28	the	the	DET
app01-8107	162	29	unmodified	unmodified	ADJ
app01-8107	162	30	variants	variant	NOUN
app01-8107	162	31	deteriorated	deteriorate	VERB
app01-8107	162	32	rapidly	rapidly	ADV
app01-8107	162	33	.	.	PUNCT
app01-8107	163	1	however	however	ADV
app01-8107	163	2	,	,	PUNCT
app01-8107	163	3	the	the	DET
app01-8107	163	4	importance	importance	NOUN
app01-8107	163	5	of	of	ADP
app01-8107	163	6	k	k	NOUN
app01-8107	163	7	-	-	ADJ
app01-8107	163	8	scaling	scaling	ADJ
app01-8107	163	9	(	(	PUNCT
app01-8107	163	10	solid	solid	ADJ
app01-8107	163	11	lines	line	NOUN
app01-8107	163	12	)	)	PUNCT
app01-8107	163	13	in	in	ADP
app01-8107	163	14	contrast	contrast	NOUN
app01-8107	163	15	to	to	ADP
app01-8107	163	16	the	the	DET
app01-8107	163	17	simple	simple	ADJ
app01-8107	163	18	multiplicity	multiplicity	NOUN
app01-8107	163	19	scaling	scaling	NOUN
app01-8107	163	20	(	(	PUNCT
app01-8107	163	21	dotted	dotted	ADJ
app01-8107	163	22	lines	line	NOUN
app01-8107	163	23	)	)	PUNCT
app01-8107	163	24	arises	arise	VERB
app01-8107	163	25	only	only	ADV
app01-8107	163	26	in	in	ADP
app01-8107	163	27	the	the	DET
app01-8107	163	28	second	second	ADJ
app01-8107	163	29	example	example	NOUN
app01-8107	163	30	due	due	ADP
app01-8107	163	31	to	to	ADP
app01-8107	163	32	the	the	DET
app01-8107	163	33	presence	presence	NOUN
app01-8107	163	34	of	of	ADP
app01-8107	163	35	the	the	DET
app01-8107	163	36	cross	cross	NOUN
app01-8107	163	37	-	-	NOUN
app01-8107	163	38	points	point	NOUN
app01-8107	163	39	;	;	PUNCT
app01-8107	163	40	in	in	ADP
app01-8107	163	41	the	the	DET
app01-8107	163	42	third	third	ADJ
app01-8107	163	43	problem	problem	NOUN
app01-8107	163	44	for	for	ADP
app01-8107	163	45	instance	instance	NOUN
app01-8107	163	46	,	,	PUNCT
app01-8107	163	47	the	the	DET
app01-8107	163	48	k	k	NOUN
app01-8107	163	49	-	-	ADJ
app01-8107	163	50	scaling	scaling	NOUN
app01-8107	163	51	falls	fall	VERB
app01-8107	163	52	back	back	ADV
app01-8107	163	53	to	to	ADP
app01-8107	163	54	multiplicity	multiplicity	NOUN
app01-8107	163	55	scaling	scaling	NOUN
app01-8107	163	56	as	as	SCONJ
app01-8107	163	57	mentioned	mention	VERB
app01-8107	163	58	in	in	ADP
app01-8107	163	59	section	section	NOUN
app01-8107	163	60	3.1	3.1	NUM
app01-8107	163	61	.	.	PUNCT
app01-8107	164	1	4.2	4.2	NUM
app01-8107	164	2	.	.	PUNCT
app01-8107	165	1	topology	topology	NOUN
app01-8107	165	2	optimization	optimization	NOUN
app01-8107	165	3	problems	problem	VERB
app01-8107	165	4	the	the	DET
app01-8107	165	5	second	second	ADJ
app01-8107	165	6	test	test	NOUN
app01-8107	165	7	suite	suite	NOUN
app01-8107	165	8	comprises	comprise	VERB
app01-8107	165	9	several	several	ADJ
app01-8107	165	10	snapshots	snapshot	NOUN
app01-8107	165	11	from	from	ADP
app01-8107	165	12	the	the	DET
app01-8107	165	13	modular	modular	ADJ
app01-8107	165	14	topology	topology	NOUN
app01-8107	165	15	optimization	optimization	NOUN
app01-8107	165	16	[	[	X
app01-8107	165	17	4	4	NUM
app01-8107	165	18	]	]	PUNCT
app01-8107	165	19	of	of	ADP
app01-8107	165	20	a	a	DET
app01-8107	165	21	beam	beam	NOUN
app01-8107	165	22	fixed	fix	VERB
app01-8107	165	23	at	at	ADP
app01-8107	165	24	both	both	CCONJ
app01-8107	165	25	bottom	bottom	ADJ
app01-8107	165	26	corners	corner	NOUN
app01-8107	165	27	and	and	CCONJ
app01-8107	165	28	loaded	load	VERB
app01-8107	165	29	by	by	ADP
app01-8107	165	30	a	a	DET
app01-8107	165	31	unit	unit	NOUN
app01-8107	165	32	force	force	NOUN
app01-8107	165	33	acting	act	VERB
app01-8107	165	34	at	at	ADP
app01-8107	165	35	the	the	DET
app01-8107	165	36	midspan	midspan	NOUN
app01-8107	165	37	of	of	ADP
app01-8107	165	38	the	the	DET
app01-8107	165	39	top	top	ADJ
app01-8107	165	40	edge	edge	NOUN
app01-8107	165	41	;	;	PUNCT
app01-8107	165	42	see	see	VERB
app01-8107	165	43	fig	fig	NOUN
app01-8107	165	44	.	.	PUNCT
app01-8107	166	1	3	3	X
app01-8107	166	2	.	.	PUNCT
app01-8107	166	3	the	the	DET
app01-8107	166	4	beam	beam	NOUN
app01-8107	166	5	is	be	AUX
app01-8107	166	6	composed	compose	VERB
app01-8107	166	7	of	of	ADP
app01-8107	166	8	96	96	NUM
app01-8107	166	9	square	square	ADJ
app01-8107	166	10	modules	module	NOUN
app01-8107	166	11	of	of	ADP
app01-8107	166	12	16	16	NUM
app01-8107	166	13	types	type	NOUN
app01-8107	166	14	(	(	PUNCT
app01-8107	166	15	depicted	depict	VERB
app01-8107	166	16	with	with	ADP
app01-8107	166	17	distinct	distinct	ADJ
app01-8107	166	18	colours	colour	NOUN
app01-8107	166	19	in	in	ADP
app01-8107	166	20	fig	fig	NOUN
app01-8107	166	21	.	.	PUNCT
app01-8107	167	1	3	3	NUM
app01-8107	167	2	)	)	PUNCT
app01-8107	167	3	.	.	PUNCT
app01-8107	168	1	the	the	DET
app01-8107	168	2	modular	modular	ADJ
app01-8107	168	3	composition	composition	NOUN
app01-8107	168	4	was	be	AUX
app01-8107	168	5	directly	directly	ADV
app01-8107	168	6	reflected	reflect	VERB
app01-8107	168	7	in	in	ADP
app01-8107	168	8	the	the	DET
app01-8107	168	9	beam	beam	NOUN
app01-8107	168	10	’s	’s	PART
app01-8107	168	11	partitioning	partition	VERB
app01-8107	168	12	into	into	ADP
app01-8107	168	13	96	96	NUM
app01-8107	168	14	subdomains	subdomain	NOUN
app01-8107	168	15	.	.	PUNCT
app01-8107	169	1	each	each	DET
app01-8107	169	2	subdomain	subdomain	NOUN
app01-8107	169	3	was	be	AUX
app01-8107	169	4	discretized	discretize	VERB
app01-8107	169	5	with	with	ADP
app01-8107	169	6	30	30	NUM
app01-8107	169	7	×	×	NOUN
app01-8107	169	8	30	30	NUM
app01-8107	169	9	bilinear	bilinear	NOUN
app01-8107	169	10	quadrilateral	quadrilateral	ADJ
app01-8107	169	11	finite	finite	ADJ
app01-8107	169	12	elements	element	NOUN
app01-8107	169	13	,	,	PUNCT
app01-8107	169	14	which	which	PRON
app01-8107	169	15	resulted	result	VERB
app01-8107	169	16	in	in	ADP
app01-8107	169	17	184,512	184,512	NUM
app01-8107	169	18	dofs	dof	NOUN
app01-8107	169	19	in	in	ADP
app01-8107	169	20	total	total	ADJ
app01-8107	169	21	and	and	CCONJ
app01-8107	169	22	over	over	ADP
app01-8107	169	23	10,000	10,000	NUM
app01-8107	169	24	dofs	dof	NOUN
app01-8107	169	25	in	in	ADP
app01-8107	169	26	the	the	DET
app01-8107	169	27	interface	interface	NOUN
app01-8107	169	28	problem	problem	NOUN
app01-8107	169	29	of	of	ADP
app01-8107	169	30	both	both	DET
app01-8107	169	31	t	t	PROPN
app01-8107	169	32	-	-	PUNCT
app01-8107	169	33	feti	feti	PROPN
app01-8107	169	34	and	and	CCONJ
app01-8107	169	35	feti	feti	NOUN
app01-8107	169	36	-	-	PUNCT
app01-8107	169	37	dp	dp	NOUN
app01-8107	169	38	.	.	PUNCT
app01-8107	170	1	in	in	ADP
app01-8107	170	2	particular	particular	ADJ
app01-8107	170	3	,	,	PUNCT
app01-8107	170	4	we	we	PRON
app01-8107	170	5	tested	test	VERB
app01-8107	170	6	the	the	DET
app01-8107	170	7	described	describe	VERB
app01-8107	170	8	solution	solution	NOUN
app01-8107	170	9	strategies	strategy	NOUN
app01-8107	170	10	on	on	ADP
app01-8107	170	11	the	the	DET
app01-8107	170	12	4th	4th	ADJ
app01-8107	170	13	,	,	PUNCT
app01-8107	170	14	8th	8th	ADJ
app01-8107	170	15	,	,	PUNCT
app01-8107	170	16	and	and	CCONJ
app01-8107	170	17	30th	30th	ADJ
app01-8107	170	18	iteration	iteration	NOUN
app01-8107	170	19	snapshots	snapshot	NOUN
app01-8107	170	20	of	of	ADP
app01-8107	170	21	the	the	DET
app01-8107	170	22	topology	topology	NOUN
app01-8107	170	23	optimization	optimization	NOUN
app01-8107	170	24	.	.	PUNCT
app01-8107	171	1	distribution	distribution	NOUN
app01-8107	171	2	of	of	ADP
app01-8107	171	3	the	the	DET
app01-8107	171	4	base	base	NOUN
app01-8107	171	5	material	material	NOUN
app01-8107	171	6	,	,	PUNCT
app01-8107	171	7	parameterized	parameterize	VERB
app01-8107	171	8	by	by	ADP
app01-8107	171	9	the	the	DET
app01-8107	171	10	relative	relative	ADJ
app01-8107	171	11	density	density	NOUN
app01-8107	171	12	ρ	ρ	PROPN
app01-8107	171	13	(	(	PUNCT
app01-8107	171	14	recall	recall	NOUN
app01-8107	171	15	eq	eq	ADP
app01-8107	171	16	.	.	PUNCT
app01-8107	172	1	(	(	PUNCT
app01-8107	172	2	1	1	NUM
app01-8107	172	3	)	)	PUNCT
app01-8107	172	4	)	)	PUNCT
app01-8107	172	5	,	,	PUNCT
app01-8107	172	6	in	in	ADP
app01-8107	172	7	these	these	DET
app01-8107	172	8	snapshots	snapshot	NOUN
app01-8107	172	9	is	be	AUX
app01-8107	172	10	shown	show	VERB
app01-8107	172	11	in	in	ADP
app01-8107	172	12	fig	fig	NOUN
app01-8107	172	13	.	.	PUNCT
app01-8107	173	1	4	4	NUM
app01-8107	173	2	.	.	X
app01-8107	173	3	as	as	SCONJ
app01-8107	173	4	the	the	DET
app01-8107	173	5	topology	topology	NOUN
app01-8107	173	6	optimization	optimization	NOUN
app01-8107	173	7	progresses	progress	VERB
app01-8107	173	8	,	,	PUNCT
app01-8107	173	9	the	the	DET
app01-8107	173	10	initially	initially	ADV
app01-8107	173	11	uniform	uniform	ADJ
app01-8107	173	12	density	density	NOUN
app01-8107	173	13	gradually	gradually	ADV
app01-8107	173	14	concentrates	concentrate	VERB
app01-8107	173	15	to	to	ADP
app01-8107	173	16	the	the	DET
app01-8107	173	17	most	most	ADV
app01-8107	173	18	efficient	efficient	ADJ
app01-8107	173	19	locations	location	NOUN
app01-8107	173	20	,	,	PUNCT
app01-8107	173	21	which	which	PRON
app01-8107	173	22	leads	lead	VERB
app01-8107	173	23	to	to	ADP
app01-8107	173	24	a	a	DET
app01-8107	173	25	highly	highly	ADV
app01-8107	173	26	heterogeneous	heterogeneous	ADJ
app01-8107	173	27	problem	problem	NOUN
