id	sid	tid	token	lemma	pos
t722h70625t	1	1	this	this	DET
t722h70625t	1	2	thesis	thesis	NOUN
t722h70625t	1	3	focuses	focus	VERB
t722h70625t	1	4	on	on	ADP
t722h70625t	1	5	developing	develop	VERB
t722h70625t	1	6	effective	effective	ADJ
t722h70625t	1	7	r	r	NOUN
t722h70625t	1	8	-	-	PUNCT
t722h70625t	1	9	adaptive	adaptive	ADJ
t722h70625t	1	10	moving	moving	NOUN
t722h70625t	1	11	mesh	mesh	NOUN
t722h70625t	1	12	methods	method	NOUN
t722h70625t	1	13	for	for	ADP
t722h70625t	1	14	the	the	DET
t722h70625t	1	15	numerical	numerical	ADJ
t722h70625t	1	16	solution	solution	NOUN
t722h70625t	1	17	of	of	ADP
t722h70625t	1	18	partial	partial	ADJ
t722h70625t	1	19	differential	differential	ADJ
t722h70625t	1	20	equations	equation	NOUN
t722h70625t	1	21	(	(	PUNCT
t722h70625t	1	22	pdes	pde	NOUN
t722h70625t	1	23	)	)	PUNCT
t722h70625t	1	24	.	.	PUNCT
t722h70625t	2	1	recent	recent	ADJ
t722h70625t	2	2	develops	develop	VERB
t722h70625t	2	3	in	in	ADP
t722h70625t	2	4	moving	move	VERB
t722h70625t	2	5	mesh	mesh	NOUN
t722h70625t	2	6	methods	method	NOUN
t722h70625t	2	7	have	have	AUX
t722h70625t	2	8	shown	show	VERB
t722h70625t	2	9	wide	wide	ADJ
t722h70625t	2	10	applicability	applicability	NOUN
t722h70625t	2	11	of	of	ADP
t722h70625t	2	12	the	the	DET
t722h70625t	2	13	methods	method	NOUN
t722h70625t	2	14	for	for	ADP
t722h70625t	2	15	resolving	resolve	VERB
t722h70625t	2	16	fine	fine	ADJ
t722h70625t	2	17	scale	scale	NOUN
t722h70625t	2	18	features	feature	NOUN
t722h70625t	2	19	such	such	ADJ
t722h70625t	2	20	as	as	ADP
t722h70625t	2	21	shocks	shock	NOUN
t722h70625t	2	22	and	and	CCONJ
t722h70625t	2	23	singularities	singularity	NOUN
t722h70625t	2	24	in	in	ADP
t722h70625t	2	25	nonlinear	nonlinear	ADJ
t722h70625t	2	26	partial	partial	ADJ
t722h70625t	2	27	differential	differential	ADJ
t722h70625t	2	28	equations	equation	NOUN
t722h70625t	2	29	.	.	PUNCT
t722h70625t	3	1	unlike	unlike	ADP
t722h70625t	3	2	other	other	ADJ
t722h70625t	3	3	adaptive	adaptive	ADJ
t722h70625t	3	4	meshing	meshing	NOUN
t722h70625t	3	5	methods	method	NOUN
t722h70625t	3	6	,	,	PUNCT
t722h70625t	3	7	the	the	DET
t722h70625t	3	8	moving	move	VERB
t722h70625t	3	9	mesh	mesh	NOUN
t722h70625t	3	10	meshing	meshing	NOUN
t722h70625t	3	11	methods	method	NOUN
t722h70625t	3	12	resolve	resolve	VERB
t722h70625t	3	13	fine	fine	ADJ
t722h70625t	3	14	scale	scale	NOUN
t722h70625t	3	15	solution	solution	NOUN
t722h70625t	3	16	behavior	behavior	NOUN
t722h70625t	3	17	while	while	SCONJ
t722h70625t	3	18	keeping	keep	VERB
t722h70625t	3	19	a	a	DET
t722h70625t	3	20	fixed	fix	VERB
t722h70625t	3	21	number	number	NOUN
t722h70625t	3	22	of	of	ADP
t722h70625t	3	23	mesh	mesh	NOUN
t722h70625t	3	24	points	point	NOUN
t722h70625t	3	25	and	and	CCONJ
t722h70625t	3	26	fixed	fix	VERB
t722h70625t	3	27	connectivity	connectivity	NOUN
t722h70625t	3	28	.	.	PUNCT
t722h70625t	4	1	while	while	SCONJ
t722h70625t	4	2	these	these	DET
t722h70625t	4	3	methods	method	NOUN
t722h70625t	4	4	have	have	AUX
