id	sid	tid	token	lemma	pos
cana-2211	1	1	communications	communication	NOUN
cana-2211	1	2	on	on	ADP
cana-2211	1	3	applied	apply	VERB
cana-2211	1	4	nonlinear	nonlinear	ADJ
cana-2211	1	5	analysis	analysis	NOUN
cana-2211	1	6	issn	issn	NOUN
cana-2211	1	7	:	:	PUNCT
cana-2211	1	8	1074	1074	NUM
cana-2211	1	9	-	-	PUNCT
cana-2211	1	10	133x	133x	NUM
cana-2211	1	11	vol	vol	NOUN
cana-2211	1	12	32	32	NUM
cana-2211	1	13	no	no	NOUN
cana-2211	1	14	.	.	PUNCT
cana-2211	2	1	1s	1s	NUM
cana-2211	2	2	(	(	PUNCT
cana-2211	2	3	2025	2025	NUM
cana-2211	2	4	)	)	PUNCT
cana-2211	2	5	472	472	NUM
cana-2211	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2211	2	7	error	error	NOUN
cana-2211	2	8	estimates	estimate	NOUN
cana-2211	2	9	for	for	ADP
cana-2211	2	10	three	three	NUM
cana-2211	2	11	-	-	PUNCT
cana-2211	2	12	dimensional	dimensional	ADJ
cana-2211	2	13	singularly	singularly	ADV
cana-2211	2	14	perturbed	perturb	VERB
cana-2211	2	15	convectiondiffusion	convectiondiffusion	NOUN
cana-2211	2	16	problem	problem	NOUN
cana-2211	2	17	brehmit	brehmit	NOUN
cana-2211	2	18	kaur1	kaur1	PROPN
cana-2211	2	19	,	,	PUNCT
cana-2211	2	20	vivek	vivek	ADJ
cana-2211	2	21	sangwan2	sangwan2	PROPN
cana-2211	2	22	1department	1department	NUM
cana-2211	2	23	of	of	ADP
cana-2211	2	24	mathematics	mathematic	NOUN
cana-2211	2	25	,	,	PUNCT
cana-2211	2	26	sri	sri	ADJ
cana-2211	2	27	guru	guru	NOUN
cana-2211	2	28	granth	granth	PROPN
cana-2211	2	29	sahib	sahib	VERB
cana-2211	2	30	world	world	PROPN
cana-2211	2	31	university	university	PROPN
cana-2211	2	32	,	,	PUNCT
cana-2211	2	33	fatehgarh	fatehgarh	NOUN
cana-2211	2	34	sahib	sahib	NOUN
cana-2211	2	35	2school	2school	NUM
cana-2211	2	36	of	of	ADP
cana-2211	2	37	mathematics	mathematic	NOUN
cana-2211	2	38	,	,	PUNCT
cana-2211	2	39	thapar	thapar	PROPN
cana-2211	2	40	institute	institute	PROPN
cana-2211	2	41	of	of	ADP
cana-2211	2	42	engineering	engineering	NOUN
cana-2211	2	43	and	and	CCONJ
cana-2211	2	44	technology	technology	NOUN
cana-2211	2	45	,	,	PUNCT
cana-2211	2	46	patiala	patiala	NOUN
cana-2211	2	47	,	,	PUNCT
cana-2211	2	48	punjab	punjab	PROPN
cana-2211	2	49	,	,	PUNCT
cana-2211	2	50	india	india	PROPN
cana-2211	2	51	.	.	PUNCT
cana-2211	3	1	1corresponding	1corresponding	NUM
cana-2211	3	2	author	author	NOUN
cana-2211	3	3	:	:	PUNCT
cana-2211	3	4	e	e	X
cana-2211	3	5	-	-	NOUN
cana-2211	3	6	mail	mail	NOUN
cana-2211	3	7	address	address	NOUN
cana-2211	3	8	:	:	PUNCT
cana-2211	3	9	brehmitkaur@yahoo.in	brehmitkaur@yahoo.in	PROPN
cana-2211	3	10	,	,	PUNCT
cana-2211	3	11	sangwan.vivek@gmail.com	sangwan.vivek@gmail.com	NUM
cana-2211	3	12	article	article	NOUN
cana-2211	3	13	history	history	NOUN
cana-2211	3	14	:	:	PUNCT
cana-2211	3	15	received	receive	VERB
cana-2211	3	16	:	:	PUNCT
cana-2211	3	17	28	28	NUM
cana-2211	3	18	-	-	SYM
cana-2211	3	19	08	08	NUM
cana-2211	3	20	-	-	PUNCT
cana-2211	3	21	2024	2024	NUM
cana-2211	3	22	revised	revise	VERB
cana-2211	3	23	:	:	PUNCT
cana-2211	3	24	09	09	NUM
cana-2211	3	25	-	-	SYM
cana-2211	3	26	10	10	NUM
cana-2211	3	27	-	-	PUNCT
cana-2211	3	28	2024	2024	NUM
cana-2211	3	29	accepted	accept	VERB
cana-2211	3	30	:	:	PUNCT
cana-2211	3	31	26	26	NUM
cana-2211	3	32	-	-	SYM
cana-2211	3	33	10	10	NUM
cana-2211	3	34	-	-	PUNCT
cana-2211	3	35	2024	2024	NUM
cana-2211	3	36	abstract	abstract	NOUN
cana-2211	3	37	the	the	DET
cana-2211	3	38	main	main	ADJ
cana-2211	3	39	aim	aim	NOUN
cana-2211	3	40	of	of	ADP
cana-2211	3	41	the	the	DET
cana-2211	3	42	present	present	ADJ
cana-2211	3	43	work	work	NOUN
cana-2211	3	44	is	be	AUX
cana-2211	3	45	to	to	PART
cana-2211	3	46	propose	propose	VERB
cana-2211	3	47	a	a	DET
cana-2211	3	48	posteriori	posteriori	NOUN
cana-2211	3	49	error	error	NOUN
cana-2211	3	50	estimates	estimate	NOUN
cana-2211	3	51	for	for	ADP
cana-2211	3	52	singularly	singularly	ADV
cana-2211	3	53	perturbed	perturb	VERB
cana-2211	3	54	convection	convection	NOUN
cana-2211	3	55	-	-	PUNCT
cana-2211	3	56	diffusion	diffusion	NOUN
cana-2211	3	57	problem	problem	NOUN
cana-2211	3	58	in	in	ADP
cana-2211	3	59	three	three	NUM
cana-2211	3	60	-	-	PUNCT
cana-2211	3	61	dimensions	dimension	NOUN
cana-2211	3	62	.	.	PUNCT
cana-2211	4	1	it	it	PRON
cana-2211	4	2	has	have	AUX
cana-2211	4	3	been	be	AUX
cana-2211	4	4	observed	observe	VERB
cana-2211	4	5	that	that	SCONJ
cana-2211	4	6	for	for	ADP
cana-2211	4	7	small	small	ADJ
cana-2211	4	8	singular	singular	ADJ
cana-2211	4	9	perturbation	perturbation	NOUN
cana-2211	4	10	parameter	parameter	NOUN
cana-2211	4	11	,	,	PUNCT
cana-2211	4	12	the	the	DET
cana-2211	4	13	problem	problem	NOUN
cana-2211	4	14	under	under	ADP
cana-2211	4	15	consideration	consideration	NOUN
cana-2211	4	16	displays	display	VERB
cana-2211	4	17	nonphysical	nonphysical	ADJ
cana-2211	4	18	oscillations	oscillation	NOUN
cana-2211	4	19	in	in	ADP
cana-2211	4	20	the	the	DET
cana-2211	4	21	small	small	ADJ
cana-2211	4	22	subregions	subregion	NOUN
cana-2211	4	23	of	of	ADP
cana-2211	4	24	the	the	DET
cana-2211	4	25	boundary	boundary	ADJ
cana-2211	4	26	layers	layer	NOUN
cana-2211	4	27	.	.	PUNCT
cana-2211	5	1	hughes	hughes	PROPN
cana-2211	5	2	stabilization	stabilization	NOUN
cana-2211	5	3	strategy	strategy	NOUN
cana-2211	5	4	along	along	ADP
cana-2211	5	5	with	with	ADP
cana-2211	5	6	the	the	DET
cana-2211	5	7	streamline	streamline	ADJ
cana-2211	5	8	upwind	upwind	NOUN
cana-2211	5	9	/	/	SYM
cana-2211	5	10	petrov	petrov	PROPN
cana-2211	5	11	-	-	PUNCT
cana-2211	5	12	galerkin	galerkin	PROPN
cana-2211	5	13	(	(	PUNCT
cana-2211	5	14	supg	supg	NOUN
cana-2211	5	15	)	)	PUNCT
cana-2211	5	16	method	method	NOUN
cana-2211	5	17	has	have	AUX
cana-2211	5	18	been	be	AUX
cana-2211	5	19	proposed	propose	VERB
cana-2211	5	20	to	to	PART
cana-2211	5	21	approximate	approximate	VERB
cana-2211	5	22	the	the	DET
cana-2211	5	23	solution	solution	NOUN
cana-2211	5	24	of	of	ADP
cana-2211	5	25	the	the	DET
cana-2211	5	26	problem	problem	NOUN
cana-2211	5	27	.	.	PUNCT
cana-2211	6	1	reliable	reliable	VERB
cana-2211	6	2	a	a	DET
cana-2211	6	3	posteriori	posteriori	NOUN
cana-2211	6	4	error	error	NOUN
cana-2211	6	5	estimates	estimate	NOUN
cana-2211	6	6	in	in	ADP
cana-2211	6	7	energy	energy	NOUN
cana-2211	6	8	norm	norm	NOUN
cana-2211	6	9	on	on	ADP
cana-2211	6	10	anisotropic	anisotropic	NOUN
cana-2211	6	11	meshes	mesh	NOUN
cana-2211	6	12	have	have	AUX
cana-2211	6	13	been	be	AUX
cana-2211	6	14	developed	develop	VERB
cana-2211	6	15	for	for	ADP
cana-2211	6	16	the	the	DET
cana-2211	6	17	proposed	propose	VERB
cana-2211	6	18	method	method	NOUN
cana-2211	6	19	.	.	PUNCT
cana-2211	7	1	keywords	keyword	NOUN
cana-2211	7	2	:	:	PUNCT
cana-2211	7	3	convection	convection	NOUN
cana-2211	7	4	-	-	PUNCT
cana-2211	7	5	diffusion	diffusion	NOUN
cana-2211	7	6	equation	equation	NOUN
cana-2211	7	7	,	,	PUNCT
cana-2211	7	8	streamline	streamline	VERB
cana-2211	7	9	upwind	upwind	NOUN
cana-2211	7	10	/	/	SYM
cana-2211	7	11	petrov	petrov	PROPN
cana-2211	7	12	-	-	PUNCT
cana-2211	7	13	galerkin	galerkin	PROPN
cana-2211	7	14	(	(	PUNCT
cana-2211	7	15	supg	supg	NOUN
cana-2211	7	16	)	)	PUNCT
cana-2211	7	17	method	method	NOUN
cana-2211	7	18	,	,	PUNCT
cana-2211	7	19	hughes	hughes	PROPN
cana-2211	7	20	stabilization	stabilization	NOUN
cana-2211	7	21	,	,	PUNCT
cana-2211	7	22	singularly	singularly	ADV
cana-2211	7	23	perturbed	perturb	VERB
cana-2211	7	24	problems	problem	NOUN
cana-2211	7	25	,	,	PUNCT
cana-2211	7	26	a	a	DET
cana-2211	7	27	posteriori	posteriori	NOUN
cana-2211	7	28	error	error	NOUN
cana-2211	7	29	estimation	estimation	NOUN
cana-2211	7	30	,	,	PUNCT
cana-2211	7	31	finite	finite	ADJ
cana-2211	7	32	element	element	NOUN
cana-2211	7	33	method	method	NOUN
cana-2211	7	34	.	.	PUNCT
cana-2211	8	1	1	1	X
cana-2211	8	2	.	.	X
cana-2211	8	3	introduction	introduction	NOUN
cana-2211	8	4	many	many	ADJ
cana-2211	8	5	important	important	ADJ
cana-2211	8	6	mathematical	mathematical	ADJ
cana-2211	8	7	models	model	NOUN
cana-2211	8	8	governing	govern	VERB
cana-2211	8	9	various	various	ADJ
cana-2211	8	10	physical	physical	ADJ
cana-2211	8	11	phenomena	phenomenon	NOUN
cana-2211	8	12	occurring	occur	VERB
cana-2211	8	13	during	during	ADP
cana-2211	8	14	the	the	DET
cana-2211	8	15	analysis	analysis	NOUN
cana-2211	8	16	of	of	ADP
cana-2211	8	17	biological	biological	ADJ
cana-2211	8	18	systems	system	NOUN
cana-2211	8	19	,	,	PUNCT
cana-2211	8	20	heat	heat	NOUN
cana-2211	8	21	transfer	transfer	NOUN
cana-2211	8	22	process	process	NOUN
cana-2211	8	23	,	,	PUNCT
cana-2211	8	24	mass	mass	NOUN
cana-2211	8	25	transfer	transfer	NOUN
cana-2211	8	26	process	process	NOUN
cana-2211	8	27	,	,	PUNCT
cana-2211	8	28	etc	etc	X
cana-2211	8	29	.	.	X
cana-2211	8	30	,	,	PUNCT
cana-2211	8	31	are	be	AUX
cana-2211	8	32	represented	represent	VERB
cana-2211	8	33	by	by	ADP
cana-2211	8	34	partial	partial	ADJ
cana-2211	8	35	differential	differential	ADJ
cana-2211	8	36	equations	equation	NOUN
cana-2211	8	37	[	[	X
cana-2211	8	38	14,16	14,16	NUM
cana-2211	8	39	]	]	X
cana-2211	8	40	.	.	PUNCT
cana-2211	9	1	very	very	ADV
cana-2211	9	2	few	few	ADJ
cana-2211	9	3	researchers	researcher	NOUN
cana-2211	9	4	have	have	AUX
cana-2211	9	5	developed	develop	VERB
cana-2211	9	6	finite	finite	ADJ
cana-2211	9	7	element	element	NOUN
cana-2211	9	8	strategies	strategy	NOUN
cana-2211	9	9	for	for	ADP
cana-2211	9	10	simulating	simulate	VERB
cana-2211	9	11	three	three	NUM
cana-2211	9	12	-	-	PUNCT
cana-2211	9	13	dimensional	dimensional	ADJ
cana-2211	9	14	partial	partial	ADJ
cana-2211	9	15	differential	differential	NOUN
cana-2211	9	16	equations	equation	NOUN
cana-2211	9	17	.	.	PUNCT
cana-2211	10	1	to	to	PART
cana-2211	10	2	name	name	VERB
cana-2211	10	3	a	a	DET
cana-2211	10	4	few	few	ADJ
cana-2211	10	5	,	,	PUNCT
cana-2211	10	6	branco	branco	PROPN
cana-2211	10	7	et	et	PROPN
cana-2211	10	8	al	al	PROPN
cana-2211	10	9	.	.	PUNCT
cana-2211	11	1	[	[	X
cana-2211	11	2	1	1	X
cana-2211	11	3	]	]	PUNCT
cana-2211	11	4	proposed	propose	VERB
cana-2211	11	5	three	three	NUM
cana-2211	11	6	-	-	PUNCT
cana-2211	11	7	dimensional	dimensional	ADJ
cana-2211	11	8	finite	finite	ADJ
cana-2211	11	9	element	element	NOUN
cana-2211	11	10	technique	technique	NOUN
cana-2211	11	11	to	to	PART
cana-2211	11	12	analyse	analyse	VERB
cana-2211	11	13	the	the	DET
cana-2211	11	14	shape	shape	NOUN
cana-2211	11	15	evolution	evolution	NOUN
cana-2211	11	16	of	of	ADP
cana-2211	11	17	fatigue	fatigue	NOUN
cana-2211	11	18	cracks	crack	NOUN
cana-2211	11	19	.	.	PUNCT
cana-2211	12	1	numerical	numerical	ADJ
cana-2211	12	2	tests	test	NOUN
cana-2211	12	3	have	have	AUX
cana-2211	12	4	been	be	AUX
cana-2211	12	5	performed	perform	VERB
cana-2211	12	6	and	and	CCONJ
cana-2211	12	7	it	it	PRON
cana-2211	12	8	has	have	AUX
cana-2211	12	9	been	be	AUX
cana-2211	12	10	shown	show	VERB
cana-2211	12	11	that	that	SCONJ
cana-2211	12	12	the	the	DET
cana-2211	12	13	numerical	numerical	ADJ
cana-2211	12	14	results	result	NOUN
cana-2211	12	15	agree	agree	VERB
cana-2211	12	16	with	with	ADP
cana-2211	12	17	the	the	DET
cana-2211	12	18	experimental	experimental	ADJ
cana-2211	12	19	findings	finding	NOUN
cana-2211	12	20	.	.	PUNCT
cana-2211	13	1	mola	mola	PROPN
cana-2211	13	2	et	et	PROPN
cana-2211	13	3	al	al	PROPN
cana-2211	13	4	.	.	PUNCT
cana-2211	14	1	[	[	X
cana-2211	14	2	13	13	NUM
cana-2211	14	3	]	]	PUNCT
cana-2211	14	4	developed	develop	VERB
cana-2211	14	5	streamline	streamline	NOUN
cana-2211	14	6	upwind	upwind	NOUN
cana-2211	14	7	petrov	petrov	PROPN
cana-2211	14	8	-	-	PUNCT
cana-2211	14	9	galerkin	galerkin	PROPN
cana-2211	14	10	(	(	PUNCT
cana-2211	14	11	supg	supg	NOUN
cana-2211	14	12	)	)	PUNCT
cana-2211	14	13	technique	technique	NOUN
cana-2211	14	14	for	for	ADP
cana-2211	14	15	approximating	approximate	VERB
cana-2211	14	16	unsteady	unsteady	ADJ
cana-2211	14	17	three	three	NUM
cana-2211	14	18	-	-	PUNCT
cana-2211	14	19	dimensional	dimensional	ADJ
cana-2211	14	20	non	non	ADJ
cana-2211	14	21	-	-	ADJ
cana-2211	14	22	linear	linear	ADJ
cana-2211	14	23	water	water	NOUN
cana-2211	14	24	waves	wave	NOUN
cana-2211	14	25	arising	arise	VERB
cana-2211	14	26	due	due	ADP
cana-2211	14	27	to	to	ADP
cana-2211	14	28	ship	ship	NOUN
cana-2211	14	29	hull	hull	NOUN
cana-2211	14	30	advancing	advance	VERB
cana-2211	14	31	in	in	ADP
cana-2211	14	32	water	water	NOUN
cana-2211	14	33	based	base	VERB
cana-2211	14	34	on	on	ADP
cana-2211	14	35	semi	semi	ADJ
cana-2211	14	36	-	-	ADJ
cana-2211	14	37	lagrangian	lagrangian	ADJ
cana-2211	14	38	framework	framework	NOUN
cana-2211	14	39	.	.	PUNCT
cana-2211	15	1	supg	supg	PROPN
cana-2211	15	2	projection	projection	PROPN
cana-2211	15	3	has	have	AUX
cana-2211	15	4	been	be	AUX
cana-2211	15	5	considered	consider	VERB
cana-2211	15	6	to	to	PART
cana-2211	15	7	recover	recover	VERB
cana-2211	15	8	accurate	accurate	ADJ
cana-2211	15	9	estimates	estimate	NOUN
cana-2211	15	10	of	of	ADP
cana-2211	15	11	position	position	NOUN
cana-2211	15	12	vector	vector	NOUN
cana-2211	15	13	and	and	CCONJ
cana-2211	15	14	potential	potential	ADJ
cana-2211	15	15	gradients	gradient	NOUN
cana-2211	15	16	on	on	ADP
cana-2211	15	17	free	free	ADJ
cana-2211	15	18	surface	surface	NOUN
cana-2211	15	19	.	.	PUNCT
cana-2211	16	1	the	the	DET
cana-2211	16	2	proposed	propose	VERB
cana-2211	16	3	technique	technique	NOUN
cana-2211	16	4	results	result	NOUN
cana-2211	16	5	in	in	ADP
cana-2211	16	6	stabilization	stabilization	NOUN
cana-2211	16	7	of	of	ADP
cana-2211	16	8	the	the	DET
cana-2211	16	9	transport	transport	NOUN
cana-2211	16	10	dominated	dominate	VERB
cana-2211	16	11	terms	term	NOUN
cana-2211	16	12	and	and	CCONJ
cana-2211	16	13	robust	robust	ADJ
cana-2211	16	14	adaptation	adaptation	NOUN
cana-2211	16	15	of	of	ADP
cana-2211	16	16	the	the	DET
cana-2211	16	17	spatial	spatial	ADJ
cana-2211	16	18	discretization	discretization	NOUN
cana-2211	16	19	on	on	ADP
cana-2211	16	20	unstructured	unstructured	ADJ
cana-2211	16	21	quadrilateral	quadrilateral	ADJ
cana-2211	16	22	grids	grid	NOUN
cana-2211	16	23	.	.	PUNCT
cana-2211	17	1	zhai	zhai	PROPN
cana-2211	17	2	et	et	PROPN
cana-2211	17	3	al	al	PROPN
cana-2211	17	4	.	.	PUNCT
cana-2211	18	1	[	[	X
cana-2211	18	2	17	17	NUM
cana-2211	18	3	]	]	PUNCT
cana-2211	18	4	analysed	analyse	VERB
cana-2211	18	5	three	three	NUM
cana-2211	18	6	-	-	PUNCT
cana-2211	18	7	dimensional	dimensional	ADJ
cana-2211	18	8	time	time	NOUN
cana-2211	18	9	fractional	fractional	ADJ
cana-2211	18	10	convection	convection	NOUN
cana-2211	18	11	-	-	PUNCT
cana-2211	18	12	diffusion	diffusion	NOUN
cana-2211	18	13	equation	equation	NOUN
cana-2211	18	14	by	by	ADP
cana-2211	18	15	proposing	propose	VERB
cana-2211	18	16	an	an	DET
cana-2211	18	17	implicit	implicit	ADJ
cana-2211	18	18	compact	compact	ADJ
cana-2211	18	19	finite	finite	ADJ
cana-2211	18	20	difference	difference	NOUN
cana-2211	18	21	scheme	scheme	NOUN
cana-2211	18	22	which	which	PRON
cana-2211	18	23	uses	use	VERB
cana-2211	18	24	fourth	fourth	ADJ
cana-2211	18	25	-	-	PUNCT
cana-2211	18	26	order	order	NOUN
cana-2211	18	27	pad𝑒	pad𝑒	NOUN
cana-2211	18	28	′	′	NUM
cana-2211	18	29	approximation	approximation	NOUN
cana-2211	18	30	for	for	ADP
cana-2211	18	31	spatial	spatial	ADJ
cana-2211	18	32	discretization	discretization	NOUN
cana-2211	18	33	and	and	CCONJ
cana-2211	18	34	central	central	ADJ
cana-2211	18	35	difference	difference	NOUN
cana-2211	18	36	scheme	scheme	NOUN
cana-2211	18	37	for	for	ADP
cana-2211	18	38	time	time	NOUN
cana-2211	18	39	discretization	discretization	NOUN
cana-2211	18	40	.	.	PUNCT
cana-2211	19	1	mohanty	mohanty	PROPN
cana-2211	19	2	and	and	CCONJ
cana-2211	19	3	setia	setia	PROPN
cana-2211	20	1	[	[	X
cana-2211	20	2	11	11	NUM
cana-2211	20	3	]	]	PUNCT
cana-2211	20	4	developed	develop	VERB
cana-2211	20	5	high	high	ADJ
cana-2211	20	6	order	order	NOUN
cana-2211	20	7	compact	compact	ADJ
cana-2211	20	8	finite	finite	ADJ
cana-2211	20	9	difference	difference	NOUN
cana-2211	20	10	scheme	scheme	NOUN
cana-2211	20	11	for	for	ADP
cana-2211	20	12	approximating	approximate	VERB
cana-2211	20	13	three	three	NUM
cana-2211	20	14	-	-	PUNCT
cana-2211	20	15	dimensional	dimensional	ADJ
cana-2211	20	16	quasi	quasi	ADJ
cana-2211	20	17	-	-	ADJ
cana-2211	20	18	linear	linear	ADJ
cana-2211	20	19	elliptic	elliptic	ADJ
cana-2211	20	20	partial	partial	ADJ
cana-2211	20	21	differential	differential	NOUN
cana-2211	20	22	equation	equation	NOUN
cana-2211	20	23	.	.	PUNCT
cana-2211	21	1	in	in	ADP
cana-2211	21	2	the	the	DET
cana-2211	21	3	present	present	ADJ
cana-2211	21	4	paper	paper	NOUN
cana-2211	21	5	,	,	PUNCT
cana-2211	21	6	we	we	PRON
cana-2211	21	7	will	will	AUX
cana-2211	21	8	focus	focus	VERB
cana-2211	21	9	on	on	ADP
cana-2211	21	10	proposing	propose	VERB
cana-2211	21	11	the	the	DET
cana-2211	21	12	hughes	hughe	NOUN
cana-2211	21	13	stabilized	stabilize	VERB
cana-2211	21	14	supg	supg	PROPN
cana-2211	21	15	finite	finite	PROPN
cana-2211	21	16	element	element	NOUN
cana-2211	21	17	technique	technique	NOUN
cana-2211	21	18	for	for	ADP
cana-2211	21	19	solving	solve	VERB
cana-2211	21	20	the	the	DET
cana-2211	21	21	singularly	singularly	ADV
cana-2211	21	22	perturbed	perturb	VERB
cana-2211	21	23	problems	problem	NOUN
cana-2211	21	24	.	.	PUNCT
cana-2211	22	1	mailto:brehmitkaur@yahoo.in	mailto:brehmitkaur@yahoo.in	NOUN
cana-2211	22	2	communications	communication	NOUN
cana-2211	22	3	on	on	ADP
cana-2211	22	4	applied	apply	VERB
cana-2211	22	5	nonlinear	nonlinear	ADJ
cana-2211	22	6	analysis	analysis	NOUN
cana-2211	22	7	issn	issn	NOUN
cana-2211	22	8	:	:	PUNCT
cana-2211	22	9	1074	1074	NUM
cana-2211	22	10	-	-	PUNCT
cana-2211	22	11	133x	133x	NUM
cana-2211	22	12	vol	vol	NOUN
cana-2211	22	13	32	32	NUM
cana-2211	22	14	no	no	NOUN
cana-2211	22	15	.	.	PUNCT
cana-2211	23	1	1s	1s	NUM
cana-2211	23	2	(	(	PUNCT
cana-2211	23	3	2025	2025	NUM
cana-2211	23	4	)	)	PUNCT
cana-2211	23	5	473	473	NUM
cana-2211	23	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2211	23	7	consider	consider	VERB
cana-2211	23	8	the	the	DET
cana-2211	23	9	three	three	NUM
cana-2211	23	10	-	-	PUNCT
cana-2211	23	11	dimensional	dimensional	ADJ
cana-2211	23	12	spp	spp	NOUN
cana-2211	23	13	given	give	VERB
cana-2211	23	14	by	by	ADP
cana-2211	23	15	−𝛻.	−𝛻.	NOUN
cana-2211	23	16	𝜖𝛻𝑢	𝜖𝛻𝑢	X
cana-2211	23	17	+	+	CCONJ
cana-2211	23	18	𝒃.	𝒃.	NOUN
cana-2211	23	19	𝛻𝑢	𝛻𝑢	PROPN
cana-2211	23	20	+	+	CCONJ
cana-2211	23	21	𝑐𝑢	𝑐𝑢	NOUN
cana-2211	23	22	=	=	SYM
cana-2211	23	23	𝑓	𝑓	PRON
cana-2211	23	24	𝑖𝑛	𝑖𝑛	NOUN
cana-2211	23	25	ℾ	ℾ	PROPN
cana-2211	23	26	,	,	PUNCT
cana-2211	23	27	(	(	PUNCT
cana-2211	23	28	1.1	1.1	NUM
cana-2211	23	29	)	)	PUNCT
cana-2211	23	30	𝑢	𝑢	NOUN
cana-2211	23	31	=	=	SYM
cana-2211	23	32	0	0	PROPN
cana-2211	23	33	𝑜𝑛	𝑜𝑛	PROPN
cana-2211	23	34	𝜕ℾ𝐷	𝜕ℾ𝐷	NOUN
cana-2211	23	35	,	,	PUNCT
cana-2211	23	36	(	(	PUNCT
cana-2211	23	37	1.2	1.2	NUM
cana-2211	23	38	)	)	PUNCT
cana-2211	23	39	𝜕𝑢	𝜕𝑢	NOUN
cana-2211	23	40	𝜕𝑛	𝜕𝑛	NOUN
cana-2211	23	41	=	=	PUNCT
cana-2211	23	42	𝑔	𝑔	PART
cana-2211	23	43	𝑜𝑛	𝑜𝑛	PROPN
cana-2211	23	44	𝜕ℾ𝑁	𝜕ℾ𝑁	NOUN
cana-2211	23	45	,	,	PUNCT
cana-2211	23	46	(	(	PUNCT
cana-2211	23	47	1.3	1.3	NUM
cana-2211	23	48	)	)	PUNCT
cana-2211	23	49	where	where	SCONJ
cana-2211	23	50	ℾ	ℾ	PROPN
cana-2211	23	51	⊂	⊂	PROPN
cana-2211	23	52	𝑅3	𝑅3	PROPN
cana-2211	23	53	is	be	AUX
cana-2211	23	54	a	a	DET
cana-2211	23	55	bounded	bounded	ADJ
cana-2211	23	56	domain	domain	NOUN
cana-2211	23	57	with	with	ADP
cana-2211	23	58	lipschitz	lipschitz	NOUN
cana-2211	23	59	-	-	PUNCT
cana-2211	23	60	continuous	continuous	ADJ
cana-2211	23	61	boundary	boundary	ADJ
cana-2211	23	62	𝜕ℾ	𝜕ℾ	PROPN
cana-2211	23	63	and	and	CCONJ
cana-2211	23	64	𝜖	𝜖	PROPN
cana-2211	23	65	is	be	AUX
cana-2211	23	66	singular	singular	ADJ
cana-2211	23	67	perturbation	perturbation	NOUN
cana-2211	23	68	parameter	parameter	NOUN
cana-2211	23	69	satisfying	satisfy	VERB
cana-2211	23	70	0	0	PUNCT
cana-2211	23	71	<	<	X
cana-2211	23	72	𝜖	𝜖	X
cana-2211	23	73	≪	≪	ADJ
cana-2211	23	74	1	1	X
cana-2211	23	75	.	.	X
cana-2211	24	1	we	we	PRON
cana-2211	24	2	assume	assume	VERB
cana-2211	24	3	that	that	SCONJ
cana-2211	24	4	𝜕ℾ	𝜕ℾ	PROPN
cana-2211	24	5	=	=	NOUN
cana-2211	24	6	𝜕ℾ𝐷	𝜕ℾ𝐷	NOUN
cana-2211	24	7	∪	∪	ADJ
cana-2211	24	8	𝜕ℾ𝑁	𝜕ℾ𝑁	NOUN
cana-2211	24	9	with	with	ADP
cana-2211	24	10	𝜕ℾ𝐷	𝜕ℾ𝐷	NOUN
cana-2211	24	11	∩	∩	ADJ
cana-2211	24	12	𝜕ℾ𝑁	𝜕ℾ𝑁	NOUN
cana-2211	24	13	=	=	NOUN
cana-2211	24	14	∅	∅	NOUN
cana-2211	24	15	,	,	PUNCT
cana-2211	24	16	and	and	CCONJ
cana-2211	24	17	𝒃	𝒃	NOUN
cana-2211	24	18	,	,	PUNCT
cana-2211	24	19	c	c	PROPN
cana-2211	24	20	and	and	CCONJ
cana-2211	24	21	f	f	PROPN
cana-2211	24	22	are	be	AUX
cana-2211	24	23	analytic	analytic	ADJ
cana-2211	24	24	.	.	PUNCT
cana-2211	25	1	𝜕ℾ𝐷	𝜕ℾ𝐷	NOUN
cana-2211	25	2	and	and	CCONJ
cana-2211	25	3	𝜕ℾ𝑁	𝜕ℾ𝑁	NOUN
cana-2211	25	4	represent	represent	VERB
cana-2211	25	5	the	the	DET