app01-8107	173	28	with	with	ADP
app01-8107	173	29	significant	significant	ADJ
app01-8107	173	30	jumps	jump	NOUN
app01-8107	173	31	in	in	ADP
app01-8107	173	32	stiffness	stiffness	ADJ
app01-8107	173	33	coefficients	coefficient	NOUN
app01-8107	173	34	along	along	ADP
app01-8107	173	35	subdomain	subdomain	NOUN
app01-8107	173	36	boundaries	boundary	NOUN
app01-8107	173	37	,	,	PUNCT
app01-8107	173	38	making	make	VERB
app01-8107	173	39	the	the	DET
app01-8107	173	40	problem	problem	NOUN
app01-8107	173	41	difficult	difficult	ADJ
app01-8107	173	42	to	to	PART
app01-8107	173	43	solve	solve	VERB
app01-8107	173	44	with	with	ADP
app01-8107	173	45	iterative	iterative	ADJ
app01-8107	173	46	methods	method	NOUN
app01-8107	173	47	.	.	PUNCT
app01-8107	174	1	similarly	similarly	ADV
app01-8107	174	2	to	to	PART
app01-8107	174	3	section	section	NOUN
app01-8107	174	4	4.1	4.1	NUM
app01-8107	174	5	,	,	PUNCT
app01-8107	174	6	figure	figure	NOUN
app01-8107	174	7	5	5	NUM
app01-8107	174	8	summarizes	summarize	NOUN
app01-8107	174	9	the	the	DET
app01-8107	174	10	convergence	convergence	NOUN
app01-8107	174	11	history	history	NOUN
app01-8107	174	12	of	of	ADP
app01-8107	174	13	all	all	DET
app01-8107	174	14	12	12	NUM
app01-8107	174	15	variants	variant	NOUN
app01-8107	174	16	for	for	ADP
app01-8107	174	17	the	the	DET
app01-8107	174	18	three	three	NUM
app01-8107	174	19	topology	topology	NOUN
app01-8107	174	20	optimization	optimization	NOUN
app01-8107	174	21	snapshots	snapshot	NOUN
app01-8107	174	22	from	from	ADP
app01-8107	174	23	fig	fig	NOUN
app01-8107	174	24	.	.	PUNCT
app01-8107	175	1	4	4	X
app01-8107	175	2	.	.	X
app01-8107	175	3	the	the	DET
app01-8107	175	4	later	later	ADJ
app01-8107	175	5	stages	stage	NOUN
app01-8107	175	6	of	of	ADP
app01-8107	175	7	the	the	DET
app01-8107	175	8	topology	topology	NOUN
app01-8107	175	9	optimization	optimization	NOUN
app01-8107	175	10	in	in	ADP
app01-8107	175	11	particular	particular	ADJ
app01-8107	175	12	(	(	PUNCT
app01-8107	175	13	a	a	NOUN
app01-8107	175	14	)	)	PUNCT
app01-8107	175	15	(	(	PUNCT
app01-8107	175	16	b	b	X
app01-8107	175	17	)	)	PUNCT
app01-8107	175	18	(	(	PUNCT
app01-8107	175	19	c	c	X
app01-8107	175	20	)	)	PUNCT
app01-8107	175	21	figure	figure	NOUN
app01-8107	175	22	2	2	NUM
app01-8107	175	23	.	.	PUNCT
app01-8107	175	24	convergence	convergence	NOUN
app01-8107	175	25	history	history	NOUN
app01-8107	175	26	of	of	ADP
app01-8107	175	27	12	12	NUM
app01-8107	175	28	variants	variant	NOUN
app01-8107	175	29	of	of	ADP
app01-8107	175	30	the	the	DET
app01-8107	175	31	solution	solution	NOUN
app01-8107	175	32	strategies	strategy	NOUN
app01-8107	175	33	for	for	ADP
app01-8107	175	34	the	the	DET
app01-8107	175	35	three	three	NUM
app01-8107	175	36	academic	academic	ADJ
app01-8107	175	37	problems	problem	NOUN
app01-8107	175	38	shown	show	VERB
app01-8107	175	39	in	in	ADP
app01-8107	175	40	fig	fig	NOUN
app01-8107	175	41	.	.	PUNCT
app01-8107	176	1	1	1	NUM
app01-8107	176	2	:	:	PUNCT
app01-8107	176	3	a	a	X
app01-8107	176	4	)	)	PUNCT
app01-8107	176	5	a	a	DET
app01-8107	176	6	laminated	laminated	ADJ
app01-8107	176	7	beam	beam	NOUN
app01-8107	176	8	,	,	PUNCT
app01-8107	176	9	b	b	X
app01-8107	176	10	)	)	PUNCT
app01-8107	176	11	a	a	DET
app01-8107	176	12	3	3	NUM
app01-8107	176	13	×	×	NOUN
app01-8107	176	14	3	3	NUM
app01-8107	176	15	grid	grid	NOUN
app01-8107	176	16	of	of	ADP
app01-8107	176	17	laminated	laminated	ADJ
app01-8107	176	18	subdomains	subdomain	NOUN
app01-8107	176	19	,	,	PUNCT
app01-8107	176	20	and	and	CCONJ
app01-8107	176	21	,	,	PUNCT
app01-8107	176	22	c	c	X
app01-8107	176	23	)	)	PUNCT
app01-8107	176	24	a	a	DET
app01-8107	176	25	4	4	NUM
app01-8107	176	26	×	×	NOUN
app01-8107	176	27	4	4	NUM
app01-8107	176	28	grid	grid	NOUN
app01-8107	176	29	of	of	ADP
app01-8107	176	30	subdomains	subdomain	NOUN
app01-8107	176	31	with	with	ADP
app01-8107	176	32	stiff	stiff	ADJ
app01-8107	176	33	square	square	ADJ
app01-8107	176	34	inclusions	inclusion	NOUN
app01-8107	176	35	.	.	PUNCT
app01-8107	177	1	fo	fo	ADP
app01-8107	177	2	denotes	denote	NOUN
app01-8107	177	3	full	full	ADJ
app01-8107	177	4	orthogonalization	orthogonalization	NOUN
app01-8107	177	5	enhancement	enhancement	NOUN
app01-8107	177	6	,	,	PUNCT
app01-8107	177	7	rrs	rrs	PROPN
app01-8107	177	8	stands	stand	VERB
app01-8107	177	9	for	for	ADP
app01-8107	177	10	the	the	DET
app01-8107	177	11	simultaneous	simultaneous	ADJ
app01-8107	177	12	variant	variant	NOUN
app01-8107	177	13	with	with	ADP
app01-8107	177	14	rank	rank	NOUN
app01-8107	177	15	-	-	PUNCT
app01-8107	177	16	revealing	reveal	VERB
app01-8107	177	17	decomposition	decomposition	NOUN
app01-8107	177	18	.	.	PUNCT
app01-8107	178	1	in	in	ADP
app01-8107	178	2	all	all	DET
app01-8107	178	3	graphs	graph	NOUN
app01-8107	178	4	,	,	PUNCT
app01-8107	178	5	results	result	NOUN
app01-8107	178	6	with	with	ADP
app01-8107	178	7	the	the	DET
app01-8107	178	8	k	k	NOUN
app01-8107	178	9	-	-	ADJ
app01-8107	178	10	scaling	scaling	ADJ
app01-8107	178	11	enhancement	enhancement	NOUN
app01-8107	178	12	are	be	AUX
app01-8107	178	13	plotted	plot	VERB
app01-8107	178	14	in	in	ADP
app01-8107	178	15	solid	solid	ADJ
app01-8107	178	16	lines	line	NOUN
app01-8107	178	17	while	while	SCONJ
app01-8107	178	18	the	the	DET
app01-8107	178	19	dotted	dotted	ADJ
app01-8107	178	20	lines	line	NOUN
app01-8107	178	21	represent	represent	VERB
app01-8107	178	22	the	the	DET
app01-8107	178	23	multiplicity	multiplicity	NOUN
app01-8107	178	24	scaling	scale	VERB
app01-8107	178	25	.	.	PUNCT
app01-8107	179	1	the	the	DET
app01-8107	179	2	dash	dash	NOUN
app01-8107	179	3	-	-	PUNCT
app01-8107	179	4	dotted	dot	VERB
app01-8107	179	5	line	line	NOUN
app01-8107	179	6	mark	mark	VERB
app01-8107	179	7	the	the	DET
app01-8107	179	8	desired	desire	VERB
app01-8107	179	9	residual	residual	ADJ
app01-8107	179	10	threshold	threshold	NOUN
app01-8107	179	11	ϵ	ϵ	X
app01-8107	179	12	from	from	ADP
app01-8107	179	13	algorithm	algorithm	NOUN
app01-8107	179	14	1	1	NUM
app01-8107	179	15	.	.	PUNCT
app01-8107	180	1	render	render	VERB
app01-8107	180	2	challenging	challenging	ADJ
app01-8107	180	3	problems	problem	NOUN
app01-8107	180	4	for	for	ADP
app01-8107	180	5	t	t	PROPN
app01-8107	180	6	-	-	PUNCT
app01-8107	180	7	feti	feti	PROPN
app01-8107	180	8	and	and	CCONJ
app01-8107	180	9	feti	feti	PROPN
app01-8107	180	10	-	-	PUNCT
app01-8107	180	11	dp	dp	ADJ
app01-8107	180	12	solvers	solver	NOUN
app01-8107	180	13	;	;	PUNCT
app01-8107	180	14	while	while	SCONJ
app01-8107	180	15	in	in	ADP
app01-8107	180	16	the	the	DET
app01-8107	180	17	first	first	ADJ
app01-8107	180	18	snapshot	snapshot	NOUN
app01-8107	180	19	,	,	PUNCT
app01-8107	180	20	all	all	DET
app01-8107	180	21	methods	method	NOUN
app01-8107	180	22	except	except	SCONJ
app01-8107	180	23	for	for	ADP
app01-8107	180	24	t	t	PROPN
app01-8107	180	25	-	-	PUNCT
app01-8107	180	26	feti	feti	PROPN
app01-8107	180	27	with	with	ADP
app01-8107	180	28	full	full	ADJ
app01-8107	180	29	orthogonalization	orthogonalization	NOUN
app01-8107	180	30	successfully	successfully	ADV
app01-8107	180	31	converged	converge	VERB
app01-8107	180	32	,	,	PUNCT
app01-8107	180	33	in	in	ADP
app01-8107	180	34	the	the	DET
app01-8107	180	35	last	last	ADJ
app01-8107	180	36	snapshot	snapshot	NOUN
app01-8107	180	37	,	,	PUNCT
app01-8107	180	38	only	only	ADV
app01-8107	180	39	the	the	DET
app01-8107	180	40	simultaneous	simultaneous	ADJ
app01-8107	180	41	feti	feti	NOUN
app01-8107	180	42	-	-	NOUN
app01-8107	180	43	dp	dp	NOUN
app01-8107	180	44	with	with	ADP
app01-8107	180	45	rank	rank	NOUN
app01-8107	180	46	-	-	PUNCT
app01-8107	180	47	revealing	reveal	VERB
app01-8107	180	48	factorization	factorization	NOUN
app01-8107	180	49	succeeded	succeed	VERB
app01-8107	180	50	.	.	PUNCT
app01-8107	181	1	5	5	X
app01-8107	181	2	.	.	X
app01-8107	181	3	discussion	discussion	NOUN
app01-8107	181	4	the	the	DET
app01-8107	181	5	numerical	numerical	ADJ
app01-8107	181	6	tests	test	NOUN
app01-8107	181	7	clearly	clearly	ADV
app01-8107	181	8	demonstrate	demonstrate	VERB
app01-8107	181	9	that	that	SCONJ
app01-8107	181	10	the	the	DET
app01-8107	181	11	linear	linear	PROPN
app01-8107	181	12	systems	system	NOUN
app01-8107	181	13	of	of	ADP
app01-8107	181	14	equations	equation	NOUN
app01-8107	181	15	arising	arise	VERB
app01-8107	181	16	in	in	ADP
app01-8107	181	17	modular	modular	ADJ
app01-8107	181	18	topology	topology	NOUN
app01-8107	181	19	optimization	optimization	NOUN
app01-8107	181	20	are	be	AUX
app01-8107	181	21	indeed	indeed	ADV
app01-8107	181	22	challenging	challenge	VERB
app01-8107	181	23	for	for	ADP
app01-8107	181	24	domaindecomposition	domaindecomposition	NOUN
app01-8107	181	25	based	base	VERB
app01-8107	181	26	iterative	iterative	NOUN
app01-8107	181	27	methods	method	NOUN
app01-8107	181	28	.	.	PUNCT
app01-8107	182	1	the	the	DET
app01-8107	182	2	main	main	ADJ
app01-8107	182	3	culprit	culprit	NOUN
app01-8107	182	4	is	be	AUX
app01-8107	182	5	the	the	DET
app01-8107	182	6	potentially	potentially	ADV
app01-8107	182	7	unfavorable	unfavorable	ADJ
app01-8107	182	8	partitioning	partitioning	NOUN