t722h70625t	4	5	been	be	AUX
t722h70625t	4	6	successfully	successfully	ADV
t722h70625t	4	7	used	use	VERB
t722h70625t	4	8	to	to	PART
t722h70625t	4	9	resolve	resolve	VERB
t722h70625t	4	10	features	feature	NOUN
t722h70625t	4	11	in	in	ADP
t722h70625t	4	12	second	second	ADJ
t722h70625t	4	13	order	order	NOUN
t722h70625t	4	14	pdes	pde	NOUN
t722h70625t	4	15	,	,	PUNCT
t722h70625t	4	16	they	they	PRON
t722h70625t	4	17	have	have	AUX
t722h70625t	4	18	not	not	PART
t722h70625t	4	19	been	be	AUX
t722h70625t	4	20	extended	extend	VERB
t722h70625t	4	21	to	to	ADP
t722h70625t	4	22	higher	high	ADJ
t722h70625t	4	23	order	order	NOUN
t722h70625t	4	24	systems	system	NOUN
t722h70625t	4	25	.	.	PUNCT
t722h70625t	5	1	this	this	DET
t722h70625t	5	2	thesis	thesis	NOUN
t722h70625t	5	3	provides	provide	VERB
t722h70625t	5	4	the	the	DET
t722h70625t	5	5	first	first	ADJ
t722h70625t	5	6	extension	extension	NOUN
t722h70625t	5	7	of	of	ADP
t722h70625t	5	8	moving	move	VERB
t722h70625t	5	9	mesh	mesh	NOUN
t722h70625t	5	10	methods	method	NOUN
t722h70625t	5	11	to	to	ADP
t722h70625t	5	12	higher	high	ADJ
t722h70625t	5	13	order	order	NOUN
t722h70625t	5	14	operators.the	operators.the	DET
t722h70625t	5	15	high	high	ADJ
t722h70625t	5	16	order	order	NOUN
t722h70625t	5	17	system	system	NOUN
t722h70625t	5	18	modeling	model	VERB
t722h70625t	5	19	a	a	DET
t722h70625t	5	20	capacitor	capacitor	NOUN
t722h70625t	5	21	structure	structure	NOUN
t722h70625t	5	22	is	be	AUX
t722h70625t	5	23	represented	represent	VERB
t722h70625t	5	24	by	by	ADP
t722h70625t	5	25	a	a	DET
t722h70625t	5	26	fourth	fourth	ADJ
t722h70625t	5	27	order	order	NOUN
t722h70625t	5	28	,	,	PUNCT
t722h70625t	5	29	semi	semi	ADJ
t722h70625t	5	30	-	-	ADJ
t722h70625t	5	31	linear	linear	ADJ
t722h70625t	5	32	pde	pde	NOUN
t722h70625t	5	33	and	and	CCONJ
t722h70625t	5	34	has	have	VERB
t722h70625t	5	35	two	two	NUM
t722h70625t	5	36	kinds	kind	NOUN
t722h70625t	5	37	of	of	ADP
t722h70625t	5	38	solution	solution	NOUN
t722h70625t	5	39	behavior	behavior	NOUN
t722h70625t	5	40	:	:	PUNCT
t722h70625t	5	41	finite	finite	ADJ
t722h70625t	5	42	time	time	NOUN
t722h70625t	5	43	singularity	singularity	NOUN
t722h70625t	5	44	and	and	CCONJ
t722h70625t	5	45	sharp	sharp	ADJ
t722h70625t	5	46	interface	interface	NOUN
t722h70625t	5	47	dynamics	dynamic	NOUN
t722h70625t	5	48	.	.	PUNCT
t722h70625t	6	1	for	for	ADP
t722h70625t	6	2	the	the	DET
t722h70625t	6	3	singularity	singularity	NOUN
t722h70625t	6	4	regime	regime	NOUN
t722h70625t	6	5	,	,	PUNCT
t722h70625t	6	6	we	we	PRON
t722h70625t	6	7	utilize	utilize	VERB
t722h70625t	6	8	two	two	NUM
t722h70625t	6	9	moving	move	VERB
t722h70625t	6	10	mesh	mesh	NOUN
t722h70625t	6	11	techniques	technique	NOUN
t722h70625t	6	12	,	,	PUNCT
t722h70625t	6	13	an	an	DET
t722h70625t	6	14	approach	approach	NOUN
t722h70625t	6	15	that	that	PRON
t722h70625t	6	16	satisfies	satisfy	VERB
t722h70625t	6	17	the	the	DET
t722h70625t	6	18	monge	monge	ADJ
t722h70625t	6	19	-	-	PUNCT
t722h70625t	6	20	ampére	ampére	ADJ