cana-2211	25	6	dirichlet	dirichlet	PROPN
cana-2211	25	7	and	and	CCONJ
cana-2211	25	8	neumann	neumann	PROPN
cana-2211	25	9	boundaries	boundary	NOUN
cana-2211	25	10	of	of	ADP
cana-2211	25	11	the	the	DET
cana-2211	25	12	domain	domain	NOUN
cana-2211	25	13	respectively	respectively	ADV
cana-2211	25	14	.	.	PUNCT
cana-2211	26	1	the	the	DET
cana-2211	26	2	considered	consider	VERB
cana-2211	26	3	problem	problem	NOUN
cana-2211	26	4	is	be	AUX
cana-2211	26	5	comprised	comprise	VERB
cana-2211	26	6	of	of	ADP
cana-2211	26	7	two	two	NUM
cana-2211	26	8	basic	basic	ADJ
cana-2211	26	9	phenomena	phenomena	NOUN
cana-2211	26	10	-	-	PUNCT
cana-2211	26	11	convection	convection	NOUN
cana-2211	26	12	and	and	CCONJ
cana-2211	26	13	diffusion	diffusion	NOUN
cana-2211	26	14	.	.	PUNCT
cana-2211	27	1	for	for	ADP
cana-2211	27	2	the	the	DET
cana-2211	27	3	case	case	NOUN
cana-2211	27	4	when	when	SCONJ
cana-2211	27	5	𝜖	𝜖	X
cana-2211	27	6	≪	≪	PUNCT
cana-2211	27	7	||𝒃||	||𝒃||	PROPN
cana-2211	27	8	,	,	PUNCT
cana-2211	27	9	the	the	DET
cana-2211	27	10	above	above	ADJ
cana-2211	27	11	problem	problem	NOUN
cana-2211	27	12	becomes	become	VERB
cana-2211	27	13	convection	convection	NOUN
cana-2211	27	14	dominant	dominant	NOUN
cana-2211	27	15	in	in	ADP
cana-2211	27	16	nature	nature	NOUN
cana-2211	27	17	.	.	PUNCT
cana-2211	28	1	this	this	DET
cana-2211	28	2	results	result	VERB
cana-2211	28	3	in	in	ADP
cana-2211	28	4	singularities	singularity	NOUN
cana-2211	28	5	,	,	PUNCT
cana-2211	28	6	such	such	ADJ
cana-2211	28	7	as	as	ADP
cana-2211	28	8	shocks	shock	NOUN
cana-2211	28	9	,	,	PUNCT
cana-2211	28	10	interior	interior	ADJ
cana-2211	28	11	and	and	CCONJ
cana-2211	28	12	boundary	boundary	ADJ
cana-2211	28	13	layers	layer	NOUN
cana-2211	28	14	which	which	PRON
cana-2211	28	15	deteriorate	deteriorate	VERB
cana-2211	28	16	the	the	DET
cana-2211	28	17	accuracy	accuracy	NOUN
cana-2211	28	18	of	of	ADP
cana-2211	28	19	numerical	numerical	ADJ
cana-2211	28	20	solutions	solution	NOUN
cana-2211	28	21	obtained	obtain	VERB
cana-2211	28	22	by	by	ADP
cana-2211	28	23	various	various	ADJ
cana-2211	28	24	numerical	numerical	ADJ
cana-2211	28	25	schemes	scheme	NOUN
cana-2211	28	26	.	.	PUNCT
cana-2211	29	1	therefore	therefore	ADV
cana-2211	29	2	,	,	PUNCT
cana-2211	29	3	it	it	PRON
cana-2211	29	4	becomes	become	VERB
cana-2211	29	5	essential	essential	ADJ
cana-2211	29	6	to	to	PART
cana-2211	29	7	obtain	obtain	VERB
cana-2211	29	8	some	some	DET
cana-2211	29	9	reliable	reliable	ADJ
cana-2211	29	10	and	and	CCONJ
cana-2211	29	11	efficient	efficient	ADJ
cana-2211	29	12	error	error	NOUN
cana-2211	29	13	estimates	estimate	NOUN
cana-2211	29	14	for	for	ADP
cana-2211	29	15	the	the	DET
cana-2211	29	16	computed	compute	VERB
cana-2211	29	17	numerical	numerical	ADJ
cana-2211	29	18	solution	solution	NOUN
cana-2211	29	19	to	to	PART
cana-2211	29	20	rely	rely	VERB
cana-2211	29	21	on	on	ADP
cana-2211	29	22	.	.	PUNCT
cana-2211	30	1	broadly	broadly	ADV
cana-2211	30	2	,	,	PUNCT
cana-2211	30	3	error	error	NOUN
cana-2211	30	4	estimates	estimate	NOUN
cana-2211	30	5	are	be	AUX
cana-2211	30	6	of	of	ADP
cana-2211	30	7	two	two	NUM
cana-2211	30	8	different	different	ADJ
cana-2211	30	9	types	type	NOUN
cana-2211	30	10	,	,	PUNCT
cana-2211	30	11	namely	namely	ADV
cana-2211	30	12	,	,	PUNCT
cana-2211	30	13	a	a	DET
cana-2211	30	14	priori	priori	ADJ
cana-2211	30	15	error	error	NOUN
cana-2211	30	16	estimates	estimate	NOUN
cana-2211	30	17	and	and	CCONJ
cana-2211	30	18	a	a	DET
cana-2211	30	19	posteriori	posteriori	NOUN
cana-2211	30	20	error	error	NOUN
cana-2211	30	21	estimates	estimate	NOUN
cana-2211	30	22	.	.	PUNCT
cana-2211	31	1	it	it	PRON
cana-2211	31	2	is	be	AUX
cana-2211	31	3	seen	see	VERB
cana-2211	31	4	that	that	SCONJ
cana-2211	31	5	a	a	DET
cana-2211	31	6	priori	priori	ADJ
cana-2211	31	7	error	error	NOUN
cana-2211	31	8	estimates	estimate	NOUN
cana-2211	31	9	provide	provide	VERB
cana-2211	31	10	crude	crude	ADJ
cana-2211	31	11	information	information	NOUN
cana-2211	31	12	only	only	ADV
cana-2211	31	13	about	about	ADP
cana-2211	31	14	the	the	DET
cana-2211	31	15	asymptotic	asymptotic	ADJ
cana-2211	31	16	behavior	behavior	NOUN
cana-2211	31	17	of	of	ADP
cana-2211	31	18	the	the	DET
cana-2211	31	19	solution	solution	NOUN
cana-2211	31	20	and	and	CCONJ
cana-2211	31	21	involves	involve	VERB
cana-2211	31	22	regularity	regularity	NOUN
cana-2211	31	23	conditions	condition	NOUN
cana-2211	31	24	which	which	PRON
cana-2211	31	25	are	be	AUX
cana-2211	31	26	very	very	ADV
cana-2211	31	27	difficult	difficult	ADJ
cana-2211	31	28	to	to	PART
cana-2211	31	29	achieve	achieve	VERB
cana-2211	31	30	in	in	ADP
cana-2211	31	31	case	case	NOUN
cana-2211	31	32	of	of	ADP
cana-2211	31	33	singularities	singularity	NOUN
cana-2211	31	34	whereas	whereas	SCONJ
cana-2211	31	35	a	a	DET
cana-2211	31	36	posteriori	posteriori	NOUN
cana-2211	31	37	error	error	NOUN
cana-2211	31	38	estimates	estimate	NOUN
cana-2211	31	39	provide	provide	VERB
cana-2211	31	40	quantitative	quantitative	ADJ
cana-2211	31	41	information	information	NOUN
cana-2211	31	42	of	of	ADP
cana-2211	31	43	the	the	DET
cana-2211	31	44	computed	compute	VERB
cana-2211	31	45	numerical	numerical	ADJ
cana-2211	31	46	solution	solution	NOUN
cana-2211	31	47	.	.	PUNCT
cana-2211	32	1	therefore	therefore	ADV
cana-2211	32	2	,	,	PUNCT
cana-2211	32	3	it	it	PRON
cana-2211	32	4	is	be	AUX
cana-2211	32	5	more	more	ADV
cana-2211	32	6	expected	expect	VERB
cana-2211	32	7	to	to	PART
cana-2211	32	8	derive	derive	VERB
cana-2211	32	9	some	some	DET
cana-2211	32	10	reliable	reliable	ADJ
cana-2211	32	11	a	a	DET
cana-2211	32	12	posteriori	posteriori	NOUN
cana-2211	32	13	error	error	NOUN
cana-2211	32	14	estimates	estimate	NOUN
cana-2211	32	15	based	base	VERB
cana-2211	32	16	on	on	ADP
cana-2211	32	17	the	the	DET
cana-2211	32	18	data	datum	NOUN
cana-2211	32	19	of	of	ADP
cana-2211	32	20	the	the	DET
cana-2211	32	21	problem	problem	NOUN
cana-2211	32	22	and	and	CCONJ
cana-2211	32	23	the	the	DET
cana-2211	32	24	computed	computed	ADJ
cana-2211	32	25	numerical	numerical	ADJ
cana-2211	32	26	solution	solution	NOUN
cana-2211	32	27	.	.	PUNCT
cana-2211	33	1	stephansen	stephansen	PROPN
cana-2211	34	1	[	[	X
cana-2211	34	2	5	5	NUM
cana-2211	34	3	]	]	PUNCT
cana-2211	34	4	proposed	propose	VERB
cana-2211	34	5	robust	robust	ADJ
cana-2211	34	6	a	a	DET
cana-2211	34	7	posteriori	posteriori	NOUN
cana-2211	34	8	error	error	NOUN
cana-2211	34	9	estimates	estimate	NOUN
cana-2211	34	10	for	for	ADP
cana-2211	34	11	convection	convection	NOUN
cana-2211	34	12	-	-	PUNCT
cana-2211	34	13	diffusion	diffusion	NOUN
cana-2211	34	14	-	-	PUNCT
cana-2211	34	15	reaction	reaction	NOUN
cana-2211	34	16	problems	problem	NOUN
cana-2211	34	17	based	base	VERB
cana-2211	34	18	on	on	ADP
cana-2211	34	19	weighted	weight	VERB
cana-2211	34	20	interior	interior	ADJ
cana-2211	34	21	-	-	PUNCT
cana-2211	34	22	penalty	penalty	NOUN
cana-2211	34	23	discontinuous	discontinuous	ADJ
cana-2211	34	24	galerkin	galerkin	ADJ
cana-2211	34	25	methods	method	NOUN
cana-2211	34	26	.	.	PUNCT
cana-2211	35	1	lazarov	lazarov	PROPN
cana-2211	36	1	[	[	X
cana-2211	36	2	10	10	NUM
cana-2211	36	3	]	]	PUNCT
cana-2211	36	4	derived	derive	VERB
cana-2211	36	5	residual	residual	ADJ
cana-2211	36	6	based	base	VERB
cana-2211	36	7	a	a	DET
cana-2211	36	8	posteriori	posteriori	NOUN
cana-2211	36	9	estimates	estimate	NOUN
cana-2211	36	10	for	for	ADP
cana-2211	36	11	convection	convection	NOUN
cana-2211	36	12	-	-	PUNCT
cana-2211	36	13	diffusion	diffusion	NOUN
cana-2211	36	14	-	-	PUNCT
cana-2211	36	15	reaction	reaction	NOUN
cana-2211	36	16	equations	equation	NOUN
cana-2211	36	17	using	use	VERB
cana-2211	36	18	finite	finite	PROPN
cana-2211	36	19	volume	volume	NOUN
cana-2211	36	20	element	element	NOUN
cana-2211	36	21	approximations	approximation	NOUN
cana-2211	36	22	.	.	PUNCT
cana-2211	37	1	carstensen	carstensen	VERB
cana-2211	37	2	et	et	PROPN
cana-2211	37	3	al	al	PROPN
cana-2211	37	4	.	.	PUNCT
cana-2211	38	1	[	[	X
cana-2211	38	2	3	3	X
cana-2211	38	3	]	]	PUNCT
cana-2211	38	4	proposed	propose	VERB
cana-2211	38	5	residual	residual	ADJ
cana-2211	38	6	-	-	PUNCT
cana-2211	38	7	type	type	NOUN
cana-2211	38	8	explicit	explicit	ADJ
cana-2211	38	9	error	error	NOUN
cana-2211	38	10	estimators	estimator	NOUN
cana-2211	38	11	and	and	CCONJ
cana-2211	38	12	averaging	average	VERB
cana-2211	38	13	techniques	technique	NOUN
cana-2211	38	14	for	for	ADP
cana-2211	38	15	steady	steady	ADJ
cana-2211	38	16	convection	convection	NOUN
cana-2211	38	17	-	-	PUNCT
cana-2211	38	18	diffusion	diffusion	NOUN
cana-2211	38	19	-	-	PUNCT
cana-2211	38	20	reaction	reaction	NOUN
cana-2211	38	21	problems	problem	NOUN
cana-2211	38	22	using	use	VERB
cana-2211	38	23	finite	finite	ADJ
cana-2211	38	24	volume	volume	NOUN
cana-2211	38	25	method	method	NOUN
cana-2211	38	26	.	.	PUNCT
cana-2211	39	1	further	far	ADV
cana-2211	39	2	,	,	PUNCT
cana-2211	39	3	the	the	DET
cana-2211	39	4	authors	author	NOUN
cana-2211	39	5	proposed	propose	VERB
cana-2211	39	6	adaptive	adaptive	ADJ
cana-2211	39	7	mesh	mesh	NOUN
cana-2211	39	8	refining	refining	NOUN
cana-2211	39	9	strategy	strategy	NOUN
cana-2211	39	10	and	and	CCONJ
cana-2211	39	11	considered	consider	VERB
cana-2211	39	12	numerical	numerical	ADJ
cana-2211	39	13	examples	example	NOUN
cana-2211	39	14	to	to	PART
cana-2211	39	15	test	test	VERB
cana-2211	39	16	the	the	DET
cana-2211	39	17	theoretical	theoretical	ADJ
cana-2211	39	18	findings	finding	NOUN
cana-2211	39	19	.	.	PUNCT
cana-2211	40	1	it	it	PRON
cana-2211	40	2	has	have	AUX
cana-2211	40	3	been	be	AUX
cana-2211	40	4	seen	see	VERB
cana-2211	40	5	that	that	PRON
cana-2211	40	6	streamline	streamline	VERB
cana-2211	40	7	upwind	upwind	NOUN
cana-2211	40	8	/	/	SYM
cana-2211	40	9	petrov	petrov	PROPN
cana-2211	40	10	-	-	PUNCT
cana-2211	40	11	galerkin	galerkin	PROPN
cana-2211	40	12	(	(	PUNCT
cana-2211	40	13	supg	supg	NOUN
cana-2211	40	14	)	)	PUNCT
cana-2211	40	15	method	method	NOUN
cana-2211	40	16	provides	provide	VERB
cana-2211	40	17	good	good	ADJ
cana-2211	40	18	approximate	approximate	ADJ
cana-2211	40	19	solution	solution	NOUN
cana-2211	40	20	in	in	ADP
cana-2211	40	21	the	the	DET
cana-2211	40	22	region	region	NOUN
cana-2211	40	23	where	where	SCONJ
cana-2211	40	24	there	there	PRON
cana-2211	40	25	is	be	VERB
cana-2211	40	26	no	no	DET
cana-2211	40	27	sharp	sharp	ADJ
cana-2211	40	28	change	change	NOUN
cana-2211	40	29	in	in	ADP
cana-2211	40	30	the	the	DET
cana-2211	40	31	solution	solution	NOUN
cana-2211	40	32	but	but	CCONJ
cana-2211	40	33	fails	fail	VERB
cana-2211	40	34	badly	badly	ADV
cana-2211	40	35	in	in	ADP
cana-2211	40	36	the	the	DET
cana-2211	40	37	small	small	ADJ
cana-2211	40	38	subregions	subregion	NOUN
cana-2211	40	39	of	of	ADP
cana-2211	40	40	sharp	sharp	ADJ
cana-2211	40	41	boundary	boundary	ADJ
cana-2211	40	42	layers	layer	NOUN
cana-2211	40	43	appearing	appear	VERB
cana-2211	40	44	in	in	ADP
cana-2211	40	45	the	the	DET
cana-2211	40	46	sol	sol	NOUN
cana-2211	40	47	.	.	PUNCT
cana-2211	41	1	of	of	ADP
cana-2211	41	2	singularly	singularly	ADV
cana-2211	41	3	perturbed	perturb	VERB
cana-2211	41	4	problems	problem	NOUN
cana-2211	41	5	.	.	PUNCT
cana-2211	42	1	it	it	PRON
cana-2211	42	2	has	have	AUX
cana-2211	42	3	been	be	AUX
cana-2211	42	4	observed	observe	VERB
cana-2211	42	5	that	that	SCONJ
cana-2211	42	6	occurrence	occurrence	NOUN
cana-2211	42	7	of	of	ADP
cana-2211	42	8	these	these	DET
cana-2211	42	9	nonphysical	nonphysical	ADJ
cana-2211	42	10	oscillations	oscillation	NOUN
cana-2211	42	11	in	in	ADP
cana-2211	42	12	the	the	DET
cana-2211	42	13	region	region	NOUN
cana-2211	42	14	of	of	ADP
cana-2211	42	15	sharp	sharp	ADJ
cana-2211	42	16	boundary	boundary	ADJ
cana-2211	42	17	layers	layer	NOUN
cana-2211	42	18	in	in	ADP
cana-2211	42	19	discrete	discrete	ADJ
cana-2211	42	20	solution	solution	NOUN
cana-2211	42	21	of	of	ADP
cana-2211	42	22	supg	supg	NOUN
cana-2211	42	23	method	method	NOUN
cana-2211	42	24	is	be	AUX
cana-2211	42	25	based	base	VERB
cana-2211	42	26	on	on	ADP
cana-2211	42	27	the	the	DET
cana-2211	42	28	fact	fact	NOUN
cana-2211	42	29	that	that	SCONJ
cana-2211	42	30	this	this	DET
cana-2211	42	31	scheme	scheme	NOUN
cana-2211	42	32	is	be	AUX
cana-2211	42	33	not	not	PART
cana-2211	42	34	monotonicity	monotonicity	NOUN
cana-2211	42	35	preserving	preserve	VERB
cana-2211	42	36	.	.	PUNCT
cana-2211	43	1	to	to	PART
cana-2211	43	2	overcome	overcome	VERB
cana-2211	43	3	this	this	DET
cana-2211	43	4	hurdle	hurdle	NOUN
cana-2211	43	5	,	,	PUNCT
cana-2211	43	6	in	in	ADP
cana-2211	43	7	the	the	DET
cana-2211	43	8	present	present	ADJ
cana-2211	43	9	work	work	NOUN
cana-2211	43	10	,	,	PUNCT
cana-2211	43	11	an	an	DET
cana-2211	43	12	effort	effort	NOUN
cana-2211	43	13	has	have	AUX
cana-2211	43	14	been	be	AUX
cana-2211	43	15	made	make	VERB
cana-2211	43	16	by	by	ADP
cana-2211	43	17	using	use	VERB
cana-2211	43	18	hughes	hughes	PROPN
cana-2211	43	19	stabilization	stabilization	NOUN
cana-2211	43	20	strategy	strategy	NOUN
cana-2211	43	21	[	[	X
cana-2211	43	22	6	6	X
cana-2211	43	23	]	]	PUNCT
cana-2211	43	24	alongwith	alongwith	NOUN
cana-2211	43	25	streamline	streamline	VERB
cana-2211	43	26	upwind	upwind	PROPN
cana-2211	43	27	/	/	SYM
cana-2211	43	28	petrov	petrov	PROPN
cana-2211	43	29	-	-	PUNCT
cana-2211	43	30	galerkin	galerkin	PROPN
cana-2211	43	31	(	(	PUNCT
cana-2211	43	32	supg	supg	NOUN
cana-2211	43	33	)	)	PUNCT
cana-2211	43	34	method	method	NOUN
cana-2211	43	35	.	.	PUNCT
cana-2211	44	1	this	this	PRON
cana-2211	44	2	corresponds	correspond	VERB
cana-2211	44	3	to	to	ADP
cana-2211	44	4	addition	addition	NOUN
cana-2211	44	5	of	of	ADP
cana-2211	44	6	one	one	NUM
cana-2211	44	7	more	more	ADJ
cana-2211	44	8	term	term	NOUN
cana-2211	44	9	in	in	ADP
cana-2211	44	10	the	the	DET
cana-2211	44	11	supg	supg	ADJ
cana-2211	44	12	discretization	discretization	NOUN
cana-2211	44	13	of	of	ADP
cana-2211	44	14	the	the	DET
cana-2211	44	15	considered	consider	VERB
cana-2211	44	16	convectiondiffusion	convectiondiffusion	NOUN
cana-2211	44	17	problem	problem	NOUN
cana-2211	44	18	.	.	PUNCT
cana-2211	45	1	a	a	DET
cana-2211	45	2	posteriori	posteriori	NOUN
cana-2211	45	3	error	error	NOUN
cana-2211	45	4	estimates	estimate	NOUN
cana-2211	45	5	have	have	AUX
cana-2211	45	6	been	be	AUX
cana-2211	45	7	obtained	obtain	VERB
cana-2211	45	8	for	for	ADP
cana-2211	45	9	the	the	DET
cana-2211	45	10	developed	develop	VERB
cana-2211	45	11	technique	technique	NOUN
cana-2211	45	12	.	.	PUNCT
cana-2211	46	1	communications	communication	NOUN
cana-2211	46	2	on	on	ADP
cana-2211	46	3	applied	apply	VERB
cana-2211	46	4	nonlinear	nonlinear	ADJ
cana-2211	46	5	analysis	analysis	NOUN
cana-2211	46	6	issn	issn	NOUN
cana-2211	46	7	:	:	PUNCT
cana-2211	46	8	1074	1074	NUM
cana-2211	46	9	-	-	PUNCT
cana-2211	46	10	133x	133x	NUM
cana-2211	46	11	vol	vol	NOUN
cana-2211	46	12	32	32	NUM
cana-2211	46	13	no	no	NOUN
cana-2211	46	14	.	.	PUNCT
cana-2211	47	1	1s	1s	NUM
cana-2211	47	2	(	(	PUNCT
cana-2211	47	3	2025	2025	NUM
cana-2211	47	4	)	)	PUNCT
cana-2211	47	5	474	474	NUM
cana-2211	47	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2211	48	1	the	the	DET
cana-2211	48	2	paper	paper	NOUN
cana-2211	48	3	is	be	AUX
cana-2211	48	4	organised	organise	VERB
cana-2211	48	5	as	as	SCONJ
cana-2211	48	6	follows	follow	VERB
cana-2211	48	7	:	:	PUNCT
cana-2211	48	8	in	in	ADP
cana-2211	48	9	section	section	NOUN
cana-2211	48	10	2	2	NUM
cana-2211	48	11	,	,	PUNCT
cana-2211	48	12	some	some	DET
cana-2211	48	13	notations	notation	NOUN
cana-2211	48	14	and	and	CCONJ
cana-2211	48	15	standard	standard	ADJ
cana-2211	48	16	norms	norm	NOUN
cana-2211	48	17	have	have	AUX
cana-2211	48	18	been	be	AUX
cana-2211	48	19	discussed	discuss	VERB
cana-2211	48	20	.	.	PUNCT
cana-2211	49	1	then	then	ADV
cana-2211	49	2	the	the	DET
cana-2211	49	3	variational	variational	ADJ
cana-2211	49	4	formulation	formulation	NOUN
cana-2211	49	5	and	and	CCONJ
cana-2211	49	6	hughes	hughes	NOUN
cana-2211	49	7	stabilized	stabilize	VERB
cana-2211	49	8	streamline	streamline	NOUN
cana-2211	49	9	upwind	upwind	PROPN
cana-2211	49	10	finite	finite	ADJ
cana-2211	49	11	element	element	NOUN
cana-2211	49	12	approximation	approximation	NOUN
cana-2211	49	13	of	of	ADP
cana-2211	49	14	the	the	DET
cana-2211	49	15	continuous	continuous	ADJ
cana-2211	49	16	problem	problem	NOUN
cana-2211	49	17	have	have	AUX
cana-2211	49	18	been	be	AUX
cana-2211	49	19	discussed	discuss	VERB
cana-2211	49	20	.	.	PUNCT
cana-2211	50	1	section	section	NOUN
cana-2211	50	2	3	3	NUM
cana-2211	50	3	deals	deal	NOUN
cana-2211	50	4	with	with	ADP
cana-2211	50	5	some	some	DET
cana-2211	50	6	important	important	ADJ
cana-2211	50	7	tools	tool	NOUN
cana-2211	50	8	which	which	PRON
cana-2211	50	9	are	be	AUX
cana-2211	50	10	essential	essential	ADJ
cana-2211	50	11	for	for	ADP
cana-2211	50	12	deriving	derive	VERB
cana-2211	50	13	reliable	reliable	ADJ
cana-2211	50	14	error	error	NOUN
cana-2211	50	15	estimates	estimate	NOUN
cana-2211	50	16	.	.	PUNCT
cana-2211	51	1	in	in	ADP
cana-2211	51	2	section	section	NOUN
cana-2211	51	3	4	4	NUM
cana-2211	51	4	,	,	PUNCT
cana-2211	51	5	residual	residual	ADJ
cana-2211	51	6	based	base	VERB
cana-2211	51	7	a	a	DET
cana-2211	51	8	posteriori	posteriori	NOUN
cana-2211	51	9	error	error	NOUN
cana-2211	51	10	estimates	estimate	NOUN
cana-2211	51	11	have	have	AUX
cana-2211	51	12	been	be	AUX
cana-2211	51	13	derived	derive	VERB
cana-2211	51	14	on	on	ADP
cana-2211	51	15	anisotropic	anisotropic	NOUN
cana-2211	51	16	meshes	mesh	NOUN
cana-2211	51	17	.	.	PUNCT
cana-2211	52	1	in	in	ADP
cana-2211	52	2	the	the	DET
cana-2211	52	3	last	last	ADJ
cana-2211	52	4	section	section	NOUN
cana-2211	52	5	5	5	NUM
cana-2211	52	6	,	,	PUNCT
cana-2211	52	7	concluding	conclude	VERB
cana-2211	52	8	remarks	remark	NOUN
cana-2211	52	9	have	have	AUX
cana-2211	52	10	been	be	AUX
cana-2211	52	11	made	make	VERB
cana-2211	52	12	.	.	PUNCT
cana-2211	53	1	2	2	NUM
cana-2211	53	2	hughes	hughe	NOUN
cana-2211	53	3	stabilized	stabilize	VERB
cana-2211	53	4	supg	supg	NOUN
cana-2211	53	5	technique	technique	NOUN
cana-2211	53	6	let	let	VERB
cana-2211	53	7	𝑊1,∞(ℾ)and	𝑊1,∞(ℾ)and	PROPN
cana-2211	53	8	𝐿∞(ℾ	𝐿∞(ℾ	PROPN
cana-2211	53	9	)	)	PUNCT
cana-2211	53	10	denote	denote	VERB
cana-2211	53	11	the	the	DET
cana-2211	53	12	usual	usual	ADJ
cana-2211	53	13	sobolev	sobolev	NOUN
cana-2211	53	14	space	space	NOUN
cana-2211	53	15	and	and	CCONJ
cana-2211	53	16	lebesgue	lebesgue	NOUN
cana-2211	53	17	space	space	NOUN
cana-2211	53	18	respectively	respectively	ADV
cana-2211	53	19	.	.	PUNCT
cana-2211	54	1	we	we	PRON
cana-2211	54	2	will	will	AUX
cana-2211	54	3	use	use	VERB
cana-2211	54	4	the	the	DET
cana-2211	54	5	notation	notation	NOUN
cana-2211	54	6	(	(	PUNCT
cana-2211	54	7	.	.	PUNCT
cana-2211	54	8	,	,	PUNCT
cana-2211	54	9	.	.	PUNCT
cana-2211	54	10	)	)	PUNCT
cana-2211	55	1	for	for	ADP
cana-2211	55	2	inner	inner	ADJ
cana-2211	55	3	product	product	NOUN
cana-2211	55	4	(	(	PUNCT
cana-2211	55	5	.,.)ℾ.	.,.)ℾ.	ADP
cana-2211	55	6	we	we	PRON
cana-2211	55	7	assume	assume	VERB
cana-2211	55	8	that	that	SCONJ
cana-2211	55	9	−	−	PROPN
cana-2211	55	10	1	1	NUM
cana-2211	55	11	2	2	NUM
cana-2211	55	12	∇.	∇.	NOUN
cana-2211	55	13	𝒃	𝒃	NOUN
cana-2211	55	14	+	+	CCONJ
cana-2211	55	15	𝑐	𝑐	NOUN
cana-2211	55	16	≥	≥	NOUN
cana-2211	55	17	𝑐0	𝑐0	VERB
cana-2211	55	18	>	>	X
cana-2211	55	19	0	0	PUNCT
cana-2211	56	1	on	on	ADP
cana-2211	56	2	ℾ.̅	ℾ.̅	PUNCT
cana-2211	56	3	for	for	ADP
cana-2211	56	4	any	any	DET
cana-2211	56	5	open	open	ADJ
cana-2211	56	6	and	and	CCONJ
cana-2211	56	7	bounded	bound	VERB
cana-2211	56	8	subset	subset	VERB
cana-2211	56	9	𝑇	𝑇	PROPN
cana-2211	56	10	⊂	⊂	PROPN
cana-2211	56	11	ℾ,̅	ℾ,̅	X
cana-2211	56	12	,	,	PUNCT
cana-2211	56	13	let	let	VERB
cana-2211	56	14	𝐻1(𝑇	𝐻1(𝑇	PROPN
cana-2211	56	15	)	)	PUNCT
cana-2211	56	16	be	be	VERB
cana-2211	56	17	the	the	DET
cana-2211	56	18	standard	standard	ADJ
cana-2211	56	19	sobolev	sobolev	ADJ
cana-2211	56	20	space	space	NOUN
cana-2211	56	21	.	.	PUNCT
cana-2211	57	1	let	let	VERB
cana-2211	57	2	𝑉0	𝑉0	VERB
cana-2211	58	1	=	=	SYM
cana-2211	58	2	{	{	PUNCT
cana-2211	58	3	𝑤	𝑤	ADP
cana-2211	58	4	∈	∈	PROPN
cana-2211	58	5	𝐻1(ℾ	𝐻1(ℾ	NOUN
cana-2211	58	6	)	)	PUNCT
cana-2211	58	7	,	,	PUNCT
cana-2211	58	8	𝑤	𝑤	ADP
cana-2211	58	9	=	=	SYM
cana-2211	58	10	0	0	NUM
cana-2211	58	11	𝑜𝑛	𝑜𝑛	PROPN
cana-2211	58	12	𝜕ℾ𝐷	𝜕ℾ𝐷	NOUN
cana-2211	58	13	}	}	PUNCT
cana-2211	58	14	.	.	PUNCT
cana-2211	59	1	since	since	SCONJ
cana-2211	59	2	,	,	PUNCT
cana-2211	59	3	our	our	PRON
cana-2211	59	4	objective	objective	NOUN
cana-2211	59	5	is	be	AUX
cana-2211	59	6	to	to	PART
cana-2211	59	7	bound	bind	VERB
cana-2211	59	8	the	the	DET
cana-2211	59	9	global	global	ADJ
cana-2211	59	10	error	error	NOUN