app01-8107	182	9	into	into	ADP
app01-8107	182	10	47	47	NUM
app01-8107	182	11	t.	t.	PROPN
app01-8107	182	12	medřický	medřický	PROPN
app01-8107	182	13	,	,	PUNCT
app01-8107	182	14	m.	m.	NOUN
app01-8107	182	15	doškář	doškář	PROPN
app01-8107	182	16	,	,	PUNCT
app01-8107	182	17	i.	i.	PROPN
app01-8107	182	18	pultarová	pultarová	PROPN
app01-8107	182	19	,	,	PUNCT
app01-8107	182	20	j.	j.	PROPN
app01-8107	182	21	zeman	zeman	PROPN
app01-8107	182	22	acta	acta	PROPN
app01-8107	182	23	polytechnica	polytechnica	PROPN
app01-8107	182	24	ctu	ctu	PROPN
app01-8107	182	25	proceedings	proceeding	NOUN
app01-8107	182	26	figure	figure	VERB
app01-8107	182	27	3	3	NUM
app01-8107	182	28	.	.	PUNCT
app01-8107	183	1	an	an	DET
app01-8107	183	2	illustration	illustration	NOUN
app01-8107	183	3	of	of	ADP
app01-8107	183	4	the	the	DET
app01-8107	183	5	beam	beam	NOUN
app01-8107	183	6	problem	problem	NOUN
app01-8107	183	7	arising	arise	VERB
app01-8107	183	8	in	in	ADP
app01-8107	183	9	modular	modular	ADJ
app01-8107	183	10	topology	topology	NOUN
app01-8107	183	11	optimization	optimization	NOUN
app01-8107	183	12	.	.	PUNCT
app01-8107	184	1	the	the	DET
app01-8107	184	2	distinct	distinct	ADJ
app01-8107	184	3	colours	colour	NOUN
app01-8107	184	4	represent	represent	VERB
app01-8107	184	5	16	16	NUM
app01-8107	184	6	different	different	ADJ
app01-8107	184	7	types	type	NOUN
app01-8107	184	8	of	of	ADP
app01-8107	184	9	96	96	NUM
app01-8107	184	10	modules	module	NOUN
app01-8107	184	11	,	,	PUNCT
app01-8107	184	12	which	which	PRON
app01-8107	184	13	constitute	constitute	VERB
app01-8107	184	14	the	the	DET
app01-8107	184	15	beam	beam	NOUN
app01-8107	184	16	’s	’s	PART
app01-8107	184	17	subdomains	subdomain	NOUN
app01-8107	184	18	ωs	ωs	PROPN
app01-8107	184	19	.	.	PROPN
app01-8107	184	20	(	(	PUNCT
app01-8107	184	21	a	a	X
app01-8107	184	22	)	)	PUNCT
app01-8107	184	23	0	0	NUM
app01-8107	185	1	0.1	0.1	NUM
app01-8107	185	2	0.2	0.2	NUM
app01-8107	185	3	0.3	0.3	NUM
app01-8107	185	4	0.4	0.4	NUM
app01-8107	185	5	0.5	0.5	NUM
app01-8107	185	6	0.6	0.6	NUM
app01-8107	185	7	0.7	0.7	NUM
app01-8107	185	8	0.8	0.8	NUM
app01-8107	185	9	0.9	0.9	NUM
app01-8107	185	10	1	1	NUM
app01-8107	185	11	r	r	NOUN
app01-8107	185	12	el	el	PROPN
app01-8107	185	13	at	at	ADP
app01-8107	185	14	iv	iv	NUM
app01-8107	185	15	e	e	PROPN
app01-8107	185	16	de	de	X
app01-8107	185	17	ns	ns	INTJ
app01-8107	185	18	ity	ity	PROPN
app01-8107	185	19	(	(	PUNCT
app01-8107	185	20	b	b	NOUN
app01-8107	185	21	)	)	PUNCT
app01-8107	185	22	(	(	PUNCT
app01-8107	185	23	c	c	X
app01-8107	185	24	)	)	PUNCT
app01-8107	185	25	figure	figure	NOUN
app01-8107	185	26	4	4	NUM
app01-8107	185	27	.	.	PUNCT
app01-8107	185	28	three	three	NUM
app01-8107	185	29	snapshots	snapshot	NOUN
app01-8107	185	30	of	of	ADP
app01-8107	185	31	modular	modular	ADJ
app01-8107	185	32	topology	topology	NOUN
app01-8107	185	33	optimization	optimization	NOUN
app01-8107	185	34	constituting	constitute	VERB
app01-8107	185	35	the	the	DET
app01-8107	185	36	second	second	ADJ
app01-8107	185	37	suite	suite	NOUN
app01-8107	185	38	of	of	ADP
app01-8107	185	39	test	test	NOUN
app01-8107	185	40	problems	problem	NOUN
app01-8107	185	41	:	:	PUNCT
app01-8107	185	42	a	a	X
app01-8107	185	43	)	)	PUNCT
app01-8107	185	44	4th	4th	ADJ
app01-8107	185	45	iteration	iteration	NOUN
app01-8107	185	46	,	,	PUNCT
app01-8107	185	47	b	b	NOUN
app01-8107	185	48	)	)	PUNCT
app01-8107	185	49	8th	8th	ADJ
app01-8107	185	50	iteration	iteration	NOUN
app01-8107	185	51	,	,	PUNCT
app01-8107	185	52	and	and	CCONJ
app01-8107	185	53	c	c	X
app01-8107	185	54	)	)	PUNCT
app01-8107	185	55	30th	30th	ADJ
app01-8107	185	56	iteration	iteration	NOUN
app01-8107	185	57	.	.	PUNCT
app01-8107	186	1	subdomains	subdomain	NOUN
app01-8107	186	2	,	,	PUNCT
app01-8107	186	3	which	which	PRON
app01-8107	186	4	leads	lead	VERB
app01-8107	186	5	to	to	ADP
app01-8107	186	6	coefficients	coefficient	NOUN
app01-8107	186	7	jumps	jump	VERB
app01-8107	186	8	across	across	ADP
app01-8107	186	9	subdomain	subdomain	NOUN
app01-8107	186	10	boundaries	boundary	NOUN
app01-8107	186	11	,	,	PUNCT
app01-8107	186	12	and	and	CCONJ
app01-8107	186	13	most	most	ADV
app01-8107	186	14	importantly	importantly	ADV
app01-8107	186	15	the	the	DET
app01-8107	186	16	high	high	ADJ
app01-8107	186	17	contrast	contrast	NOUN
app01-8107	186	18	in	in	ADP
app01-8107	186	19	stiffness	stiffness	ADJ
app01-8107	186	20	coefficients	coefficient	NOUN
app01-8107	186	21	.	.	PUNCT
app01-8107	187	1	these	these	DET
app01-8107	187	2	effects	effect	NOUN
app01-8107	187	3	are	be	AUX
app01-8107	187	4	partly	partly	ADV
app01-8107	187	5	present	present	ADJ
app01-8107	187	6	in	in	ADP
app01-8107	187	7	the	the	DET
app01-8107	187	8	academic	academic	ADJ
app01-8107	187	9	test	test	NOUN
app01-8107	187	10	problems	problem	NOUN
app01-8107	187	11	,	,	PUNCT
app01-8107	187	12	however	however	ADV
app01-8107	187	13	,	,	PUNCT
app01-8107	187	14	they	they	PRON
app01-8107	187	15	are	be	AUX
app01-8107	187	16	significantly	significantly	ADV
app01-8107	187	17	more	more	ADV
app01-8107	187	18	pronounced	pronounced	ADJ
app01-8107	187	19	in	in	ADP
app01-8107	187	20	the	the	DET
app01-8107	187	21	topology	topology	NOUN
app01-8107	187	22	optimization	optimization	NOUN
app01-8107	187	23	problems	problem	VERB
app01-8107	187	24	up	up	ADP
app01-8107	187	25	to	to	ADP
app01-8107	187	26	the	the	DET
app01-8107	187	27	point	point	NOUN
app01-8107	187	28	at	at	ADP
app01-8107	187	29	which	which	PRON
app01-8107	187	30	most	most	ADJ
app01-8107	187	31	of	of	ADP
app01-8107	187	32	the	the	DET
app01-8107	187	33	considered	consider	VERB
app01-8107	187	34	solution	solution	NOUN
app01-8107	187	35	variants	variant	NOUN
app01-8107	187	36	break	break	VERB
app01-8107	187	37	or	or	CCONJ
app01-8107	187	38	do	do	AUX
app01-8107	187	39	not	not	PART
app01-8107	187	40	converge	converge	VERB
app01-8107	187	41	in	in	ADP
app01-8107	187	42	a	a	DET
app01-8107	187	43	reasonable	reasonable	ADJ
app01-8107	187	44	time	time	NOUN
app01-8107	187	45	.	.	PUNCT
app01-8107	188	1	the	the	DET
app01-8107	188	2	only	only	ADJ
app01-8107	188	3	variant	variant	NOUN
app01-8107	188	4	successful	successful	ADJ
app01-8107	188	5	in	in	ADP
app01-8107	188	6	all	all	DET
app01-8107	188	7	tests	test	NOUN
app01-8107	188	8	was	be	AUX
app01-8107	188	9	the	the	DET
app01-8107	188	10	simultaneous	simultaneous	ADJ
app01-8107	188	11	feti	feti	NOUN
app01-8107	188	12	-	-	NOUN
app01-8107	188	13	dp	dp	NOUN
app01-8107	188	14	with	with	ADP
app01-8107	188	15	rank	rank	NOUN
app01-8107	188	16	-	-	PUNCT
app01-8107	188	17	revealing	reveal	VERB
app01-8107	188	18	cholesky	cholesky	ADJ
app01-8107	188	19	decomposition	decomposition	NOUN
app01-8107	188	20	.	.	PUNCT
app01-8107	189	1	with	with	ADP
app01-8107	189	2	incorporated	incorporated	ADJ
app01-8107	189	3	k	k	NOUN
app01-8107	189	4	-	-	ADJ
app01-8107	189	5	scaling	scaling	ADJ
app01-8107	189	6	,	,	PUNCT
app01-8107	189	7	this	this	DET
app01-8107	189	8	variant	variant	NOUN
app01-8107	189	9	was	be	AUX
app01-8107	189	10	also	also	ADV
app01-8107	189	11	the	the	DET
app01-8107	189	12	fastest	fast	ADJ
app01-8107	189	13	to	to	PART
app01-8107	189	14	converge	converge	VERB
app01-8107	189	15	,	,	PUNCT
app01-8107	189	16	even	even	ADV
app01-8107	189	17	though	though	SCONJ
app01-8107	189	18	the	the	DET
app01-8107	189	19	convergence	convergence	NOUN
app01-8107	189	20	rate	rate	NOUN
app01-8107	189	21	of	of	ADP
app01-8107	189	22	t	t	PROPN
app01-8107	189	23	-	-	PUNCT
app01-8107	189	24	feti	feti	PROPN
app01-8107	189	25	with	with	ADP
app01-8107	189	26	rank	rank	NOUN
app01-8107	189	27	-	-	PUNCT
app01-8107	189	28	revealing	revealing	NOUN
app01-8107	189	29	was	be	AUX
app01-8107	189	30	usually	usually	ADV
app01-8107	189	31	comparable	comparable	ADJ
app01-8107	189	32	when	when	SCONJ
app01-8107	189	33	it	it	PRON
app01-8107	189	34	converged	converge	VERB
app01-8107	189	35	.	.	PUNCT
app01-8107	190	1	on	on	ADP
app01-8107	190	2	the	the	DET
app01-8107	190	3	other	other	ADJ
app01-8107	190	4	side	side	NOUN
app01-8107	190	5	of	of	ADP
app01-8107	190	6	the	the	DET
app01-8107	190	7	convergence	convergence	NOUN
app01-8107	190	8	spectrum	spectrum	NOUN
app01-8107	190	9	were	be	AUX
app01-8107	190	10	the	the	DET
app01-8107	190	11	original	original	ADJ
app01-8107	190	12	variants	variant	NOUN
app01-8107	190	13	of	of	ADP
app01-8107	190	14	t	t	PROPN
app01-8107	190	15	-	-	PUNCT
app01-8107	190	16	feti	feti	PROPN
app01-8107	190	17	and	and	CCONJ
app01-8107	190	18	feti	feti	PROPN
app01-8107	190	19	-	-	PUNCT
app01-8107	190	20	dp	dp	NOUN
app01-8107	190	21	.	.	PUNCT
app01-8107	191	1	however	however	ADV
app01-8107	191	2	,	,	PUNCT
app01-8107	191	3	while	while	SCONJ
app01-8107	191	4	featuring	feature	VERB
app01-8107	191	5	the	the	DET
app01-8107	191	6	slowest	slow	ADJ
app01-8107	191	7	convergence	convergence	NOUN
app01-8107	191	8	,	,	PUNCT
app01-8107	191	9	those	those	DET
app01-8107	191	10	methods	method	NOUN
app01-8107	191	11	proved	prove	VERB
app01-8107	191	12	to	to	PART
app01-8107	191	13	be	be	AUX
app01-8107	191	14	relatively	relatively	ADV
app01-8107	191	15	robust	robust	ADJ
app01-8107	191	16	,	,	PUNCT
app01-8107	191	17	unlike	unlike	ADP
app01-8107	191	18	the	the	DET
app01-8107	191	19	modifications	modification	NOUN
app01-8107	191	20	with	with	ADP
app01-8107	191	21	full	full	ADJ
app01-8107	191	22	orthogonalization	orthogonalization	NOUN
app01-8107	191	23	,	,	PUNCT
app01-8107	191	24	which	which	PRON
app01-8107	191	25	reduced	reduce	VERB
app01-8107	191	26	the	the	DET
app01-8107	191	27	needed	need	VERB
app01-8107	191	28	iterations	iteration	NOUN
app01-8107	191	29	only	only	ADV
app01-8107	191	30	for	for	ADP
app01-8107	191	31	mildly	mildly	ADV
app01-8107	191	32	heterogeneous	heterogeneous	ADJ
app01-8107	191	33	problems	problem	NOUN
app01-8107	191	34	and	and	CCONJ
app01-8107	191	35	broke	break	VERB
app01-8107	191	36	completely	completely	ADV
app01-8107	191	37	for	for	ADP
app01-8107	191	38	the	the	DET
app01-8107	191	39	final	final	ADJ
app01-8107	191	40	test	test	NOUN
app01-8107	191	41	problem	problem	NOUN
app01-8107	191	42	.	.	PUNCT
app01-8107	192	1	we	we	PRON
app01-8107	192	2	conjecture	conjecture	VERB
app01-8107	192	3	that	that	SCONJ
app01-8107	192	4	the	the	DET
app01-8107	192	5	rapid	rapid	ADJ
app01-8107	192	6	increase	increase	NOUN
app01-8107	192	7	in	in	ADP
app01-8107	192	8	the	the	DET
app01-8107	192	9	(	(	PUNCT
app01-8107	192	10	a	a	NOUN
app01-8107	192	11	)	)	PUNCT
app01-8107	192	12	(	(	PUNCT
app01-8107	192	13	b	b	X
app01-8107	192	14	)	)	PUNCT
app01-8107	192	15	(	(	PUNCT
app01-8107	192	16	c	c	X
app01-8107	192	17	)	)	PUNCT
app01-8107	192	18	figure	figure	NOUN
app01-8107	192	19	5	5	NUM
app01-8107	192	20	.	.	PUNCT
app01-8107	192	21	convergence	convergence	NOUN
app01-8107	192	22	history	history	NOUN
app01-8107	192	23	of	of	ADP
app01-8107	192	24	12	12	NUM
app01-8107	192	25	variants	variant	NOUN
app01-8107	192	26	of	of	ADP
app01-8107	192	27	the	the	DET
app01-8107	192	28	solution	solution	NOUN
app01-8107	192	29	strategies	strategy	NOUN
app01-8107	192	30	for	for	ADP
app01-8107	192	31	the	the	DET
app01-8107	192	32	three	three	NUM
app01-8107	192	33	snapshots	snapshot	NOUN
app01-8107	192	34	of	of	ADP
app01-8107	192	35	modular	modular	ADJ
app01-8107	192	36	topology	topology	NOUN
app01-8107	192	37	optimization	optimization	NOUN
app01-8107	192	38	from	from	ADP
app01-8107	192	39	fig	fig	NOUN
app01-8107	192	40	.	.	PUNCT
app01-8107	193	1	4	4	NUM
app01-8107	193	2	:	:	PUNCT
app01-8107	193	3	a	a	X
app01-8107	193	4	)	)	PUNCT
app01-8107	193	5	4th	4th	ADJ
app01-8107	193	6	,	,	PUNCT
app01-8107	193	7	b	b	NOUN
app01-8107	193	8	)	)	PUNCT
app01-8107	193	9	8th	8th	NOUN
app01-8107	193	10	,	,	PUNCT
app01-8107	193	11	and	and	CCONJ
app01-8107	193	12	c	c	X
app01-8107	193	13	)	)	PUNCT
app01-8107	193	14	30th	30th	ADJ
app01-8107	193	15	iteration	iteration	NOUN
app01-8107	193	16	of	of	ADP
app01-8107	193	17	the	the	DET
app01-8107	193	18	topology	topology	NOUN
app01-8107	193	19	optimization	optimization	NOUN
app01-8107	193	20	.	.	PUNCT
app01-8107	194	1	similarly	similarly	ADV
app01-8107	194	2	to	to	ADP
app01-8107	194	3	fig	fig	VERB
app01-8107	194	4	.	.	PUNCT
app01-8107	195	1	2	2	NUM
app01-8107	195	2	,	,	PUNCT
app01-8107	195	3	fo	fo	ADP
app01-8107	195	4	denotes	denote	NOUN
app01-8107	195	5	full	full	ADJ
app01-8107	195	6	orthogonalization	orthogonalization	NOUN
app01-8107	195	7	enhancement	enhancement	NOUN
app01-8107	195	8	,	,	PUNCT
app01-8107	195	9	rrs	rrs	PROPN
app01-8107	195	10	stands	stand	VERB
app01-8107	195	11	for	for	ADP
app01-8107	195	12	the	the	DET
app01-8107	195	13	simultaneous	simultaneous	ADJ
app01-8107	195	14	variant	variant	NOUN
app01-8107	195	15	with	with	ADP
app01-8107	195	16	rank	rank	NOUN
app01-8107	195	17	-	-	PUNCT
app01-8107	195	18	revealing	reveal	VERB
app01-8107	195	19	decomposition	decomposition	NOUN
app01-8107	195	20	.	.	PUNCT
app01-8107	196	1	in	in	ADP
app01-8107	196	2	all	all	DET
app01-8107	196	3	graphs	graph	NOUN
app01-8107	196	4	,	,	PUNCT
app01-8107	196	5	results	result	NOUN
app01-8107	196	6	with	with	ADP
app01-8107	196	7	the	the	DET
app01-8107	196	8	k	k	NOUN
app01-8107	196	9	-	-	ADJ
app01-8107	196	10	scaling	scaling	ADJ
app01-8107	196	11	enhancement	enhancement	NOUN
app01-8107	196	12	are	be	AUX
app01-8107	196	13	plotted	plot	VERB
app01-8107	196	14	in	in	ADP
app01-8107	196	15	solid	solid	ADJ
app01-8107	196	16	lines	line	NOUN
app01-8107	196	17	while	while	SCONJ
app01-8107	196	18	the	the	DET
app01-8107	196	19	dotted	dotted	ADJ
app01-8107	196	20	lines	line	NOUN
app01-8107	196	21	represent	represent	VERB
app01-8107	196	22	the	the	DET
app01-8107	196	23	multiplicity	multiplicity	NOUN
app01-8107	196	24	scaling	scale	VERB
app01-8107	196	25	.	.	PUNCT
app01-8107	197	1	the	the	DET
app01-8107	197	2	dash	dash	NOUN
app01-8107	197	3	-	-	PUNCT
app01-8107	197	4	dotted	dot	VERB
app01-8107	197	5	line	line	NOUN
app01-8107	197	6	mark	mark	VERB
app01-8107	197	7	the	the	DET
app01-8107	197	8	desired	desire	VERB
app01-8107	197	9	residual	residual	ADJ
app01-8107	197	10	threshold	threshold	NOUN
app01-8107	197	11	ϵ	ϵ	X
app01-8107	197	12	from	from	ADP
app01-8107	197	13	algorithm	algorithm	NOUN
app01-8107	197	14	1	1	NUM
app01-8107	197	15	.	.	PUNCT
app01-8107	198	1	monitored	monitor	VERB
app01-8107	198	2	residual	residual	ADJ
app01-8107	198	3	in	in	ADP
app01-8107	198	4	fig	fig	NOUN
app01-8107	198	5	.	.	PUNCT
app01-8107	199	1	5c	5c	NOUN
app01-8107	199	2	is	be	AUX
app01-8107	199	3	caused	cause	VERB
app01-8107	199	4	by	by	ADP
app01-8107	199	5	the	the	DET
app01-8107	199	6	loss	loss	NOUN
app01-8107	199	7	of	of	ADP
app01-8107	199	8	numerical	numerical	ADJ
app01-8107	199	9	accuracy	accuracy	NOUN
app01-8107	199	10	due	due	ADP
app01-8107	199	11	to	to	ADP
app01-8107	199	12	round	round	VERB
app01-8107	199	13	-	-	PUNCT
app01-8107	199	14	off	off	ADP
app01-8107	199	15	errors	error	NOUN
app01-8107	199	16	during	during	ADP
app01-8107	199	17	the	the	DET
app01-8107	199	18	orthonormalization	orthonormalization	NOUN
app01-8107	199	19	.	.	PUNCT
app01-8107	200	1	6	6	X
app01-8107	200	2	.	.	X
app01-8107	200	3	summary	summary	NOUN
app01-8107	200	4	in	in	ADP
app01-8107	200	5	this	this	DET
app01-8107	200	6	work	work	NOUN
app01-8107	200	7	,	,	PUNCT
app01-8107	200	8	we	we	PRON
app01-8107	200	9	investigated	investigate	VERB
app01-8107	200	10	twelve	twelve	NUM
app01-8107	200	11	variants	variant	NOUN
app01-8107	200	12	of	of	ADP
app01-8107	200	13	dual	dual	ADJ
app01-8107	200	14	and	and	CCONJ
app01-8107	200	15	dual	dual	ADJ
app01-8107	200	16	-	-	PUNCT
app01-8107	200	17	primal	primal	ADJ
app01-8107	200	18	domain	domain	NOUN
app01-8107	200	19	decomposition	decomposition	NOUN
app01-8107	200	20	methods	method	NOUN
app01-8107	200	21	with	with	ADP
app01-8107	200	22	particular	particular	ADJ
app01-8107	200	23	emphasis	emphasis	NOUN
app01-8107	200	24	on	on	ADP
app01-8107	200	25	applications	application	NOUN
app01-8107	200	26	to	to	ADP
app01-8107	200	27	highly	highly	ADV
app01-8107	200	28	heterogeneous	heterogeneous	ADJ
app01-8107	200	29	problems	problem	NOUN
app01-8107	200	30	with	with	ADP
app01-8107	200	31	predefined	predefine	VERB
app01-8107	200	32	partitioning	partitioning	NOUN
app01-8107	200	33	which	which	PRON
app01-8107	200	34	arise	arise	VERB
app01-8107	200	35	in	in	ADP
app01-8107	200	36	modular	modular	ADJ
app01-8107	200	37	topology	topology	NOUN
app01-8107	200	38	optimization	optimization	NOUN
app01-8107	200	39	problems	problem	NOUN
app01-8107	200	40	[	[	X
app01-8107	200	41	4	4	NUM
app01-8107	200	42	,	,	PUNCT
app01-8107	200	43	5	5	NUM
app01-8107	200	44	]	]	PUNCT
app01-8107	200	45	.	.	PUNCT
app01-8107	201	1	we	we	PRON
app01-8107	201	2	considered	consider	VERB
app01-8107	201	3	total	total	NOUN
app01-8107	201	4	-	-	PUNCT
app01-8107	201	5	feti	feti	NOUN
app01-8107	202	1	[	[	X
app01-8107	202	2	9	9	NUM
app01-8107	202	3	]	]	PUNCT
app01-8107	202	4	and	and	CCONJ
app01-8107	202	5	feti	feti	NOUN
app01-8107	202	6	-	-	ADJ
app01-8107	202	7	dp	dp	NOUN
app01-8107	203	1	[	[	NOUN
app01-8107	203	2	8	8	NUM
app01-8107	203	3	]	]	PUNCT
app01-8107	203	4	as	as	ADP
app01-8107	203	5	the	the	DET
app01-8107	203	6	base	base	NOUN
app01-8107	203	7	methods	method	NOUN
app01-8107	203	8	,	,	PUNCT
app01-8107	203	9	for	for	ADP
app01-8107	203	10	which	which	PRON
app01-8107	203	11	we	we	PRON
app01-8107	203	12	tested	test	VERB
app01-8107	203	13	two	two	NUM
app01-8107	203	14	scaling	scale	VERB
app01-8107	203	15	48	48	NUM
app01-8107	203	16	vol	vol	NOUN
app01-8107	203	17	.	.	PUNCT
app01-8107	204	1	34/2022	34/2022	NUM
app01-8107	204	2	feti	feti	PROPN
app01-8107	204	3	methods	method	NOUN
app01-8107	204	4	for	for	ADP
app01-8107	204	5	topology	topology	NOUN
app01-8107	204	6	optimization	optimization	NOUN
app01-8107	204	7	problems	problem	NOUN
app01-8107	204	8	approaches	approach	VERB
app01-8107	204	9	(	(	PUNCT
app01-8107	204	10	k	k	NOUN
app01-8107	204	11	-	-	ADJ
app01-8107	204	12	scaling	scaling	ADJ
app01-8107	204	13	and	and	CCONJ
app01-8107	204	14	multiplicity	multiplicity	NOUN
app01-8107	204	15	scaling	scaling	NOUN
app01-8107	204	16	)	)	PUNCT
app01-8107	204	17	,	,	PUNCT
app01-8107	204	18	full	full	ADJ