cana-2211	59	11	𝑤	𝑤	ADP
cana-2211	59	12	−	−	NOUN
cana-2211	59	13	𝑤ℎ	𝑤ℎ	X
cana-2211	59	14	in	in	ADP
cana-2211	59	15	energy	energy	NOUN
cana-2211	59	16	norm	norm	NOUN
cana-2211	59	17	,	,	PUNCT
cana-2211	59	18	so	so	SCONJ
cana-2211	59	19	we	we	PRON
cana-2211	59	20	define	define	VERB
cana-2211	59	21	the	the	DET
cana-2211	59	22	energy	energy	NOUN
cana-2211	59	23	norm	norm	NOUN
cana-2211	59	24	on	on	ADP
cana-2211	59	25	any	any	DET
cana-2211	59	26	bounded	bound	VERB
cana-2211	59	27	subset	subset	NOUN
cana-2211	59	28	𝑇	𝑇	PROPN
cana-2211	59	29	⊂	⊂	PROPN
cana-2211	59	30	ℾ̅	ℾ̅	NOUN
cana-2211	59	31	as	as	ADP
cana-2211	59	32	|||𝑤|||𝑇	|||𝑤|||𝑇	PROPN
cana-2211	59	33	2	2	NUM
cana-2211	59	34	=	=	NOUN
cana-2211	59	35	𝜖.	𝜖.	NOUN
cana-2211	59	36	||∇𝑤||𝑇	||∇𝑤||𝑇	NOUN
cana-2211	59	37	2	2	NUM
cana-2211	59	38	+	+	CCONJ
cana-2211	59	39	𝑐0|	𝑐0|	PRON
cana-2211	59	40	|𝑤||𝑇	|𝑤||𝑇	VERB
cana-2211	59	41	2	2	NUM
cana-2211	59	42	.	.	PUNCT
cana-2211	60	1	(	(	PUNCT
cana-2211	60	2	2.1	2.1	NUM
cana-2211	60	3	)	)	PUNCT
cana-2211	60	4	the	the	DET
cana-2211	60	5	finite	finite	PROPN
cana-2211	60	6	element	element	NOUN
cana-2211	60	7	weak	weak	ADJ
cana-2211	60	8	formulation	formulation	NOUN
cana-2211	60	9	of	of	ADP
cana-2211	60	10	(	(	PUNCT
cana-2211	60	11	1.1	1.1	NUM
cana-2211	60	12	)	)	PUNCT
cana-2211	60	13	is	be	AUX
cana-2211	60	14	given	give	VERB
cana-2211	60	15	as	as	ADP
cana-2211	60	16	:	:	PUNCT
cana-2211	60	17	find	find	VERB
cana-2211	60	18	𝑣	𝑣	ADP
cana-2211	60	19	∈	∈	PROPN
cana-2211	60	20	𝐻1(ℾ	𝐻1(ℾ	NOUN
cana-2211	60	21	)	)	PUNCT
cana-2211	60	22	such	such	ADJ
cana-2211	60	23	that	that	SCONJ
cana-2211	60	24	𝐵(𝑣	𝐵(𝑣	NOUN
cana-2211	60	25	,	,	PUNCT
cana-2211	60	26	𝑤	𝑤	ADJ
cana-2211	60	27	)	)	PUNCT
cana-2211	60	28	=	=	NOUN
cana-2211	60	29	<	<	X
cana-2211	60	30	𝐹	𝐹	PROPN
cana-2211	60	31	,	,	PUNCT
cana-2211	60	32	𝑤	𝑤	PART
cana-2211	60	33	>	>	X
cana-2211	60	34	,	,	PUNCT
cana-2211	60	35	(	(	PUNCT
cana-2211	60	36	2.2	2.2	NUM
cana-2211	60	37	)	)	PUNCT
cana-2211	60	38	where	where	SCONJ
cana-2211	60	39	𝐵(𝑣	𝐵(𝑣	X
cana-2211	60	40	,	,	PUNCT
cana-2211	60	41	𝑤	𝑤	ADP
cana-2211	60	42	)	)	PUNCT
cana-2211	60	43	=	=	SYM
cana-2211	60	44	𝜖(∇𝑣	𝜖(∇𝑣	NUM
cana-2211	60	45	,	,	PUNCT
cana-2211	60	46	∇𝑤	∇𝑤	NOUN
cana-2211	60	47	)	)	PUNCT
cana-2211	60	48	+	+	CCONJ
cana-2211	60	49	(	(	PUNCT
cana-2211	60	50	𝒃.	𝒃.	NOUN
cana-2211	60	51	∇𝑣	∇𝑣	PROPN
cana-2211	60	52	,	,	PUNCT
cana-2211	60	53	𝑤	𝑤	ADP
cana-2211	60	54	)	)	PUNCT
cana-2211	60	55	+	+	CCONJ
cana-2211	60	56	(	(	PUNCT
cana-2211	60	57	𝑐𝑣	𝑐𝑣	ADP
cana-2211	60	58	,	,	PUNCT
cana-2211	60	59	𝑤	𝑤	ADP
cana-2211	60	60	)	)	PUNCT
cana-2211	60	61	(	(	PUNCT
cana-2211	60	62	2.3	2.3	NUM
cana-2211	60	63	)	)	PUNCT
cana-2211	60	64	<	<	X
cana-2211	60	65	𝐹	𝐹	PROPN
cana-2211	60	66	,	,	PUNCT
cana-2211	60	67	𝑤	𝑤	X
cana-2211	60	68	>	>	PUNCT
cana-2211	60	69	=	=	SYM
cana-2211	60	70	(	(	PUNCT
cana-2211	60	71	𝑓	𝑓	PROPN
cana-2211	60	72	,	,	PUNCT
cana-2211	60	73	𝑤	𝑤	ADP
cana-2211	60	74	)	)	PUNCT
cana-2211	61	1	+	+	CCONJ
cana-2211	61	2	(	(	PUNCT
cana-2211	61	3	𝑔	𝑔	ADJ
cana-2211	61	4	,	,	PUNCT
cana-2211	61	5	𝑤)𝜕𝛺𝑁	𝑤)𝜕𝛺𝑁	NOUN
cana-2211	61	6	,	,	PUNCT
cana-2211	61	7	∀	∀	NOUN
cana-2211	61	8	𝑤	𝑤	ADP
cana-2211	61	9	∈	∈	PROPN
cana-2211	61	10	𝑉0	𝑉0	NOUN
cana-2211	61	11	.	.	PUNCT
cana-2211	62	1	the	the	DET
cana-2211	62	2	existence	existence	NOUN
cana-2211	62	3	and	and	CCONJ
cana-2211	62	4	uniqueness	uniqueness	NOUN
cana-2211	62	5	of	of	ADP
cana-2211	62	6	solution	solution	NOUN
cana-2211	62	7	of	of	ADP
cana-2211	62	8	above	above	ADP
cana-2211	62	9	weak	weak	ADJ
cana-2211	62	10	formulation	formulation	NOUN
cana-2211	62	11	(	(	PUNCT
cana-2211	62	12	2.2	2.2	NUM
cana-2211	62	13	)	)	PUNCT
cana-2211	62	14	can	can	AUX
cana-2211	62	15	be	be	AUX
cana-2211	62	16	confirmed	confirm	VERB
cana-2211	62	17	using	use	VERB
cana-2211	62	18	the	the	DET
cana-2211	62	19	lax	lax	PROPN
cana-2211	62	20	milgram	milgram	PROPN
cana-2211	62	21	lemma	lemma	PROPN
cana-2211	62	22	.	.	PUNCT
cana-2211	63	1	let	let	VERB
cana-2211	63	2	𝐹	𝐹	PROPN
cana-2211	63	3	=	=	PRON
cana-2211	63	4	{	{	PUNCT
cana-2211	63	5	ℾℎ	ℾℎ	PROPN
cana-2211	63	6	}	}	PUNCT
cana-2211	63	7	denote	denote	VERB
cana-2211	63	8	the	the	DET
cana-2211	63	9	family	family	NOUN
cana-2211	63	10	of	of	ADP
cana-2211	63	11	triangulations	triangulation	NOUN
cana-2211	63	12	of	of	ADP
cana-2211	63	13	ℾ.	ℾ.	PROPN
cana-2211	63	14	let	let	VERB
cana-2211	63	15	ℾℎ	ℾℎ	PROPN
cana-2211	63	16	be	be	AUX
cana-2211	63	17	triangulation	triangulation	NOUN
cana-2211	63	18	of	of	ADP
cana-2211	63	19	domain	domain	NOUN
cana-2211	63	20	ℾ	ℾ	ADP
cana-2211	63	21	consisting	consist	VERB
cana-2211	63	22	of	of	ADP
cana-2211	63	23	tetrahedrons	tetrahedron	NOUN
cana-2211	63	24	in	in	ADP
cana-2211	63	25	three	three	NUM
cana-2211	63	26	-	-	PUNCT
cana-2211	63	27	dimensions	dimension	NOUN
cana-2211	63	28	,	,	PUNCT
cana-2211	63	29	assuming	assume	VERB
cana-2211	63	30	only	only	ADV
cana-2211	63	31	admissible	admissible	ADJ
cana-2211	63	32	and	and	CCONJ
cana-2211	63	33	shape	shape	NOUN
cana-2211	63	34	-	-	PUNCT
cana-2211	63	35	regular	regular	ADJ
cana-2211	63	36	triangulation	triangulation	NOUN
cana-2211	63	37	in	in	ADP
cana-2211	63	38	ℾℎ.	ℾℎ.	PROPN
cana-2211	63	39	for	for	ADP
cana-2211	63	40	any	any	DET
cana-2211	63	41	tetrahedron	tetrahedron	NOUN
cana-2211	63	42	t	t	NOUN
cana-2211	63	43	with	with	ADP
cana-2211	63	44	face	face	NOUN
cana-2211	63	45	e	e	NOUN
cana-2211	63	46	,	,	PUNCT
cana-2211	63	47	we	we	PRON
cana-2211	63	48	define	define	VERB
cana-2211	63	49	𝑛𝑇,𝐸	𝑛𝑇,𝐸	NOUN
cana-2211	64	1	=	=	PRON
cana-2211	64	2	(	(	PUNCT
cana-2211	64	3	𝑛𝑥	𝑛𝑥	INTJ
cana-2211	64	4	,	,	PUNCT
cana-2211	64	5	𝑛𝑦	𝑛𝑦	NOUN
cana-2211	64	6	,	,	PUNCT
cana-2211	64	7	𝑛𝑧	𝑛𝑧	NOUN
cana-2211	64	8	)	)	PUNCT
cana-2211	64	9	to	to	PART
cana-2211	64	10	be	be	AUX
cana-2211	64	11	the	the	DET
cana-2211	64	12	unit	unit	NOUN
cana-2211	64	13	outward	outward	VERB
cana-2211	64	14	normal	normal	ADJ
cana-2211	64	15	vector	vector	NOUN
cana-2211	64	16	for	for	ADP
cana-2211	64	17	face	face	NOUN
cana-2211	64	18	e	e	NOUN
cana-2211	64	19	of	of	ADP
cana-2211	64	20	the	the	DET
cana-2211	64	21	tetrahedron	tetrahedron	NOUN
cana-2211	64	22	t.	t.	NOUN
cana-2211	64	23	let	let	VERB
cana-2211	64	24	𝑛𝐸	𝑛𝐸	NOUN
cana-2211	64	25	be	be	AUX
cana-2211	64	26	the	the	DET
cana-2211	64	27	normal	normal	ADJ
cana-2211	64	28	vector	vector	NOUN
cana-2211	64	29	for	for	ADP
cana-2211	64	30	face	face	NOUN
cana-2211	64	31	e	e	NOUN
cana-2211	64	32	obtained	obtain	VERB
cana-2211	64	33	from	from	ADP
cana-2211	64	34	𝑛𝑇,𝐸	𝑛𝑇,𝐸	NOUN
cana-2211	64	35	by	by	ADP
cana-2211	64	36	fixing	fix	VERB
cana-2211	64	37	any	any	PRON
cana-2211	64	38	of	of	ADP
cana-2211	64	39	two	two	NUM
cana-2211	64	40	normal	normal	ADJ
cana-2211	64	41	components	component	NOUN
cana-2211	64	42	.	.	PUNCT
cana-2211	65	1	2.1	2.1	NUM
cana-2211	65	2	supg	supg	NOUN
cana-2211	65	3	method	method	NOUN
cana-2211	65	4	we	we	PRON
cana-2211	65	5	define	define	VERB
cana-2211	65	6	𝑉ℎ	𝑉ℎ	PROPN
cana-2211	65	7	=	=	PUNCT
cana-2211	65	8	{	{	PUNCT
cana-2211	65	9	𝑤ℎ	𝑤ℎ	ADP
cana-2211	65	10	∈	∈	PROPN
cana-2211	65	11	𝐻1	𝐻1	NOUN
cana-2211	65	12	:	:	PUNCT
cana-2211	65	13	𝑤ℎ|𝑇	𝑤ℎ|𝑇	PROPN
cana-2211	65	14	∈	∈	PROPN
cana-2211	65	15	𝑃1(𝑇	𝑃1(𝑇	NUM
cana-2211	65	16	)	)	PUNCT
cana-2211	65	17	,	,	PUNCT
cana-2211	65	18	∀	∀	PUNCT
cana-2211	65	19	𝑇	𝑇	NOUN
cana-2211	65	20	∈	∈	NOUN
cana-2211	65	21	ℾ	ℾ	PROPN
cana-2211	65	22	ℎ	ℎ	PROPN
cana-2211	65	23	}	}	PUNCT
cana-2211	65	24	,	,	PUNCT
cana-2211	65	25	where	where	SCONJ
cana-2211	65	26	𝑃1(𝑇	𝑃1(𝑇	NUM
cana-2211	65	27	)	)	PUNCT
cana-2211	65	28	is	be	AUX
cana-2211	65	29	the	the	DET
cana-2211	65	30	space	space	NOUN
cana-2211	65	31	of	of	ADP
cana-2211	65	32	linear	linear	ADJ
cana-2211	65	33	polynomials	polynomial	NOUN
cana-2211	65	34	over	over	ADP
cana-2211	65	35	tetrahedron	tetrahedron	NOUN
cana-2211	65	36	t	t	PROPN
cana-2211	65	37	and	and	CCONJ
cana-2211	65	38	𝑉0	𝑉0	NOUN
cana-2211	65	39	ℎ	ℎ	PROPN
cana-2211	65	40	=	=	PUNCT
cana-2211	65	41	{	{	PUNCT
cana-2211	65	42	𝑤ℎ	𝑤ℎ	ADP
cana-2211	65	43	∈	∈	PROPN
cana-2211	66	1	𝑉ℎ	𝑉ℎ	NOUN
cana-2211	66	2	:	:	PUNCT
cana-2211	66	3	𝑤ℎ|𝜕ℾ𝐷	𝑤ℎ|𝜕ℾ𝐷	PROPN
cana-2211	66	4	=	=	SYM
cana-2211	66	5	0	0	NUM
cana-2211	66	6	}	}	PUNCT
cana-2211	66	7	.	.	PUNCT
cana-2211	67	1	the	the	DET
cana-2211	67	2	supg	supg	ADJ
cana-2211	67	3	method	method	NOUN
cana-2211	67	4	[	[	X
cana-2211	67	5	2	2	NUM
cana-2211	67	6	]	]	PUNCT
cana-2211	67	7	for	for	ADP
cana-2211	67	8	problem	problem	NOUN
cana-2211	67	9	(	(	PUNCT
cana-2211	67	10	1.1	1.1	NUM
cana-2211	67	11	)	)	PUNCT
cana-2211	67	12	is	be	AUX
cana-2211	67	13	given	give	VERB
cana-2211	67	14	by	by	ADP
cana-2211	67	15	find	find	VERB
cana-2211	67	16	𝑣ℎ	𝑣ℎ	ADP
cana-2211	67	17	∈	∈	NOUN
cana-2211	67	18	𝑉ℎ	𝑉ℎ	PROPN
cana-2211	67	19	such	such	ADJ
cana-2211	67	20	that	that	SCONJ
cana-2211	67	21	communications	communication	NOUN
cana-2211	67	22	on	on	ADP
cana-2211	67	23	applied	apply	VERB
cana-2211	67	24	nonlinear	nonlinear	ADJ
cana-2211	67	25	analysis	analysis	NOUN
cana-2211	67	26	issn	issn	NOUN
cana-2211	67	27	:	:	PUNCT
cana-2211	67	28	1074	1074	NUM
cana-2211	67	29	-	-	PUNCT
cana-2211	67	30	133x	133x	NUM
cana-2211	67	31	vol	vol	NOUN
cana-2211	67	32	32	32	NUM
cana-2211	67	33	no	no	NOUN
cana-2211	67	34	.	.	PUNCT
cana-2211	68	1	1s	1s	NUM
cana-2211	68	2	(	(	PUNCT
cana-2211	68	3	2025	2025	NUM
cana-2211	68	4	)	)	PUNCT
cana-2211	68	5	475	475	NUM
cana-2211	68	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2211	68	7	𝑩𝜌(𝑣ℎ	𝑩𝜌(𝑣ℎ	NOUN
cana-2211	68	8	,	,	PUNCT
cana-2211	68	9	𝑤ℎ	𝑤ℎ	VERB
cana-2211	68	10	)	)	PUNCT
cana-2211	68	11	=	=	NOUN
cana-2211	68	12	<	<	X
cana-2211	68	13	𝐹	𝐹	PROPN
cana-2211	68	14	,	,	PUNCT
cana-2211	68	15	𝑤ℎ	𝑤ℎ	ADP
cana-2211	68	16	>	>	X
cana-2211	68	17	∀	∀	X
cana-2211	69	1	𝑤ℎ	𝑤ℎ	ADP
cana-2211	69	2	∈	∈	PROPN
cana-2211	69	3	𝑉0	𝑉0	NOUN
cana-2211	69	4	ℎ	ℎ	PROPN
cana-2211	69	5	,	,	PUNCT
cana-2211	69	6	(	(	PUNCT
cana-2211	69	7	2.1.4	2.1.4	NUM
cana-2211	69	8	)	)	PUNCT
cana-2211	69	9	where	where	SCONJ
cana-2211	69	10	𝑩𝜌(𝑣ℎ	𝑩𝜌(𝑣ℎ	NOUN
cana-2211	69	11	,	,	PUNCT
cana-2211	69	12	𝑤ℎ	𝑤ℎ	VERB
cana-2211	69	13	)	)	PUNCT
cana-2211	69	14	=	=	SYM
cana-2211	69	15	𝑩(𝑣ℎ	𝑩(𝑣ℎ	NOUN
cana-2211	69	16	,	,	PUNCT
cana-2211	69	17	𝑤ℎ)+	𝑤ℎ)+	X
cana-2211	69	18	<	<	X
cana-2211	69	19	𝑅ℎ(𝑣ℎ	𝑅ℎ(𝑣ℎ	NOUN
cana-2211	69	20	)	)	PUNCT
cana-2211	69	21	,	,	PUNCT
cana-2211	69	22	𝜌𝒃.	𝜌𝒃.	X
cana-2211	69	23	∇ℎ𝑤ℎ	∇ℎ𝑤ℎ	VERB
cana-2211	69	24	>	>	X
cana-2211	69	25	and	and	CCONJ
cana-2211	69	26	<	<	X
cana-2211	69	27	𝑅ℎ(𝑣ℎ	𝑅ℎ(𝑣ℎ	NOUN
cana-2211	69	28	)	)	PUNCT
cana-2211	69	29	,	,	PUNCT
cana-2211	69	30	𝜌𝒃.	𝜌𝒃.	X
cana-2211	69	31	∇ℎ𝑤ℎ	∇ℎ𝑤ℎ	VERB
cana-2211	69	32	>	>	PUNCT
cana-2211	69	33	=	=	PUNCT
cana-2211	69	34	∑	∑	PUNCT
cana-2211	69	35	𝜌𝑇𝑇∈ℾ	𝜌𝑇𝑇∈ℾ	NOUN
cana-2211	69	36	ℎ	ℎ	X
cana-2211	69	37	(	(	PUNCT
cana-2211	69	38	−𝜖∆ℎ𝑣ℎ	−𝜖∆ℎ𝑣ℎ	PROPN
cana-2211	69	39	+	+	CCONJ
cana-2211	69	40	𝒃.	𝒃.	NOUN
cana-2211	69	41	∇ℎ𝑣ℎ	∇ℎ𝑣ℎ	VERB
cana-2211	69	42	+	+	CCONJ
cana-2211	69	43	𝑐𝑣ℎ	𝑐𝑣ℎ	ADJ
cana-2211	69	44	−	−	PROPN
cana-2211	70	1	𝑓	𝑓	X
cana-2211	70	2	,	,	PUNCT
cana-2211	70	3	𝒃.	𝒃.	NOUN
cana-2211	70	4	∇ℎ𝑤ℎ)𝑇	∇ℎ𝑤ℎ)𝑇	NOUN
cana-2211	70	5	,	,	PUNCT
cana-2211	70	6	𝜌	𝜌	X
cana-2211	70	7	is	be	AUX
cana-2211	70	8	nonnegative	nonnegative	ADJ
cana-2211	70	9	stabilization	stabilization	NOUN
cana-2211	70	10	parameter	parameter	NOUN
cana-2211	70	11	,	,	PUNCT
cana-2211	70	12	𝑩(𝑣	𝑩(𝑣	PROPN
cana-2211	70	13	,	,	PUNCT
cana-2211	70	14	𝑤)and	𝑤)and	NOUN
cana-2211	70	15	<	<	X
cana-2211	70	16	f	f	X
cana-2211	70	17	,	,	PUNCT
cana-2211	70	18	w	w	ADJ
cana-2211	70	19	>	>	X
cana-2211	70	20	are	be	AUX
cana-2211	70	21	defined	define	VERB
cana-2211	70	22	in	in	ADP
cana-2211	70	23	(	(	PUNCT
cana-2211	70	24	2.3	2.3	NUM
cana-2211	70	25	)	)	PUNCT
cana-2211	70	26	.	.	PUNCT
cana-2211	71	1	hughes	hughe	NOUN
cana-2211	71	2	stabilized	stabilize	VERB
cana-2211	71	3	supg	supg	NOUN
cana-2211	71	4	technique	technique	NOUN
cana-2211	71	5	as	as	SCONJ
cana-2211	71	6	is	be	AUX
cana-2211	71	7	well	well	ADV
cana-2211	71	8	known	know	VERB
cana-2211	71	9	that	that	SCONJ
cana-2211	71	10	convection	convection	NOUN
cana-2211	71	11	dominated	dominate	VERB
cana-2211	71	12	problems	problem	NOUN
cana-2211	71	13	exhibit	exhibit	VERB
cana-2211	71	14	nonphysical	nonphysical	ADJ
cana-2211	71	15	oscillations	oscillation	NOUN
cana-2211	71	16	at	at	ADP
cana-2211	71	17	layers	layer	NOUN
cana-2211	71	18	as	as	ADP
cana-2211	71	19	𝜖	𝜖	PROPN
cana-2211	71	20	decreases	decrease	NOUN
cana-2211	71	21	,	,	PUNCT
cana-2211	71	22	the	the	DET
cana-2211	71	23	solution	solution	NOUN
cana-2211	71	24	of	of	ADP
cana-2211	71	25	singularly	singularly	ADV
cana-2211	71	26	perturbed	perturb	VERB
cana-2211	71	27	problem	problem	NOUN
cana-2211	71	28	displays	display	VERB
cana-2211	71	29	boundary	boundary	ADJ
cana-2211	71	30	layers	layer	NOUN
cana-2211	71	31	.	.	PUNCT
cana-2211	72	1	since	since	SCONJ
cana-2211	72	2	the	the	DET
cana-2211	72	3	streamline	streamline	NOUN
cana-2211	72	4	upwind	upwind	NOUN
cana-2211	72	5	/	/	SYM
cana-2211	72	6	petrov	petrov	PROPN
cana-2211	72	7	-	-	PUNCT
cana-2211	72	8	galerkin	galerkin	PROPN
cana-2211	72	9	(	(	PUNCT
cana-2211	72	10	supg	supg	NOUN
cana-2211	72	11	)	)	PUNCT
cana-2211	72	12	method	method	NOUN
cana-2211	72	13	results	result	NOUN
cana-2211	72	14	in	in	ADP
cana-2211	72	15	good	good	ADJ
cana-2211	72	16	approximate	approximate	ADJ
cana-2211	72	17	solution	solution	NOUN
cana-2211	72	18	in	in	ADP
cana-2211	72	19	the	the	DET
cana-2211	72	20	region	region	NOUN
cana-2211	72	21	where	where	SCONJ
cana-2211	72	22	there	there	PRON
cana-2211	72	23	is	be	VERB
cana-2211	72	24	no	no	DET
cana-2211	72	25	sharp	sharp	ADJ
cana-2211	72	26	change	change	NOUN
cana-2211	72	27	in	in	ADP
cana-2211	72	28	the	the	DET
cana-2211	72	29	solution	solution	NOUN
cana-2211	72	30	but	but	CCONJ
cana-2211	72	31	fails	fail	VERB
cana-2211	72	32	drastically	drastically	ADV
cana-2211	72	33	in	in	ADP
cana-2211	72	34	the	the	DET
cana-2211	72	35	subregions	subregion	NOUN
cana-2211	72	36	of	of	ADP
cana-2211	72	37	sharp	sharp	ADJ
cana-2211	72	38	boundary	boundary	ADJ
cana-2211	72	39	layers	layer	NOUN
cana-2211	72	40	,	,	PUNCT
cana-2211	72	41	in	in	ADP
cana-2211	72	42	the	the	DET
cana-2211	72	43	trial	trial	NOUN
cana-2211	72	44	to	to	PART
cana-2211	72	45	overcome	overcome	VERB
cana-2211	72	46	this	this	DET
cana-2211	72	47	hurdle	hurdle	NOUN
cana-2211	72	48	,	,	PUNCT
cana-2211	72	49	we	we	PRON
cana-2211	72	50	propose	propose	VERB
cana-2211	72	51	hughes	hughes	PROPN
cana-2211	72	52	stabilization	stabilization	NOUN
cana-2211	72	53	technique	technique	NOUN
cana-2211	72	54	[	[	X
cana-2211	72	55	7	7	NUM
cana-2211	72	56	]	]	PUNCT
cana-2211	72	57	to	to	PART
cana-2211	72	58	supg	supg	VERB
cana-2211	72	59	method	method	NOUN
cana-2211	72	60	.	.	PUNCT
cana-2211	73	1	it	it	PRON
cana-2211	73	2	results	result	VERB
cana-2211	73	3	in	in	ADP
cana-2211	73	4	an	an	DET
cana-2211	73	5	addition	addition	NOUN
cana-2211	73	6	of	of	ADP
cana-2211	73	7	the	the	DET
cana-2211	73	8	term	term	NOUN
cana-2211	73	9	<	<	X
cana-2211	73	10	𝑅ℎ(𝑣ℎ	𝑅ℎ(𝑣ℎ	NOUN
cana-2211	73	11	)	)	PUNCT
cana-2211	73	12	,	,	PUNCT
cana-2211	73	13	𝜎𝒃ℎ.	𝜎𝒃ℎ.	NOUN
cana-2211	73	14	∇ℎ𝑤ℎ	∇ℎ𝑤ℎ	VERB
cana-2211	73	15	>	>	X
cana-2211	73	16	in	in	ADP
cana-2211	73	17	the	the	DET
cana-2211	73	18	supg	supg	PROPN
cana-2211	73	19	finite	finite	PROPN
cana-2211	73	20	element	element	PROPN
cana-2211	73	21	discretization	discretization	NOUN
cana-2211	73	22	of	of	ADP
cana-2211	73	23	the	the	DET
cana-2211	73	24	convection	convection	NOUN
cana-2211	73	25	-	-	PUNCT
cana-2211	73	26	diffusion	diffusion	NOUN
cana-2211	73	27	equation	equation	NOUN
cana-2211	73	28	where	where	SCONJ
cana-2211	73	29	𝒃ℎ	𝒃ℎ	AUX
cana-2211	73	30	=	=	PRON
cana-2211	73	31	{	{	PUNCT
cana-2211	73	32	(	(	PUNCT
cana-2211	73	33	𝒃.	𝒃.	PROPN
cana-2211	73	34	∇𝒗ℎ)∇𝑣ℎ	∇𝒗ℎ)∇𝑣ℎ	PROPN
cana-2211	73	35	|∇𝑣ℎ|2	|∇𝑣ℎ|2	PROPN
cana-2211	73	36	0	0	NUM
cana-2211	73	37	,	,	PUNCT
cana-2211	73	38	𝑖𝑓	𝑖𝑓	ADP
cana-2211	73	39	|∇𝑣ℎ|	|∇𝑣ℎ|	PROPN
cana-2211	74	1	=	=	SYM
cana-2211	74	2	0	0	NUM
cana-2211	74	3	,	,	PUNCT
cana-2211	74	4	𝑖𝑓	𝑖𝑓	ADP
cana-2211	74	5	|∇𝑣ℎ|	|∇𝑣ℎ|	ADJ
cana-2211	74	6	≠	≠	PROPN
cana-2211	74	7	0	0	NUM
cana-2211	74	8	,	,	PUNCT
cana-2211	74	9	(	(	PUNCT
cana-2211	74	10	2.2.1	2.2.1	NUM
cana-2211	74	11	)	)	PUNCT
cana-2211	74	12	and	and	CCONJ
cana-2211	74	13	𝜎	𝜎	PROPN
cana-2211	74	14	is	be	AUX
cana-2211	74	15	nonnegative	nonnegative	ADJ
cana-2211	74	16	stabilization	stabilization	NOUN
cana-2211	74	17	parameter	parameter	NOUN
cana-2211	74	18	.	.	PUNCT
cana-2211	75	1	this	this	DET
cana-2211	75	2	additional	additional	ADJ
cana-2211	75	3	term	term	NOUN
cana-2211	75	4	increases	increase	VERB
cana-2211	75	5	the	the	DET
cana-2211	75	6	robustness	robustness	NOUN
cana-2211	75	7	of	of	ADP
cana-2211	75	8	supg	supg	NOUN
cana-2211	75	9	method	method	NOUN
cana-2211	75	10	in	in	ADP
cana-2211	75	11	the	the	DET
cana-2211	75	12	boundary	boundary	ADJ
cana-2211	75	13	layer	layer	NOUN
cana-2211	75	14	region	region	NOUN
cana-2211	75	15	by	by	ADP
cana-2211	75	16	controlling	control	VERB
cana-2211	75	17	oscillations	oscillation	NOUN
cana-2211	75	18	.	.	PUNCT
cana-2211	76	1	using	use	VERB
cana-2211	76	2	hughes	hughes	PROPN
cana-2211	76	3	stabilization	stabilization	NOUN
cana-2211	76	4	technique	technique	NOUN
cana-2211	76	5	to	to	PART
cana-2211	76	6	supg	supg	VERB
cana-2211	76	7	finite	finite	PROPN
cana-2211	76	8	element	element	PROPN
cana-2211	76	9	method	method	NOUN
cana-2211	76	10	,	,	PUNCT
cana-2211	76	11	eq.(1.1	eq.(1.1	NOUN
cana-2211	76	12	)	)	PUNCT
cana-2211	76	13	is	be	AUX
cana-2211	76	14	discretized	discretize	VERB
cana-2211	76	15	as	as	SCONJ
cana-2211	76	16	follows	follow	VERB
cana-2211	76	17	:	:	PUNCT
cana-2211	76	18	find	find	VERB
cana-2211	76	19	𝑣ℎ	𝑣ℎ	ADP
cana-2211	76	20	∈	∈	NOUN
cana-2211	76	21	𝑉ℎ	𝑉ℎ	PROPN
cana-2211	76	22	such	such	ADJ
cana-2211	76	23	that	that	DET
cana-2211	76	24	𝑩𝜌,𝜎(𝑣ℎ	𝑩𝜌,𝜎(𝑣ℎ	NOUN
cana-2211	76	25	,	,	PUNCT
cana-2211	76	26	𝑤ℎ	𝑤ℎ	ADP
cana-2211	76	27	)	)	PUNCT
cana-2211	76	28	=	=	NOUN
cana-2211	76	29	<	<	X
cana-2211	76	30	𝐹	𝐹	PROPN
cana-2211	76	31	,	,	PUNCT
cana-2211	76	32	𝑤ℎ	𝑤ℎ	ADP
cana-2211	76	33	>	>	X
cana-2211	76	34	∀	∀	X
cana-2211	76	35	𝑤ℎ	𝑤ℎ	ADP
cana-2211	76	36	∈	∈	PROPN
cana-2211	77	1	𝑉0	𝑉0	NOUN
cana-2211	77	2	ℎ.	ℎ.	NOUN
cana-2211	77	3	(	(	PUNCT
cana-2211	77	4	2.2.2	2.2.2	NUM
cana-2211	77	5	)	)	PUNCT
cana-2211	77	6	here	here	ADV
cana-2211	77	7	𝑩𝜌,𝜎(𝑣ℎ	𝑩𝜌,𝜎(𝑣ℎ	NOUN
cana-2211	77	8	,	,	PUNCT
cana-2211	77	9	𝑤ℎ	𝑤ℎ	ADJ
cana-2211	77	10	)	)	PUNCT
cana-2211	77	11	=	=	SYM
cana-2211	77	12	𝑩(𝑣ℎ	𝑩(𝑣ℎ	NOUN
cana-2211	77	13	,	,	PUNCT
cana-2211	77	14	𝑤ℎ)+	𝑤ℎ)+	ADV
cana-2211	77	15	<	<	X
cana-2211	77	16	𝑅ℎ(𝑣ℎ	𝑅ℎ(𝑣ℎ	NOUN
cana-2211	77	17	)	)	PUNCT
cana-2211	77	18	,	,	PUNCT
cana-2211	77	19	𝜌𝒃.	𝜌𝒃.	X
cana-2211	77	20	∇ℎ𝑤ℎ	∇ℎ𝑤ℎ	VERB
cana-2211	77	21	>	>	X
cana-2211	78	1	+	+	ADP
cana-2211	78	2	<	<	X
cana-2211	78	3	𝑅ℎ(𝑣ℎ	𝑅ℎ(𝑣ℎ	NOUN
cana-2211	78	4	)	)	PUNCT
cana-2211	78	5	,	,	PUNCT
cana-2211	78	6	𝜎𝒃ℎ.	𝜎𝒃ℎ.	NOUN
cana-2211	78	7	∇ℎ𝑤ℎ	∇ℎ𝑤ℎ	VERB
cana-2211	78	8	>	>	X
cana-2211	78	9	and	and	CCONJ
cana-2211	78	10	<	<	X
cana-2211	78	11	𝑅ℎ(𝑣ℎ	𝑅ℎ(𝑣ℎ	NOUN
cana-2211	78	12	)	)	PUNCT
cana-2211	78	13	,	,	PUNCT
cana-2211	78	14	𝜎𝒃ℎ.	𝜎𝒃ℎ.	NOUN
cana-2211	78	15	∇ℎ𝑤ℎ	∇ℎ𝑤ℎ	VERB
cana-2211	78	16	>	>	PUNCT
cana-2211	78	17	=	=	PUNCT
cana-2211	78	18	∑	∑	PUNCT
cana-2211	78	19	𝜎𝑇(−𝜖∆ℎ𝑣ℎ𝑇∈ℾℎ	𝜎𝑇(−𝜖∆ℎ𝑣ℎ𝑇∈ℾℎ	PROPN
cana-2211	78	20	+	+	CCONJ
cana-2211	78	21	𝒃.	𝒃.	NOUN
cana-2211	78	22	∇ℎ𝑣ℎ	∇ℎ𝑣ℎ	NOUN
cana-2211	78	23	+	+	CCONJ
cana-2211	78	24	𝑐𝑣ℎ	𝑐𝑣ℎ	ADJ
cana-2211	78	25	−	−	PROPN
cana-2211	78	26	𝑓	𝑓	PROPN
cana-2211	78	27	,	,	PUNCT
cana-2211	78	28	𝒃ℎ.	𝒃ℎ.	X
cana-2211	78	29	∇ℎ𝑤ℎ)𝑇.	∇ℎ𝑤ℎ)𝑇.	X
cana-2211	78	30	let	let	VERB
cana-2211	78	31	𝜌𝑇	𝜌𝑇	ADJ
cana-2211	78	32	and	and	CCONJ
cana-2211	78	33	𝜎𝑇	𝜎𝑇	ADJ
cana-2211	78	34	be	be	VERB
cana-2211	78	35	stabilization	stabilization	NOUN
cana-2211	78	36	parameters	parameter	NOUN
cana-2211	78	37	over	over	ADP
cana-2211	78	38	each	each	DET
cana-2211	78	39	element	element	NOUN
cana-2211	78	40	t.	t.	NOUN
cana-2211	78	41	the	the	DET
cana-2211	78	42	existence	existence	NOUN
cana-2211	78	43	and	and	CCONJ
cana-2211	78	44	uniqueness	uniqueness	NOUN
cana-2211	78	45	of	of	ADP
cana-2211	78	46	the	the	DET
cana-2211	78	47	finite	finite	ADJ
cana-2211	78	48	element	element	NOUN
cana-2211	78	49	solution	solution	NOUN
cana-2211	78	50	𝑣ℎ	𝑣ℎ	ADP
cana-2211	78	51	obtained	obtain	VERB
cana-2211	78	52	using	use	VERB
cana-2211	78	53	supg	supg	PROPN
cana-2211	78	54	finite	finite	PROPN
cana-2211	78	55	element	element	PROPN
cana-2211	78	56	discretization	discretization	NOUN
cana-2211	78	57	has	have	AUX
cana-2211	78	58	been	be	AUX
cana-2211	78	59	proved	prove	VERB
cana-2211	78	60	by	by	ADP
cana-2211	78	61	roos	roo	NOUN
cana-2211	78	62	et	et	PROPN