app01-8107	204	19	orthogonalization	orthogonalization	NOUN
app01-8107	204	20	,	,	PUNCT
app01-8107	204	21	and	and	CCONJ
app01-8107	204	22	simultaneous	simultaneous	ADJ
app01-8107	204	23	search	search	NOUN
app01-8107	204	24	directions	direction	NOUN
app01-8107	204	25	with	with	ADP
app01-8107	204	26	rank	rank	NOUN
app01-8107	204	27	-	-	PUNCT
app01-8107	204	28	revealing	reveal	VERB
app01-8107	204	29	decomposition	decomposition	NOUN
app01-8107	204	30	.	.	PUNCT
app01-8107	205	1	we	we	PRON
app01-8107	205	2	tested	test	VERB
app01-8107	205	3	the	the	DET
app01-8107	205	4	variants	variant	NOUN
app01-8107	205	5	on	on	ADP
app01-8107	205	6	two	two	NUM
app01-8107	205	7	suites	suite	NOUN
app01-8107	205	8	of	of	ADP
app01-8107	205	9	two	two	NUM
app01-8107	205	10	-	-	PUNCT
app01-8107	205	11	dimensional	dimensional	ADJ
app01-8107	205	12	elasticity	elasticity	NOUN
app01-8107	205	13	problems	problem	NOUN
app01-8107	205	14	:	:	PUNCT
app01-8107	205	15	first	first	ADJ
app01-8107	205	16	one	one	NUM
app01-8107	205	17	composed	compose	VERB
app01-8107	205	18	of	of	ADP
app01-8107	205	19	three	three	NUM
app01-8107	205	20	academic	academic	ADJ
app01-8107	205	21	problems	problem	NOUN
app01-8107	205	22	,	,	PUNCT
app01-8107	205	23	the	the	DET
app01-8107	205	24	second	second	ADJ
app01-8107	205	25	suite	suite	NOUN
app01-8107	205	26	comprising	comprise	VERB
app01-8107	205	27	snapshots	snapshot	NOUN
app01-8107	205	28	of	of	ADP
app01-8107	205	29	modular	modular	ADJ
app01-8107	205	30	topology	topology	NOUN
app01-8107	205	31	optimization	optimization	NOUN
app01-8107	205	32	.	.	PUNCT
app01-8107	206	1	all	all	DET
app01-8107	206	2	variants	variant	NOUN
app01-8107	206	3	were	be	AUX
app01-8107	206	4	compared	compare	VERB
app01-8107	206	5	in	in	ADP
app01-8107	206	6	terms	term	NOUN
app01-8107	206	7	of	of	ADP
app01-8107	206	8	the	the	DET
app01-8107	206	9	number	number	NOUN
app01-8107	206	10	of	of	ADP
app01-8107	206	11	iterations	iteration	NOUN
app01-8107	206	12	needed	need	VERB
app01-8107	206	13	to	to	PART
app01-8107	206	14	reach	reach	VERB
app01-8107	206	15	a	a	DET
app01-8107	206	16	desired	desire	VERB
app01-8107	206	17	residual	residual	ADJ
app01-8107	206	18	ϵ.	ϵ.	NOUN
app01-8107	206	19	we	we	PRON
app01-8107	206	20	are	be	AUX
app01-8107	206	21	aware	aware	ADJ
app01-8107	206	22	that	that	SCONJ
app01-8107	206	23	such	such	DET
app01-8107	206	24	a	a	DET
app01-8107	206	25	comparison	comparison	NOUN
app01-8107	206	26	does	do	AUX
app01-8107	206	27	not	not	PART
app01-8107	206	28	paint	paint	VERB
app01-8107	206	29	the	the	DET
app01-8107	206	30	whole	whole	ADJ
app01-8107	206	31	picture	picture	NOUN
app01-8107	206	32	and	and	CCONJ
app01-8107	206	33	comparing	compare	VERB
app01-8107	206	34	the	the	DET
app01-8107	206	35	total	total	ADJ
app01-8107	206	36	wall	wall	NOUN
app01-8107	206	37	-	-	PUNCT
app01-8107	206	38	clock	clock	NOUN
app01-8107	206	39	time	time	NOUN
app01-8107	206	40	would	would	AUX
app01-8107	206	41	be	be	AUX
app01-8107	206	42	optimal	optimal	ADJ
app01-8107	206	43	;	;	PUNCT
app01-8107	206	44	however	however	ADV
app01-8107	206	45	,	,	PUNCT
app01-8107	206	46	such	such	DET
app01-8107	206	47	a	a	DET
app01-8107	206	48	comparison	comparison	NOUN
app01-8107	206	49	would	would	AUX
app01-8107	206	50	be	be	AUX
app01-8107	206	51	heavily	heavily	ADV
app01-8107	206	52	biased	bias	VERB
app01-8107	206	53	by	by	ADP
app01-8107	206	54	the	the	DET
app01-8107	206	55	implementation	implementation	NOUN
app01-8107	206	56	and	and	CCONJ
app01-8107	206	57	available	available	ADJ
app01-8107	206	58	hardware	hardware	NOUN
app01-8107	206	59	.	.	PUNCT
app01-8107	207	1	based	base	VERB
app01-8107	207	2	on	on	ADP
app01-8107	207	3	our	our	PRON
app01-8107	207	4	results	result	NOUN
app01-8107	207	5	,	,	PUNCT
app01-8107	207	6	we	we	PRON
app01-8107	207	7	conclude	conclude	VERB
app01-8107	207	8	that	that	SCONJ
app01-8107	207	9	the	the	DET
app01-8107	207	10	k	k	NOUN
app01-8107	207	11	-	-	ADJ
app01-8107	207	12	scaling	scaling	NOUN
app01-8107	207	13	should	should	AUX
app01-8107	207	14	be	be	AUX
app01-8107	207	15	a	a	DET
app01-8107	207	16	default	default	NOUN
app01-8107	207	17	setting	setting	NOUN
app01-8107	207	18	when	when	SCONJ
app01-8107	207	19	dealing	deal	VERB
app01-8107	207	20	with	with	ADP
app01-8107	207	21	nonhomogeneous	nonhomogeneous	ADJ
app01-8107	207	22	problems	problem	NOUN
app01-8107	207	23	thanks	thank	NOUN
app01-8107	207	24	to	to	ADP
app01-8107	207	25	its	its	PRON
app01-8107	207	26	significant	significant	ADJ
app01-8107	207	27	impact	impact	NOUN
app01-8107	207	28	on	on	ADP
app01-8107	207	29	the	the	DET
app01-8107	207	30	convergence	convergence	NOUN
app01-8107	207	31	rate	rate	NOUN
app01-8107	207	32	and	and	CCONJ
app01-8107	207	33	negligible	negligible	ADJ
app01-8107	207	34	computational	computational	ADJ
app01-8107	207	35	overhead	overhead	NOUN
app01-8107	207	36	.	.	PUNCT
app01-8107	208	1	our	our	PRON
app01-8107	208	2	results	result	NOUN
app01-8107	208	3	also	also	ADV
app01-8107	208	4	show	show	VERB
app01-8107	208	5	that	that	SCONJ
app01-8107	208	6	the	the	DET
app01-8107	208	7	original	original	ADJ
app01-8107	208	8	formulations	formulation	NOUN
app01-8107	208	9	of	of	ADP
app01-8107	208	10	both	both	DET
app01-8107	208	11	t	t	PROPN
app01-8107	208	12	-	-	PUNCT
app01-8107	208	13	feti	feti	PROPN
app01-8107	208	14	and	and	CCONJ
app01-8107	208	15	feti	feti	PROPN
app01-8107	208	16	-	-	ADJ
app01-8107	208	17	dp	dp	NOUN
app01-8107	208	18	exhibit	exhibit	NOUN
app01-8107	208	19	very	very	ADV
app01-8107	208	20	slow	slow	ADJ
app01-8107	208	21	convergence	convergence	NOUN
app01-8107	208	22	in	in	ADP
app01-8107	208	23	the	the	DET
app01-8107	208	24	presence	presence	NOUN
app01-8107	208	25	of	of	ADP
app01-8107	208	26	severe	severe	ADJ
app01-8107	208	27	heterogeneity	heterogeneity	NOUN
app01-8107	208	28	in	in	ADP
app01-8107	208	29	stiffness	stiffness	ADJ
app01-8107	208	30	coefficients	coefficient	NOUN
app01-8107	208	31	and	and	CCONJ
app01-8107	208	32	hence	hence	ADV
app01-8107	208	33	performance	performance	NOUN
app01-8107	208	34	enhancements	enhancement	NOUN
app01-8107	208	35	are	be	AUX
app01-8107	208	36	needed	need	VERB
app01-8107	208	37	.	.	PUNCT
app01-8107	209	1	the	the	DET
app01-8107	209	2	simultaneous	simultaneous	ADJ
app01-8107	209	3	search	search	NOUN
app01-8107	209	4	directions	direction	NOUN
app01-8107	209	5	with	with	ADP
app01-8107	209	6	the	the	DET
app01-8107	209	7	rank	rank	NOUN
app01-8107	209	8	-	-	PUNCT
app01-8107	209	9	revealing	reveal	VERB
app01-8107	209	10	cholesky	cholesky	ADJ
app01-8107	209	11	decomposition	decomposition	NOUN
app01-8107	209	12	reduced	reduce	VERB
app01-8107	209	13	the	the	DET
app01-8107	209	14	number	number	NOUN
app01-8107	209	15	of	of	ADP
app01-8107	209	16	needed	need	VERB
app01-8107	209	17	iterations	iteration	NOUN
app01-8107	209	18	the	the	DET
app01-8107	209	19	most	most	ADJ
app01-8107	209	20	and	and	CCONJ
app01-8107	209	21	should	should	AUX
app01-8107	209	22	be	be	AUX
app01-8107	209	23	therefore	therefore	ADV
app01-8107	209	24	preferred	prefer	VERB
app01-8107	209	25	to	to	ADP
app01-8107	209	26	full	full	ADJ
app01-8107	209	27	orthogonalization	orthogonalization	NOUN
app01-8107	209	28	alone	alone	ADV
app01-8107	209	29	.	.	PUNCT
app01-8107	210	1	finally	finally	ADV
app01-8107	210	2	,	,	PUNCT
app01-8107	210	3	feti	feti	PROPN
app01-8107	210	4	-	-	PUNCT
app01-8107	210	5	dp	dp	NOUN
app01-8107	210	6	proved	prove	VERB
app01-8107	210	7	to	to	PART
app01-8107	210	8	be	be	AUX
app01-8107	210	9	more	more	ADV
app01-8107	210	10	robust	robust	ADJ
app01-8107	210	11	than	than	ADP
app01-8107	210	12	t	t	NOUN
app01-8107	210	13	-	-	PUNCT
app01-8107	210	14	feti	feti	PROPN
app01-8107	210	15	as	as	SCONJ
app01-8107	210	16	it	it	PRON
app01-8107	210	17	was	be	AUX
app01-8107	210	18	the	the	DET
app01-8107	210	19	only	only	ADJ
app01-8107	210	20	method	method	NOUN
app01-8107	210	21	capable	capable	ADJ
app01-8107	210	22	of	of	ADP
app01-8107	210	23	reaching	reach	VERB
app01-8107	210	24	the	the	DET
app01-8107	210	25	desired	desire	VERB
app01-8107	210	26	residual	residual	NOUN
app01-8107	210	27	in	in	ADP
app01-8107	210	28	all	all	DET
app01-8107	210	29	test	test	NOUN
app01-8107	210	30	problems	problem	NOUN
app01-8107	210	31	.	.	PUNCT
app01-8107	211	1	following	follow	VERB
app01-8107	211	2	these	these	DET
app01-8107	211	3	conclusions	conclusion	NOUN
app01-8107	211	4	,	,	PUNCT
app01-8107	211	5	our	our	PRON
app01-8107	211	6	current	current	ADJ
app01-8107	211	7	research	research	NOUN
app01-8107	211	8	interest	interest	NOUN
app01-8107	211	9	lies	lie	VERB
app01-8107	211	10	in	in	ADP
app01-8107	211	11	(	(	PUNCT
app01-8107	211	12	i	i	NOUN
app01-8107	211	13	)	)	PUNCT
app01-8107	211	14	an	an	DET
app01-8107	211	15	adaptive	adaptive	ADJ
app01-8107	211	16	choice	choice	NOUN
app01-8107	211	17	of	of	ADP
app01-8107	211	18	the	the	DET
app01-8107	211	19	nodes	node	NOUN
app01-8107	211	20	whose	whose	DET
app01-8107	211	21	compatibility	compatibility	NOUN
app01-8107	211	22	should	should	AUX
app01-8107	211	23	be	be	AUX
app01-8107	211	24	enforced	enforce	VERB
app01-8107	211	25	directly	directly	ADV
app01-8107	211	26	in	in	ADP
app01-8107	211	27	primal	primal	ADJ
app01-8107	211	28	variables	variable	NOUN
app01-8107	211	29	(	(	PUNCT
app01-8107	211	30	i.e.	i.e.	X
app01-8107	211	31	,	,	PUNCT
app01-8107	211	32	not	not	PART
app01-8107	211	33	necessarily	necessarily	ADV
app01-8107	211	34	choosing	choose	VERB
app01-8107	211	35	only	only	ADV
app01-8107	211	36	the	the	DET
app01-8107	211	37	corner	corner	NOUN
app01-8107	211	38	nodes	node	NOUN
app01-8107	211	39	for	for	ADP
app01-8107	211	40	the	the	DET
app01-8107	211	41	primal	primal	ADJ
app01-8107	211	42	part	part	NOUN
app01-8107	211	43	of	of	ADP
app01-8107	211	44	feti	feti	PROPN
app01-8107	211	45	-	-	ADJ
app01-8107	211	46	dp	dp	NOUN
app01-8107	211	47	)	)	PUNCT
app01-8107	211	48	and	and	CCONJ
app01-8107	211	49	(	(	PUNCT
app01-8107	211	50	ii	ii	NOUN
app01-8107	211	51	)	)	PUNCT
app01-8107	211	52	identification	identification	NOUN
app01-8107	211	53	of	of	ADP
app01-8107	211	54	boundary	boundary	ADJ
app01-8107	211	55	modes	mode	NOUN
app01-8107	211	56	responsible	responsible	ADJ
app01-8107	211	57	for	for	ADP
app01-8107	211	58	the	the	DET
app01-8107	211	59	bad	bad	ADJ
app01-8107	211	60	convergence	convergence	NOUN
app01-8107	211	61	and	and	CCONJ
app01-8107	211	62	eliminating	eliminating	NOUN
app01-8107	211	63	from	from	ADP
app01-8107	211	64	the	the	DET
app01-8107	211	65	iterative	iterative	NOUN
app01-8107	211	66	process	process	NOUN
app01-8107	211	67	in	in	ADP
app01-8107	211	68	the	the	DET
app01-8107	211	69	spirit	spirit	NOUN
app01-8107	211	70	of	of	ADP
app01-8107	211	71	[	[	X
app01-8107	211	72	14	14	NUM
app01-8107	211	73	]	]	PUNCT
app01-8107	211	74	.	.	PUNCT
app01-8107	212	1	acknowledgements	acknowledgement	NOUN
app01-8107	212	2	the	the	DET
app01-8107	212	3	authors	author	NOUN
app01-8107	212	4	would	would	AUX
app01-8107	212	5	like	like	VERB
app01-8107	212	6	to	to	PART
app01-8107	212	7	thank	thank	VERB
app01-8107	212	8	prof	prof	PROPN
app01-8107	212	9	.	.	PUNCT
app01-8107	213	1	jaroslav	jaroslav	PROPN
app01-8107	213	2	kruis	kruis	PROPN
app01-8107	213	3	and	and	CCONJ
app01-8107	213	4	dr	dr	PROPN
app01-8107	213	5	.	.	PROPN
app01-8107	213	6	petr	petr	PROPN
app01-8107	213	7	mayer	mayer	PROPN
app01-8107	213	8	,	,	PUNCT
app01-8107	213	9	both	both	CCONJ
app01-8107	213	10	from	from	ADP
app01-8107	213	11	the	the	DET
app01-8107	213	12	czech	czech	PROPN
app01-8107	213	13	technical	technical	PROPN
app01-8107	213	14	university	university	PROPN
app01-8107	213	15	in	in	ADP
app01-8107	213	16	prague	prague	PROPN
app01-8107	213	17	,	,	PUNCT
app01-8107	213	18	for	for	ADP
app01-8107	213	19	invaluable	invaluable	ADJ
app01-8107	213	20	discussions	discussion	NOUN
app01-8107	213	21	and	and	CCONJ
app01-8107	213	22	suggestions	suggestion	NOUN
app01-8107	213	23	.	.	PUNCT
app01-8107	214	1	tm	tm	PROPN
app01-8107	214	2	,	,	PUNCT
app01-8107	214	3	md	md	PROPN
app01-8107	214	4	,	,	PUNCT
app01-8107	214	5	and	and	CCONJ
app01-8107	214	6	jz	jz	PROPN
app01-8107	214	7	acknowledge	acknowledge	VERB
app01-8107	214	8	support	support	NOUN
app01-8107	214	9	by	by	ADP
app01-8107	214	10	the	the	DET
app01-8107	214	11	czech	czech	PROPN
app01-8107	214	12	science	science	PROPN
app01-8107	214	13	foundation	foundation	PROPN
app01-8107	214	14	,	,	PUNCT
app01-8107	214	15	project	project	VERB
app01-8107	214	16	no	no	NOUN
app01-8107	214	17	.	.	NOUN
app01-8107	214	18	19	19	NUM
app01-8107	214	19	-	-	PUNCT
app01-8107	214	20	26143x	26143x	NUM
app01-8107	214	21	.	.	PUNCT
app01-8107	215	1	ip	ip	PROPN
app01-8107	215	2	acknowledges	acknowledge	VERB
app01-8107	215	3	the	the	DET
app01-8107	215	4	support	support	NOUN
app01-8107	215	5	by	by	ADP
app01-8107	215	6	the	the	DET
app01-8107	215	7	center	center	NOUN
app01-8107	215	8	of	of	ADP
app01-8107	215	9	advanced	advanced	ADJ
app01-8107	215	10	applied	apply	VERB
app01-8107	215	11	sciences	science	NOUN
app01-8107	215	12	,	,	PUNCT
app01-8107	215	13	the	the	DET
app01-8107	215	14	european	european	PROPN
app01-8107	215	15	regional	regional	PROPN
app01-8107	215	16	development	development	PROPN
app01-8107	215	17	fund	fund	PROPN
app01-8107	215	18	,	,	PUNCT
app01-8107	215	19	project	project	NOUN
app01-8107	215	20	no	no	INTJ
app01-8107	215	21	.	.	PUNCT
app01-8107	216	1	cz	cz	NOUN
app01-8107	216	2	02.1.01/0.0/0.0/16	02.1.01/0.0/0.0/16	NOUN
app01-8107	216	3	019/0000778	019/0000778	NUM
app01-8107	216	4	.	.	PUNCT
app01-8107	217	1	references	reference	NOUN
app01-8107	217	2	[	[	X
app01-8107	217	3	1	1	NUM
app01-8107	217	4	]	]	PUNCT
app01-8107	217	5	m.	m.	NOUN
app01-8107	217	6	p.	p.	PROPN
app01-8107	217	7	bendsøe	bendsøe	PROPN
app01-8107	217	8	,	,	PUNCT
app01-8107	217	9	o.	o.	PROPN
app01-8107	217	10	sigmund	sigmund	NOUN
app01-8107	217	11	.	.	PUNCT
app01-8107	218	1	topology	topology	NOUN
app01-8107	218	2	optimization	optimization	NOUN
app01-8107	218	3	.	.	PUNCT
app01-8107	219	1	springer	springer	PROPN
app01-8107	219	2	berlin	berlin	PROPN
app01-8107	219	3	heidelberg	heidelberg	PROPN
app01-8107	219	4	,	,	PUNCT
app01-8107	219	5	berlin	berlin	PROPN
app01-8107	219	6	,	,	PUNCT
app01-8107	219	7	heidelberg	heidelberg	PROPN
app01-8107	219	8	,	,	PUNCT
app01-8107	219	9	2004	2004	NUM
app01-8107	219	10	.	.	PUNCT
app01-8107	220	1	https://doi.org/10.1007/978-3-662-05086-6	https://doi.org/10.1007/978-3-662-05086-6	PROPN
app01-8107	220	2	.	.	PUNCT
app01-8107	221	1	[	[	X
app01-8107	221	2	2	2	NUM
app01-8107	221	3	]	]	X
app01-8107	221	4	n.	n.	NOUN
app01-8107	221	5	aage	aage	PROPN
app01-8107	221	6	,	,	PUNCT
app01-8107	221	7	e.	e.	PROPN
app01-8107	221	8	andreassen	andreassen	PROPN
app01-8107	221	9	,	,	PUNCT
app01-8107	221	10	b.	b.	PROPN
app01-8107	221	11	s.	s.	PROPN
app01-8107	221	12	lazarov	lazarov	PROPN
app01-8107	221	13	,	,	PUNCT
app01-8107	221	14	o.	o.	PROPN
app01-8107	221	15	sigmund	sigmund	NOUN
app01-8107	221	16	.	.	PUNCT
app01-8107	222	1	giga	giga	PROPN
app01-8107	222	2	-	-	PUNCT
app01-8107	222	3	voxel	voxel	ADJ
app01-8107	222	4	computational	computational	ADJ
app01-8107	222	5	morphogenesis	morphogenesis	NOUN
app01-8107	222	6	for	for	ADP
app01-8107	222	7	structural	structural	ADJ
app01-8107	222	8	design	design	NOUN
app01-8107	222	9	.	.	PUNCT
app01-8107	223	1	nature	nature	NOUN
app01-8107	223	2	550(7674):84–86	550(7674):84–86	VERB
app01-8107	223	3	,	,	PUNCT
app01-8107	223	4	2017	2017	NUM
app01-8107	223	5	.	.	PUNCT
app01-8107	224	1	https://doi.org/10.1038/nature23911	https://doi.org/10.1038/nature23911	PROPN
app01-8107	224	2	.	.	PUNCT
app01-8107	225	1	[	[	X
app01-8107	225	2	3	3	X
app01-8107	225	3	]	]	PUNCT
app01-8107	225	4	s.	s.	PROPN
app01-8107	225	5	arul	arul	PROPN
app01-8107	225	6	,	,	PUNCT
app01-8107	225	7	t.	t.	PROPN
app01-8107	225	8	brzobohatý	brzobohatý	PROPN
app01-8107	225	9	,	,	PUNCT
app01-8107	225	10	t.	t.	PROPN
app01-8107	225	11	kozubek	kozubek	PROPN
app01-8107	225	12	.	.	PUNCT
app01-8107	226	1	feti	feti	PROPN
app01-8107	226	2	based	base	VERB
app01-8107	226	3	domain	domain	NOUN
app01-8107	226	4	decomposition	decomposition	NOUN
app01-8107	226	5	methods	method	NOUN
app01-8107	226	6	for	for	ADP
app01-8107	226	7	large	large	ADJ
app01-8107	226	8	-	-	PUNCT
app01-8107	226	9	scale	scale	NOUN
app01-8107	226	10	topology	topology	NOUN
app01-8107	226	11	optimization	optimization	NOUN
app01-8107	226	12	.	.	PUNCT
app01-8107	227	1	in	in	ADP
app01-8107	227	2	aip	aip	PROPN
app01-8107	227	3	conference	conference	NOUN
app01-8107	227	4	proceedings	proceeding	NOUN
app01-8107	227	5	,	,	PUNCT
app01-8107	227	6	p.	p.	NOUN
app01-8107	227	7	330002	330002	NUM
app01-8107	227	8	.	.	PUNCT
app01-8107	228	1	rhodes	rhodes	PROPN
app01-8107	228	2	,	,	PUNCT
app01-8107	228	3	greece	greece	PROPN
app01-8107	228	4	,	,	PUNCT
app01-8107	228	5	2020	2020	NUM
app01-8107	228	6	.	.	PUNCT
app01-8107	229	1	https://doi.org/10.1063/5.0026486	https://doi.org/10.1063/5.0026486	PROPN
app01-8107	229	2	.	.	PUNCT
app01-8107	230	1	[	[	X
app01-8107	230	2	4	4	NUM
app01-8107	230	3	]	]	PUNCT
app01-8107	230	4	m.	m.	NOUN
app01-8107	230	5	tyburec	tyburec	NOUN
app01-8107	230	6	,	,	PUNCT
app01-8107	230	7	j.	j.	PROPN
app01-8107	230	8	zeman	zeman	PROPN
app01-8107	230	9	,	,	PUNCT
app01-8107	230	10	m.	m.	PROPN
app01-8107	230	11	doškář	doškář	PROPN
app01-8107	230	12	,	,	PUNCT
app01-8107	230	13	et	et	PROPN
app01-8107	231	1	al	al	PROPN
app01-8107	231	2	.	.	PUNCT
app01-8107	231	3	modular	modular	ADJ
app01-8107	231	4	-	-	PUNCT
app01-8107	231	5	topology	topology	NOUN
app01-8107	231	6	optimization	optimization	NOUN
app01-8107	231	7	with	with	ADP
app01-8107	231	8	wang	wang	PROPN
app01-8107	231	9	tilings	tilings	PROPN
app01-8107	231	10	:	:	PUNCT
app01-8107	231	11	an	an	DET
app01-8107	231	12	application	application	NOUN
app01-8107	231	13	to	to	ADP
app01-8107	231	14	truss	truss	ADJ
app01-8107	231	15	structures	structure	NOUN
app01-8107	231	16	.	.	PUNCT
app01-8107	232	1	structural	structural	ADJ
app01-8107	232	2	and	and	CCONJ
app01-8107	232	3	multidisciplinary	multidisciplinary	ADJ
app01-8107	232	4	optimization	optimization	NOUN
app01-8107	232	5	63:1–19	63:1–19	NOUN