cana-2211	78	63	al	al	PROPN
cana-2211	78	64	.	.	PUNCT
cana-2211	79	1	[	[	X
cana-2211	79	2	15	15	NUM
cana-2211	79	3	]	]	PUNCT
cana-2211	79	4	.	.	PUNCT
cana-2211	80	1	the	the	DET
cana-2211	80	2	stabilization	stabilization	NOUN
cana-2211	80	3	parameter	parameter	NOUN
cana-2211	80	4	𝜌𝑇	𝜌𝑇	ADJ
cana-2211	80	5	satisfies	satisfie	NOUN
cana-2211	80	6	0	0	NUM
cana-2211	80	7	≤	≤	NUM
cana-2211	80	8	𝜌𝑇	𝜌𝑇	ADJ
cana-2211	80	9	≤	≤	NUM
cana-2211	80	10	1	1	NUM
cana-2211	80	11	2	2	NUM
cana-2211	80	12	min{𝑐0||𝑐||∞,𝑇	min{𝑐0||𝑐||∞,𝑇	ADJ
cana-2211	80	13	−2	−2	NOUN
cana-2211	80	14	,	,	PUNCT
cana-2211	80	15	(	(	PUNCT
cana-2211	80	16	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	80	17	𝑇	𝑇	PROPN
cana-2211	80	18	)	)	PUNCT
cana-2211	80	19	−2𝜖−1𝜗−2	−2𝜖−1𝜗−2	PROPN
cana-2211	80	20	}	}	PUNCT
cana-2211	80	21	,	,	PUNCT
cana-2211	80	22	(	(	PUNCT
cana-2211	80	23	2.2.3	2.2.3	X
cana-2211	80	24	)	)	PUNCT
cana-2211	80	25	where	where	SCONJ
cana-2211	80	26	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	80	27	𝑇	𝑇	PROPN
cana-2211	80	28	is	be	AUX
cana-2211	80	29	minimal	minimal	ADJ
cana-2211	80	30	length	length	NOUN
cana-2211	80	31	of	of	ADP
cana-2211	80	32	element	element	NOUN
cana-2211	80	33	t	t	PROPN
cana-2211	80	34	and	and	CCONJ
cana-2211	80	35	the	the	DET
cana-2211	80	36	constant	constant	ADJ
cana-2211	80	37	𝜗	𝜗	NOUN
cana-2211	80	38	satisfies	satisfy	VERB
cana-2211	80	39	the	the	DET
cana-2211	80	40	inequality	inequality	NOUN
cana-2211	80	41	||∇.	||∇.	PUNCT
cana-2211	81	1	∇𝑣ℎ||𝑇	∇𝑣ℎ||𝑇	X
cana-2211	81	2	≤	≤	NUM
cana-2211	81	3	𝜗(ℎ𝑚𝑖𝑛	𝜗(ℎ𝑚𝑖𝑛	NUM
cana-2211	81	4	𝑇	𝑇	PROPN
cana-2211	81	5	)	)	PUNCT
cana-2211	81	6	−1||∇𝑣ℎ||𝑇	−1||∇𝑣ℎ||𝑇	NOUN
cana-2211	81	7	∀𝑣ℎ	∀𝑣ℎ	PROPN
cana-2211	81	8	∈	∈	PROPN
cana-2211	81	9	𝑉0	𝑉0	NOUN
cana-2211	81	10	ℎ.	ℎ.	NOUN
cana-2211	81	11	(	(	PUNCT
cana-2211	81	12	2.2.4	2.2.4	NUM
cana-2211	81	13	)	)	PUNCT
cana-2211	81	14	it	it	PRON
cana-2211	81	15	can	can	AUX
cana-2211	81	16	be	be	AUX
cana-2211	81	17	observed	observe	VERB
cana-2211	81	18	that	that	SCONJ
cana-2211	81	19	𝜗	𝜗	NOUN
cana-2211	81	20	=	=	SYM
cana-2211	81	21	0	0	NUM
cana-2211	81	22	for	for	ADP
cana-2211	81	23	piecewise	piecewise	NOUN
cana-2211	81	24	linear	linear	NOUN
cana-2211	81	25	functions	function	NOUN
cana-2211	81	26	in	in	ADP
cana-2211	81	27	𝑉0	𝑉0	NOUN
cana-2211	81	28	ℎ	ℎ	PROPN
cana-2211	81	29	.	.	PUNCT
cana-2211	82	1	therefore	therefore	ADV
cana-2211	82	2	,	,	PUNCT
cana-2211	82	3	the	the	DET
cana-2211	82	4	above	above	ADJ
cana-2211	82	5	bounds	bound	NOUN
cana-2211	82	6	reduces	reduce	VERB
cana-2211	82	7	to	to	ADP
cana-2211	82	8	0	0	NUM
cana-2211	82	9	≤	≤	NOUN
cana-2211	82	10	𝜌𝑇	𝜌𝑇	ADJ
cana-2211	82	11	≤	≤	ADJ
cana-2211	82	12	𝑐0	𝑐0	NOUN
cana-2211	82	13	2	2	NUM
cana-2211	82	14	||𝑐||∞,𝑇	||𝑐||∞,𝑇	NOUN
cana-2211	82	15	−2	−2	NOUN
cana-2211	82	16	.	.	PUNCT
cana-2211	83	1	for	for	ADP
cana-2211	83	2	easiness	easiness	NOUN
cana-2211	83	3	,	,	PUNCT
cana-2211	83	4	we	we	PRON
cana-2211	83	5	will	will	AUX
cana-2211	83	6	use	use	VERB
cana-2211	83	7	𝑐	𝑐	PROPN
cana-2211	83	8	≾	≾	PROPN
cana-2211	83	9	𝑑	𝑑	PRON
cana-2211	83	10	to	to	PART
cana-2211	83	11	denote	denote	VERB
cana-2211	83	12	that	that	SCONJ
cana-2211	83	13	there	there	PRON
cana-2211	83	14	exists	exist	VERB
cana-2211	83	15	a	a	DET
cana-2211	83	16	positive	positive	ADJ
cana-2211	83	17	constant	constant	NOUN
cana-2211	83	18	a	a	DET
cana-2211	83	19	independent	independent	NOUN
cana-2211	83	20	of	of	ADP
cana-2211	83	21	c	c	PROPN
cana-2211	83	22	,	,	PUNCT
cana-2211	83	23	d	d	NOUN
cana-2211	83	24	,	,	PUNCT
cana-2211	83	25	ℾ	ℾ	ADP
cana-2211	83	26	ℎ	ℎ	PROPN
cana-2211	83	27	and	and	CCONJ
cana-2211	83	28	𝜖	𝜖	X
cana-2211	83	29	such	such	ADJ
cana-2211	83	30	that	that	SCONJ
cana-2211	83	31	𝑐	𝑐	PROPN
cana-2211	83	32	≤	≤	NUM
cana-2211	83	33	𝐴𝑑.	𝐴𝑑.	PROPN
cana-2211	83	34	further	far	ADV
cana-2211	83	35	,	,	PUNCT
cana-2211	83	36	we	we	PRON
cana-2211	83	37	assume	assume	VERB
cana-2211	83	38	that	that	SCONJ
cana-2211	83	39	𝜌𝑇	𝜌𝑇	PROPN
cana-2211	83	40	≾	≾	PROPN
cana-2211	83	41	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	83	42	𝑇	𝑇	PROPN
cana-2211	83	43	||𝒃||∞,t	||𝒃||∞,t	ADJ
cana-2211	83	44	−1	−1	NOUN
cana-2211	83	45	∀	∀	NOUN
cana-2211	83	46	𝑇	𝑇	NOUN
cana-2211	83	47	∈	∈	NOUN
cana-2211	83	48	ℾ	ℾ	PROPN
cana-2211	83	49	ℎ	ℎ	NOUN
cana-2211	83	50	.	.	PUNCT
cana-2211	84	1	(	(	PUNCT
cana-2211	84	2	2.2.5	2.2.5	NUM
cana-2211	84	3	)	)	PUNCT
cana-2211	84	4	.	.	PUNCT
cana-2211	85	1	communications	communication	NOUN
cana-2211	85	2	on	on	ADP
cana-2211	85	3	applied	apply	VERB
cana-2211	85	4	nonlinear	nonlinear	ADJ
cana-2211	85	5	analysis	analysis	NOUN
cana-2211	85	6	issn	issn	NOUN
cana-2211	85	7	:	:	PUNCT
cana-2211	85	8	1074	1074	NUM
cana-2211	85	9	-	-	PUNCT
cana-2211	85	10	133x	133x	NUM
cana-2211	85	11	vol	vol	NOUN
cana-2211	85	12	32	32	NUM
cana-2211	85	13	no	no	NOUN
cana-2211	85	14	.	.	PUNCT
cana-2211	86	1	1s	1s	NUM
cana-2211	86	2	(	(	PUNCT
cana-2211	86	3	2025	2025	NUM
cana-2211	86	4	)	)	PUNCT
cana-2211	86	5	476	476	NUM
cana-2211	86	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2211	86	7	3	3	NUM
cana-2211	86	8	some	some	DET
cana-2211	86	9	auxiliary	auxiliary	ADJ
cana-2211	86	10	tools	tool	NOUN
cana-2211	86	11	since	since	SCONJ
cana-2211	86	12	the	the	DET
cana-2211	86	13	considered	consider	VERB
cana-2211	86	14	singularly	singularly	ADV
cana-2211	86	15	perturbed	perturb	VERB
cana-2211	86	16	problem	problem	NOUN
cana-2211	86	17	displays	display	VERB
cana-2211	86	18	abrupt	abrupt	ADJ
cana-2211	86	19	changes	change	NOUN
cana-2211	86	20	in	in	ADP
cana-2211	86	21	the	the	DET
cana-2211	86	22	solution	solution	NOUN
cana-2211	86	23	when	when	SCONJ
cana-2211	86	24	peclet	peclet	NOUN
cana-2211	86	25	number	number	NOUN
cana-2211	86	26	becomes	become	VERB
cana-2211	86	27	very	very	ADV
cana-2211	86	28	large	large	ADJ
cana-2211	86	29	as	as	ADP
cana-2211	86	30	clear	clear	ADJ
cana-2211	86	31	from	from	ADP
cana-2211	86	32	(	(	PUNCT
cana-2211	86	33	3.2	3.2	NUM
cana-2211	86	34	)	)	PUNCT
cana-2211	86	35	,	,	PUNCT
cana-2211	86	36	in	in	ADP
cana-2211	86	37	such	such	ADJ
cana-2211	86	38	situations	situation	NOUN
cana-2211	86	39	,	,	PUNCT
cana-2211	86	40	elements	element	NOUN
cana-2211	86	41	with	with	ADP
cana-2211	86	42	large	large	ADJ
cana-2211	86	43	aspect	aspect	NOUN
cana-2211	86	44	ratio	ratio	NOUN
cana-2211	86	45	i.e.	i.e.	X
cana-2211	86	46	anisotropic	anisotropic	NOUN
cana-2211	86	47	meshes	mesh	NOUN
cana-2211	86	48	are	be	AUX
cana-2211	86	49	preferred	prefer	VERB
cana-2211	86	50	.	.	PUNCT
cana-2211	87	1	therefore	therefore	ADV
cana-2211	87	2	,	,	PUNCT
cana-2211	87	3	in	in	ADP
cana-2211	87	4	the	the	DET
cana-2211	87	5	present	present	ADJ
cana-2211	87	6	work	work	NOUN
cana-2211	87	7	,	,	PUNCT
cana-2211	87	8	anisotropic	anisotropic	NOUN
cana-2211	87	9	mesh	mesh	NOUN
cana-2211	87	10	has	have	AUX
cana-2211	87	11	been	be	AUX
cana-2211	87	12	considered	consider	VERB
cana-2211	87	13	for	for	ADP
cana-2211	87	14	domain	domain	NOUN
cana-2211	87	15	discretization	discretization	NOUN
cana-2211	87	16	.	.	PUNCT
cana-2211	88	1	in	in	ADP
cana-2211	88	2	the	the	DET
cana-2211	88	3	present	present	ADJ
cana-2211	88	4	section	section	NOUN
cana-2211	88	5	,	,	PUNCT
cana-2211	88	6	some	some	DET
cana-2211	88	7	notations	notation	NOUN
cana-2211	88	8	on	on	ADP
cana-2211	88	9	anisotropic	anisotropic	NOUN
cana-2211	88	10	meshes	mesh	NOUN
cana-2211	88	11	have	have	AUX
cana-2211	88	12	been	be	AUX
cana-2211	88	13	discussed	discuss	VERB
cana-2211	88	14	which	which	PRON
cana-2211	88	15	will	will	AUX
cana-2211	88	16	be	be	AUX
cana-2211	88	17	used	use	VERB
cana-2211	88	18	in	in	ADP
cana-2211	88	19	later	later	ADJ
cana-2211	88	20	sections	section	NOUN
cana-2211	88	21	.	.	PUNCT
cana-2211	89	1	notations	notation	NOUN
cana-2211	89	2	:	:	PUNCT
cana-2211	89	3	consider	consider	VERB
cana-2211	89	4	an	an	DET
cana-2211	89	5	arbitrary	arbitrary	ADJ
cana-2211	89	6	tetrahedron	tetrahedron	NOUN
cana-2211	89	7	𝑇	𝑇	NOUN
cana-2211	89	8	∈	∈	NOUN
cana-2211	89	9	ℾ	ℾ	ADJ
cana-2211	89	10	ℎ	ℎ	PROPN
cana-2211	89	11	with	with	ADP
cana-2211	89	12	𝑄0𝑄1as	𝑄0𝑄1as	CCONJ
cana-2211	89	13	longest	long	ADJ
cana-2211	89	14	edge	edge	NOUN
cana-2211	89	15	(	(	PUNCT
cana-2211	89	16	see	see	VERB
cana-2211	89	17	fig	fig	NOUN
cana-2211	89	18	.	.	PUNCT
cana-2211	90	1	1	1	NUM
cana-2211	90	2	)	)	PUNCT
cana-2211	90	3	.	.	PUNCT
cana-2211	91	1	represent	represent	VERB
cana-2211	91	2	three	three	NUM
cana-2211	91	3	orthogonal	orthogonal	ADJ
cana-2211	91	4	vectors	vector	NOUN
cana-2211	91	5	by	by	ADP
cana-2211	91	6	𝑞𝑖,𝑇	𝑞𝑖,𝑇	NOUN
cana-2211	91	7	with	with	ADP
cana-2211	91	8	lengths	length	NOUN
cana-2211	91	9	ℎ𝑖,𝑇	ℎ𝑖,𝑇	NOUN
cana-2211	91	10	=	=	SYM
cana-2211	91	11	|𝑞𝑖,𝑇|	|𝑞𝑖,𝑇|	PROPN
cana-2211	91	12	,	,	PUNCT
cana-2211	91	13	where	where	SCONJ
cana-2211	91	14	𝑞1,𝑇	𝑞1,𝑇	ADV
cana-2211	91	15	is	be	AUX
cana-2211	91	16	taken	take	VERB
cana-2211	91	17	along	along	ADP
cana-2211	91	18	the	the	DET
cana-2211	91	19	largest	large	ADJ
cana-2211	91	20	edge	edge	NOUN
cana-2211	91	21	.	.	PUNCT
cana-2211	92	1	from	from	ADP
cana-2211	92	2	fig	fig	NOUN
cana-2211	92	3	.	.	PUNCT
cana-2211	93	1	1	1	NUM
cana-2211	93	2	,	,	PUNCT
cana-2211	93	3	it	it	PRON
cana-2211	93	4	can	can	AUX
cana-2211	93	5	be	be	AUX
cana-2211	93	6	be	be	AUX
cana-2211	93	7	confirmed	confirm	VERB
cana-2211	93	8	that	that	SCONJ
cana-2211	93	9	ℎ1,𝑇	ℎ1,𝑇	VERB
cana-2211	93	10	>	>	X
cana-2211	93	11	ℎ2,𝑇	ℎ2,𝑇	ADJ
cana-2211	93	12	≥	≥	NOUN
cana-2211	93	13	ℎ3,𝑇.	ℎ3,𝑇.	PROPN
cana-2211	93	14	define	define	NOUN
cana-2211	93	15	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	93	16	𝑇	𝑇	PROPN
cana-2211	93	17	=	=	SYM
cana-2211	93	18	ℎ3,𝑇.	ℎ3,𝑇.	PROPN
cana-2211	93	19	these	these	DET
cana-2211	93	20	𝑞𝑖,𝑇′𝑠	𝑞𝑖,𝑇′𝑠	NOUN
cana-2211	93	21	correspond	correspond	VERB
cana-2211	93	22	to	to	ADP
cana-2211	93	23	three	three	NUM
cana-2211	93	24	anisotropic	anisotropic	NOUN
cana-2211	93	25	directions	direction	NOUN
cana-2211	93	26	.	.	PUNCT
cana-2211	94	1	define	define	VERB
cana-2211	94	2	an	an	DET
cana-2211	94	3	orthogonal	orthogonal	ADJ
cana-2211	94	4	matrix	matrix	NOUN
cana-2211	94	5	as	as	ADP
cana-2211	94	6	𝐶𝑇	𝐶𝑇	PROPN
cana-2211	94	7	=	=	SYM
cana-2211	94	8	(	(	PUNCT
cana-2211	94	9	𝑞1,𝑇	𝑞1,𝑇	ADV
cana-2211	94	10	,	,	PUNCT
cana-2211	94	11	𝑞2,𝑇	𝑞2,𝑇	PROPN
cana-2211	94	12	,	,	PUNCT
cana-2211	94	13	𝑞3,𝑇	𝑞3,𝑇	NOUN
cana-2211	94	14	)	)	PUNCT
cana-2211	94	15	∈	∈	PROPN
cana-2211	94	16	𝑅3𝑋3	𝑅3𝑋3	PROPN
cana-2211	94	17	.	.	PUNCT
cana-2211	95	1	let	let	VERB
cana-2211	95	2	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	95	3	be	be	AUX
cana-2211	95	4	scaling	scale	VERB
cana-2211	95	5	factor	factor	NOUN
cana-2211	95	6	defined	define	VERB
cana-2211	95	7	as	as	ADP
cana-2211	95	8	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	95	9	=	=	SYM
cana-2211	95	10	min	min	PROPN
cana-2211	95	11	{	{	PUNCT
cana-2211	95	12	𝑐	𝑐	NOUN
cana-2211	95	13	0	0	NUM
cana-2211	95	14	−	−	NOUN
cana-2211	95	15	1	1	NUM
cana-2211	95	16	2	2	NUM
cana-2211	95	17	,	,	PUNCT
cana-2211	95	18	𝜖−	𝜖−	NOUN
cana-2211	95	19	1	1	NUM
cana-2211	95	20	2	2	NUM
cana-2211	95	21	.	.	NOUN
cana-2211	95	22	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	95	23	𝑇	𝑇	PROPN
cana-2211	95	24	}	}	PUNCT
cana-2211	95	25	.	.	PUNCT
cana-2211	96	1	(	(	PUNCT
cana-2211	96	2	3.1	3.1	NUM
cana-2211	96	3	)	)	PUNCT
cana-2211	96	4	we	we	PRON
cana-2211	96	5	denote	denote	VERB
cana-2211	96	6	tetrahedron	tetrahedron	NOUN
cana-2211	96	7	by	by	ADP
cana-2211	96	8	t	t	PROPN
cana-2211	96	9	or	or	CCONJ
cana-2211	96	10	t	t	PROPN
cana-2211	96	11	'	'	PUNCT
cana-2211	96	12	or	or	CCONJ
cana-2211	96	13	𝑇𝑖	𝑇𝑖	PROPN
cana-2211	96	14	,	,	PUNCT
cana-2211	96	15	and	and	CCONJ
cana-2211	96	16	its	its	PRON
cana-2211	96	17	faces	face	NOUN
cana-2211	96	18	by	by	ADP
cana-2211	96	19	e.	e.	PROPN
cana-2211	96	20	denote	denote	VERB
cana-2211	96	21	its	its	PRON
cana-2211	96	22	height	height	NOUN
cana-2211	96	23	over	over	ADP
cana-2211	96	24	face	face	NOUN
cana-2211	96	25	e	e	NOUN
cana-2211	96	26	by	by	ADP
cana-2211	96	27	ℎ𝐸,𝑇	ℎ𝐸,𝑇	PROPN
cana-2211	96	28	=	=	SYM
cana-2211	97	1	3	3	X
cana-2211	97	2	.	.	X
cana-2211	97	3	|𝑇|	|𝑇|	NOUN
cana-2211	97	4	|𝐸|	|𝐸|	NOUN
cana-2211	97	5	,	,	PUNCT
cana-2211	97	6	where	where	SCONJ
cana-2211	97	7	|t|	|t|	NOUN
cana-2211	97	8	represents	represent	VERB
cana-2211	97	9	the	the	DET
cana-2211	97	10	volume	volume	NOUN
cana-2211	97	11	of	of	ADP
cana-2211	97	12	the	the	DET
cana-2211	97	13	tetrahedron	tetrahedron	NOUN
cana-2211	97	14	and	and	CCONJ
cana-2211	97	15	|e|	|e|	PROPN
cana-2211	97	16	represents	represent	VERB
cana-2211	97	17	the	the	DET
cana-2211	97	18	area	area	NOUN
cana-2211	97	19	of	of	ADP
cana-2211	97	20	the	the	DET
cana-2211	97	21	face	face	NOUN
cana-2211	97	22	e.	e.	PROPN
cana-2211	97	23	let	let	VERB
cana-2211	97	24	𝑤𝐸	𝑤𝐸	NOUN
cana-2211	97	25	be	be	AUX
cana-2211	97	26	the	the	DET
cana-2211	97	27	bounded	bounded	ADJ
cana-2211	97	28	domain	domain	NOUN
cana-2211	97	29	formed	form	VERB
cana-2211	97	30	by	by	ADP
cana-2211	97	31	using	use	VERB
cana-2211	97	32	two	two	NUM
cana-2211	97	33	tetrahedrons	tetrahedron	NOUN
cana-2211	97	34	with	with	ADP
cana-2211	97	35	common	common	ADJ
cana-2211	97	36	face	face	NOUN
cana-2211	97	37	e	e	NOUN
cana-2211	97	38	and	and	CCONJ
cana-2211	97	39	𝑤𝑇	𝑤𝑇	VERB
cana-2211	97	40	to	to	PART
cana-2211	97	41	be	be	AUX
cana-2211	97	42	the	the	DET
cana-2211	97	43	domain	domain	NOUN
cana-2211	97	44	consisting	consist	VERB
cana-2211	97	45	of	of	ADP
cana-2211	97	46	tetrahedron	tetrahedron	NOUN
cana-2211	97	47	t	t	PROPN
cana-2211	97	48	and	and	CCONJ
cana-2211	97	49	its	its	PRON
cana-2211	97	50	face	face	NOUN
cana-2211	97	51	neighbouring	neighbour	VERB
cana-2211	97	52	tetrahedra	tetrahedron	NOUN
cana-2211	97	53	.	.	PUNCT
cana-2211	98	1	we	we	PRON
cana-2211	98	2	denote	denote	VERB
cana-2211	98	3	the	the	DET
cana-2211	98	4	local	local	ADJ
cana-2211	98	5	mesh	mesh	NOUN
cana-2211	98	6	peclet	peclet	NOUN
cana-2211	98	7	number	number	NOUN
cana-2211	98	8	as	as	ADP
cana-2211	98	9	𝑃𝑒𝑇	𝑃𝑒𝑇	PROPN
cana-2211	98	10	=	=	SYM
cana-2211	98	11	||𝒃||∞,𝑇	||𝒃||∞,𝑇	PROPN
cana-2211	98	12	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	98	13	𝑇	𝑇	PROPN
cana-2211	98	14	2𝜖	2𝜖	NUM
cana-2211	98	15	,	,	PUNCT
cana-2211	98	16	(	(	PUNCT
cana-2211	98	17	3.2	3.2	NUM
cana-2211	98	18	)	)	PUNCT
cana-2211	98	19	where	where	SCONJ
cana-2211	98	20	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	98	21	𝑇	𝑇	PROPN
cana-2211	98	22	is	be	AUX
cana-2211	98	23	minimal	minimal	ADJ
cana-2211	98	24	length	length	NOUN
cana-2211	98	25	of	of	ADP
cana-2211	98	26	element	element	NOUN
cana-2211	98	27	t.	t.	PROPN
cana-2211	98	28	let	let	VERB
cana-2211	98	29	𝑃𝑒𝑤𝑇	𝑃𝑒𝑤𝑇	PROPN
cana-2211	98	30	=	=	PUNCT
cana-2211	98	31	𝑚𝑎𝑥𝑇′⊂𝑤𝑇	𝑚𝑎𝑥𝑇′⊂𝑤𝑇	NOUN
cana-2211	98	32	𝑃𝑒𝑇′	𝑃𝑒𝑇′	PUNCT
cana-2211	98	33	be	be	AUX
cana-2211	98	34	mesh	mesh	NOUN
cana-2211	98	35	peclet	peclet	NOUN
cana-2211	98	36	number	number	NOUN
cana-2211	98	37	on	on	ADP
cana-2211	98	38	the	the	DET
cana-2211	98	39	domain	domain	NOUN
cana-2211	98	40	𝑤𝑇.	𝑤𝑇.	NOUN
cana-2211	98	41	for	for	ADP
cana-2211	98	42	an	an	DET
cana-2211	98	43	interior	interior	ADJ
cana-2211	98	44	face	face	NOUN
cana-2211	98	45	e	e	NOUN
cana-2211	98	46	=	=	NOUN
cana-2211	98	47	𝑇1	𝑇1	PROPN
cana-2211	98	48	∩	∩	ADJ
cana-2211	98	49	𝑇2	𝑇2	NOUN
cana-2211	98	50	,	,	PUNCT
cana-2211	98	51	define	define	VERB
cana-2211	98	52	face	face	NOUN
cana-2211	98	53	based	base	VERB
cana-2211	98	54	parameters	parameter	NOUN
cana-2211	98	55	ℎ𝐸	ℎ𝐸	PUNCT
cana-2211	99	1	=	=	PUNCT
cana-2211	99	2	(	(	PUNCT
cana-2211	99	3	ℎ𝐸,𝑇1	ℎ𝐸,𝑇1	PROPN
cana-2211	99	4	+	+	CCONJ
cana-2211	99	5	ℎ𝐸,𝑇2	ℎ𝐸,𝑇2	PROPN
cana-2211	99	6	)	)	PUNCT
cana-2211	99	7	/2	/2	PROPN
cana-2211	99	8	,	,	PUNCT
cana-2211	99	9	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	99	10	𝐸	𝐸	PROPN
cana-2211	99	11	=	=	SYM
cana-2211	99	12	(	(	PUNCT
cana-2211	99	13	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	99	14	𝑇1	𝑇1	NOUN
cana-2211	99	15	+	+	PROPN
cana-2211	99	16	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	99	17	𝑇2	𝑇2	PROPN
cana-2211	99	18	)	)	PUNCT
cana-2211	99	19	/2	/2	PUNCT
cana-2211	100	1	+	+	CCONJ
cana-2211	100	2	and	and	CCONJ
cana-2211	100	3	𝛼𝐸	𝛼𝐸	NOUN
cana-2211	100	4	=	=	SYM
cana-2211	100	5	(	(	PUNCT
cana-2211	100	6	𝛼𝑇1	𝛼𝑇1	PROPN
cana-2211	100	7	+	+	CCONJ
cana-2211	100	8	𝛼𝑇2	𝛼𝑇2	PROPN
cana-2211	100	9	)	)	PUNCT
cana-2211	100	10	/2	/2	PUNCT
cana-2211	100	11	.	.	PUNCT
cana-2211	101	1	for	for	ADP
cana-2211	101	2	boundary	boundary	ADJ
cana-2211	101	3	face	face	NOUN
cana-2211	101	4	e⊂	e⊂	VERB
cana-2211	101	5	𝜕𝑇	𝜕𝑇	PROPN
cana-2211	101	6	∩	∩	X
cana-2211	101	7	𝜕ℾ	𝜕ℾ	NOUN
cana-2211	101	8	,	,	PUNCT
cana-2211	101	9	we	we	PRON
cana-2211	101	10	define	define	VERB
cana-2211	101	11	ℎ𝐸	ℎ𝐸	PUNCT
cana-2211	101	12	=	=	SYM
cana-2211	101	13	ℎ𝐸,𝑇	ℎ𝐸,𝑇	PROPN
cana-2211	101	14	,	,	PUNCT
cana-2211	101	15	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	101	16	𝐸	𝐸	PROPN
cana-2211	101	17	=	=	PUNCT
cana-2211	101	18	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	101	19	𝑇	𝑇	PROPN
cana-2211	101	20	and	and	CCONJ
cana-2211	101	21	𝛼𝐸	𝛼𝐸	NOUN
cana-2211	101	22	=	=	SYM
cana-2211	101	23	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	101	24	.	.	PUNCT
cana-2211	102	1	we	we	PRON
cana-2211	102	2	assume	assume	VERB
cana-2211	102	3	ℎ𝑖,𝑇~ℎ𝑖,𝑇′	ℎ𝑖,𝑇~ℎ𝑖,𝑇′	PROPN
cana-2211	102	4	∀𝑇	∀𝑇	PROPN
cana-2211	102	5	,	,	PUNCT
cana-2211	102	6	𝑇	𝑇	PROPN
cana-2211	102	7	′	′	NOUN
cana-2211	102	8	with	with	ADP
cana-2211	102	9	𝑇	𝑇	PROPN
cana-2211	102	10	∩	∩	ADJ
cana-2211	102	11	𝑇	𝑇	PROPN
cana-2211	102	12	′	′	NOUN
cana-2211	102	13	≠	≠	PROPN
cana-2211	102	14	∅	∅	NOUN
cana-2211	102	15	,	,	PUNCT
cana-2211	102	16	𝑖	𝑖	NOUN
cana-2211	102	17	=	=	NOUN
cana-2211	102	18	1,2,3	1,2,3	NUM
cana-2211	102	19	,	,	PUNCT
cana-2211	102	20	and	and	CCONJ
cana-2211	102	21	number	number	NOUN
cana-2211	102	22	of	of	ADP
cana-2211	102	23	tetrahedra	tetrahedron	NOUN
cana-2211	102	24	with	with	ADP
cana-2211	102	25	node	node	PROPN
cana-2211	102	26	𝑦𝑗	𝑦𝑗	PROPN
cana-2211	102	27	is	be	AUX
cana-2211	102	28	bounded	bound	VERB
cana-2211	102	29	uniformly	uniformly	ADV
cana-2211	102	30	.	.	PUNCT
cana-2211	103	1	communications	communication	NOUN
cana-2211	103	2	on	on	ADP
cana-2211	103	3	applied	apply	VERB
cana-2211	103	4	nonlinear	nonlinear	ADJ
cana-2211	103	5	analysis	analysis	NOUN
cana-2211	103	6	issn	issn	NOUN
cana-2211	103	7	:	:	PUNCT
cana-2211	103	8	1074	1074	NUM
cana-2211	103	9	-	-	PUNCT
cana-2211	103	10	133x	133x	NUM
cana-2211	103	11	vol	vol	NOUN
cana-2211	103	12	32	32	NUM
cana-2211	103	13	no	no	NOUN
cana-2211	103	14	.	.	PUNCT
cana-2211	104	1	1s	1s	NUM
cana-2211	104	2	(	(	PUNCT
cana-2211	104	3	2025	2025	NUM
cana-2211	104	4	)	)	PUNCT
cana-2211	104	5	477	477	NUM
cana-2211	104	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-2211	104	7	4	4	NUM
cana-2211	104	8	interpolation	interpolation	NOUN
cana-2211	104	9	till	till	SCONJ
cana-2211	104	10	now	now	ADV
cana-2211	104	11	,	,	PUNCT
cana-2211	104	12	very	very	ADV
cana-2211	104	13	few	few	ADJ
cana-2211	104	14	researchers	researcher	NOUN
cana-2211	104	15	have	have	AUX
cana-2211	104	16	proposed	propose	VERB
cana-2211	104	17	different	different	ADJ
cana-2211	104	18	a	a	DET
cana-2211	104	19	posteriori	posteriori	NOUN
cana-2211	104	20	error	error	NOUN
cana-2211	104	21	estimates	estimate	NOUN
cana-2211	104	22	on	on	ADP
cana-2211	104	23	anisotropic	anisotropic	NOUN
cana-2211	104	24	meshes	mesh	NOUN
cana-2211	104	25	for	for	ADP
cana-2211	104	26	three	three	NUM
cana-2211	104	27	-	-	PUNCT
cana-2211	104	28	dimensional	dimensional	ADJ
cana-2211	104	29	singularly	singularly	ADV
cana-2211	104	30	perturbed	perturb	VERB
cana-2211	104	31	problems	problem	NOUN
cana-2211	104	32	.	.	PUNCT
cana-2211	105	1	since	since	SCONJ
cana-2211	105	2	the	the	DET
cana-2211	105	3	focus	focus	NOUN
cana-2211	105	4	is	be	AUX
cana-2211	105	5	to	to	PART
cana-2211	105	6	obtain	obtain	VERB
cana-2211	105	7	reliable	reliable	ADJ
cana-2211	105	8	upper	upper	ADJ
cana-2211	105	9	error	error	NOUN
cana-2211	105	10	bounds	bound	NOUN
cana-2211	105	11	,	,	PUNCT
cana-2211	105	12	therefore	therefore	ADV
cana-2211	105	13	,	,	PUNCT
cana-2211	105	14	a	a	DET
cana-2211	105	15	suitable	suitable	ADJ
cana-2211	105	16	estimate	estimate	NOUN
cana-2211	105	17	or	or	CCONJ
cana-2211	105	18	function	function	NOUN
cana-2211	105	19	called	call	VERB
cana-2211	105	20	matching	match	VERB
cana-2211	105	21	function	function	NOUN
cana-2211	105	22	[	[	X
cana-2211	105	23	8	8	NUM
cana-2211	105	24	]	]	PUNCT
cana-2211	105	25	has	have	AUX
cana-2211	105	26	been	be	AUX
cana-2211	105	27	defined	define	VERB
cana-2211	105	28	to	to	PART
cana-2211	105	29	measure	measure	VERB
cana-2211	105	30	alignment	alignment	NOUN