app01-8107	232	6	,	,	PUNCT
app01-8107	232	7	2021	2021	NUM
app01-8107	232	8	.	.	PUNCT
app01-8107	233	1	https://doi.org/10.1007/s00158-020-02744-8	https://doi.org/10.1007/s00158-020-02744-8	NUM
app01-8107	233	2	.	.	PUNCT
app01-8107	234	1	[	[	X
app01-8107	234	2	5	5	NUM
app01-8107	234	3	]	]	PUNCT
app01-8107	234	4	m.	m.	NOUN
app01-8107	234	5	tyburec	tyburec	NOUN
app01-8107	234	6	,	,	PUNCT
app01-8107	234	7	m.	m.	NOUN
app01-8107	234	8	doškář	doškář	PROPN
app01-8107	234	9	,	,	PUNCT
app01-8107	234	10	j.	j.	PROPN
app01-8107	234	11	zeman	zeman	PROPN
app01-8107	234	12	,	,	PUNCT
app01-8107	234	13	m.	m.	NOUN
app01-8107	234	14	kružík	kružík	PROPN
app01-8107	234	15	.	.	PUNCT
app01-8107	235	1	modular	modular	ADJ
app01-8107	235	2	-	-	PUNCT
app01-8107	235	3	topology	topology	NOUN
app01-8107	235	4	optimization	optimization	NOUN
app01-8107	235	5	of	of	ADP
app01-8107	235	6	structures	structure	NOUN
app01-8107	235	7	and	and	CCONJ
app01-8107	235	8	mechanisms	mechanism	NOUN
app01-8107	235	9	with	with	ADP
app01-8107	235	10	free	free	ADJ
app01-8107	235	11	material	material	NOUN
app01-8107	235	12	design	design	NOUN
app01-8107	235	13	and	and	CCONJ
app01-8107	235	14	clustering	clustering	NOUN
app01-8107	235	15	,	,	PUNCT
app01-8107	235	16	2021	2021	NUM
app01-8107	235	17	.	.	PUNCT
app01-8107	236	1	prerint	prerint	NOUN
app01-8107	236	2	,	,	PUNCT
app01-8107	236	3	2111.10439	2111.10439	NUM
app01-8107	236	4	.	.	PUNCT
app01-8107	237	1	[	[	X
app01-8107	237	2	6	6	NUM
app01-8107	237	3	]	]	PUNCT
app01-8107	237	4	j.	j.	PROPN
app01-8107	237	5	kruis	kruis	PROPN
app01-8107	237	6	.	.	PUNCT
app01-8107	237	7	domain	domain	NOUN
app01-8107	237	8	decomposition	decomposition	NOUN
app01-8107	237	9	methods	method	NOUN
app01-8107	237	10	for	for	ADP
app01-8107	237	11	distributed	distributed	ADJ
app01-8107	237	12	computing	computing	NOUN
app01-8107	237	13	.	.	PUNCT
app01-8107	238	1	saxe	saxe	PROPN
app01-8107	238	2	-	-	PUNCT
app01-8107	238	3	coburg	coburg	PROPN
app01-8107	238	4	publications	publication	NOUN
app01-8107	238	5	on	on	ADP
app01-8107	238	6	computational	computational	ADJ
app01-8107	238	7	engineering	engineering	NOUN
app01-8107	238	8	.	.	PUNCT
app01-8107	239	1	saxe	saxe	PROPN
app01-8107	239	2	-	-	PUNCT
app01-8107	239	3	coburg	coburg	PROPN
app01-8107	239	4	publications	publication	NOUN
app01-8107	239	5	,	,	PUNCT
app01-8107	239	6	stirling	stirling	PROPN
app01-8107	239	7	,	,	PUNCT
app01-8107	239	8	scotland	scotland	PROPN
app01-8107	239	9	,	,	PUNCT
app01-8107	239	10	2006	2006	NUM
app01-8107	240	1	.	.	PUNCT
app01-8107	241	1	[	[	X
app01-8107	241	2	7	7	X
app01-8107	241	3	]	]	X
app01-8107	241	4	c.	c.	PROPN
app01-8107	241	5	farhat	farhat	PROPN
app01-8107	241	6	,	,	PUNCT
app01-8107	241	7	f.-x	f.-x	PROPN
app01-8107	241	8	.	.	PUNCT
app01-8107	241	9	roux	roux	NOUN
app01-8107	241	10	.	.	PUNCT
app01-8107	242	1	a	a	DET
app01-8107	242	2	method	method	NOUN
app01-8107	242	3	of	of	ADP
app01-8107	242	4	finite	finite	ADJ
app01-8107	242	5	element	element	NOUN
app01-8107	242	6	tearing	tear	VERB
app01-8107	242	7	and	and	CCONJ
app01-8107	242	8	interconnecting	interconnecting	NOUN
app01-8107	242	9	and	and	CCONJ
app01-8107	242	10	its	its	PRON
app01-8107	242	11	parallel	parallel	ADJ
app01-8107	242	12	solution	solution	NOUN
app01-8107	242	13	algorithm	algorithm	NOUN
app01-8107	242	14	.	.	PUNCT
app01-8107	243	1	international	international	ADJ
app01-8107	243	2	journal	journal	PROPN
app01-8107	243	3	for	for	ADP
app01-8107	243	4	numerical	numerical	ADJ
app01-8107	243	5	methods	method	NOUN
app01-8107	243	6	in	in	ADP
app01-8107	243	7	engineering	engineer	VERB
app01-8107	243	8	32(6):1205–1227	32(6):1205–1227	NUM
app01-8107	243	9	,	,	PUNCT
app01-8107	243	10	1991	1991	NUM
app01-8107	243	11	.	.	PUNCT
app01-8107	244	1	https://doi.org/10.1002/nme.1620320604	https://doi.org/10.1002/nme.1620320604	PROPN
app01-8107	244	2	.	.	PUNCT
app01-8107	245	1	[	[	X
app01-8107	245	2	8	8	NUM
app01-8107	245	3	]	]	X
app01-8107	245	4	c.	c.	PROPN
app01-8107	245	5	farhat	farhat	PROPN
app01-8107	245	6	,	,	PUNCT
app01-8107	245	7	m.	m.	NOUN
app01-8107	245	8	lesoinne	lesoinne	PROPN
app01-8107	245	9	,	,	PUNCT
app01-8107	245	10	p.	p.	NOUN
app01-8107	245	11	letallec	letallec	NOUN
app01-8107	245	12	,	,	PUNCT
app01-8107	245	13	et	et	PROPN
app01-8107	245	14	al	al	PROPN
app01-8107	245	15	.	.	PUNCT
app01-8107	245	16	feti	feti	PROPN
app01-8107	245	17	-	-	PUNCT
app01-8107	245	18	dp	dp	NOUN
app01-8107	245	19	:	:	PUNCT
app01-8107	245	20	a	a	DET
app01-8107	245	21	dual	dual	ADJ
app01-8107	245	22	-	-	PUNCT
app01-8107	245	23	primal	primal	ADJ
app01-8107	245	24	unified	unified	ADJ
app01-8107	245	25	feti	feti	PROPN
app01-8107	245	26	method	method	NOUN
app01-8107	245	27	–	–	PUNCT
app01-8107	245	28	part	part	NOUN
app01-8107	246	1	i	i	NOUN
app01-8107	246	2	:	:	PUNCT
app01-8107	246	3	a	a	DET
app01-8107	246	4	faster	fast	ADJ
app01-8107	246	5	alternative	alternative	NOUN
app01-8107	246	6	to	to	ADP
app01-8107	246	7	the	the	DET
app01-8107	246	8	two	two	NUM
app01-8107	246	9	-	-	PUNCT
app01-8107	246	10	level	level	NOUN
app01-8107	246	11	feti	feti	PROPN
app01-8107	246	12	method	method	NOUN
app01-8107	246	13	.	.	PUNCT
app01-8107	247	1	international	international	ADJ
app01-8107	247	2	journal	journal	PROPN
app01-8107	247	3	for	for	ADP
app01-8107	247	4	numerical	numerical	ADJ
app01-8107	247	5	methods	method	NOUN
app01-8107	247	6	in	in	ADP
app01-8107	247	7	engineering	engineer	VERB
app01-8107	247	8	50(7):1523–1544	50(7):1523–1544	NUM
app01-8107	247	9	,	,	PUNCT
app01-8107	247	10	2001	2001	NUM
app01-8107	247	11	.	.	PUNCT
app01-8107	248	1	https://doi.org/10.1002/nme.76	https://doi.org/10.1002/nme.76	X
app01-8107	248	2	.	.	PUNCT
app01-8107	249	1	[	[	X
app01-8107	249	2	9	9	NUM
app01-8107	249	3	]	]	PUNCT
app01-8107	249	4	t.	t.	PROPN
app01-8107	249	5	kozubek	kozubek	PROPN
app01-8107	249	6	,	,	PUNCT
app01-8107	249	7	v.	v.	PROPN
app01-8107	249	8	vondrák	vondrák	PROPN
app01-8107	249	9	,	,	PUNCT
app01-8107	249	10	m.	m.	NOUN
app01-8107	249	11	menšík	menšík	PROPN
app01-8107	249	12	,	,	PUNCT
app01-8107	249	13	et	et	PROPN
app01-8107	249	14	al	al	PROPN
app01-8107	249	15	.	.	PROPN
app01-8107	249	16	total	total	PROPN
app01-8107	249	17	feti	feti	PROPN
app01-8107	249	18	domain	domain	NOUN
app01-8107	249	19	decomposition	decomposition	NOUN
app01-8107	249	20	method	method	NOUN
app01-8107	249	21	and	and	CCONJ
app01-8107	249	22	its	its	PRON
app01-8107	249	23	massively	massively	ADV
app01-8107	249	24	parallel	parallel	ADJ
app01-8107	249	25	implementation	implementation	NOUN
app01-8107	249	26	.	.	PUNCT
app01-8107	250	1	advances	advance	NOUN
app01-8107	250	2	in	in	ADP
app01-8107	250	3	engineering	engineering	NOUN
app01-8107	250	4	software	software	NOUN
app01-8107	250	5	60	60	NUM
app01-8107	250	6	-	-	PUNCT
app01-8107	250	7	61:14–22	61:14–22	NUM
app01-8107	250	8	,	,	PUNCT
app01-8107	250	9	2013	2013	NUM
app01-8107	250	10	.	.	PUNCT
app01-8107	251	1	https://doi.org/10.1016/j.advengsoft.2013.04.001	https://doi.org/10.1016/j.advengsoft.2013.04.001	NOUN
app01-8107	251	2	.	.	PUNCT
app01-8107	252	1	[	[	X
app01-8107	252	2	10	10	NUM
app01-8107	252	3	]	]	PUNCT
app01-8107	252	4	z.	z.	PROPN
app01-8107	252	5	dostál	dostál	PROPN
app01-8107	252	6	,	,	PUNCT
app01-8107	252	7	d.	d.	PROPN
app01-8107	252	8	horák	horák	PROPN
app01-8107	252	9	,	,	PUNCT
app01-8107	252	10	r.	r.	PROPN
app01-8107	252	11	kučera	kučera	PROPN
app01-8107	252	12	.	.	PUNCT
app01-8107	253	1	total	total	ADJ
app01-8107	253	2	feti	feti	NOUN
app01-8107	253	3	-	-	PUNCT
app01-8107	253	4	an	an	DET
app01-8107	253	5	easier	easy	ADJ
app01-8107	253	6	implementable	implementable	ADJ
app01-8107	253	7	variant	variant	NOUN
app01-8107	253	8	of	of	ADP
app01-8107	253	9	the	the	DET
app01-8107	253	10	feti	feti	PROPN
app01-8107	253	11	method	method	PROPN
app01-8107	253	12	for	for	ADP
app01-8107	253	13	numerical	numerical	ADJ
app01-8107	253	14	solution	solution	NOUN
app01-8107	253	15	of	of	ADP
app01-8107	253	16	elliptic	elliptic	ADJ
app01-8107	253	17	pde	pde	NOUN
app01-8107	253	18	.	.	PUNCT
app01-8107	254	1	communications	communication	NOUN
app01-8107	254	2	in	in	ADP
app01-8107	254	3	numerical	numerical	ADJ
app01-8107	254	4	methods	method	NOUN
app01-8107	254	5	in	in	ADP
app01-8107	254	6	engineering	engineer	VERB
app01-8107	254	7	22(12):1155–1162	22(12):1155–1162	NUM
app01-8107	254	8	,	,	PUNCT
app01-8107	254	9	2006	2006	NUM
app01-8107	254	10	.	.	PUNCT
app01-8107	255	1	https://doi.org/10.1002/cnm.881	https://doi.org/10.1002/cnm.881	NOUN
app01-8107	255	2	.	.	PUNCT
app01-8107	256	1	[	[	X
app01-8107	256	2	11	11	NUM
app01-8107	256	3	]	]	PUNCT
app01-8107	256	4	p.	p.	NOUN
app01-8107	256	5	gosselet	gosselet	NOUN
app01-8107	256	6	,	,	PUNCT
app01-8107	256	7	d.	d.	PROPN
app01-8107	256	8	rixen	rixen	PROPN
app01-8107	256	9	,	,	PUNCT
app01-8107	256	10	f.-x	f.-x	PROPN
app01-8107	256	11	.	.	PUNCT
app01-8107	256	12	roux	roux	NOUN
app01-8107	256	13	,	,	PUNCT
app01-8107	256	14	n.	n.	PROPN
app01-8107	256	15	spillane	spillane	PROPN
app01-8107	256	16	.	.	PUNCT
app01-8107	257	1	simultaneous	simultaneous	ADJ