cana-2211	105	31	of	of	ADP
cana-2211	105	32	anisotropic	anisotropic	NOUN
cana-2211	105	33	mesh	mesh	NOUN
cana-2211	105	34	ℾℎ	ℾℎ	PROPN
cana-2211	105	35	and	and	CCONJ
cana-2211	105	36	anisotropic	anisotropic	NOUN
cana-2211	105	37	function	function	NOUN
cana-2211	105	38	.	.	PUNCT
cana-2211	106	1	matching	match	VERB
cana-2211	106	2	function	function	NOUN
cana-2211	106	3	:	:	PUNCT
cana-2211	106	4	let	let	VERB
cana-2211	106	5	𝑣	𝑣	PRON
cana-2211	106	6	∈	∈	PROPN
cana-2211	106	7	𝐻1(ℾ	𝐻1(ℾ	NOUN
cana-2211	106	8	)	)	PUNCT
cana-2211	106	9	)	)	PUNCT
cana-2211	106	10	and	and	CCONJ
cana-2211	106	11	ℾℎ	ℾℎ	PROPN
cana-2211	106	12	∈	∈	PROPN
cana-2211	106	13	𝐹	𝐹	PRON
cana-2211	106	14	be	be	VERB
cana-2211	106	15	triangulation	triangulation	NOUN
cana-2211	106	16	of	of	ADP
cana-2211	106	17	ℾ	ℾ	PROPN
cana-2211	106	18	.	.	PUNCT
cana-2211	107	1	then	then	ADV
cana-2211	107	2	𝑀1	𝑀1	ADV
cana-2211	107	3	:	:	PUNCT
cana-2211	107	4	𝐻	𝐻	PROPN
cana-2211	107	5	1(ℾ	1(ℾ	NUM
cana-2211	107	6	)	)	PUNCT
cana-2211	107	7	×	×	NOUN
cana-2211	107	8	𝐹	𝐹	PROPN
cana-2211	107	9	→	→	SYM
cana-2211	107	10	𝑅	𝑅	PROPN
cana-2211	107	11	is	be	AUX
cana-2211	107	12	defined	define	VERB
cana-2211	107	13	as	as	ADP
cana-2211	107	14	𝑀1(𝑣,ℾℎ	𝑀1(𝑣,ℾℎ	NOUN
cana-2211	107	15	)	)	PUNCT
cana-2211	107	16	≔	≔	NOUN
cana-2211	107	17	(	(	PUNCT
cana-2211	107	18	∑	∑	PUNCT
cana-2211	107	19	(	(	PUNCT
cana-2211	107	20	𝑇∈ℾℎ	𝑇∈ℾℎ	NUM
cana-2211	107	21	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	107	22	𝑇	𝑇	PROPN
cana-2211	107	23	)	)	PUNCT
cana-2211	107	24	−2	−2	PROPN
cana-2211	107	25	.	.	PUNCT
cana-2211	108	1	|𝐶𝑇	|𝐶𝑇	NUM
cana-2211	108	2	𝑇∇𝑣||𝑇	𝑇∇𝑣||𝑇	NOUN
cana-2211	108	3	2	2	NUM
cana-2211	108	4	)	)	PUNCT
cana-2211	108	5	1	1	NUM
cana-2211	108	6	2/||∇𝑣||	2/||∇𝑣||	NUM
cana-2211	108	7	,	,	PUNCT
cana-2211	108	8	(	(	PUNCT
cana-2211	108	9	4.1	4.1	NUM
cana-2211	108	10	)	)	PUNCT
cana-2211	108	11	where	where	SCONJ
cana-2211	108	12	𝐶𝑇	𝐶𝑇	PROPN
cana-2211	108	13	∈	∈	PROPN
cana-2211	108	14	𝑅3×3	𝑅3×3	PROPN
cana-2211	108	15	has	have	AUX
cana-2211	108	16	been	be	AUX
cana-2211	108	17	defined	define	VERB
cana-2211	108	18	earlier	early	ADV
cana-2211	108	19	.	.	PUNCT
cana-2211	109	1	in	in	ADP
cana-2211	109	2	order	order	NOUN
cana-2211	109	3	to	to	PART
cana-2211	109	4	derive	derive	VERB
cana-2211	109	5	reliable	reliable	ADJ
cana-2211	109	6	error	error	NOUN
cana-2211	109	7	estimates	estimate	NOUN
cana-2211	109	8	in	in	ADP
cana-2211	109	9	energy	energy	NOUN
cana-2211	109	10	norm	norm	NOUN
cana-2211	109	11	,	,	PUNCT
cana-2211	109	12	we	we	PRON
cana-2211	109	13	define	define	VERB
cana-2211	109	14	cl𝑒	cl𝑒	NOUN
cana-2211	109	15	′ment	′ment	ADJ
cana-2211	109	16	interpolation	interpolation	NOUN
cana-2211	109	17	operator	operator	NOUN
cana-2211	110	1	𝐼𝑐	𝐼𝑐	NOUN
cana-2211	110	2	[	[	NOUN
cana-2211	110	3	4	4	NUM
cana-2211	110	4	]	]	PUNCT
cana-2211	110	5	for	for	ADP
cana-2211	110	6	𝑣	𝑣	DET
cana-2211	110	7	∈	∈	PROPN
cana-2211	110	8	𝐻1(ℾ	𝐻1(ℾ	NOUN
cana-2211	110	9	)	)	PUNCT
cana-2211	110	10	.	.	PUNCT
cana-2211	111	1	lemma	lemma	PROPN
cana-2211	111	2	1	1	NUM
cana-2211	111	3	:	:	PUNCT
cana-2211	111	4	let	let	VERB
cana-2211	111	5	𝑣	𝑣	PRON
cana-2211	111	6	∈	∈	PROPN
cana-2211	111	7	𝐻0	𝐻0	PROPN
cana-2211	111	8	1(ℾ	1(ℾ	NUM
cana-2211	111	9	)	)	PUNCT
cana-2211	111	10	and	and	CCONJ
cana-2211	111	11	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	111	12	be	be	VERB
cana-2211	111	13	the	the	DET
cana-2211	111	14	scaling	scaling	ADJ
cana-2211	111	15	factor	factor	NOUN
cana-2211	111	16	defined	define	VERB
cana-2211	111	17	by	by	ADP
cana-2211	111	18	(	(	PUNCT
cana-2211	111	19	3.1	3.1	NUM
cana-2211	111	20	)	)	PUNCT
cana-2211	111	21	.	.	PUNCT
cana-2211	112	1	define	define	VERB
cana-2211	112	2	cl𝑒	cl𝑒	NOUN
cana-2211	112	3	′ment	′ment	ADJ
cana-2211	112	4	interpolation	interpolation	NOUN
cana-2211	112	5	operator	operator	NOUN
cana-2211	112	6	𝐼𝑐	𝐼𝑐	PROPN
cana-2211	112	7	:	:	PUNCT
cana-2211	112	8	𝐻0	𝐻0	PROPN
cana-2211	112	9	1(ℾ	1(ℾ	NUM
cana-2211	112	10	)	)	PUNCT
cana-2211	112	11	→	→	PUNCT
cana-2211	112	12	𝑉0	𝑉0	NOUN
cana-2211	112	13	ℎ	ℎ	PROPN
cana-2211	112	14	as	as	SCONJ
cana-2211	112	15	defined	define	VERB
cana-2211	112	16	in	in	ADP
cana-2211	112	17	[	[	X
cana-2211	112	18	4	4	NUM
cana-2211	112	19	,	,	PUNCT
cana-2211	112	20	9	9	NUM
cana-2211	112	21	]	]	PUNCT
cana-2211	112	22	.	.	PUNCT
cana-2211	113	1	then	then	ADV
cana-2211	113	2	it	it	PRON
cana-2211	113	3	satisfies	satisfy	VERB
cana-2211	113	4	|||𝐼𝐶𝑣|||	|||𝐼𝐶𝑣|||	NOUN
cana-2211	113	5	≾	≾	PROPN
cana-2211	113	6	𝑀1(𝑣,ℾℎ	𝑀1(𝑣,ℾℎ	NOUN
cana-2211	113	7	)	)	PUNCT
cana-2211	113	8	.	.	PUNCT
cana-2211	114	1	|||𝑣|||	|||𝑣|||	NOUN
cana-2211	114	2	,	,	PUNCT
cana-2211	114	3	(	(	PUNCT
cana-2211	114	4	4.2	4.2	NUM
cana-2211	114	5	)	)	PUNCT
cana-2211	114	6	∑	∑	PUNCT
cana-2211	114	7	𝛼𝑇	𝛼𝑇	PROPN
cana-2211	114	8	−2	−2	PROPN
cana-2211	114	9	𝑇∈ℾℎ	𝑇∈ℾℎ	PROPN
cana-2211	114	10	.	.	PUNCT
cana-2211	115	1	||𝑣	||𝑣	VERB
cana-2211	115	2	−	−	PROPN
cana-2211	115	3	𝐼𝑐𝑣||𝑇	𝐼𝑐𝑣||𝑇	PROPN
cana-2211	115	4	2	2	NUM
cana-2211	115	5	≾	≾	NOUN
cana-2211	115	6	𝑀1(𝑣,ℾℎ)2	𝑀1(𝑣,ℾℎ)2	NOUN
cana-2211	115	7	.	.	PUNCT
cana-2211	116	1	|||𝑣|||2	|||𝑣|||2	PROPN
cana-2211	116	2	,	,	PUNCT
cana-2211	116	3	(	(	PUNCT
cana-2211	116	4	4.3	4.3	NUM
cana-2211	116	5	)	)	PUNCT
cana-2211	116	6	𝜖1/2	𝜖1/2	ADV
cana-2211	116	7	∑	∑	PROPN
cana-2211	116	8	𝛼𝐸	𝛼𝐸	NOUN
cana-2211	116	9	−1	−1	NOUN
cana-2211	116	10	.	.	PUNCT
cana-2211	117	1	||𝑣	||𝑣	VERB
cana-2211	117	2	−	−	ADP
cana-2211	117	3	𝐼𝐶	𝐼𝐶	PROPN
cana-2211	117	4	𝐸⊂ℾ\𝜕ℾ𝐷	𝐸⊂ℾ\𝜕ℾ𝐷	NOUN
cana-2211	117	5	𝑣||𝐸	𝑣||𝐸	ADV
cana-2211	117	6	2	2	NUM
cana-2211	117	7	≾	≾	NOUN
cana-2211	117	8	𝑀1(𝑣,ℾℎ)2	𝑀1(𝑣,ℾℎ)2	NOUN
cana-2211	117	9	.	.	PUNCT
cana-2211	118	1	|||𝑣|||2	|||𝑣|||2	PROPN
cana-2211	118	2	.	.	PUNCT
cana-2211	119	1	(	(	PUNCT
cana-2211	119	2	4.4	4.4	NUM
cana-2211	119	3	)	)	PUNCT
cana-2211	119	4	proof	proof	NOUN
cana-2211	119	5	:	:	PUNCT
cana-2211	119	6	the	the	DET
cana-2211	119	7	proof	proof	NOUN
cana-2211	119	8	of	of	ADP
cana-2211	119	9	the	the	DET
cana-2211	119	10	lemma	lemma	PROPN
cana-2211	119	11	has	have	AUX
cana-2211	119	12	been	be	AUX
cana-2211	119	13	discussed	discuss	VERB
cana-2211	119	14	in	in	ADP
cana-2211	119	15	[	[	X
cana-2211	119	16	9	9	NUM
cana-2211	119	17	]	]	SYM
cana-2211	119	18	.	.	PUNCT
cana-2211	120	1	4.1	4.1	NUM
cana-2211	120	2	residual	residual	ADJ
cana-2211	120	3	error	error	NOUN
cana-2211	120	4	estimates	estimate	NOUN
cana-2211	120	5	in	in	ADP
cana-2211	120	6	the	the	DET
cana-2211	120	7	present	present	ADJ
cana-2211	120	8	section	section	NOUN
cana-2211	120	9	,	,	PUNCT
cana-2211	120	10	first	first	ADV
cana-2211	120	11	we	we	PRON
cana-2211	120	12	will	will	AUX
cana-2211	120	13	discuss	discuss	VERB
cana-2211	120	14	exact	exact	ADJ
cana-2211	120	15	and	and	CCONJ
cana-2211	120	16	approximate	approximate	ADJ
cana-2211	120	17	residuals	residual	NOUN
cana-2211	120	18	.	.	PUNCT
cana-2211	121	1	then	then	ADV
cana-2211	121	2	,	,	PUNCT
cana-2211	121	3	residual	residual	ADJ
cana-2211	121	4	error	error	NOUN
cana-2211	121	5	estimator	estimator	NOUN
cana-2211	121	6	based	base	VERB
cana-2211	121	7	on	on	ADP
cana-2211	121	8	residuals	residual	NOUN
cana-2211	121	9	has	have	AUX
cana-2211	121	10	been	be	AUX
cana-2211	121	11	defined	define	VERB
cana-2211	121	12	to	to	PART
cana-2211	121	13	estimate	estimate	VERB
cana-2211	121	14	error	error	NOUN
cana-2211	121	15	in	in	ADP
cana-2211	121	16	energy	energy	NOUN
cana-2211	121	17	norm	norm	NOUN
cana-2211	121	18	.	.	PUNCT
cana-2211	122	1	further	far	ADV
cana-2211	122	2	,	,	PUNCT
cana-2211	122	3	reliable	reliable	ADJ
cana-2211	122	4	error	error	NOUN
cana-2211	122	5	bounds	bound	NOUN
cana-2211	122	6	for	for	ADP
cana-2211	122	7	the	the	DET
cana-2211	122	8	proposed	propose	VERB
cana-2211	122	9	scheme	scheme	NOUN
cana-2211	122	10	hughes	hughe	NOUN
cana-2211	122	11	stabilized	stabilize	VERB
cana-2211	122	12	supg	supg	PROPN
cana-2211	122	13	finite	finite	PROPN
cana-2211	122	14	element	element	PROPN
cana-2211	122	15	method	method	NOUN
cana-2211	122	16	has	have	AUX
cana-2211	122	17	been	be	AUX
cana-2211	122	18	proposed	propose	VERB
cana-2211	122	19	on	on	ADP
cana-2211	122	20	anisotropic	anisotropic	NOUN
cana-2211	122	21	meshes	mesh	VERB
cana-2211	122	22	communications	communication	NOUN
cana-2211	122	23	on	on	ADP
cana-2211	122	24	applied	apply	VERB
cana-2211	122	25	nonlinear	nonlinear	ADJ
cana-2211	122	26	analysis	analysis	NOUN
cana-2211	122	27	issn	issn	NOUN
cana-2211	122	28	:	:	PUNCT
cana-2211	122	29	1074	1074	NUM
cana-2211	122	30	-	-	PUNCT
cana-2211	122	31	133x	133x	NUM
cana-2211	122	32	vol	vol	NOUN
cana-2211	122	33	32	32	NUM
cana-2211	123	1	no	no	NOUN
cana-2211	123	2	.	.	PUNCT
cana-2211	124	1	1s	1s	NUM
cana-2211	124	2	(	(	PUNCT
cana-2211	124	3	2025	2025	NUM
cana-2211	124	4	)	)	PUNCT
cana-2211	124	5	478	478	NUM
cana-2211	124	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2211	124	7	exact	exact	ADJ
cana-2211	124	8	residuals	residual	NOUN
cana-2211	124	9	:	:	PUNCT
cana-2211	124	10	let	let	VERB
cana-2211	124	11	𝑅𝑇	𝑅𝑇	PRON
cana-2211	124	12	and	and	CCONJ
cana-2211	124	13	𝑅𝐸	𝑅𝐸	PROPN
cana-2211	124	14	denote	denote	VERB
cana-2211	124	15	the	the	DET
cana-2211	124	16	exact	exact	ADJ
cana-2211	124	17	element	element	NOUN
cana-2211	124	18	residual	residual	ADJ
cana-2211	124	19	and	and	CCONJ
cana-2211	124	20	exact	exact	ADJ
cana-2211	124	21	face	face	NOUN
cana-2211	124	22	residual	residual	ADJ
cana-2211	124	23	over	over	ADP
cana-2211	124	24	a	a	DET
cana-2211	124	25	general	general	ADJ
cana-2211	124	26	tetrahedron	tetrahedron	NOUN
cana-2211	124	27	element	element	NOUN
cana-2211	124	28	t	t	PROPN
cana-2211	124	29	respectively	respectively	ADV
cana-2211	124	30	and	and	CCONJ
cana-2211	124	31	are	be	AUX
cana-2211	124	32	defined	define	VERB
cana-2211	124	33	as	as	ADP
cana-2211	124	34	𝑅𝑇	𝑅𝑇	PROPN
cana-2211	124	35	=	=	PUNCT
cana-2211	124	36	𝑓	𝑓	DET
cana-2211	124	37	−	−	PROPN
cana-2211	124	38	(	(	PUNCT
cana-2211	124	39	−𝜖∆𝑢ℎ	−𝜖∆𝑢ℎ	NOUN
cana-2211	124	40	+	+	NUM
cana-2211	124	41	𝒃.	𝒃.	NOUN
cana-2211	124	42	∇𝑢ℎ	∇𝑢ℎ	NOUN
cana-2211	124	43	+	+	CCONJ
cana-2211	124	44	𝑐𝑢ℎ	𝑐𝑢ℎ	ADJ
cana-2211	124	45	)	)	PUNCT
cana-2211	124	46	on	on	ADP
cana-2211	124	47	t	t	PROPN
cana-2211	124	48	,	,	PUNCT
cana-2211	124	49	𝑅𝐸(𝑥	𝑅𝐸(𝑥	NOUN
cana-2211	124	50	)	)	PUNCT
cana-2211	125	1	=	=	PRON
cana-2211	125	2	{	{	PUNCT
cana-2211	125	3	𝑙𝑖𝑚𝑠→0+[𝜕𝑛𝐸	𝑙𝑖𝑚𝑠→0+[𝜕𝑛𝐸	X
cana-2211	125	4	𝑢ℎ(𝑥	𝑢ℎ(𝑥	NUM
cana-2211	125	5	+	+	NUM
cana-2211	125	6	𝑠𝑛𝐸	𝑠𝑛𝐸	X
cana-2211	125	7	)	)	PUNCT
cana-2211	125	8	−	−	PROPN
cana-2211	126	1	𝜕𝑛𝐸	𝜕𝑛𝐸	NUM
cana-2211	126	2	𝑢ℎ(𝑥	𝑢ℎ(𝑥	NUM
cana-2211	126	3	−	−	PROPN
cana-2211	126	4	𝑠𝑛𝐸	𝑠𝑛𝐸	NOUN
cana-2211	126	5	)	)	PUNCT
cana-2211	126	6	]	]	PUNCT
cana-2211	127	1	𝑖𝑓	𝑖𝑓	X
cana-2211	127	2	𝐸	𝐸	PROPN
cana-2211	127	3	⊂	⊂	PROPN
cana-2211	127	4	ℾ\𝜕ℾ	ℾ\𝜕ℾ	PROPN
cana-2211	127	5	,	,	PUNCT
cana-2211	127	6	𝑔	𝑔	PROPN
cana-2211	127	7	−	−	PROPN
cana-2211	127	8	𝜕𝑛𝑢ℎ	𝜕𝑛𝑢ℎ	VERB
cana-2211	127	9	𝑖𝑓	𝑖𝑓	ADP
cana-2211	127	10	𝐸	𝐸	PROPN
cana-2211	127	11	⊂	⊂	PROPN
cana-2211	127	12	𝜕ℾ𝑁	𝜕ℾ𝑁	NOUN
cana-2211	127	13	,	,	PUNCT
cana-2211	127	14	0	0	NUM
cana-2211	127	15	𝑖𝑓	𝑖𝑓	X
cana-2211	127	16	𝐸	𝐸	PROPN
cana-2211	127	17	⊂	⊂	PROPN
cana-2211	127	18	𝜕ℾ𝐷	𝜕ℾ𝐷	NOUN
cana-2211	127	19	,	,	PUNCT
cana-2211	127	20	where	where	SCONJ
cana-2211	127	21	𝑛𝐸⟂	𝑛𝐸⟂	X
cana-2211	127	22	e	e	NOUN
cana-2211	127	23	is	be	AUX
cana-2211	127	24	unitary	unitary	ADJ
cana-2211	127	25	normal	normal	ADJ
cana-2211	127	26	vector	vector	NOUN
cana-2211	127	27	for	for	ADP
cana-2211	127	28	face	face	NOUN
cana-2211	127	29	e⊂	e⊂	PROPN
cana-2211	127	30	ℾ	ℾ	PROPN
cana-2211	127	31	−	−	PROPN
cana-2211	127	32	ℾ𝑁	ℾ𝑁	PROPN
cana-2211	127	33	and	and	CCONJ
cana-2211	127	34	n	n	NOUN
cana-2211	127	35	⟂	⟂	NOUN
cana-2211	127	36	e	e	X
cana-2211	127	37	⊂	⊂	PROPN
cana-2211	127	38	𝜕ℾ𝑁	𝜕ℾ𝑁	NOUN
cana-2211	127	39	is	be	AUX
cana-2211	127	40	outer	outer	ADJ
cana-2211	127	41	unitary	unitary	ADJ
cana-2211	127	42	normal	normal	ADJ
cana-2211	127	43	vector	vector	NOUN
cana-2211	127	44	.	.	PUNCT
cana-2211	128	1	approximate	approximate	ADJ
cana-2211	128	2	residuals	residual	NOUN
cana-2211	128	3	:	:	PUNCT
cana-2211	128	4	let	let	VERB
cana-2211	128	5	q	q	PART
cana-2211	128	6	be	be	AUX
cana-2211	128	7	approximation	approximation	NOUN
cana-2211	128	8	operator	operator	NOUN
cana-2211	128	9	,	,	PUNCT
cana-2211	128	10	used	use	VERB
cana-2211	128	11	to	to	PART
cana-2211	128	12	approximate	approximate	VERB
cana-2211	128	13	the	the	DET
cana-2211	128	14	element	element	NOUN
cana-2211	128	15	residuals	residual	NOUN
cana-2211	128	16	and	and	CCONJ
cana-2211	128	17	the	the	DET
cana-2211	128	18	face	face	NOUN
cana-2211	128	19	residuals	residual	NOUN
cana-2211	128	20	i.e.	i.e.	X
cana-2211	128	21	𝑟𝑇	𝑟𝑇	X
cana-2211	128	22	=	=	SYM
cana-2211	128	23	𝑄(𝑅𝑇	𝑄(𝑅𝑇	X
cana-2211	128	24	)	)	PUNCT
cana-2211	128	25	∈	∈	PROPN
cana-2211	128	26	𝑃0(𝑇	𝑃0(𝑇	PROPN
cana-2211	128	27	)	)	PUNCT
cana-2211	128	28	∀	∀	PUNCT
cana-2211	128	29	𝑇	𝑇	PROPN
cana-2211	128	30	∈	∈	PROPN
cana-2211	128	31	ℾℎ	ℾℎ	PROPN
cana-2211	128	32	,	,	PUNCT
cana-2211	128	33	𝑟𝐸	𝑟𝐸	ADJ
cana-2211	128	34	=	=	SYM
cana-2211	128	35	𝑄(𝑅𝐸	𝑄(𝑅𝐸	PROPN
cana-2211	128	36	)	)	PUNCT
cana-2211	128	37	∈	∈	PROPN
cana-2211	128	38	𝑃0(𝐸	𝑃0(𝐸	PROPN
cana-2211	128	39	)	)	PUNCT
cana-2211	128	40	∀	∀	PUNCT
cana-2211	129	1	𝐸.	𝐸.	NOUN
cana-2211	129	2	where	where	SCONJ
cana-2211	129	3	𝑟𝑇	𝑟𝑇	ADJ
cana-2211	129	4	denotes	denote	VERB
cana-2211	129	5	the	the	DET
cana-2211	129	6	approximate	approximate	ADJ
cana-2211	129	7	element	element	NOUN
cana-2211	129	8	residual	residual	ADJ
cana-2211	129	9	and	and	CCONJ
cana-2211	129	10	𝑟𝐸	𝑟𝐸	ADJ
cana-2211	129	11	denotes	denote	NOUN
cana-2211	129	12	the	the	DET
cana-2211	129	13	approximate	approximate	ADJ
cana-2211	129	14	face	face	NOUN
cana-2211	129	15	residual	residual	ADJ
cana-2211	129	16	.	.	PUNCT
cana-2211	130	1	since	since	SCONJ
cana-2211	130	2	the	the	DET
cana-2211	130	3	numerical	numerical	ADJ
cana-2211	130	4	solution	solution	NOUN
cana-2211	130	5	𝑢ℎ	𝑢ℎ	VERB
cana-2211	130	6	is	be	AUX
cana-2211	130	7	linear	linear	ADJ
cana-2211	130	8	on	on	ADP
cana-2211	130	9	e	e	NOUN
cana-2211	130	10	,	,	PUNCT
cana-2211	130	11	therefore	therefore	ADV
cana-2211	130	12	,	,	PUNCT
cana-2211	130	13	𝑟𝐸	𝑟𝐸	ADJ
cana-2211	130	14	=	=	SYM
cana-2211	130	15	𝑅𝐸	𝑅𝐸	PROPN
cana-2211	130	16	∀	∀	X
cana-2211	130	17	𝐸	𝐸	PROPN
cana-2211	130	18	⊂	⊂	X
cana-2211	130	19	ℾ\𝜕ℾ𝑁.	ℾ\𝜕ℾ𝑁.	ADP
cana-2211	130	20	residual	residual	ADJ
cana-2211	130	21	error	error	NOUN
cana-2211	130	22	estimator	estimator	NOUN
cana-2211	130	23	:	:	PUNCT
cana-2211	130	24	residual	residual	ADJ
cana-2211	130	25	error	error	NOUN
cana-2211	130	26	estimator	estimator	NOUN
cana-2211	130	27	𝑛𝑇	𝑛𝑇	PROPN
cana-2211	130	28	and	and	CCONJ
cana-2211	130	29	the	the	DET
cana-2211	130	30	approximation	approximation	NOUN
cana-2211	130	31	term	term	NOUN
cana-2211	130	32	𝛿𝑇	𝛿𝑇	PROPN
cana-2211	130	33	over	over	ADP
cana-2211	130	34	any	any	DET
cana-2211	130	35	tetrahedron	tetrahedron	NOUN
cana-2211	130	36	t	t	NOUN
cana-2211	130	37	are	be	AUX
cana-2211	130	38	defined	define	VERB
cana-2211	130	39	as	as	ADP
cana-2211	130	40	𝑛𝑇	𝑛𝑇	PROPN
cana-2211	130	41	2	2	NUM
cana-2211	130	42	=	=	SYM
cana-2211	130	43	𝑎𝑇	𝑎𝑇	NOUN
cana-2211	130	44	2	2	NUM
cana-2211	130	45	.	.	PUNCT
cana-2211	131	1	||𝑟𝑇||𝑇	||𝑟𝑇||𝑇	VERB
cana-2211	131	2	2	2	NUM
cana-2211	132	1	+	+	CCONJ
cana-2211	132	2	𝜖−	𝜖−	PROPN
cana-2211	132	3	1	1	NUM
cana-2211	132	4	2	2	NUM
cana-2211	132	5	.	.	PUNCT
cana-2211	133	1	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	133	2	.	.	PUNCT
cana-2211	134	1	∑	∑	PUNCT
cana-2211	134	2	||𝑟𝐸	||𝑟𝐸	NOUN
cana-2211	134	3	𝐸⊂𝜕𝑇\𝜕ℾ𝐷	𝐸⊂𝜕𝑇\𝜕ℾ𝐷	NOUN
cana-2211	134	4	||𝐸	||𝐸	NOUN
cana-2211	134	5	2	2	NUM
cana-2211	134	6	,	,	PUNCT
cana-2211	134	7	𝛿𝑇	𝛿𝑇	ADJ
cana-2211	134	8	2	2	NUM
cana-2211	134	9	=	=	SYM
cana-2211	134	10	𝑎𝑇	𝑎𝑇	NOUN
cana-2211	134	11	2	2	NUM
cana-2211	134	12	.	.	PUNCT
cana-2211	135	1	||𝑟𝑇	||𝑟𝑇	ADJ
cana-2211	135	2	−	−	PROPN
cana-2211	135	3	𝑅𝑇||𝑤𝑇	𝑅𝑇||𝑤𝑇	ADJ
cana-2211	135	4	2	2	NUM
cana-2211	135	5	+	+	CCONJ
cana-2211	135	6	𝜖−	𝜖−	PROPN
cana-2211	135	7	1	1	NUM
cana-2211	135	8	2	2	NUM
cana-2211	135	9	.	.	PUNCT
cana-2211	135	10	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	135	11	.	.	PUNCT
cana-2211	136	1	∑	∑	PUNCT
cana-2211	136	2	||𝑟𝐸	||𝑟𝐸	VERB
cana-2211	136	3	𝐸⊂𝜕𝑇∩𝜕ℾ𝑁	𝐸⊂𝜕𝑇∩𝜕ℾ𝑁	PROPN
cana-2211	136	4	−	−	PROPN
cana-2211	136	5	𝑅𝐸||𝐸	𝑅𝐸||𝐸	NOUN
cana-2211	136	6	2	2	NUM
cana-2211	136	7	,	,	PUNCT
cana-2211	136	8	where	where	SCONJ
cana-2211	136	9	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	136	10	be	be	AUX
cana-2211	136	11	scaling	scale	VERB
cana-2211	136	12	factor	factor	NOUN
cana-2211	136	13	and	and	CCONJ
cana-2211	136	14	𝑎𝑇	𝑎𝑇	NOUN
cana-2211	136	15	=	=	SYM
cana-2211	136	16	3𝛼𝑇.	3𝛼𝑇.	NUM
cana-2211	136	17	global	global	ADJ
cana-2211	136	18	error	error	NOUN
cana-2211	136	19	estimators	estimator	NOUN
cana-2211	136	20	are	be	AUX
cana-2211	136	21	defined	define	VERB
cana-2211	136	22	as	as	ADP
cana-2211	136	23	ƞ	ƞ	X
cana-2211	136	24	2	2	NUM
cana-2211	136	25	=	=	SYM
cana-2211	136	26	∑	∑	PUNCT
cana-2211	136	27	ƞ	ƞ	PROPN
cana-2211	136	28	𝑇	𝑇	PROPN
cana-2211	136	29	2	2	NUM
cana-2211	136	30	𝑇∈ℾℎ	𝑇∈ℾℎ	NOUN
cana-2211	136	31	and	and	CCONJ
cana-2211	136	32	£	£	SYM
cana-2211	136	33	2	2	NUM
cana-2211	136	34	=	=	SYM
cana-2211	136	35	∑	∑	PUNCT
cana-2211	136	36	£	£	SYM
cana-2211	136	37	𝑇	𝑇	PROPN
cana-2211	136	38	2	2	NUM
cana-2211	136	39	𝑇∈ℾℎ	𝑇∈ℾℎ	NOUN
cana-2211	136	40	.	.	PUNCT
cana-2211	137	1	(	(	PUNCT
cana-2211	137	2	4.1.1	4.1.1	NUM
cana-2211	137	3	)	)	PUNCT
cana-2211	137	4	before	before	ADP
cana-2211	137	5	proposing	propose	VERB
cana-2211	137	6	reliable	reliable	ADJ
cana-2211	137	7	error	error	NOUN
cana-2211	137	8	upper	upper	ADJ
cana-2211	137	9	bounds	bound	NOUN
cana-2211	137	10	,	,	PUNCT
cana-2211	137	11	we	we	PRON
cana-2211	137	12	will	will	AUX
cana-2211	137	13	prove	prove	VERB
cana-2211	137	14	the	the	DET
cana-2211	137	15	following	follow	VERB
cana-2211	137	16	two	two	NUM
cana-2211	137	17	lemmas	lemma	NOUN
cana-2211	137	18	which	which	PRON
cana-2211	137	19	will	will	AUX
cana-2211	137	20	be	be	AUX
cana-2211	137	21	used	use	VERB
cana-2211	137	22	in	in	ADP
cana-2211	137	23	the	the	DET
cana-2211	137	24	results	result	NOUN
cana-2211	137	25	to	to	PART
cana-2211	137	26	follow	follow	VERB
cana-2211	137	27	:	:	PUNCT
cana-2211	137	28	lemma	lemma	PROPN
cana-2211	137	29	2	2	NUM
cana-2211	137	30	:	:	PUNCT
cana-2211	137	31	let	let	VERB
cana-2211	137	32	𝑣	𝑣	PRON
cana-2211	137	33	∈	∈	PROPN
cana-2211	137	34	𝐻0	𝐻0	PROPN
cana-2211	137	35	1(ℾ	1(ℾ	NUM
cana-2211	137	36	)	)	PUNCT
cana-2211	137	37	be	be	AUX
cana-2211	137	38	exact	exact	ADJ
cana-2211	137	39	solution	solution	NOUN
cana-2211	137	40	and	and	CCONJ
cana-2211	137	41	𝑣ℎ	𝑣ℎ	ADP
cana-2211	137	42	∈	∈	PROPN
cana-2211	137	43	𝑉0	𝑉0	NOUN
cana-2211	137	44	ℎ	ℎ	PROPN
cana-2211	137	45	be	be	VERB
cana-2211	137	46	numerical	numerical	ADJ
cana-2211	137	47	solution	solution	NOUN
cana-2211	137	48	obtained	obtain	VERB
cana-2211	137	49	by	by	ADP
cana-2211	137	50	the	the	DET
cana-2211	137	51	proposed	propose	VERB
cana-2211	137	52	scheme	scheme	NOUN
cana-2211	137	53	.	.	PUNCT
cana-2211	138	1	then	then	ADV
cana-2211	138	2	the	the	DET
cana-2211	138	3	bilinear	bilinear	PROPN
cana-2211	138	4	form	form	NOUN
cana-2211	138	5	𝑩𝜌,𝜎	𝑩𝜌,𝜎	PROPN
cana-2211	138	6	(	(	PUNCT
cana-2211	138	7	.	.	PUNCT
cana-2211	138	8	,	,	PUNCT
cana-2211	138	9	.	.	PUNCT
cana-2211	138	10	)	)	PUNCT
cana-2211	138	11	satisfies	satisfy	VERB
cana-2211	138	12	the	the	DET
cana-2211	138	13	bounds	bound	NOUN
cana-2211	138	14	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	VERB
cana-2211	138	15	−	−	PROPN
cana-2211	139	1	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	139	2	,	,	PUNCT
cana-2211	139	3	𝑤	𝑤	ADP
cana-2211	139	4	−	−	PROPN
cana-2211	139	5	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	139	6	)	)	PUNCT
cana-2211	139	7	≾	≾	PROPN
cana-2211	139	8	[	[	X
cana-2211	139	9	(	(	PUNCT
cana-2211	139	10	∑	∑	PROPN
cana-2211	139	11	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	139	12	2	2	NUM
cana-2211	139	13	𝑇∈ℾℎ	𝑇∈ℾℎ	NUM
cana-2211	139	14	||𝑅𝑇||𝑇	||𝑅𝑇||𝑇	NUM
cana-2211	139	15	2	2	NUM
cana-2211	139	16	)	)	PUNCT
cana-2211	139	17	1	1	NUM
cana-2211	139	18	2	2	NUM
cana-2211	140	1	+	+	CCONJ
cana-2211	140	2	∑	∑	PROPN
cana-2211	140	3	𝜖−	𝜖−	PROPN
cana-2211	140	4	1	1	NUM
cana-2211	140	5	2𝛼𝐸||𝑅𝐸	2𝛼𝐸||𝑅𝐸	NUM
cana-2211	140	6	𝐸⊂ℾ\𝜕ℾ𝐷	𝐸⊂ℾ\𝜕ℾ𝐷	NOUN
cana-2211	140	7	||𝐸	||𝐸	NOUN
cana-2211	140	8	2	2	NUM
cana-2211	140	9	)	)	PUNCT
cana-2211	140	10	1/2	1/2	NUM
cana-2211	140	11	]	]	PUNCT
cana-2211	140	12	.	.	PUNCT
cana-2211	141	1	𝑀1(𝑤,ℾℎ	𝑀1(𝑤,ℾℎ	NOUN
cana-2211	141	2	)	)	PUNCT
cana-2211	141	3	.	.	PUNCT
cana-2211	142	1	|||𝑤|||	|||𝑤|||	NOUN
cana-2211	142	2	.	.	PUNCT
cana-2211	143	1	proof	proof	NOUN