app01-8107	257	2	feti	feti	PROPN
app01-8107	257	3	and	and	CCONJ
app01-8107	257	4	block	block	VERB
app01-8107	257	5	feti	feti	PROPN
app01-8107	257	6	:	:	PUNCT
app01-8107	257	7	robust	robust	ADJ
app01-8107	257	8	domain	domain	NOUN
app01-8107	257	9	decomposition	decomposition	NOUN
app01-8107	257	10	with	with	ADP
app01-8107	257	11	multiple	multiple	ADJ
app01-8107	257	12	search	search	NOUN
app01-8107	257	13	directions	direction	NOUN
app01-8107	257	14	.	.	PUNCT
app01-8107	258	1	international	international	ADJ
app01-8107	258	2	journal	journal	PROPN
app01-8107	258	3	for	for	ADP
app01-8107	258	4	numerical	numerical	ADJ
app01-8107	258	5	methods	method	NOUN
app01-8107	258	6	in	in	ADP
app01-8107	258	7	engineering	engineer	VERB
app01-8107	258	8	104(10):905–927	104(10):905–927	NUM
app01-8107	258	9	,	,	PUNCT
app01-8107	258	10	2015	2015	NUM
app01-8107	258	11	.	.	PUNCT
app01-8107	259	1	https://doi.org/10.1002/nme.4946	https://doi.org/10.1002/nme.4946	PROPN
app01-8107	259	2	.	.	PUNCT
app01-8107	260	1	[	[	X
app01-8107	260	2	12	12	NUM
app01-8107	260	3	]	]	X
app01-8107	260	4	d.	d.	PROPN
app01-8107	260	5	j.	j.	PROPN
app01-8107	260	6	rixen	rixen	PROPN
app01-8107	260	7	,	,	PUNCT
app01-8107	260	8	c.	c.	PROPN
app01-8107	260	9	farhat	farhat	PROPN
app01-8107	260	10	.	.	PUNCT
app01-8107	261	1	a	a	DET
app01-8107	261	2	simple	simple	ADJ
app01-8107	261	3	and	and	CCONJ
app01-8107	261	4	efficient	efficient	ADJ
app01-8107	261	5	extension	extension	NOUN
app01-8107	261	6	of	of	ADP
app01-8107	261	7	a	a	DET
app01-8107	261	8	class	class	NOUN
app01-8107	261	9	of	of	ADP
app01-8107	261	10	substructure	substructure	NOUN
app01-8107	261	11	based	base	VERB
app01-8107	261	12	preconditioners	preconditioner	NOUN
app01-8107	261	13	to	to	ADP
app01-8107	261	14	heterogeneous	heterogeneous	ADJ
app01-8107	261	15	structural	structural	ADJ
app01-8107	261	16	mechanics	mechanic	NOUN
app01-8107	261	17	problems	problem	NOUN
app01-8107	261	18	.	.	PUNCT
app01-8107	262	1	international	international	ADJ
app01-8107	262	2	journal	journal	PROPN
app01-8107	262	3	for	for	ADP
app01-8107	262	4	numerical	numerical	ADJ
app01-8107	262	5	methods	method	NOUN
app01-8107	262	6	in	in	ADP
app01-8107	262	7	engineering	engineer	VERB
app01-8107	262	8	44(4):489–516	44(4):489–516	PROPN
app01-8107	262	9	,	,	PUNCT
app01-8107	262	10	1999	1999	NUM
app01-8107	262	11	.	.	PUNCT
app01-8107	263	1	https://doi.org/10.1002/(sici)1097-0207	https://doi.org/10.1002/(sici)1097-0207	PROPN
app01-8107	263	2	(	(	PUNCT
app01-8107	263	3	19990210)44:4<489::aid	19990210)44:4<489::aid	ADJ
app01-8107	263	4	-	-	ADJ
app01-8107	263	5	nme514>3.0.co;2	nme514>3.0.co;2	NOUN
app01-8107	263	6	-	-	PUNCT
app01-8107	263	7	z.	z.	NOUN
app01-8107	264	1	[	[	X
app01-8107	264	2	13	13	NUM
app01-8107	264	3	]	]	PUNCT
app01-8107	264	4	l.	l.	PROPN
app01-8107	264	5	bastos	bastos	PROPN
app01-8107	264	6	,	,	PUNCT
app01-8107	264	7	a.	a.	NOUN
app01-8107	264	8	hagan	hagan	NOUN
app01-8107	264	9	.	.	PUNCT
app01-8107	265	1	pivoting	pivot	VERB
app01-8107	265	2	cholesky	cholesky	ADJ
app01-8107	265	3	decomposition	decomposition	NOUN
app01-8107	265	4	applied	apply	VERB
app01-8107	265	5	to	to	ADP
app01-8107	265	6	emulation	emulation	NOUN
app01-8107	265	7	and	and	CCONJ
app01-8107	265	8	validation	validation	NOUN
app01-8107	265	9	of	of	ADP
app01-8107	265	10	computer	computer	NOUN
app01-8107	265	11	models	model	NOUN
app01-8107	265	12	.	.	PUNCT
app01-8107	266	1	tech	tech	NOUN
app01-8107	266	2	.	.	PUNCT
app01-8107	267	1	rep	rep	PROPN
app01-8107	267	2	.	.	PROPN
app01-8107	267	3	,	,	PUNCT
app01-8107	267	4	university	university	PROPN
app01-8107	267	5	of	of	ADP
app01-8107	267	6	sheffield	sheffield	PROPN
app01-8107	267	7	,	,	PUNCT
app01-8107	267	8	2007	2007	NUM
app01-8107	267	9	.	.	PUNCT
app01-8107	268	1	[	[	X
app01-8107	268	2	14	14	NUM
app01-8107	268	3	]	]	X
app01-8107	268	4	n.	n.	PROPN
app01-8107	268	5	spillane	spillane	PROPN
app01-8107	268	6	,	,	PUNCT
app01-8107	268	7	v.	v.	PROPN
app01-8107	268	8	dolean	dolean	PROPN
app01-8107	268	9	,	,	PUNCT
app01-8107	268	10	p.	p.	PROPN
app01-8107	268	11	hauret	hauret	PROPN
app01-8107	268	12	,	,	PUNCT
app01-8107	268	13	et	et	PROPN
app01-8107	268	14	al	al	PROPN
app01-8107	268	15	.	.	PUNCT
app01-8107	269	1	abstract	abstract	ADJ
app01-8107	269	2	robust	robust	ADJ
app01-8107	269	3	coarse	coarse	ADJ
app01-8107	269	4	spaces	space	NOUN
app01-8107	269	5	for	for	ADP
app01-8107	269	6	systems	system	NOUN
app01-8107	269	7	of	of	ADP
app01-8107	269	8	pdes	pde	NOUN
app01-8107	269	9	via	via	ADP
app01-8107	269	10	generalized	generalized	ADJ
app01-8107	269	11	eigenproblems	eigenproblem	NOUN
app01-8107	269	12	in	in	ADP
app01-8107	269	13	the	the	DET
app01-8107	269	14	overlaps	overlap	NOUN
app01-8107	269	15	.	.	PUNCT
app01-8107	270	1	numerische	numerische	PROPN
app01-8107	270	2	mathematik	mathematik	PROPN
app01-8107	270	3	126(4):741–770	126(4):741–770	NUM
app01-8107	270	4	,	,	PUNCT
app01-8107	270	5	2014	2014	NUM
app01-8107	270	6	.	.	PUNCT
app01-8107	271	1	https://doi.org/10.1007/s00211-013-0576-y	https://doi.org/10.1007/s00211-013-0576-y	PROPN
app01-8107	271	2	.	.	PROPN
app01-8107	271	3	49	49	NUM
app01-8107	271	4	https://doi.org/10.1007/978-3-662-05086-6	https://doi.org/10.1007/978-3-662-05086-6	PROPN
app01-8107	271	5	https://doi.org/10.1038/nature23911	https://doi.org/10.1038/nature23911	VERB
app01-8107	271	6	https://doi.org/10.1063/5.0026486	https://doi.org/10.1063/5.0026486	PROPN
app01-8107	271	7	https://doi.org/10.1007/s00158-020-02744-8	https://doi.org/10.1007/s00158-020-02744-8	NUM
app01-8107	271	8	2111.10439	2111.10439	NUM
app01-8107	271	9	https://doi.org/10.1002/nme.1620320604	https://doi.org/10.1002/nme.1620320604	PROPN
app01-8107	271	10	https://doi.org/10.1002/nme.76	https://doi.org/10.1002/nme.76	PROPN
app01-8107	271	11	https://doi.org/10.1016/j.advengsoft.2013.04.001	https://doi.org/10.1016/j.advengsoft.2013.04.001	NOUN
app01-8107	272	1	https://doi.org/10.1002/cnm.881	https://doi.org/10.1002/cnm.881	PROPN
app01-8107	272	2	https://doi.org/10.1002/nme.4946	https://doi.org/10.1002/nme.4946	PROPN
app01-8107	272	3	https://doi.org/10.1002/(sici)1097-0207	https://doi.org/10.1002/(sici)1097-0207	PROPN
app01-8107	272	4	(	(	PUNCT
app01-8107	272	5	19990210)44:4<489::aid	19990210)44:4<489::aid	ADJ
app01-8107	272	6	-	-	ADJ
app01-8107	272	7	nme514>3.0.co;2	nme514>3.0.co;2	NUM
app01-8107	272	8	-	-	PUNCT
app01-8107	272	9	z	z	NOUN
app01-8107	272	10	https://doi.org/10.1002/(sici)1097-0207	https://doi.org/10.1002/(sici)1097-0207	PROPN
app01-8107	272	11	(	(	PUNCT
app01-8107	272	12	19990210)44:4<489::aid	19990210)44:4<489::aid	ADJ
app01-8107	272	13	-	-	ADJ
app01-8107	272	14	nme514>3.0.co;2	nme514>3.0.co;2	NOUN
app01-8107	272	15	-	-	PUNCT
app01-8107	272	16	z	z	NOUN
app01-8107	273	1	https://doi.org/10.1007/s00211-013-0576-y	https://doi.org/10.1007/s00211-013-0576-y	PROPN
app01-8107	273	2	acta	acta	PROPN
app01-8107	273	3	polytechnica	polytechnica	PROPN
app01-8107	273	4	ctu	ctu	NOUN
app01-8107	273	5	proceedings	proceeding	NOUN
app01-8107	273	6	34:43–49	34:43–49	NUM
app01-8107	273	7	,	,	PUNCT
app01-8107	273	8	2022	2022	NUM
app01-8107	273	9	1	1	NUM
app01-8107	273	10	introduction	introduction	NOUN
app01-8107	273	11	2	2	NUM
app01-8107	273	12	dual	dual	ADJ
app01-8107	273	13	and	and	CCONJ
app01-8107	273	14	dual	dual	ADJ
app01-8107	273	15	-	-	PUNCT
app01-8107	273	16	primal	primal	ADJ
app01-8107	273	17	domain	domain	NOUN
app01-8107	273	18	decomposition	decomposition	NOUN
app01-8107	273	19	methods	method	NOUN
app01-8107	273	20	2.1	2.1	NUM
app01-8107	273	21	total	total	NOUN
app01-8107	273	22	-	-	PUNCT
app01-8107	273	23	feti	feti	PROPN
app01-8107	273	24	2.2	2.2	NUM
app01-8107	273	25	feti	feti	NOUN
app01-8107	273	26	-	-	PUNCT
app01-8107	273	27	dp	dp	ADJ
app01-8107	273	28	3	3	NUM
app01-8107	273	29	enhancements	enhancement	NOUN
app01-8107	273	30	for	for	ADP
app01-8107	273	31	heterogeneous	heterogeneous	ADJ
app01-8107	273	32	domains	domain	NOUN
app01-8107	273	33	3.1	3.1	NUM
app01-8107	273	34	k	k	NOUN
app01-8107	273	35	-	-	ADJ
app01-8107	273	36	scaling	scale	VERB
app01-8107	273	37	3.2	3.2	NUM
app01-8107	273	38	full	full	ADJ
app01-8107	273	39	orthogonalization	orthogonalization	NOUN
app01-8107	273	40	3.3	3.3	NUM
app01-8107	273	41	rank	rank	NOUN
app01-8107	273	42	-	-	PUNCT
app01-8107	273	43	revealing	reveal	VERB
app01-8107	273	44	simultaneous	simultaneous	ADJ
app01-8107	273	45	feti	feti	NOUN
app01-8107	273	46	4	4	NUM
app01-8107	273	47	numerical	numerical	ADJ
app01-8107	273	48	tests	test	NOUN
app01-8107	273	49	4.1	4.1	NUM
app01-8107	273	50	academic	academic	ADJ
app01-8107	273	51	problems	problem	NOUN
app01-8107	273	52	4.2	4.2	NUM
app01-8107	273	53	topology	topology	NOUN
app01-8107	273	54	optimization	optimization	NOUN
app01-8107	273	55	problems	problem	VERB
app01-8107	273	56	5	5	NUM
app01-8107	273	57	discussion	discussion	NOUN
app01-8107	273	58	6	6	NUM
app01-8107	273	59	summary	summary	NOUN
app01-8107	273	60	acknowledgements	acknowledgement	NOUN
app01-8107	273	61	references	reference	NOUN