cana-2211	143	2	:	:	PUNCT
cana-2211	143	3	using	use	VERB
cana-2211	143	4	cl𝑒	cl𝑒	NOUN
cana-2211	143	5	′ment	′ment	ADJ
cana-2211	143	6	interpolation	interpolation	NOUN
cana-2211	143	7	operator	operator	NOUN
cana-2211	143	8	𝐼𝑐	𝐼𝑐	NOUN
cana-2211	143	9	,	,	PUNCT
cana-2211	143	10	we	we	PRON
cana-2211	143	11	can	can	AUX
cana-2211	143	12	write	write	VERB
cana-2211	143	13	the	the	DET
cana-2211	143	14	bilinear	bilinear	NOUN
cana-2211	143	15	form	form	NOUN
cana-2211	143	16	𝑩𝜌,𝜎	𝑩𝜌,𝜎	PROPN
cana-2211	143	17	(	(	PUNCT
cana-2211	143	18	.	.	PUNCT
cana-2211	143	19	,	,	PUNCT
cana-2211	143	20	.	.	PUNCT
cana-2211	143	21	)	)	PUNCT
cana-2211	144	1	as	as	SCONJ
cana-2211	144	2	communications	communication	NOUN
cana-2211	144	3	on	on	ADP
cana-2211	144	4	applied	apply	VERB
cana-2211	144	5	nonlinear	nonlinear	ADJ
cana-2211	144	6	analysis	analysis	NOUN
cana-2211	144	7	issn	issn	NOUN
cana-2211	144	8	:	:	PUNCT
cana-2211	144	9	1074	1074	NUM
cana-2211	144	10	-	-	PUNCT
cana-2211	144	11	133x	133x	NUM
cana-2211	144	12	vol	vol	NOUN
cana-2211	144	13	32	32	NUM
cana-2211	144	14	no	no	NOUN
cana-2211	144	15	.	.	PUNCT
cana-2211	145	1	1s	1s	NUM
cana-2211	145	2	(	(	PUNCT
cana-2211	145	3	2025	2025	NUM
cana-2211	145	4	)	)	PUNCT
cana-2211	145	5	479	479	NUM
cana-2211	145	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2211	145	7	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	ADP
cana-2211	145	8	−	−	PROPN
cana-2211	145	9	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	145	10	,	,	PUNCT
cana-2211	145	11	𝑤	𝑤	ADJ
cana-2211	145	12	)	)	PUNCT
cana-2211	145	13	=	=	SYM
cana-2211	146	1	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	NOUN
cana-2211	146	2	−	−	PROPN
cana-2211	147	1	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	147	2	,	,	PUNCT
cana-2211	147	3	𝑤	𝑤	ADP
cana-2211	147	4	−	−	DET
cana-2211	147	5	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	147	6	)	)	PUNCT
cana-2211	147	7	+	+	NUM
cana-2211	147	8	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	NOUN
cana-2211	147	9	−	−	PROPN
cana-2211	147	10	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	147	11	,	,	PUNCT
cana-2211	147	12	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	147	13	)	)	PUNCT
cana-2211	147	14	.	.	PUNCT
cana-2211	148	1	(	(	PUNCT
cana-2211	148	2	4.1.2	4.1.2	X
cana-2211	148	3	)	)	PUNCT
cana-2211	148	4	now	now	ADV
cana-2211	148	5	,	,	PUNCT
cana-2211	148	6	integrating	integrate	VERB
cana-2211	148	7	by	by	ADP
cana-2211	148	8	parts	part	NOUN
cana-2211	148	9	and	and	CCONJ
cana-2211	148	10	using	use	VERB
cana-2211	148	11	exact	exact	ADJ
cana-2211	148	12	element	element	NOUN
cana-2211	148	13	residual	residual	ADJ
cana-2211	148	14	𝑅𝑇	𝑅𝑇	NOUN
cana-2211	148	15	and	and	CCONJ
cana-2211	148	16	face	face	VERB
cana-2211	148	17	residual	residual	ADJ
cana-2211	148	18	𝑅𝐸	𝑅𝐸	PROPN
cana-2211	148	19	,	,	PUNCT
cana-2211	148	20	the	the	DET
cana-2211	148	21	bilinear	bilinear	NOUN
cana-2211	148	22	form	form	NOUN
cana-2211	148	23	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	NOUN
cana-2211	148	24	−	−	PROPN
cana-2211	148	25	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	148	26	,	,	PUNCT
cana-2211	148	27	𝑤	𝑤	X
cana-2211	148	28	)	)	PUNCT
cana-2211	148	29	can	can	AUX
cana-2211	148	30	be	be	AUX
cana-2211	148	31	written	write	VERB
cana-2211	148	32	as	as	ADP
cana-2211	148	33	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	NOUN
cana-2211	148	34	−	−	PROPN
cana-2211	148	35	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	148	36	,	,	PUNCT
cana-2211	148	37	𝑤	𝑤	ADJ
cana-2211	148	38	)	)	PUNCT
cana-2211	148	39	=	=	SYM
cana-2211	149	1	∑	∑	PROPN
cana-2211	149	2	(	(	PUNCT
cana-2211	149	3	𝑅𝑇	𝑅𝑇	PROPN
cana-2211	149	4	,	,	PUNCT
cana-2211	149	5	𝑤)𝑇	𝑤)𝑇	NOUN
cana-2211	149	6	𝑇∈ℾℎ	𝑇∈ℾℎ	NUM
cana-2211	150	1	+	+	NUM
cana-2211	150	2	∑	∑	PROPN
cana-2211	150	3	(	(	PUNCT
cana-2211	150	4	𝑅𝐸	𝑅𝐸	PROPN
cana-2211	150	5	,	,	PUNCT
cana-2211	150	6	𝑤)𝐸	𝑤)𝐸	NOUN
cana-2211	150	7	𝐸⊂ℾ\𝜕ℾ𝐷	𝐸⊂ℾ\𝜕ℾ𝐷	X
cana-2211	150	8	∀	∀	NOUN
cana-2211	150	9	𝑤	𝑤	ADP
cana-2211	150	10	∈	∈	PROPN
cana-2211	150	11	𝐻0	𝐻0	PROPN
cana-2211	150	12	1	1	NUM
cana-2211	150	13	(	(	PUNCT
cana-2211	150	14	ℾ	ℾ	PROPN
cana-2211	150	15	)	)	PUNCT
cana-2211	150	16	.	.	PUNCT
cana-2211	151	1	using	use	VERB
cana-2211	151	2	the	the	DET
cana-2211	151	3	above	above	ADJ
cana-2211	151	4	expression	expression	NOUN
cana-2211	151	5	for	for	ADP
cana-2211	151	6	bilinear	bilinear	NOUN
cana-2211	151	7	form	form	NOUN
cana-2211	151	8	,	,	PUNCT
cana-2211	151	9	the	the	DET
cana-2211	151	10	middle	middle	ADJ
cana-2211	151	11	term	term	NOUN
cana-2211	151	12	of	of	ADP
cana-2211	151	13	(	(	PUNCT
cana-2211	151	14	4.1.2	4.1.2	X
cana-2211	151	15	)	)	PUNCT
cana-2211	151	16	can	can	AUX
cana-2211	151	17	be	be	AUX
cana-2211	151	18	expressed	express	VERB
cana-2211	151	19	as	as	ADP
cana-2211	151	20	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	NOUN
cana-2211	151	21	−	−	PROPN
cana-2211	151	22	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	151	23	,	,	PUNCT
cana-2211	151	24	𝑤	𝑤	ADP
cana-2211	151	25	−	−	PROPN
cana-2211	151	26	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	151	27	)	)	PUNCT
cana-2211	151	28	=	=	PUNCT
cana-2211	152	1	∑	∑	PUNCT
cana-2211	152	2	(	(	PUNCT
cana-2211	152	3	𝑅𝑇	𝑅𝑇	PROPN
cana-2211	152	4	,	,	PUNCT
cana-2211	152	5	𝑤	𝑤	ADP
cana-2211	152	6	−	−	NOUN
cana-2211	152	7	𝐼𝑐𝑤)𝑇𝑇∈ℾℎ	𝐼𝑐𝑤)𝑇𝑇∈ℾℎ	NOUN
cana-2211	152	8	+	+	CCONJ
cana-2211	152	9	∑	∑	PROPN
cana-2211	152	10	(	(	PUNCT
cana-2211	152	11	𝑅𝐸	𝑅𝐸	PROPN
cana-2211	152	12	,	,	PUNCT
cana-2211	152	13	𝑤−𝐼𝑐𝑤)𝐸𝐸⊂ℾ\𝜕ℾ𝐷	𝑤−𝐼𝑐𝑤)𝐸𝐸⊂ℾ\𝜕ℾ𝐷	PROPN
cana-2211	152	14	.	.	PUNCT
cana-2211	153	1	using	use	VERB
cana-2211	153	2	cauchy	cauchy	PROPN
cana-2211	153	3	schwarz	schwarz	PROPN
cana-2211	153	4	inequality	inequality	PROPN
cana-2211	153	5	,	,	PUNCT
cana-2211	153	6	we	we	PRON
cana-2211	153	7	get	get	VERB
cana-2211	153	8	∑	∑	PUNCT
cana-2211	153	9	(	(	PUNCT
cana-2211	153	10	𝑅𝑇	𝑅𝑇	PROPN
cana-2211	153	11	,	,	PUNCT
cana-2211	153	12	𝑤	𝑤	ADP
cana-2211	153	13	−	−	NOUN
cana-2211	153	14	𝐼𝑐𝑤)𝑇𝑇∈ℾℎ	𝐼𝑐𝑤)𝑇𝑇∈ℾℎ	ADJ
cana-2211	153	15	≤	≤	NOUN
cana-2211	153	16	(	(	PUNCT
cana-2211	153	17	∑	∑	PUNCT
cana-2211	153	18	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	153	19	2	2	NUM
cana-2211	153	20	𝑇∈ℾℎ	𝑇∈ℾℎ	NUM
cana-2211	153	21	||𝑅𝑇||𝑇	||𝑅𝑇||𝑇	NUM
cana-2211	153	22	2	2	NUM
cana-2211	153	23	)	)	PUNCT
cana-2211	153	24	1	1	NUM
cana-2211	153	25	2	2	NUM
cana-2211	153	26	.	.	PUNCT
cana-2211	154	1	(	(	PUNCT
cana-2211	154	2	∑	∑	PUNCT
cana-2211	154	3	𝛼𝑇	𝛼𝑇	PROPN
cana-2211	154	4	−2	−2	PROPN
cana-2211	154	5	𝑇∈ℾℎ	𝑇∈ℾℎ	PROPN
cana-2211	154	6	||𝑤	||𝑤	VERB
cana-2211	154	7	−	−	PROPN
cana-2211	154	8	𝐼𝑐𝑤||𝑇	𝐼𝑐𝑤||𝑇	NOUN
cana-2211	154	9	2	2	NUM
cana-2211	154	10	)	)	PUNCT
cana-2211	154	11	)	)	PUNCT
cana-2211	154	12	1	1	NUM
cana-2211	154	13	2	2	NUM
cana-2211	154	14	,	,	PUNCT
cana-2211	154	15	∑	∑	PROPN
cana-2211	154	16	(	(	PUNCT
cana-2211	154	17	𝑅𝐸	𝑅𝐸	PROPN
cana-2211	154	18	,	,	PUNCT
cana-2211	154	19	𝑤	𝑤	ADP
cana-2211	154	20	−	−	NOUN
cana-2211	154	21	𝐼𝑐𝑤)𝐸𝐸⊂ℾ\𝜕ℾ𝐷	𝐼𝑐𝑤)𝐸𝐸⊂ℾ\𝜕ℾ𝐷	NOUN
cana-2211	154	22	≤	≤	NOUN
cana-2211	154	23	(	(	PUNCT
cana-2211	154	24	(	(	PUNCT
cana-2211	154	25	∑	∑	PROPN
cana-2211	154	26	𝜖−	𝜖−	PROPN
cana-2211	154	27	1	1	NUM
cana-2211	154	28	2𝛼𝐸||𝑅𝐸|𝐸⊂ℾ\𝜕ℾ𝐷	2𝛼𝐸||𝑅𝐸|𝐸⊂ℾ\𝜕ℾ𝐷	NUM
cana-2211	154	29	|𝐸	|𝐸	NUM
cana-2211	154	30	2	2	NUM
cana-2211	154	31	)	)	PUNCT
cana-2211	154	32	1	1	NUM
cana-2211	154	33	2	2	NUM
cana-2211	154	34	.	.	PUNCT
cana-2211	155	1	(	(	PUNCT
cana-2211	155	2	∑	∑	PUNCT
cana-2211	155	3	𝜖	𝜖	PROPN
cana-2211	155	4	1	1	NUM
cana-2211	155	5	2𝛼𝐸	2𝛼𝐸	NUM
cana-2211	155	6	−1||𝑤	−1||𝑤	ADV
cana-2211	155	7	−	−	PROPN
cana-2211	156	1	𝐼𝑐	𝐼𝑐	PROPN
cana-2211	156	2	𝑤|𝐸⊂ℾ\𝜕ℾ𝐷	𝑤|𝐸⊂ℾ\𝜕ℾ𝐷	X
cana-2211	156	3	|𝐸	|𝐸	NUM
cana-2211	156	4	2	2	NUM
cana-2211	156	5	)	)	PUNCT
cana-2211	156	6	)	)	PUNCT
cana-2211	156	7	1/2	1/2	NUM
cana-2211	156	8	.	.	PUNCT
cana-2211	157	1	further	far	ADV
cana-2211	157	2	,	,	PUNCT
cana-2211	157	3	using	use	VERB
cana-2211	157	4	lemma	lemma	PROPN
cana-2211	157	5	1	1	NUM
cana-2211	157	6	,	,	PUNCT
cana-2211	157	7	we	we	PRON
cana-2211	157	8	get	get	VERB
cana-2211	157	9	∑	∑	PUNCT
cana-2211	157	10	(	(	PUNCT
cana-2211	157	11	𝑅𝑇	𝑅𝑇	PROPN
cana-2211	157	12	,	,	PUNCT
cana-2211	157	13	𝑤	𝑤	ADP
cana-2211	157	14	−	−	PROPN
cana-2211	157	15	𝐼𝑐𝑤)𝑇	𝐼𝑐𝑤)𝑇	NOUN
cana-2211	157	16	𝑇∈ℾℎ	𝑇∈ℾℎ	NOUN
cana-2211	157	17	≾	≾	PROPN
cana-2211	157	18	∑	∑	PUNCT
cana-2211	157	19	𝛼𝑇	𝛼𝑇	PROPN
cana-2211	157	20	2	2	NUM
cana-2211	157	21	𝑇∈ℾℎ	𝑇∈ℾℎ	NUM
cana-2211	157	22	||𝑅𝑇||𝑇	||𝑅𝑇||𝑇	NUM
cana-2211	157	23	2	2	NUM
cana-2211	157	24	)	)	PUNCT
cana-2211	157	25	1	1	NUM
cana-2211	157	26	2	2	NUM
cana-2211	157	27	.	.	PUNCT
cana-2211	157	28	𝑀1(𝑤,ℾℎ	𝑀1(𝑤,ℾℎ	NOUN
cana-2211	157	29	)	)	PUNCT
cana-2211	157	30	.	.	PUNCT
cana-2211	158	1	|||𝑤|||	|||𝑤|||	ADJ
cana-2211	158	2	,	,	PUNCT
cana-2211	158	3	∑	∑	PUNCT
cana-2211	158	4	(	(	PUNCT
cana-2211	158	5	𝑅𝐸	𝑅𝐸	PROPN
cana-2211	158	6	,	,	PUNCT
cana-2211	158	7	𝑤	𝑤	ADP
cana-2211	158	8	−	−	NOUN
cana-2211	158	9	𝐼𝑐𝑤)𝐸𝐸⊂ℾ\𝜕ℾ𝐷	𝐼𝑐𝑤)𝐸𝐸⊂ℾ\𝜕ℾ𝐷	NOUN
cana-2211	158	10	≾	≾	NOUN
cana-2211	158	11	(	(	PUNCT
cana-2211	158	12	∑	∑	PROPN
cana-2211	158	13	𝜖−	𝜖−	PROPN
cana-2211	158	14	1	1	NUM
cana-2211	158	15	2𝛼𝐸||𝑅𝐸𝐸⊂ℾ\𝜕ℾ𝐷	2𝛼𝐸||𝑅𝐸𝐸⊂ℾ\𝜕ℾ𝐷	NOUN
cana-2211	158	16	||𝐸	||𝐸	NOUN
cana-2211	158	17	2	2	NUM
cana-2211	158	18	)	)	PUNCT
cana-2211	158	19	1/2.𝑀1(𝑤	1/2.𝑀1(𝑤	NUM
cana-2211	158	20	,	,	PUNCT
cana-2211	158	21	ℾℎ	ℾℎ	NOUN
cana-2211	158	22	)	)	PUNCT
cana-2211	158	23	)	)	PUNCT
cana-2211	158	24	.	.	PUNCT
cana-2211	159	1	|||𝑤|||	|||𝑤|||	NOUN
cana-2211	159	2	.	.	PUNCT
cana-2211	160	1	therefore	therefore	ADV
cana-2211	160	2	,	,	PUNCT
cana-2211	160	3	the	the	DET
cana-2211	160	4	term	term	NOUN
cana-2211	160	5	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	NOUN
cana-2211	160	6	−	−	PROPN
cana-2211	160	7	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	160	8	,	,	PUNCT
cana-2211	160	9	𝑤	𝑤	ADP
cana-2211	160	10	−	−	NOUN
cana-2211	160	11	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	160	12	)	)	PUNCT
cana-2211	160	13	is	be	AUX
cana-2211	160	14	bounded	bound	VERB
cana-2211	160	15	above	above	ADV
cana-2211	160	16	by	by	ADP
cana-2211	160	17	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	NOUN
cana-2211	160	18	−	−	PROPN
cana-2211	161	1	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	161	2	,	,	PUNCT
cana-2211	161	3	𝑤	𝑤	ADP
cana-2211	161	4	−	−	PROPN
cana-2211	161	5	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	161	6	)	)	PUNCT
cana-2211	161	7	≾	≾	PROPN
cana-2211	161	8	[	[	PUNCT
cana-2211	161	9	∑	∑	PUNCT
cana-2211	161	10	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	161	11	2	2	NUM
cana-2211	161	12	𝑇∈ℾℎ	𝑇∈ℾℎ	NUM
cana-2211	161	13	||𝑅𝑇||𝑇	||𝑅𝑇||𝑇	NUM
cana-2211	161	14	2	2	NUM
cana-2211	161	15	)	)	PUNCT
cana-2211	161	16	1	1	NUM
cana-2211	161	17	2	2	NUM
cana-2211	161	18	+	+	CCONJ
cana-2211	161	19	∑	∑	PROPN
cana-2211	161	20	𝜖−	𝜖−	PROPN
cana-2211	161	21	1	1	NUM
cana-2211	161	22	2𝛼𝐸||𝑅𝐸|	2𝛼𝐸||𝑅𝐸|	NUM
cana-2211	161	23	𝐸⊂ℾ\𝜕ℾ𝐷	𝐸⊂ℾ\𝜕ℾ𝐷	NOUN
cana-2211	161	24	|𝐸	|𝐸	ADJ
cana-2211	161	25	2	2	NUM
cana-2211	161	26	)	)	PUNCT
cana-2211	161	27	1	1	NUM
cana-2211	161	28	2	2	NUM
cana-2211	161	29	]	]	PUNCT
cana-2211	161	30	.	.	PUNCT
cana-2211	161	31	𝑀1(𝑤,ℾℎ	𝑀1(𝑤,ℾℎ	NOUN
cana-2211	161	32	)	)	PUNCT
cana-2211	161	33	)	)	PUNCT
cana-2211	161	34	.	.	PUNCT
cana-2211	162	1	|||𝑤|||	|||𝑤|||	NOUN
cana-2211	162	2	.	.	PUNCT
cana-2211	163	1	lemma	lemma	PROPN
cana-2211	163	2	3	3	NUM
cana-2211	163	3	:	:	PUNCT
cana-2211	163	4	let	let	VERB
cana-2211	163	5	𝑣	𝑣	PRON
cana-2211	163	6	∈	∈	PROPN
cana-2211	163	7	𝐻0	𝐻0	PROPN
cana-2211	163	8	1(ℾ	1(ℾ	NUM
cana-2211	163	9	)	)	PUNCT
cana-2211	163	10	be	be	AUX
cana-2211	163	11	exact	exact	ADJ
cana-2211	163	12	solution	solution	NOUN
cana-2211	163	13	and	and	CCONJ
cana-2211	163	14	𝑣ℎ	𝑣ℎ	ADP
cana-2211	163	15	∈	∈	PROPN
cana-2211	163	16	𝑉0	𝑉0	NOUN
cana-2211	163	17	ℎ	ℎ	PROPN
cana-2211	163	18	be	be	VERB
cana-2211	163	19	the	the	DET
cana-2211	163	20	approximate	approximate	ADJ
cana-2211	163	21	solution	solution	NOUN
cana-2211	163	22	.	.	PUNCT
cana-2211	164	1	then	then	ADV
cana-2211	164	2	cl𝑒	cl𝑒	VERB
cana-2211	164	3	′ment	′ment	ADJ
cana-2211	164	4	interpolation	interpolation	NOUN
cana-2211	164	5	operator	operator	NOUN
cana-2211	164	6	𝐼𝐶	𝐼𝐶	PROPN
cana-2211	164	7	:	:	PUNCT
cana-2211	164	8	𝐻0	𝐻0	PROPN
cana-2211	164	9	1(ℾ	1(ℾ	NUM
cana-2211	164	10	)	)	PUNCT
cana-2211	164	11	→	→	PUNCT
cana-2211	164	12	𝑉0	𝑉0	NOUN
cana-2211	164	13	ℎ	ℎ	PROPN
cana-2211	164	14	satisfies	satisfy	VERB
cana-2211	164	15	the	the	DET
cana-2211	164	16	inequality	inequality	NOUN
cana-2211	164	17	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	NOUN
cana-2211	164	18	−	−	PROPN
cana-2211	164	19	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	164	20	,	,	PUNCT
cana-2211	164	21	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	164	22	)	)	PUNCT
cana-2211	164	23	≾	≾	PROPN
cana-2211	164	24	2	2	NUM
cana-2211	164	25	(	(	PUNCT
cana-2211	164	26	∑	∑	PUNCT
cana-2211	164	27	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	164	28	2	2	NUM
cana-2211	164	29	𝑇∈ℾℎ	𝑇∈ℾℎ	NUM
cana-2211	164	30	||𝑅𝑇||𝑇	||𝑅𝑇||𝑇	NUM
cana-2211	164	31	2	2	NUM
cana-2211	164	32	)	)	PUNCT
cana-2211	164	33	1	1	NUM
cana-2211	164	34	2	2	NUM
cana-2211	164	35	.	.	PUNCT
cana-2211	164	36	𝑀1(𝑤,ℾℎ	𝑀1(𝑤,ℾℎ	NOUN
cana-2211	164	37	)	)	PUNCT
cana-2211	164	38	.	.	PUNCT
cana-2211	165	1	|||𝑤|||	|||𝑤|||	NOUN
cana-2211	165	2	.	.	PUNCT
cana-2211	166	1	proof	proof	NOUN
cana-2211	166	2	:	:	PUNCT
cana-2211	166	3	for	for	ADP
cana-2211	166	4	any	any	DET
cana-2211	166	5	mesh	mesh	NOUN
cana-2211	166	6	function	function	NOUN
cana-2211	166	7	𝑣ℎ	𝑣ℎ	ADP
cana-2211	166	8	∈	∈	PROPN
cana-2211	166	9	𝑉0	𝑉0	NOUN
cana-2211	166	10	ℎ	ℎ	PROPN
cana-2211	166	11	,	,	PUNCT
cana-2211	166	12	using	use	VERB
cana-2211	166	13	(	(	PUNCT
cana-2211	166	14	2.2.4	2.2.4	NUM
cana-2211	166	15	)	)	PUNCT
cana-2211	166	16	and	and	CCONJ
cana-2211	166	17	scaling	scale	VERB
cana-2211	166	18	arguments	argument	NOUN
cana-2211	166	19	,	,	PUNCT
cana-2211	166	20	we	we	PRON
cana-2211	166	21	can	can	AUX
cana-2211	166	22	get	get	VERB
cana-2211	166	23	||∇𝑣ℎ||𝑇	||∇𝑣ℎ||𝑇	VERB
cana-2211	166	24	≤	≤	NOUN
cana-2211	166	25	(	(	PUNCT
cana-2211	166	26	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	166	27	𝑇	𝑇	PROPN
cana-2211	166	28	)	)	PUNCT
cana-2211	166	29	−1||𝑣ℎ||𝑇.	−1||𝑣ℎ||𝑇.	NOUN
cana-2211	166	30	from	from	ADP
cana-2211	166	31	energy	energy	NOUN
cana-2211	166	32	norm	norm	NOUN
cana-2211	166	33	def.(2.1	def.(2.1	NOUN
cana-2211	166	34	)	)	PUNCT
cana-2211	166	35	,	,	PUNCT
cana-2211	166	36	we	we	PRON
cana-2211	166	37	have	have	AUX
cana-2211	166	38	||𝑣ℎ||𝑇	||𝑣ℎ||𝑇	VERB
cana-2211	166	39	≤	≤	NUM
cana-2211	166	40	𝑐	𝑐	PROPN
cana-2211	166	41	0	0	NUM
cana-2211	167	1	−	−	NUM
cana-2211	167	2	1	1	NUM
cana-2211	167	3	2|||𝑣ℎ|||𝑇.	2|||𝑣ℎ|||𝑇.	NUM
cana-2211	167	4	→	→	SYM
cana-2211	167	5	||∇𝑣ℎ||𝑇	||∇𝑣ℎ||𝑇	PROPN
cana-2211	167	6	≾	≾	PROPN
cana-2211	167	7	(	(	PUNCT
cana-2211	167	8	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	167	9	𝑇	𝑇	PROPN
cana-2211	167	10	)	)	PUNCT
cana-2211	168	1	−1𝑐	−1𝑐	PROPN
cana-2211	168	2	0	0	NUM
cana-2211	169	1	−	−	NUM
cana-2211	169	2	1	1	NUM
cana-2211	169	3	2|||𝑣ℎ|||𝑇.	2|||𝑣ℎ|||𝑇.	NUM
cana-2211	169	4	(	(	PUNCT
cana-2211	169	5	4.1.3	4.1.3	NUM
cana-2211	169	6	)	)	PUNCT
cana-2211	169	7	again	again	ADV
cana-2211	169	8	,	,	PUNCT
cana-2211	169	9	from	from	ADP
cana-2211	169	10	energy	energy	NOUN
cana-2211	169	11	norm	norm	NOUN
cana-2211	169	12	,	,	PUNCT
cana-2211	169	13	we	we	PRON
cana-2211	169	14	get	get	VERB
cana-2211	169	15	||∇𝑣ℎ||𝑇	||∇𝑣ℎ||𝑇	VERB
cana-2211	169	16	≤	≤	NUM
cana-2211	169	17	𝜖−1/2|||𝑣ℎ|||𝑇	𝜖−1/2|||𝑣ℎ|||𝑇	NOUN
cana-2211	169	18	.	.	PUNCT
cana-2211	170	1	(	(	PUNCT
cana-2211	170	2	4.1.4	4.1.4	NUM
cana-2211	170	3	)	)	PUNCT
cana-2211	170	4	communications	communication	NOUN
cana-2211	170	5	on	on	ADP
cana-2211	170	6	applied	apply	VERB
cana-2211	170	7	nonlinear	nonlinear	ADJ
cana-2211	170	8	analysis	analysis	NOUN
cana-2211	170	9	issn	issn	NOUN
cana-2211	170	10	:	:	PUNCT
cana-2211	170	11	1074	1074	NUM
cana-2211	170	12	-	-	PUNCT
cana-2211	170	13	133x	133x	NUM
cana-2211	170	14	vol	vol	NOUN
cana-2211	170	15	32	32	NUM
cana-2211	170	16	no	no	NOUN
cana-2211	170	17	.	.	PUNCT
cana-2211	171	1	1s	1s	NUM
cana-2211	171	2	(	(	PUNCT
cana-2211	171	3	2025	2025	NUM
cana-2211	171	4	)	)	PUNCT
cana-2211	171	5	480	480	NUM
cana-2211	171	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2211	171	7	→	→	SYM
cana-2211	171	8	||∇𝑣ℎ||𝑇	||∇𝑣ℎ||𝑇	PROPN
cana-2211	171	9	≾	≾	PROPN
cana-2211	171	10	min	min	NOUN
cana-2211	171	11	{	{	PUNCT
cana-2211	171	12	(	(	PUNCT
cana-2211	171	13	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	PROPN
cana-2211	171	14	𝑇	𝑇	PROPN
cana-2211	171	15	)	)	PUNCT
cana-2211	171	16	−1𝑐	−1𝑐	PROPN
cana-2211	171	17	0	0	NUM
cana-2211	172	1	−	−	NOUN
cana-2211	172	2	1	1	NUM
cana-2211	172	3	2	2	NUM
cana-2211	172	4	,	,	PUNCT
cana-2211	172	5	𝜖−	𝜖−	PROPN
cana-2211	172	6	1	1	NUM
cana-2211	172	7	2}|||𝑣ℎ|||𝑇.	2}|||𝑣ℎ|||𝑇.	NUM
cana-2211	172	8	(	(	PUNCT
cana-2211	172	9	4.1.5	4.1.5	NUM
cana-2211	172	10	)	)	PUNCT
cana-2211	172	11	on	on	ADP
cana-2211	172	12	simplification	simplification	NOUN
cana-2211	172	13	,	,	PUNCT
cana-2211	172	14	inequality	inequality	NOUN
cana-2211	172	15	(	(	PUNCT
cana-2211	172	16	4.1.5	4.1.5	NOUN
cana-2211	172	17	)	)	PUNCT
cana-2211	172	18	reduces	reduce	VERB
cana-2211	172	19	to	to	AUX
cana-2211	172	20	||∇𝑣ℎ||𝑇	||∇𝑣ℎ||𝑇	NOUN
cana-2211	172	21	≾	≾	PROPN
cana-2211	172	22	min	min	NOUN
cana-2211	172	23	{	{	PUNCT
cana-2211	172	24	(	(	PUNCT
cana-2211	172	25	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	PROPN
cana-2211	172	26	𝑇	𝑇	PROPN
cana-2211	172	27	)	)	PUNCT
cana-2211	173	1	−1𝑐	−1𝑐	PROPN
cana-2211	173	2	0	0	NUM
cana-2211	174	1	−	−	NOUN
cana-2211	174	2	1	1	NUM
cana-2211	174	3	2	2	NUM
cana-2211	174	4	,	,	PUNCT
cana-2211	174	5	𝜖−	𝜖−	PROPN
cana-2211	174	6	1	1	NUM
cana-2211	174	7	2}|||𝑣ℎ|||𝑇	2}|||𝑣ℎ|||𝑇	NUM
cana-2211	174	8	=	=	SYM
cana-2211	174	9	(	(	PUNCT
cana-2211	174	10	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	174	11	𝑇	𝑇	PROPN
cana-2211	174	12	)	)	PUNCT
cana-2211	174	13	−1𝛼𝑇|||	−1𝛼𝑇|||	X
cana-2211	175	1	𝑣ℎ|||𝑇	𝑣ℎ|||𝑇	NOUN
cana-2211	175	2	𝑓𝑜𝑟	𝑓𝑜𝑟	NOUN
cana-2211	175	3	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	175	4	∈	∈	PROPN
cana-2211	175	5	𝑉0	𝑉0	NOUN
cana-2211	175	6	ℎ.	ℎ.	NOUN
cana-2211	175	7	(	(	PUNCT
cana-2211	175	8	using	use	VERB
cana-2211	175	9	eq.(3.1	eq.(3.1	NOUN
cana-2211	175	10	)	)	PUNCT
cana-2211	175	11	)	)	PUNCT
cana-2211	175	12	𝐵𝜌,𝜎(𝑣	𝐵𝜌,𝜎(𝑣	ADV
cana-2211	175	13	−	−	ADP
cana-2211	175	14	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	175	15	,	,	PUNCT
cana-2211	175	16	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	175	17	)	)	PUNCT
cana-2211	175	18	=	=	NOUN
cana-2211	175	19	<	<	X
cana-2211	175	20	𝜖∇𝑣.	𝜖∇𝑣.	X
cana-2211	175	21	∇𝐼𝑐𝑤	∇𝐼𝑐𝑤	ADJ
cana-2211	175	22	>	>	X
cana-2211	176	1	+	+	X
cana-2211	176	2	<	<	X
cana-2211	176	3	𝒃.	𝒃.	NOUN
cana-2211	176	4	∇𝑣	∇𝑣	PROPN
cana-2211	176	5	,	,	PUNCT
cana-2211	176	6	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	176	7	>	>	X
cana-2211	177	1	+	+	CCONJ
cana-2211	177	2	<	<	X
cana-2211	177	3	𝑐𝑣	𝑐𝑣	PRON
cana-2211	177	4	,	,	PUNCT
cana-2211	177	5	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	177	6	>	>	X
cana-2211	177	7	-	-	PUNCT
cana-2211	177	8	{	{	PUNCT
cana-2211	177	9	<	<	X
cana-2211	177	10	𝜖∇𝑣ℎ	𝜖∇𝑣ℎ	NOUN
cana-2211	177	11	,	,	PUNCT
cana-2211	177	12	∇𝐼𝑐𝑤	∇𝐼𝑐𝑤	ADJ
cana-2211	177	13	>	>	X
cana-2211	178	1	+	+	X
cana-2211	178	2	<	<	X
cana-2211	178	3	𝒃.	𝒃.	NOUN
cana-2211	178	4	∇𝑣ℎ	∇𝑣ℎ	NOUN
cana-2211	178	5	,	,	PUNCT
cana-2211	178	6	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	178	7	>	>	X
cana-2211	179	1	+	+	PROPN
cana-2211	179	2	<	<	X
cana-2211	179	3	𝑐𝑣ℎ	𝑐𝑣ℎ	PROPN
cana-2211	179	4	,	,	PUNCT
cana-2211	179	5	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	179	6	>	>	X
cana-2211	180	1	+	+	PROPN
cana-2211	180	2	∑	∑	PROPN
cana-2211	180	3	𝜌𝑇𝑇	𝜌𝑇𝑇	X
cana-2211	180	4	(	(	PUNCT
cana-2211	180	5	𝑅𝑇	𝑅𝑇	PROPN
cana-2211	180	6	,	,	PUNCT
cana-2211	180	7	𝒃.	𝒃.	PROPN
cana-2211	180	8	∇𝐼𝑐𝑤	∇𝐼𝑐𝑤	PROPN
cana-2211	180	9	)	)	PUNCT
cana-2211	180	10	+	+	CCONJ
cana-2211	180	11	∑	∑	PUNCT
cana-2211	180	12	𝜎𝑇𝑇	𝜎𝑇𝑇	PROPN
cana-2211	180	13	(	(	PUNCT
cana-2211	180	14	𝑅𝑇	𝑅𝑇	PROPN
cana-2211	180	15	,	,	PUNCT
cana-2211	180	16	𝒃𝒉.	𝒃𝒉.	PROPN
cana-2211	180	17	∇𝐼𝑐𝑤	∇𝐼𝑐𝑤	PROPN
cana-2211	180	18	)	)	PUNCT
cana-2211	180	19	}	}	PUNCT
cana-2211	180	20	.	.	PUNCT
cana-2211	181	1	now	now	ADV
cana-2211	181	2	based	base	VERB
cana-2211	181	3	on	on	ADP
cana-2211	181	4	the	the	DET
cana-2211	181	5	galerkin	galerkin	ADJ
cana-2211	181	6	orthogonal	orthogonal	ADJ
cana-2211	181	7	property	property	NOUN
cana-2211	181	8	and	and	CCONJ
cana-2211	181	9	standard	standard	ADJ
cana-2211	181	10	scaling	scaling	NOUN
cana-2211	181	11	results	result	NOUN
cana-2211	181	12	,	,	PUNCT
cana-2211	181	13	the	the	DET
cana-2211	181	14	above	above	ADJ
cana-2211	181	15	equation	equation	NOUN
cana-2211	181	16	can	can	AUX
cana-2211	181	17	be	be	AUX
cana-2211	181	18	rewritten	rewrite	VERB
cana-2211	181	19	as	as	ADP
cana-2211	181	20	𝐵𝜌,𝜎(𝑣	𝐵𝜌,𝜎(𝑣	ADJ
cana-2211	181	21	−	−	PROPN
cana-2211	181	22	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	181	23	,	,	PUNCT
cana-2211	181	24	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	181	25	)	)	PUNCT
cana-2211	181	26	=	=	SYM
cana-2211	181	27	−	−	PROPN
cana-2211	181	28	∑	∑	PUNCT
cana-2211	181	29	𝜌𝑇	𝜌𝑇	PROPN
cana-2211	181	30	𝑇	𝑇	PROPN
cana-2211	181	31	(	(	PUNCT
cana-2211	181	32	𝑅𝑇	𝑅𝑇	PROPN
cana-2211	181	33	,	,	PUNCT
cana-2211	181	34	𝒃.	𝒃.	PROPN
cana-2211	181	35	∇𝐼𝑐𝑤	∇𝐼𝑐𝑤	PROPN
cana-2211	181	36	)	)	PUNCT
cana-2211	181	37	−	−	PUNCT
cana-2211	182	1	∑	∑	PROPN
cana-2211	182	2	𝜎𝑇	𝜎𝑇	PROPN
cana-2211	182	3	𝑇	𝑇	PROPN
cana-2211	182	4	(	(	PUNCT
cana-2211	182	5	𝑅𝑇	𝑅𝑇	PROPN
cana-2211	182	6	,	,	PUNCT
cana-2211	182	7	𝒃𝒉.	𝒃𝒉.	PROPN
cana-2211	182	8	∇𝐼𝑐𝑤	∇𝐼𝑐𝑤	ADJ
cana-2211	182	9	)	)	PUNCT
cana-2211	182	10	≤	≤	NOUN
cana-2211	182	11	∑	∑	PUNCT
cana-2211	182	12	𝜌𝑇||𝑅𝑇	𝜌𝑇||𝑅𝑇	PROPN
cana-2211	182	13	𝑇∈ℾℎ	𝑇∈ℾℎ	PROPN
cana-2211	182	14	||𝑇||𝒃||∞,𝑇||∇𝐼𝑐𝑤||𝑇	||𝑇||𝒃||∞,𝑇||∇𝐼𝑐𝑤||𝑇	PROPN
cana-2211	183	1	+	+	CCONJ
cana-2211	183	2	∑	∑	PROPN
cana-2211	183	3	𝜎𝑇||𝑅𝑇	𝜎𝑇||𝑅𝑇	PROPN
cana-2211	183	4	𝑇∈ℾℎ	𝑇∈ℾℎ	PROPN
cana-2211	183	5	||𝑇||𝒃𝒉||∞,𝑇||∇𝐼𝑐𝑤||𝑇	||𝑇||𝒃𝒉||∞,𝑇||∇𝐼𝑐𝑤||𝑇	NOUN
cana-2211	183	6	≤	≤	NUM
cana-2211	183	7	∑	∑	PUNCT
cana-2211	183	8	𝜌𝑇||𝑅𝑇	𝜌𝑇||𝑅𝑇	PROPN
cana-2211	184	1	𝑇∈ℾℎ	𝑇∈ℾℎ	NUM
cana-2211	184	2	||𝑇||𝒃||∞,𝑇(ℎ𝑚𝑖𝑛	||𝑇||𝒃||∞,𝑇(ℎ𝑚𝑖𝑛	PROPN
cana-2211	184	3	𝑇	𝑇	PROPN
cana-2211	184	4	)	)	PUNCT
cana-2211	184	5	−1𝛼𝑇|||𝐼𝑐𝑤|||𝑇	−1𝛼𝑇|||𝐼𝑐𝑤|||𝑇	PROPN
cana-2211	184	6	+	+	CCONJ
cana-2211	184	7	∑	∑	PROPN
cana-2211	184	8	𝜎𝑇||𝑅𝑇	𝜎𝑇||𝑅𝑇	PROPN
cana-2211	184	9	𝑇∈ℾℎ	𝑇∈ℾℎ	PROPN
cana-2211	184	10	||𝑇||𝒃𝒉||∞,𝑇	||𝑇||𝒃𝒉||∞,𝑇	PROPN
cana-2211	184	11	(	(	PUNCT
cana-2211	184	12	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	184	13	𝑇	𝑇	PROPN
cana-2211	184	14	)	)	PUNCT
cana-2211	184	15	−1𝛼𝑇|||𝐼𝑐𝑤|||𝑇	−1𝛼𝑇|||𝐼𝑐𝑤|||𝑇	PROPN
cana-2211	184	16	.	.	PUNCT
cana-2211	185	1	using	use	VERB
cana-2211	185	2	lemma	lemma	PROPN
cana-2211	185	3	1	1	NUM
cana-2211	185	4	,	,	PUNCT
cana-2211	185	5	we	we	PRON
cana-2211	185	6	get	get	VERB
cana-2211	185	7	|||𝐼𝑐𝑤|||	|||𝐼𝑐𝑤|||	ADP
cana-2211	185	8	≤	≤	NUM
cana-2211	185	9	𝑀1(𝑤,ℾℎ	𝑀1(𝑤,ℾℎ	NOUN
cana-2211	185	10	)	)	PUNCT
cana-2211	185	11	.	.	PUNCT
cana-2211	186	1	|||𝑤|||	|||𝑤|||	NOUN
cana-2211	186	2	∀	∀	PUNCT
cana-2211	186	3	𝑤	𝑤	ADP
cana-2211	186	4	∈	∈	PROPN
cana-2211	186	5	𝐻0	𝐻0	PROPN
cana-2211	186	6	1(ℾ	1(ℾ	NUM
cana-2211	186	7	)	)	PUNCT
cana-2211	186	8	.	.	PUNCT
cana-2211	187	1	thus	thus	ADV
cana-2211	187	2	,	,	PUNCT
cana-2211	187	3	we	we	PRON
cana-2211	187	4	have	have	VERB
cana-2211	187	5	𝐵𝜌,𝜎(𝑣	𝐵𝜌,𝜎(𝑣	ADJ
cana-2211	187	6	−	−	NUM
cana-2211	187	7	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	187	8	,	,	PUNCT
cana-2211	187	9	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	187	10	)	)	PUNCT
cana-2211	187	11	≤	≤	NOUN
cana-2211	187	12	(	(	PUNCT
cana-2211	187	13	∑	∑	ADP
cana-2211	187	14	𝜌𝑇	𝜌𝑇	ADJ
cana-2211	187	15	2	2	NUM
cana-2211	187	16	𝑇∈ℾℎ	𝑇∈ℾℎ	PROPN
cana-2211	187	17	||𝑅𝑇||2||𝒃||∞,𝑇	||𝑅𝑇||2||𝒃||∞,𝑇	NOUN
cana-2211	187	18	2	2	NUM
cana-2211	187	19	(	(	PUNCT
cana-2211	187	20	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	187	21	𝑇	𝑇	PROPN
cana-2211	187	22	)	)	PUNCT
cana-2211	187	23	−2𝛼𝑇	−2𝛼𝑇	X
cana-2211	187	24	2	2	NUM
cana-2211	187	25	)	)	PUNCT
cana-2211	187	26	1	1	NUM
cana-2211	187	27	2	2	NUM
cana-2211	187	28	.	.	PUNCT
cana-2211	187	29	𝑀1(𝑤,ℾℎ	𝑀1(𝑤,ℾℎ	NOUN
cana-2211	187	30	)	)	PUNCT
cana-2211	187	31	.	.	PUNCT
cana-2211	188	1	|||𝑤|||	|||𝑤|||	PUNCT
cana-2211	189	1	+	+	NOUN
cana-2211	189	2	(	(	PUNCT
cana-2211	189	3	∑	∑	PROPN
cana-2211	189	4	𝜎𝑇	𝜎𝑇	ADJ
cana-2211	189	5	2	2	NUM
cana-2211	189	6	𝑇∈ℾℎ	𝑇∈ℾℎ	NUM
cana-2211	189	7	||𝑅𝑇||2||𝒃𝒉||∞,𝑇	||𝑅𝑇||2||𝒃𝒉||∞,𝑇	NUM
cana-2211	189	8	2	2	NUM
cana-2211	189	9	(	(	PUNCT
cana-2211	189	10	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	189	11	𝑇	𝑇	PROPN
cana-2211	189	12	)	)	PUNCT
cana-2211	189	13	−2𝛼𝑇	−2𝛼𝑇	X
cana-2211	189	14	2	2	NUM
cana-2211	189	15	)	)	PUNCT
cana-2211	189	16	1	1	NUM
cana-2211	189	17	2	2	NUM
cana-2211	189	18	.	.	PUNCT
cana-2211	189	19	𝑀1(𝑤,ℾℎ	𝑀1(𝑤,ℾℎ	NOUN
cana-2211	189	20	)	)	PUNCT
cana-2211	189	21	.	.	PUNCT
cana-2211	190	1	|||𝑤|||	|||𝑤|||	NOUN
cana-2211	190	2	.	.	PUNCT
cana-2211	191	1	it	it	PRON
cana-2211	191	2	may	may	AUX
cana-2211	191	3	be	be	AUX
cana-2211	191	4	noted	note	VERB
cana-2211	191	5	that	that	SCONJ
cana-2211	191	6	the	the	DET
cana-2211	191	7	effect	effect	NOUN
cana-2211	191	8	of	of	ADP
cana-2211	191	9	nonlinear	nonlinear	ADJ
cana-2211	191	10	term	term	NOUN
cana-2211	191	11	𝒃ℎ	𝒃ℎ	NOUN
cana-2211	191	12	in	in	ADP
cana-2211	191	13	the	the	DET
cana-2211	191	14	𝐿∞	𝐿∞	NOUN
cana-2211	191	15	norm	norm	NOUN
cana-2211	191	16	will	will	AUX
cana-2211	191	17	be	be	AUX
cana-2211	191	18	bounded	bound	VERB
cana-2211	191	19	by	by	ADP
cana-2211	191	20	that	that	PRON
cana-2211	191	21	of	of	ADP
cana-2211	191	22	the	the	DET
cana-2211	191	23	term	term	NOUN
cana-2211	191	24	||𝒃||∞	||𝒃||∞	NOUN
cana-2211	191	25	as	as	SCONJ
cana-2211	191	26	shown	show	VERB
cana-2211	191	27	below	below	ADP
cana-2211	191	28	i.e.	i.e.	X
cana-2211	191	29	𝒃𝒉	𝒃𝒉	NOUN
cana-2211	191	30	=	=	SYM
cana-2211	191	31	(	(	PUNCT
cana-2211	191	32	𝒃.	𝒃.	PROPN
cana-2211	191	33	∇𝑣ℎ)∇𝑣ℎ	∇𝑣ℎ)∇𝑣ℎ	PROPN
cana-2211	191	34	|∇𝑣ℎ|𝟐	|∇𝑣ℎ|𝟐	PROPN
cana-2211	191	35	,	,	PUNCT
cana-2211	191	36	|∇𝑣ℎ|	|∇𝑣ℎ|	PROPN
cana-2211	191	37	≠	≠	PROPN
cana-2211	191	38	0	0	NUM
cana-2211	191	39	𝒃𝒉	𝒃𝒉	NOUN
cana-2211	191	40	≤	≤	ADV
cana-2211	191	41	||𝒃||||∇𝑣ℎ||∇𝑣ℎ	||𝒃||||∇𝑣ℎ||∇𝑣ℎ	NUM
cana-2211	191	42	|∇𝑣ℎ|𝟐	|∇𝑣ℎ|𝟐	PROPN
cana-2211	191	43	{	{	PUNCT
cana-2211	191	44	𝑈𝑠𝑖𝑛𝑔	𝑈𝑠𝑖𝑛𝑔	PROPN
cana-2211	191	45	𝐶𝑎𝑢𝑐ℎ𝑦	𝐶𝑎𝑢𝑐ℎ𝑦	PROPN
cana-2211	191	46	−	−	PROPN
cana-2211	191	47	𝑆𝑐ℎ𝑤𝑎𝑟𝑧	𝑆𝑐ℎ𝑤𝑎𝑟𝑧	PROPN
cana-2211	191	48	𝑖𝑛𝑒𝑞𝑢𝑎𝑙𝑖𝑡𝑦	𝑖𝑛𝑒𝑞𝑢𝑎𝑙𝑖𝑡𝑦	NOUN
cana-2211	191	49	}	}	PUNCT
cana-2211	191	50	communications	communication	NOUN
cana-2211	191	51	on	on	ADP
cana-2211	191	52	applied	apply	VERB
cana-2211	191	53	nonlinear	nonlinear	ADJ
cana-2211	191	54	analysis	analysis	NOUN
cana-2211	191	55	issn	issn	NOUN
cana-2211	191	56	:	:	PUNCT
cana-2211	191	57	1074	1074	NUM
cana-2211	191	58	-	-	PUNCT
cana-2211	191	59	133x	133x	NUM
cana-2211	191	60	vol	vol	NOUN
cana-2211	191	61	32	32	NUM
cana-2211	191	62	no	no	NOUN
cana-2211	191	63	.	.	PUNCT
cana-2211	192	1	1s	1s	NUM
cana-2211	192	2	(	(	PUNCT
cana-2211	192	3	2025	2025	NUM
cana-2211	192	4	)	)	PUNCT
cana-2211	193	1	481	481	NUM
cana-2211	194	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-2211	194	2	||𝒃𝒉||	||𝒃𝒉||	NOUN
cana-2211	194	3	≤	≤	NUM
cana-2211	194	4	||𝒃||||𝛁𝒗𝒉||||𝛁𝒗𝒉||	||𝒃||||𝛁𝒗𝒉||||𝛁𝒗𝒉||	NOUN
cana-2211	194	5	|∇𝑣ℎ|𝟐	|∇𝑣ℎ|𝟐	PROPN
cana-2211	194	6	≾	≾	PROPN
cana-2211	194	7	||𝒃||	||𝒃||	PROPN
cana-2211	194	8	from	from	ADP
cana-2211	194	9	relation	relation	NOUN
cana-2211	194	10	(	(	PUNCT
cana-2211	194	11	2.2.5	2.2.5	NUM
cana-2211	194	12	)	)	PUNCT
cana-2211	194	13	,	,	PUNCT
cana-2211	194	14	we	we	PRON
cana-2211	194	15	get	get	VERB
cana-2211	194	16	𝜌𝑇	𝜌𝑇	ADJ
cana-2211	194	17	≾	≾	PROPN
cana-2211	194	18	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	194	19	𝑇	𝑇	PROPN
cana-2211	194	20	/||𝒃||∞,𝑇	/||𝒃||∞,𝑇	PROPN
cana-2211	194	21	∀	∀	PUNCT
cana-2211	194	22	𝑇	𝑇	PROPN
cana-2211	194	23	∈	∈	PROPN
cana-2211	194	24	ℾℎ	ℾℎ	PROPN
cana-2211	194	25	,	,	PUNCT
cana-2211	194	26	𝜎𝑇	𝜎𝑇	PROPN
cana-2211	194	27	≾	≾	PROPN
cana-2211	194	28	ℎ𝑚𝑖𝑛	ℎ𝑚𝑖𝑛	NOUN
cana-2211	194	29	𝑇	𝑇	PROPN
cana-2211	194	30	/||𝒃𝒉||∞,𝑇	/||𝒃𝒉||∞,𝑇	ADJ
cana-2211	194	31	∀	∀	PUNCT
cana-2211	194	32	𝑇	𝑇	PROPN
cana-2211	194	33	∈	∈	PROPN
cana-2211	195	1	ℾℎ.	ℾℎ.	X
cana-2211	195	2	therefore	therefore	ADV
cana-2211	195	3	,	,	PUNCT
cana-2211	195	4	𝐵𝜌,𝜎(𝑣	𝐵𝜌,𝜎(𝑣	ADJ
cana-2211	195	5	−	−	ADP
cana-2211	195	6	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	195	7	,	,	PUNCT
cana-2211	195	8	𝐼𝑐𝑤	𝐼𝑐𝑤	PROPN
cana-2211	195	9	)	)	PUNCT
cana-2211	195	10	≾	≾	PROPN
cana-2211	196	1	[	[	X
cana-2211	196	2	(	(	PUNCT
cana-2211	196	3	∑	∑	PUNCT
cana-2211	196	4	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	196	5	2	2	NUM
cana-2211	196	6	|	|	ADV
cana-2211	196	7	𝑇∈ℾℎ	𝑇∈ℾℎ	PROPN
cana-2211	196	8	|𝑅𝑇||𝑇	|𝑅𝑇||𝑇	NUM
cana-2211	196	9	2	2	NUM
cana-2211	196	10	)	)	PUNCT
cana-2211	196	11	1	1	NUM
cana-2211	196	12	2	2	NUM
cana-2211	196	13	+	+	CCONJ
cana-2211	196	14	(	(	PUNCT
cana-2211	196	15	∑	∑	PUNCT
cana-2211	196	16	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	196	17	2	2	NUM
cana-2211	196	18	|	|	ADV
cana-2211	196	19	𝑇∈ℾℎ	𝑇∈ℾℎ	PROPN
cana-2211	196	20	|𝑅𝑇||𝑇	|𝑅𝑇||𝑇	NUM
cana-2211	196	21	2	2	NUM
cana-2211	196	22	)	)	PUNCT
cana-2211	196	23	1	1	NUM
cana-2211	196	24	2	2	NUM
cana-2211	196	25	]	]	PUNCT
cana-2211	196	26	.	.	PUNCT
cana-2211	197	1	𝑀1(𝑤,ℾℎ	𝑀1(𝑤,ℾℎ	NOUN
cana-2211	197	2	)	)	PUNCT
cana-2211	197	3	.	.	PUNCT
cana-2211	198	1	|||𝑤|||	|||𝑤|||	NOUN
cana-2211	198	2	≾	≾	NOUN
cana-2211	198	3	2(∑	2(∑	NUM
cana-2211	198	4	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	198	5	2	2	NUM
cana-2211	198	6	|𝑇∈ℾℎ	|𝑇∈ℾℎ	NOUN
cana-2211	198	7	|𝑅𝑇||𝑇	|𝑅𝑇||𝑇	NOUN
cana-2211	198	8	2	2	NUM
cana-2211	198	9	)	)	PUNCT
cana-2211	198	10	1	1	NUM
cana-2211	198	11	2	2	NUM
cana-2211	198	12	.	.	PUNCT
cana-2211	198	13	𝑀1(𝑤	𝑀1(𝑤	PROPN
cana-2211	198	14	,	,	PUNCT
cana-2211	198	15	ℾℎ	ℾℎ	NOUN
cana-2211	198	16	)	)	PUNCT
cana-2211	198	17	.	.	PUNCT
cana-2211	199	1	|||𝑤|||	|||𝑤|||	NOUN
cana-2211	199	2	.	.	PUNCT
cana-2211	200	1	theorem	theorem	VERB
cana-2211	200	2	:	:	PUNCT
cana-2211	200	3	(	(	PUNCT
cana-2211	200	4	residual	residual	ADJ
cana-2211	200	5	error	error	NOUN
cana-2211	200	6	estimation	estimation	NOUN
cana-2211	200	7	)	)	PUNCT
cana-2211	200	8	let	let	VERB
cana-2211	200	9	𝑣	𝑣	PRON
cana-2211	200	10	∈	∈	PROPN
cana-2211	200	11	𝐻0	𝐻0	PROPN
cana-2211	200	12	1(ℾ	1(ℾ	PROPN
cana-2211	200	13	)	)	PUNCT
cana-2211	200	14	be	be	VERB
cana-2211	200	15	the	the	DET
cana-2211	200	16	exact	exact	ADJ
cana-2211	200	17	solution	solution	NOUN
cana-2211	200	18	and	and	CCONJ
cana-2211	200	19	𝑣ℎ	𝑣ℎ	ADP
cana-2211	200	20	∈	∈	PROPN
cana-2211	200	21	𝑉0	𝑉0	NOUN
cana-2211	200	22	ℎ	ℎ	PROPN
cana-2211	200	23	be	be	VERB
cana-2211	200	24	the	the	DET
cana-2211	200	25	hughes	hughe	NOUN
cana-2211	200	26	stabilized	stabilize	VERB
cana-2211	200	27	supg	supg	PROPN
cana-2211	200	28	finite	finite	PROPN
cana-2211	200	29	element	element	NOUN
cana-2211	200	30	solution	solution	NOUN
cana-2211	200	31	of	of	ADP
cana-2211	200	32	(	(	PUNCT
cana-2211	200	33	1.1)-(1.3	1.1)-(1.3	NUM
cana-2211	200	34	)	)	PUNCT
cana-2211	200	35	.	.	PUNCT
cana-2211	201	1	then	then	ADV
cana-2211	201	2	the	the	DET
cana-2211	201	3	error	error	NOUN
cana-2211	201	4	in	in	ADP
cana-2211	201	5	energy	energy	NOUN
cana-2211	201	6	norm	norm	NOUN
cana-2211	201	7	is	be	AUX
cana-2211	201	8	bounded	bound	VERB
cana-2211	201	9	above	above	ADV
cana-2211	201	10	globally	globally	ADV
cana-2211	201	11	by	by	ADP
cana-2211	201	12	|||𝑣	|||𝑣	NOUN
cana-2211	201	13	−	−	NOUN
cana-2211	201	14	𝑣ℎ|||	𝑣ℎ|||	NUM
cana-2211	201	15	≤	≤	NUM
cana-2211	201	16	𝑀1(𝑣	𝑀1(𝑣	NOUN
cana-2211	201	17	−	−	PROPN
cana-2211	201	18	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	201	19	,	,	PUNCT
cana-2211	201	20	ℾℎ	ℾℎ	PROPN
cana-2211	201	21	)	)	PUNCT
cana-2211	201	22	.	.	PUNCT
cana-2211	202	1	[	[	X
cana-2211	202	2	ƞ	ƞ	X
cana-2211	202	3	+	+	NOUN
cana-2211	202	4	£	£	SYM
cana-2211	202	5	]	]	PUNCT
cana-2211	202	6	.	.	PUNCT
cana-2211	203	1	proof	proof	NOUN
cana-2211	203	2	:	:	PUNCT
cana-2211	203	3	we	we	PRON
cana-2211	203	4	know	know	VERB
cana-2211	203	5	that	that	SCONJ
cana-2211	203	6	𝑩𝜌,𝜎(𝑣	𝑩𝜌,𝜎(𝑣	NOUN
cana-2211	203	7	,	,	PUNCT
cana-2211	203	8	𝑣	𝑣	NOUN
cana-2211	203	9	)	)	PUNCT
cana-2211	203	10	≥	≥	NOUN
cana-2211	204	1	|||𝑣|||2	|||𝑣|||2	PROPN
cana-2211	204	2	∀𝑣	∀𝑣	PROPN
cana-2211	204	3	∈	∈	PROPN
cana-2211	204	4	𝐻0	𝐻0	PROPN
cana-2211	204	5	1(ℾ	1(ℾ	NUM
cana-2211	204	6	)	)	PUNCT
cana-2211	204	7	.	.	PUNCT
cana-2211	205	1	using	use	VERB
cana-2211	205	2	this	this	DET
cana-2211	205	3	result	result	NOUN
cana-2211	205	4	,	,	PUNCT
cana-2211	205	5	we	we	PRON
cana-2211	205	6	get	get	VERB
cana-2211	205	7	|||𝑣	|||𝑣	ADJ
cana-2211	205	8	−	−	NOUN
cana-2211	205	9	𝑣ℎ|||	𝑣ℎ|||	NUM
cana-2211	205	10	≤	≤	NUM
cana-2211	205	11	𝐵𝜌,𝜎	𝐵𝜌,𝜎	PROPN
cana-2211	205	12	(	(	PUNCT
cana-2211	205	13	𝑣−𝑣ℎ	𝑣−𝑣ℎ	NOUN
cana-2211	205	14	)	)	PUNCT
cana-2211	205	15	|||𝑣−𝑣ℎ|||	|||𝑣−𝑣ℎ|||	PROPN
cana-2211	205	16	,	,	PUNCT
cana-2211	205	17	(	(	PUNCT
cana-2211	205	18	4.1.6	4.1.6	NUM
cana-2211	205	19	)	)	PUNCT
cana-2211	205	20	where	where	SCONJ
cana-2211	205	21	𝑤	𝑤	ADP
cana-2211	205	22	=	=	PRON
cana-2211	205	23	𝑣	𝑣	PART
cana-2211	205	24	−	−	NOUN
cana-2211	205	25	𝑣ℎ.	𝑣ℎ.	ADP
cana-2211	205	26	putting	put	VERB
cana-2211	205	27	𝑎𝑇	𝑎𝑇	NOUN
cana-2211	205	28	=	=	SYM
cana-2211	205	29	3𝛼𝑇	3𝛼𝑇	PROPN
cana-2211	205	30	and	and	CCONJ
cana-2211	205	31	using	use	VERB
cana-2211	205	32	lemma	lemma	PROPN
cana-2211	205	33	2	2	PROPN
cana-2211	205	34	and	and	CCONJ
cana-2211	205	35	lemma	lemma	PROPN
cana-2211	205	36	3	3	NUM
cana-2211	205	37	in	in	ADP
cana-2211	205	38	eq.(4.1.2	eq.(4.1.2	NOUN
cana-2211	205	39	)	)	PUNCT
cana-2211	205	40	,	,	PUNCT
cana-2211	205	41	the	the	DET
cana-2211	205	42	above	above	ADJ
cana-2211	205	43	equation	equation	NOUN
cana-2211	205	44	reduces	reduce	VERB
cana-2211	205	45	to	to	PART
cana-2211	205	46	|||𝑣	|||𝑣	VERB
cana-2211	205	47	−	−	ADP
cana-2211	205	48	𝑣ℎ|||	𝑣ℎ|||	NUM
cana-2211	205	49	≤	≤	NOUN
cana-2211	206	1	[	[	X
cana-2211	206	2	(	(	PUNCT
cana-2211	206	3	∑	∑	PROPN
cana-2211	206	4	𝛼𝑇	𝛼𝑇	NOUN
cana-2211	206	5	2	2	NUM
cana-2211	206	6	||𝑅𝑇𝑇∈ℾℎ	||𝑅𝑇𝑇∈ℾℎ	ADJ
cana-2211	206	7	||𝑇	||𝑇	NOUN
cana-2211	206	8	2	2	NUM
cana-2211	206	9	)	)	PUNCT
cana-2211	206	10	1	1	NUM
cana-2211	206	11	2	2	NUM
cana-2211	206	12	+	+	CCONJ
cana-2211	206	13	(	(	PUNCT
cana-2211	206	14	∑	∑	PROPN
cana-2211	206	15	𝜖−	𝜖−	PROPN
cana-2211	206	16	1	1	NUM
cana-2211	206	17	2𝛼𝐸||𝑅𝐸𝐸⊂ℾ\𝜕ℾ𝐷	2𝛼𝐸||𝑅𝐸𝐸⊂ℾ\𝜕ℾ𝐷	NOUN
cana-2211	206	18	||𝐸	||𝐸	NOUN
cana-2211	206	19	2	2	NUM
cana-2211	206	20	)	)	PUNCT
cana-2211	206	21	1/2	1/2	NUM
cana-2211	206	22	]	]	PUNCT
cana-2211	206	23	.	.	PUNCT
cana-2211	207	1	𝑀1(𝑤,ℾℎ	𝑀1(𝑤,ℾℎ	NOUN
cana-2211	207	2	)	)	PUNCT
cana-2211	207	3	.	.	PUNCT
cana-2211	208	1	(	(	PUNCT
cana-2211	208	2	4.1.7	4.1.7	NUM
cana-2211	208	3	)	)	PUNCT
cana-2211	208	4	using	use	VERB
cana-2211	208	5	triangle	triangle	NOUN
cana-2211	208	6	inequalities	inequality	NOUN
cana-2211	208	7	||𝑅𝑇||𝑇	||𝑅𝑇||𝑇	VERB
cana-2211	208	8	2	2	NUM
cana-2211	208	9	≤	≤	NOUN
cana-2211	208	10	||𝑟𝑇	||𝑟𝑇	ADJ
cana-2211	208	11	−	−	NOUN
cana-2211	208	12	𝑅𝑇||𝑇	𝑅𝑇||𝑇	ADJ
cana-2211	208	13	2	2	NUM
cana-2211	208	14	+	+	CCONJ
cana-2211	208	15	||𝑟𝑇||𝑇	||𝑟𝑇||𝑇	X
cana-2211	208	16	2	2	NUM
cana-2211	208	17	,	,	PUNCT
cana-2211	208	18	||𝑅𝐸||𝑇	||𝑅𝐸||𝑇	NOUN
cana-2211	208	19	2	2	NUM
cana-2211	208	20	≤	≤	NOUN
cana-2211	208	21	||𝑟𝐸	||𝑟𝐸	NOUN
cana-2211	208	22	−	−	PROPN
cana-2211	208	23	𝑅𝐸||𝐸	𝑅𝐸||𝐸	NOUN
cana-2211	208	24	2	2	NUM
cana-2211	208	25	+	+	CCONJ
cana-2211	208	26	||𝑟𝐸||𝐸	||𝑟𝐸||𝐸	NOUN
cana-2211	208	27	2	2	NUM
cana-2211	208	28	,	,	PUNCT
cana-2211	208	29	substituting	substitute	VERB
cana-2211	208	30	these	these	DET
cana-2211	208	31	inequalities	inequality	NOUN
cana-2211	208	32	in	in	ADP
cana-2211	208	33	eq.(4.1.7	eq.(4.1.7	ADV
cana-2211	208	34	)	)	PUNCT
cana-2211	208	35	,	,	PUNCT
cana-2211	208	36	we	we	PRON
cana-2211	208	37	get	get	VERB
cana-2211	208	38	|||𝑣	|||𝑣	ADJ
cana-2211	208	39	−	−	NOUN
cana-2211	208	40	𝑣ℎ|||	𝑣ℎ|||	NUM
cana-2211	208	41	≤	≤	NUM
cana-2211	208	42	𝑀1(𝑣	𝑀1(𝑣	NOUN
cana-2211	208	43	−	−	PROPN
cana-2211	208	44	𝑣ℎ	𝑣ℎ	PROPN
cana-2211	208	45	,	,	PUNCT
cana-2211	208	46	ℾℎ	ℾℎ	PROPN
cana-2211	208	47	)	)	PUNCT
cana-2211	208	48	.	.	PUNCT
cana-2211	209	1	[	[	X
cana-2211	209	2	ƞ	ƞ	X
cana-2211	209	3	+	+	NOUN
cana-2211	209	4	£	£	SYM
cana-2211	209	5	]	]	PUNCT
cana-2211	209	6	,	,	PUNCT
cana-2211	209	7	where	where	SCONJ
cana-2211	209	8	ƞ	ƞ	NOUN
cana-2211	209	9	2	2	NUM
cana-2211	209	10	and	and	CCONJ
cana-2211	209	11	£	£	SYM
cana-2211	209	12	2	2	NUM
cana-2211	209	13	are	be	AUX
cana-2211	209	14	defined	define	VERB
cana-2211	209	15	in	in	ADP
cana-2211	209	16	eq.(4.1.1	eq.(4.1.1	NOUN
cana-2211	209	17	)	)	PUNCT
cana-2211	209	18	.	.	PUNCT
cana-2211	210	1	5	5	NUM
cana-2211	210	2	conclusion	conclusion	NOUN
cana-2211	210	3	in	in	ADP
cana-2211	210	4	the	the	DET
cana-2211	210	5	presented	present	VERB
cana-2211	210	6	work	work	NOUN
cana-2211	210	7	,	,	PUNCT
cana-2211	210	8	reliable	reliable	VERB
cana-2211	210	9	a	a	DET
cana-2211	210	10	posteriori	posteriori	NOUN
cana-2211	210	11	error	error	NOUN
cana-2211	210	12	estimates	estimate	NOUN
cana-2211	210	13	have	have	AUX
cana-2211	210	14	been	be	AUX
cana-2211	210	15	proposed	propose	VERB
cana-2211	210	16	for	for	ADP
cana-2211	210	17	singularly	singularly	ADV
cana-2211	210	18	perturbed	perturb	VERB
cana-2211	210	19	convection	convection	NOUN
cana-2211	210	20	-	-	PUNCT
cana-2211	210	21	diffusion	diffusion	NOUN
cana-2211	210	22	problem	problem	NOUN
cana-2211	210	23	in	in	ADP
cana-2211	210	24	three	three	NUM
cana-2211	210	25	-	-	PUNCT
cana-2211	210	26	dimensions	dimension	NOUN
cana-2211	210	27	.	.	PUNCT
cana-2211	211	1	hughes	hughe	NOUN
cana-2211	211	2	stabilization	stabilization	NOUN
cana-2211	211	3	technique	technique	NOUN
cana-2211	211	4	under	under	ADP
cana-2211	211	5	communications	communication	NOUN
cana-2211	211	6	on	on	ADP
cana-2211	211	7	applied	apply	VERB
cana-2211	211	8	nonlinear	nonlinear	ADJ
cana-2211	211	9	analysis	analysis	NOUN
cana-2211	211	10	issn	issn	NOUN
cana-2211	211	11	:	:	PUNCT
cana-2211	211	12	1074	1074	NUM
cana-2211	211	13	-	-	PUNCT
cana-2211	211	14	133x	133x	NUM
cana-2211	211	15	vol	vol	NOUN
cana-2211	211	16	32	32	NUM
cana-2211	211	17	no	no	NOUN
cana-2211	211	18	.	.	PUNCT
cana-2211	212	1	1s	1s	NUM
cana-2211	212	2	(	(	PUNCT
cana-2211	212	3	2025	2025	NUM
cana-2211	212	4	)	)	PUNCT
cana-2211	212	5	482	482	NUM
cana-2211	212	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2211	212	7	supg	supg	PROPN
cana-2211	212	8	finite	finite	PROPN
cana-2211	212	9	element	element	NOUN
cana-2211	212	10	framework	framework	NOUN
cana-2211	212	11	has	have	AUX
cana-2211	212	12	been	be	AUX
cana-2211	212	13	proposed	propose	VERB
cana-2211	212	14	to	to	PART
cana-2211	212	15	approximate	approximate	VERB
cana-2211	212	16	the	the	DET
cana-2211	212	17	solution	solution	NOUN
cana-2211	212	18	of	of	ADP
cana-2211	212	19	singularly	singularly	ADV
cana-2211	212	20	perturbed	perturb	VERB
cana-2211	212	21	problems	problem	NOUN
cana-2211	212	22	.	.	PUNCT
cana-2211	213	1	anisotropic	anisotropic	NOUN
cana-2211	213	2	meshes	mesh	NOUN
cana-2211	213	3	have	have	AUX
cana-2211	213	4	been	be	AUX
cana-2211	213	5	considered	consider	VERB
cana-2211	213	6	for	for	ADP
cana-2211	213	7	the	the	DET
cana-2211	213	8	domain	domain	NOUN
cana-2211	213	9	discretization	discretization	NOUN
cana-2211	213	10	.	.	PUNCT
cana-2211	214	1	at	at	ADP
cana-2211	214	2	the	the	DET
cana-2211	214	3	end	end	NOUN
cana-2211	214	4	,	,	PUNCT
cana-2211	214	5	residual	residual	ADJ
cana-2211	214	6	based	base	VERB
cana-2211	214	7	error	error	NOUN
cana-2211	214	8	estimates	estimate	NOUN
cana-2211	214	9	in	in	ADP
cana-2211	214	10	energy	energy	NOUN
cana-2211	214	11	norm	norm	NOUN
cana-2211	214	12	on	on	ADP
cana-2211	214	13	anisotropic	anisotropic	NOUN
cana-2211	214	14	meshes	mesh	NOUN
cana-2211	214	15	have	have	AUX
cana-2211	214	16	been	be	AUX
cana-2211	214	17	developed	develop	VERB
cana-2211	214	18	.	.	PUNCT
cana-2211	215	1	references	reference	NOUN
cana-2211	215	2	[	[	X
cana-2211	215	3	1	1	NUM
cana-2211	215	4	]	]	PUNCT
cana-2211	215	5	r.	r.	PROPN
cana-2211	215	6	branco	branco	PROPN
cana-2211	215	7	and	and	CCONJ
cana-2211	215	8	f.v	f.v	PROPN
cana-2211	215	9	.	.	PROPN
cana-2211	215	10	antunes	antunes	PROPN
cana-2211	215	11	,	,	PUNCT
cana-2211	215	12	finite	finite	PROPN
cana-2211	215	13	element	element	NOUN
cana-2211	215	14	modelling	modelling	NOUN
cana-2211	215	15	and	and	CCONJ
cana-2211	215	16	analysis	analysis	NOUN
cana-2211	215	17	of	of	ADP
cana-2211	215	18	crack	crack	NOUN
cana-2211	215	19	shape	shape	NOUN
cana-2211	215	20	evolution	evolution	NOUN
cana-2211	215	21	in	in	ADP
cana-2211	215	22	mode	mode	PROPN
cana-2211	215	23	-	-	PUNCT
cana-2211	215	24	i	i	PRON
cana-2211	215	25	fatigue	fatigue	NOUN
cana-2211	215	26	middle	middle	NOUN
cana-2211	215	27	cracked	crack	VERB
cana-2211	215	28	tension	tension	NOUN
cana-2211	215	29	specimens	specimen	NOUN
cana-2211	215	30	,	,	PUNCT
cana-2211	215	31	eng	eng	PROPN
cana-2211	215	32	.	.	PROPN
cana-2211	215	33	fract	fract	PROPN
cana-2211	215	34	.	.	PUNCT
cana-2211	216	1	mech	mech	PROPN
cana-2211	216	2	.	.	PUNCT
cana-2211	217	1	75:3020	75:3020	NOUN
cana-2211	217	2	-	-	SYM
cana-2211	217	3	3037	3037	NUM
cana-2211	217	4	,	,	PUNCT
cana-2211	217	5	2008	2008	NUM
cana-2211	217	6	.	.	PUNCT
cana-2211	218	1	[	[	X
cana-2211	218	2	2	2	NUM
cana-2211	218	3	]	]	X
cana-2211	218	4	a.n	a.n	PROPN
cana-2211	218	5	.	.	PROPN
cana-2211	218	6	brooks	brooks	PROPN
cana-2211	218	7	and	and	CCONJ
cana-2211	218	8	t.j.r	t.j.r	NOUN
cana-2211	218	9	.	.	PUNCT
cana-2211	219	1	hughes	hughe	NOUN
cana-2211	219	2	,	,	PUNCT
cana-2211	219	3	streamline	streamline	VERB
cana-2211	219	4	upwind	upwind	NOUN
cana-2211	219	5	/	/	SYM
cana-2211	219	6	petrov	petrov	PROPN
cana-2211	219	7	-	-	PUNCT
cana-2211	219	8	galerkin	galerkin	PROPN
cana-2211	219	9	formulations	formulation	NOUN
cana-2211	219	10	for	for	ADP
cana-2211	219	11	convection	convection	NOUN
cana-2211	219	12	dominated	dominate	VERB
cana-2211	219	13	flows	flow	NOUN
cana-2211	219	14	with	with	ADP
cana-2211	219	15	particular	particular	ADJ
cana-2211	219	16	emphasis	emphasis	NOUN
cana-2211	219	17	on	on	ADP
cana-2211	219	18	the	the	DET
cana-2211	219	19	incompressible	incompressible	ADJ
cana-2211	219	20	navier	navier	NOUN
cana-2211	219	21	-	-	PUNCT
cana-2211	219	22	stokes	stoke	NOUN
cana-2211	219	23	equations	equation	NOUN
cana-2211	219	24	,	,	PUNCT
cana-2211	219	25	comput	comput	NOUN
cana-2211	219	26	.	.	PUNCT
cana-2211	220	1	methods	method	NOUN
cana-2211	220	2	appl	appl	PROPN
cana-2211	220	3	.	.	PROPN
cana-2211	220	4	mech	mech	PROPN
cana-2211	220	5	.	.	PUNCT
cana-2211	221	1	engrg	engrg	PROPN
cana-2211	221	2	.	.	PUNCT
cana-2211	222	1	32:199	32:199	NUM
cana-2211	222	2	-	-	SYM
cana-2211	222	3	259	259	NUM
cana-2211	222	4	,	,	PUNCT
cana-2211	222	5	1982	1982	NUM
cana-2211	222	6	.	.	PUNCT
cana-2211	223	1	[	[	X
cana-2211	223	2	3	3	X
cana-2211	223	3	]	]	X
cana-2211	223	4	c.	c.	PROPN
cana-2211	223	5	carstensen	carstensen	PROPN
cana-2211	223	6	,	,	PUNCT
cana-2211	223	7	r.	r.	PROPN
cana-2211	223	8	lazarov	lazarov	PROPN
cana-2211	223	9	and	and	CCONJ
cana-2211	223	10	s.	s.	PROPN
cana-2211	223	11	tomov	tomov	ADJ
cana-2211	223	12	,	,	PUNCT
cana-2211	223	13	explicit	explicit	ADJ
cana-2211	223	14	and	and	CCONJ
cana-2211	223	15	averaging	average	VERB
cana-2211	223	16	a	a	DET
cana-2211	223	17	posteriori	posteriori	NOUN
cana-2211	223	18	error	error	NOUN
cana-2211	223	19	estimates	estimate	NOUN
cana-2211	223	20	for	for	ADP
cana-2211	223	21	adaptive	adaptive	ADJ
cana-2211	223	22	finite	finite	ADJ
cana-2211	223	23	volume	volume	NOUN
cana-2211	223	24	methods	method	NOUN
cana-2211	223	25	,	,	PUNCT
cana-2211	223	26	siam	siam	PROPN
cana-2211	223	27	j.	j.	PROPN
cana-2211	223	28	numer	numer	PROPN
cana-2211	223	29	.	.	PUNCT
cana-2211	224	1	anal	anal	PROPN
cana-2211	224	2	.	.	PUNCT
cana-2211	225	1	42(6):2496	42(6):2496	NOUN
cana-2211	225	2	-	-	PUNCT
cana-2211	225	3	2521	2521	NUM
cana-2211	225	4	,	,	PUNCT
cana-2211	225	5	2006	2006	NUM
cana-2211	225	6	.	.	PUNCT
cana-2211	226	1	[	[	X
cana-2211	226	2	4	4	X
cana-2211	226	3	]	]	PUNCT
cana-2211	226	4	p.	p.	NOUN
cana-2211	226	5	cl𝑒	cl𝑒	PROPN
cana-2211	226	6	′ment	′ment	ADJ
cana-2211	226	7	,	,	PUNCT
cana-2211	226	8	approximation	approximation	NOUN
cana-2211	226	9	by	by	ADP
cana-2211	226	10	finite	finite	PROPN
cana-2211	226	11	element	element	NOUN
cana-2211	226	12	functions	function	NOUN
cana-2211	226	13	using	use	VERB
cana-2211	226	14	local	local	ADJ
cana-2211	226	15	regularization	regularization	NOUN
cana-2211	226	16	,	,	PUNCT
cana-2211	226	17	rairo	rairo	PROPN
cana-2211	226	18	anal	anal	PROPN
cana-2211	226	19	.	.	PUNCT
cana-2211	227	1	numer	numer	PROPN
cana-2211	227	2	.	.	PUNCT
cana-2211	228	1	2:77	2:77	NUM
cana-2211	228	2	-	-	PUNCT
cana-2211	228	3	84	84	NUM
cana-2211	228	4	,	,	PUNCT
cana-2211	228	5	1975	1975	NUM
cana-2211	228	6	.	.	PUNCT
cana-2211	229	1	[	[	X
cana-2211	229	2	5	5	NUM
cana-2211	229	3	]	]	PUNCT
cana-2211	229	4	a.	a.	NOUN
cana-2211	229	5	ern	ern	PROPN
cana-2211	229	6	,	,	PUNCT
cana-2211	229	7	a.f	a.f	PROPN
cana-2211	229	8	.	.	PROPN
cana-2211	229	9	stephansen	stephansen	PROPN
cana-2211	229	10	and	and	CCONJ
cana-2211	229	11	m.	m.	NOUN
cana-2211	229	12	vohral$\acute{i}$k	vohral$\acute{i}$k	PROPN
cana-2211	229	13	,	,	PUNCT
cana-2211	229	14	guaranteed	guarantee	VERB
cana-2211	229	15	and	and	CCONJ
cana-2211	229	16	robust	robust	ADJ
cana-2211	229	17	discontinuous	discontinuous	ADJ
cana-2211	229	18	galerkin	galerkin	NOUN
cana-2211	229	19	a	a	DET
cana-2211	229	20	posteriori	posteriori	NOUN
cana-2211	229	21	error	error	NOUN
cana-2211	229	22	estimates	estimate	NOUN
cana-2211	229	23	for	for	ADP
cana-2211	229	24	convection	convection	NOUN
cana-2211	229	25	-	-	PUNCT
cana-2211	229	26	diffusion	diffusion	NOUN
cana-2211	229	27	-	-	PUNCT
cana-2211	229	28	reaction	reaction	NOUN
cana-2211	229	29	problems	problem	NOUN
cana-2211	229	30	,	,	PUNCT
cana-2211	229	31	j.	j.	PROPN
cana-2211	229	32	comput	comput	PROPN
cana-2211	229	33	.	.	PUNCT
cana-2211	230	1	appl	appl	PROPN
cana-2211	230	2	.	.	PUNCT
cana-2211	230	3	math	math	PROPN
cana-2211	230	4	.	.	PUNCT
cana-2211	231	1	234:114	234:114	NUM
cana-2211	231	2	-	-	PUNCT
cana-2211	231	3	130	130	NUM
cana-2211	231	4	,	,	PUNCT
cana-2211	231	5	2010	2010	NUM
cana-2211	231	6	.	.	PUNCT
cana-2211	232	1	[	[	X
cana-2211	232	2	6	6	NUM
cana-2211	232	3	]	]	PUNCT
cana-2211	232	4	t.j.r	t.j.r	NOUN
cana-2211	232	5	.	.	PUNCT
cana-2211	233	1	hughes	hughes	PROPN
cana-2211	233	2	,	,	PUNCT
cana-2211	233	3	m.	m.	NOUN
cana-2211	233	4	mallet	mallet	NOUN
cana-2211	233	5	,	,	PUNCT
cana-2211	233	6	akira	akira	PROPN
cana-2211	233	7	and	and	CCONJ
cana-2211	233	8	mizukami	mizukami	PROPN
cana-2211	233	9	,	,	PUNCT
cana-2211	233	10	a	a	DET
cana-2211	233	11	new	new	ADJ
cana-2211	233	12	finite	finite	ADJ
cana-2211	233	13	element	element	NOUN
cana-2211	233	14	formulation	formulation	NOUN
cana-2211	233	15	for	for	ADP
cana-2211	233	16	computational	computational	ADJ
cana-2211	233	17	fluid	fluid	ADJ
cana-2211	233	18	dynamics	dynamic	NOUN
cana-2211	233	19	:	:	PUNCT
cana-2211	233	20	ii	ii	X
cana-2211	233	21	.	.	PROPN
cana-2211	234	1	beyond	beyond	ADP
cana-2211	234	2	supg	supg	NOUN
cana-2211	234	3	,	,	PUNCT
cana-2211	234	4	comput	comput	NOUN
cana-2211	234	5	.	.	PUNCT
cana-2211	235	1	methods	method	NOUN
cana-2211	235	2	appl	appl	PROPN
cana-2211	235	3	.	.	PROPN
cana-2211	235	4	mech	mech	PROPN
cana-2211	235	5	.	.	PUNCT
cana-2211	236	1	engrg	engrg	PROPN
cana-2211	236	2	.	.	PUNCT
cana-2211	237	1	54:341	54:341	NUM
cana-2211	237	2	-	-	SYM
cana-2211	237	3	355	355	NUM
cana-2211	237	4	,	,	PUNCT
cana-2211	237	5	1986	1986	NUM
cana-2211	237	6	.	.	PUNCT
cana-2211	238	1	[	[	X
cana-2211	238	2	7	7	X
cana-2211	238	3	]	]	X
cana-2211	238	4	v.	v.	PROPN
cana-2211	238	5	john	john	PROPN
cana-2211	238	6	and	and	CCONJ
cana-2211	238	7	k.	k.	PROPN
cana-2211	238	8	knobloch	knobloch	PROPN
cana-2211	238	9	,	,	PUNCT
cana-2211	238	10	on	on	ADP
cana-2211	238	11	spurious	spurious	ADJ
cana-2211	238	12	oscillations	oscillation	NOUN
cana-2211	238	13	at	at	ADP
cana-2211	238	14	layers	layer	NOUN
cana-2211	238	15	diminishing	diminish	VERB
cana-2211	238	16	(	(	PUNCT
cana-2211	238	17	sold	sell	VERB
cana-2211	238	18	)	)	PUNCT
cana-2211	238	19	methods	method	NOUN
cana-2211	238	20	for	for	ADP
cana-2211	238	21	convection	convection	NOUN
cana-2211	238	22	-	-	PUNCT
cana-2211	238	23	diffusion	diffusion	NOUN
cana-2211	238	24	equations	equation	NOUN
cana-2211	238	25	:	:	PUNCT
cana-2211	238	26	part	part	NOUN
cana-2211	238	27	i	i	PRON
cana-2211	238	28	-	-	PUNCT
cana-2211	238	29	a	a	DET
cana-2211	238	30	review	review	NOUN
cana-2211	238	31	,	,	PUNCT
cana-2211	238	32	comput	comput	NOUN
cana-2211	238	33	.	.	PUNCT
cana-2211	239	1	methods	method	NOUN
cana-2211	239	2	appl	appl	PROPN
cana-2211	239	3	.	.	PROPN
cana-2211	239	4	mech	mech	PROPN
cana-2211	239	5	.	.	PUNCT
cana-2211	240	1	engrg	engrg	PROPN
cana-2211	240	2	.	.	PUNCT
cana-2211	241	1	196:2197	196:2197	NUM
cana-2211	241	2	-	-	SYM
cana-2211	241	3	2215	2215	NUM
cana-2211	241	4	,	,	PUNCT
cana-2211	241	5	2007	2007	NUM
cana-2211	241	6	.	.	PUNCT
cana-2211	242	1	[	[	X
cana-2211	242	2	8	8	NUM
cana-2211	242	3	]	]	X
cana-2211	242	4	g.	g.	PROPN
cana-2211	242	5	kunert	kunert	PROPN
cana-2211	242	6	,	,	PUNCT
cana-2211	242	7	an	an	DET
cana-2211	242	8	a	a	DET
cana-2211	242	9	posteriori	posteriori	NOUN
cana-2211	242	10	residual	residual	ADJ
cana-2211	242	11	error	error	NOUN
cana-2211	242	12	estimator	estimator	NOUN
cana-2211	242	13	for	for	ADP
cana-2211	242	14	the	the	DET
cana-2211	242	15	finite	finite	ADJ
cana-2211	242	16	element	element	NOUN
cana-2211	242	17	method	method	NOUN
cana-2211	242	18	on	on	ADP
cana-2211	242	19	anisotropic	anisotropic	NOUN
cana-2211	242	20	tetrahedral	tetrahedral	ADJ
cana-2211	242	21	meshes	mesh	NOUN
cana-2211	242	22	,	,	PUNCT
cana-2211	242	23	numer	numer	PROPN
cana-2211	242	24	.	.	PUNCT
cana-2211	242	25	math	math	NOUN
cana-2211	242	26	.	.	PUNCT
cana-2211	243	1	86:471	86:471	NUM
cana-2211	243	2	-	-	PUNCT
cana-2211	243	3	490	490	NUM
cana-2211	243	4	,	,	PUNCT
cana-2211	243	5	2000	2000	NUM
cana-2211	243	6	.	.	PUNCT
cana-2211	244	1	[	[	X
cana-2211	244	2	9	9	NUM
cana-2211	244	3	]	]	X
cana-2211	244	4	g.	g.	PROPN
cana-2211	244	5	kunert	kunert	PROPN
cana-2211	244	6	,	,	PUNCT
cana-2211	244	7	robust	robust	ADJ
cana-2211	244	8	a	a	DET
cana-2211	244	9	posteriori	posteriori	NOUN
cana-2211	244	10	error	error	NOUN
cana-2211	244	11	estimation	estimation	NOUN
cana-2211	244	12	for	for	ADP
cana-2211	244	13	a	a	DET
cana-2211	244	14	singularly	singularly	ADV
cana-2211	244	15	perturbed	perturb	VERB
cana-2211	244	16	reaction	reaction	NOUN
cana-2211	244	17	-	-	PUNCT
cana-2211	244	18	diffusion	diffusion	NOUN
cana-2211	244	19	equation	equation	NOUN
cana-2211	244	20	on	on	ADP
cana-2211	244	21	anisotropic	anisotropic	NOUN
cana-2211	244	22	tetrahedral	tetrahedral	ADJ
cana-2211	244	23	meshes	mesh	NOUN
cana-2211	244	24	,	,	PUNCT
cana-2211	244	25	adv	adv	PROPN
cana-2211	244	26	.	.	PUNCT
cana-2211	244	27	comp	comp	PROPN
cana-2211	244	28	.	.	PUNCT
cana-2211	245	1	math	math	NOUN
cana-2211	245	2	.	.	PUNCT
cana-2211	246	1	15:237	15:237	NUM
cana-2211	246	2	-	-	SYM
cana-2211	246	3	259	259	NUM
cana-2211	246	4	,	,	PUNCT
cana-2211	246	5	2001	2001	NUM
cana-2211	246	6	.	.	PUNCT
cana-2211	247	1	[	[	X
cana-2211	247	2	10	10	NUM
cana-2211	247	3	]	]	X
cana-2211	247	4	r.	r.	PROPN
cana-2211	247	5	lazarov	lazarov	PROPN
cana-2211	247	6	and	and	CCONJ
cana-2211	247	7	s.	s.	PROPN
cana-2211	247	8	tomov	tomov	PROPN
cana-2211	247	9	,	,	PUNCT
cana-2211	247	10	a	a	DET
cana-2211	247	11	posteriori	posteriori	NOUN
cana-2211	247	12	error	error	NOUN
cana-2211	247	13	estimates	estimate	NOUN
cana-2211	247	14	for	for	ADP
cana-2211	247	15	finite	finite	ADJ
cana-2211	247	16	volume	volume	NOUN
cana-2211	247	17	element	element	NOUN
cana-2211	247	18	approximations	approximation	NOUN
cana-2211	247	19	of	of	ADP
cana-2211	247	20	convectiondiffusion	convectiondiffusion	NOUN
cana-2211	247	21	-	-	PUNCT
cana-2211	247	22	reaction	reaction	NOUN
cana-2211	247	23	equations	equation	NOUN
cana-2211	247	24	,	,	PUNCT
cana-2211	247	25	computat	computat	PROPN
cana-2211	247	26	geosci	geosci	PROPN
cana-2211	247	27	.	.	PUNCT
cana-2211	248	1	6(3):483	6(3):483	NUM
cana-2211	248	2	-	-	SYM
cana-2211	248	3	503	503	NUM
cana-2211	248	4	,	,	PUNCT
cana-2211	248	5	2002	2002	NUM
cana-2211	248	6	.	.	PUNCT
cana-2211	249	1	[	[	X
cana-2211	249	2	11	11	NUM
cana-2211	249	3	]	]	X
cana-2211	249	4	r.k	r.k	PROPN
cana-2211	249	5	.	.	PROPN
cana-2211	249	6	mohanty	mohanty	PROPN
cana-2211	249	7	and	and	CCONJ
cana-2211	249	8	n.	n.	PROPN
cana-2211	249	9	setia	setia	PROPN
cana-2211	249	10	,	,	PUNCT
cana-2211	249	11	a	a	DET
cana-2211	249	12	new	new	ADJ
cana-2211	249	13	high	high	ADJ
cana-2211	249	14	order	order	NOUN
cana-2211	249	15	compact	compact	ADJ
cana-2211	249	16	off	off	ADP
cana-2211	249	17	-	-	PUNCT
cana-2211	249	18	step	step	NOUN
cana-2211	249	19	discretization	discretization	NOUN
cana-2211	249	20	for	for	ADP
cana-2211	249	21	the	the	DET
cana-2211	249	22	system	system	NOUN
cana-2211	249	23	of	of	ADP
cana-2211	249	24	3d	3d	PROPN
cana-2211	249	25	quasi	quasi	ADJ
cana-2211	249	26	-	-	ADJ
cana-2211	249	27	linear	linear	ADJ
cana-2211	249	28	elliptic	elliptic	ADJ
cana-2211	249	29	partial	partial	ADJ
cana-2211	249	30	differential	differential	NOUN
cana-2211	249	31	equations	equation	NOUN
cana-2211	249	32	,	,	PUNCT
cana-2211	249	33	appl	appl	PROPN
cana-2211	249	34	.	.	PROPN
cana-2211	249	35	math	math	PROPN
cana-2211	249	36	.	.	PUNCT
cana-2211	250	1	model	model	NOUN
cana-2211	250	2	.	.	PUNCT
cana-2211	251	1	37:6870	37:6870	X
cana-2211	251	2	-	-	SYM
cana-2211	251	3	6883	6883	NUM
cana-2211	251	4	,	,	PUNCT
cana-2211	251	5	2013	2013	NUM
cana-2211	251	6	.	.	PUNCT
cana-2211	252	1	[	[	X
cana-2211	252	2	12	12	NUM
cana-2211	252	3	]	]	X
cana-2211	252	4	r.k	r.k	PROPN
cana-2211	252	5	.	.	PROPN
cana-2211	252	6	mohanty	mohanty	PROPN
cana-2211	252	7	,	,	PUNCT
cana-2211	252	8	w.	w.	PROPN
cana-2211	252	9	dai	dai	PROPN
cana-2211	252	10	and	and	CCONJ
cana-2211	252	11	f.	f.	PROPN
cana-2211	252	12	han	han	PROPN
cana-2211	252	13	,	,	PUNCT
cana-2211	252	14	compact	compact	ADJ
cana-2211	252	15	operator	operator	NOUN
cana-2211	252	16	method	method	NOUN
cana-2211	252	17	of	of	ADP
cana-2211	252	18	accuracy	accuracy	NOUN
cana-2211	252	19	two	two	NUM
cana-2211	252	20	in	in	ADP
cana-2211	252	21	time	time	NOUN
cana-2211	252	22	and	and	CCONJ
cana-2211	252	23	four	four	NUM
cana-2211	252	24	in	in	ADP
cana-2211	252	25	space	space	NOUN
cana-2211	252	26	for	for	ADP
cana-2211	252	27	the	the	DET
cana-2211	252	28	numerical	numerical	ADJ
cana-2211	252	29	solution	solution	NOUN
cana-2211	252	30	of	of	ADP
cana-2211	252	31	coupled	couple	VERB
cana-2211	252	32	viscous	viscous	ADJ
cana-2211	252	33	burger	burger	NOUN
cana-2211	252	34	's	's	PART
cana-2211	252	35	equations	equation	NOUN
cana-2211	252	36	,	,	PUNCT
cana-2211	252	37	appl	appl	PROPN
cana-2211	252	38	.	.	PROPN
cana-2211	252	39	math	math	PROPN
cana-2211	252	40	.	.	PUNCT
cana-2211	253	1	comput	comput	NOUN
cana-2211	253	2	.	.	PUNCT
cana-2211	254	1	256:381	256:381	X
cana-2211	254	2	-	-	PUNCT
cana-2211	254	3	393	393	NUM
cana-2211	254	4	,	,	PUNCT
cana-2211	254	5	2015	2015	NUM
cana-2211	254	6	.	.	PUNCT
cana-2211	255	1	[	[	X
cana-2211	255	2	13	13	NUM
cana-2211	255	3	]	]	PUNCT
cana-2211	255	4	a.	a.	NOUN
cana-2211	255	5	mola	mola	PROPN
cana-2211	255	6	,	,	PUNCT
cana-2211	255	7	l.	l.	PROPN
cana-2211	255	8	heltai	heltai	PROPN
cana-2211	255	9	and	and	CCONJ
cana-2211	255	10	a.d	a.d	PROPN
cana-2211	255	11	.	.	PROPN
cana-2211	255	12	simone	simone	PROPN
cana-2211	255	13	,	,	PUNCT
cana-2211	255	14	a	a	DET
cana-2211	255	15	stable	stable	ADJ
cana-2211	255	16	and	and	CCONJ
cana-2211	255	17	adaptive	adaptive	ADJ
cana-2211	255	18	semi	semi	ADJ
cana-2211	255	19	-	-	ADJ
cana-2211	255	20	lagrangian	lagrangian	ADJ
cana-2211	255	21	potential	potential	ADJ
cana-2211	255	22	model	model	NOUN
cana-2211	255	23	for	for	ADP
cana-2211	255	24	unsteady	unsteady	ADJ
cana-2211	255	25	and	and	CCONJ
cana-2211	255	26	nonlinear	nonlinear	ADJ
cana-2211	255	27	ship	ship	NOUN
cana-2211	255	28	-	-	PUNCT
cana-2211	255	29	wave	wave	NOUN
cana-2211	255	30	interactions	interaction	NOUN
cana-2211	255	31	,	,	PUNCT
cana-2211	255	32	eng	eng	PROPN
cana-2211	255	33	.	.	PROPN
cana-2211	255	34	anal	anal	PROPN
cana-2211	255	35	.	.	PUNCT
cana-2211	256	1	bound	bind	VERB
cana-2211	256	2	.	.	PUNCT
cana-2211	256	3	elem	elem	NOUN
cana-2211	256	4	.	.	PUNCT
cana-2211	257	1	37:128	37:128	PROPN
cana-2211	257	2	-	-	SYM
cana-2211	257	3	143	143	NUM
cana-2211	257	4	,	,	PUNCT
cana-2211	257	5	2013	2013	NUM
cana-2211	257	6	.	.	PUNCT
cana-2211	258	1	[	[	X
cana-2211	258	2	14	14	NUM
cana-2211	258	3	]	]	X
cana-2211	258	4	e.b	e.b	PROPN
cana-2211	258	5	.	.	PROPN
cana-2211	258	6	postnikov	postnikov	PROPN
cana-2211	258	7	and	and	CCONJ
cana-2211	258	8	o.v	o.v	PROPN
cana-2211	258	9	.	.	PROPN
cana-2211	258	10	titkova	titkova	PROPN
cana-2211	258	11	,	,	PUNCT
cana-2211	258	12	a	a	DET
cana-2211	258	13	correspondence	correspondence	NOUN
cana-2211	258	14	between	between	ADP
cana-2211	258	15	the	the	DET
cana-2211	258	16	models	model	NOUN
cana-2211	258	17	of	of	ADP
cana-2211	258	18	hodgkin	hodgkin	PROPN
cana-2211	258	19	-	-	PUNCT
cana-2211	258	20	huxley	huxley	PROPN
cana-2211	258	21	and	and	CCONJ
cana-2211	258	22	fitzhughnagumo	fitzhughnagumo	ADJ
cana-2211	258	23	revisited	revisit	VERB
cana-2211	258	24	,	,	PUNCT
cana-2211	258	25	eur	eur	PROPN
cana-2211	259	1	.	.	PUNCT
cana-2211	259	2	phys	phy	NOUN
cana-2211	259	3	.	.	PUNCT
cana-2211	260	1	j.	j.	PROPN
cana-2211	260	2	plus	plus	PROPN
cana-2211	260	3	.	.	PUNCT
cana-2211	261	1	131:1	131:1	NUM
cana-2211	261	2	-	-	SYM
cana-2211	261	3	9	9	NUM
cana-2211	261	4	,	,	PUNCT
cana-2211	261	5	2016	2016	NUM
cana-2211	261	6	.	.	PUNCT
cana-2211	262	1	[	[	X
cana-2211	262	2	15	15	NUM
cana-2211	262	3	]	]	X
cana-2211	262	4	h.g	h.g	PROPN
cana-2211	262	5	.	.	PROPN
cana-2211	262	6	roos	roos	PROPN
cana-2211	262	7	,	,	PUNCT
cana-2211	262	8	m.	m.	NOUN
cana-2211	262	9	stynes	styne	NOUN
cana-2211	262	10	and	and	CCONJ
cana-2211	262	11	l.	l.	PROPN
cana-2211	262	12	tobiska	tobiska	PROPN
cana-2211	262	13	,	,	PUNCT
cana-2211	262	14	numerical	numerical	ADJ
cana-2211	262	15	methods	method	NOUN
cana-2211	262	16	for	for	ADP
cana-2211	262	17	singularly	singularly	ADV
cana-2211	262	18	perturbed	perturb	VERB
cana-2211	262	19	differential	differential	ADJ
cana-2211	262	20	equations	equation	NOUN
cana-2211	262	21	,	,	PUNCT
cana-2211	262	22	springer	springer	NOUN
cana-2211	262	23	,	,	PUNCT
cana-2211	262	24	berlin	berlin	PROPN
cana-2211	262	25	,	,	PUNCT
cana-2211	262	26	1996	1996	NUM
cana-2211	262	27	.	.	PUNCT
cana-2211	263	1	[	[	X
cana-2211	263	2	16	16	X
cana-2211	263	3	]	]	X
cana-2211	263	4	v.	v.	CCONJ
cana-2211	263	5	sangwan	sangwan	ADV
cana-2211	263	6	,	,	PUNCT
cana-2211	263	7	b.v.r	b.v.r	NOUN
cana-2211	263	8	.	.	PUNCT
cana-2211	264	1	kumar	kumar	PROPN
cana-2211	264	2	,	,	PUNCT
cana-2211	264	3	s.v.s.s.n.v.g.k	s.v.s.s.n.v.g.k	PROPN
cana-2211	264	4	.	.	PROPN
cana-2211	265	1	murthy	murthy	PROPN
cana-2211	265	2	and	and	CCONJ
cana-2211	265	3	m.	m.	PROPN
cana-2211	265	4	nigam	nigam	PROPN
cana-2211	265	5	,	,	PUNCT
cana-2211	265	6	three	three	NUM
cana-2211	265	7	-	-	PUNCT
cana-2211	265	8	step	step	NOUN
cana-2211	265	9	taylor	taylor	PROPN
cana-2211	265	10	galerkin	galerkin	PROPN
cana-2211	265	11	method	method	NOUN
cana-2211	265	12	for	for	ADP
cana-2211	265	13	singularly	singularly	ADV
cana-2211	265	14	perturbed	perturb	VERB
cana-2211	265	15	generalized	generalized	ADJ
cana-2211	265	16	hodgkin	hodgkin	PROPN
cana-2211	265	17	-	-	PUNCT
cana-2211	265	18	huxley	huxley	PROPN
cana-2211	265	19	equation	equation	NOUN
cana-2211	265	20	,	,	PUNCT
cana-2211	265	21	int	int	NOUN
cana-2211	265	22	.	.	PUNCT
cana-2211	266	1	j.	j.	PROPN
cana-2211	266	2	model	model	PROPN
cana-2211	266	3	.	.	PUNCT
cana-2211	267	1	simul	simul	PROPN
cana-2211	267	2	.	.	PUNCT
cana-2211	268	1	sci	sci	PROPN
cana-2211	268	2	.	.	PUNCT
cana-2211	268	3	comput	comput	PROPN
cana-2211	268	4	.	.	PUNCT
cana-2211	269	1	1:257	1:257	NUM
cana-2211	269	2	-	-	SYM
cana-2211	269	3	276	276	NUM
cana-2211	269	4	,	,	PUNCT
cana-2211	269	5	2010	2010	NUM
cana-2211	269	6	.	.	PUNCT
cana-2211	270	1	[	[	X
cana-2211	270	2	17	17	NUM
cana-2211	270	3	]	]	PUNCT
cana-2211	270	4	s.	s.	PROPN
cana-2211	270	5	zhai	zhai	PROPN
cana-2211	270	6	,	,	PUNCT
cana-2211	270	7	x.	x.	PROPN
cana-2211	270	8	feng	feng	PROPN
cana-2211	270	9	and	and	CCONJ
cana-2211	270	10	y.	y.	PROPN
cana-2211	270	11	he	he	PRON
cana-2211	270	12	,	,	PUNCT
cana-2211	270	13	an	an	DET
cana-2211	270	14	unconditionally	unconditionally	ADV
cana-2211	270	15	stable	stable	ADJ
cana-2211	270	16	compact	compact	ADJ
cana-2211	270	17	adi	adi	NOUN
cana-2211	270	18	method	method	NOUN
cana-2211	270	19	for	for	ADP
cana-2211	270	20	three	three	NUM
cana-2211	270	21	-	-	PUNCT
cana-2211	270	22	dimensional	dimensional	ADJ
cana-2211	270	23	time	time	NOUN
cana-2211	270	24	-	-	PUNCT
cana-2211	270	25	fractional	fractional	ADJ
cana-2211	270	26	convection	convection	NOUN
cana-2211	270	27	-	-	PUNCT
cana-2211	270	28	difusion	difusion	NOUN
cana-2211	270	29	equation	equation	NOUN
cana-2211	270	30	.	.	PUNCT
cana-2211	271	1	j.	j.	PROPN
cana-2211	271	2	comput	comput	PROPN
cana-2211	271	3	.	.	PUNCT
cana-2211	272	1	phys	phy	NOUN
cana-2211	272	2	.	.	PUNCT
cana-2211	273	1	269:138	269:138	PROPN
cana-2211	273	2	-	-	PUNCT
cana-2211	273	3	155	155	NUM
cana-2211	273	4	,	,	PUNCT
cana-2211	273	5	2014	2014	NUM
cana-2211	273	6	.	.	PUNCT