t722h70625t	6	21	equation	equation	NOUN
t722h70625t	6	22	and	and	CCONJ
t722h70625t	6	23	an	an	DET
t722h70625t	6	24	approach	approach	NOUN
t722h70625t	6	25	using	use	VERB
t722h70625t	6	26	a	a	DET
t722h70625t	6	27	moving	move	VERB
t722h70625t	6	28	mesh	mesh	NOUN
t722h70625t	6	29	partial	partial	ADJ
t722h70625t	6	30	differential	differential	ADJ
t722h70625t	6	31	equation	equation	NOUN
t722h70625t	6	32	(	(	PUNCT
t722h70625t	6	33	mmpde	mmpde	NOUN
t722h70625t	6	34	)	)	PUNCT
t722h70625t	6	35	.	.	PUNCT
t722h70625t	7	1	both	both	DET
t722h70625t	7	2	methods	method	NOUN
t722h70625t	7	3	are	be	AUX
t722h70625t	7	4	used	use	VERB
t722h70625t	7	5	to	to	PART
t722h70625t	7	6	validate	validate	VERB
t722h70625t	7	7	and	and	CCONJ
t722h70625t	7	8	contribute	contribute	VERB
t722h70625t	7	9	to	to	ADP
t722h70625t	7	10	asymptotic	asymptotic	ADJ
t722h70625t	7	11	theory	theory	NOUN
t722h70625t	7	12	that	that	PRON
t722h70625t	7	13	predicts	predict	VERB
t722h70625t	7	14	the	the	DET
t722h70625t	7	15	location	location	NOUN
t722h70625t	7	16	and	and	CCONJ
t722h70625t	7	17	multiplicities	multiplicity	NOUN
t722h70625t	7	18	of	of	ADP
t722h70625t	7	19	singularities	singularity	NOUN
t722h70625t	7	20	in	in	ADP
t722h70625t	7	21	the	the	DET
t722h70625t	7	22	capacitor	capacitor	NOUN
t722h70625t	7	23	.	.	PUNCT
t722h70625t	8	1	for	for	ADP
t722h70625t	8	2	interface	interface	NOUN
t722h70625t	8	3	resolution	resolution	NOUN
t722h70625t	8	4	,	,	PUNCT
t722h70625t	8	5	the	the	DET
t722h70625t	8	6	monge	monge	PROPN
t722h70625t	8	7	-	-	PUNCT
t722h70625t	8	8	ampére	ampére	ADJ
t722h70625t	8	9	equation	equation	NOUN
t722h70625t	8	10	is	be	AUX
t722h70625t	8	11	used	use	VERB
t722h70625t	8	12	to	to	PART
t722h70625t	8	13	generate	generate	VERB
t722h70625t	8	14	an	an	DET
t722h70625t	8	15	adaptive	adaptive	ADJ
t722h70625t	8	16	mesh	mesh	NOUN
t722h70625t	8	17	based	base	VERB
t722h70625t	8	18	on	on	ADP
t722h70625t	8	19	the	the	DET
t722h70625t	8	20	arc	arc	NOUN
t722h70625t	8	21	-	-	PUNCT
t722h70625t	8	22	length	length	NOUN
t722h70625t	8	23	or	or	CCONJ
t722h70625t	8	24	curvature	curvature	NOUN
t722h70625t	8	25	of	of	ADP
t722h70625t	8	26	the	the	DET
t722h70625t	8	27	solution	solution	NOUN
t722h70625t	8	28	to	to	ADP
t722h70625t	8	29	the	the	DET
t722h70625t	8	30	pde	pde	NOUN
t722h70625t	8	31	.	.	PUNCT
t722h70625t	9	1	the	the	DET
t722h70625t	9	2	methodology	methodology	NOUN
t722h70625t	9	3	is	be	AUX
t722h70625t	9	4	capable	capable	ADJ
t722h70625t	9	5	of	of	ADP
t722h70625t	9	6	handling	handle	VERB
t722h70625t	9	7	a	a	DET
t722h70625t	9	8	stiff	stiff	ADJ
t722h70625t	9	9	,	,	PUNCT
t722h70625t	9	10	fourth	fourth	ADJ
t722h70625t	9	11	order	order	NOUN
t722h70625t	9	12	moving	move	VERB
t722h70625t	9	13	interface	interface	NOUN
t722h70625t	9	14	problem	problem	NOUN
t722h70625t	9	15	with	with	ADP
t722h70625t	9	16	multiple	multiple	ADJ
t722h70625t	9	17	fine	fine	ADJ
t722h70625t	9	18	scale	scale	NOUN
t722h70625t	9	19	solution	solution	NOUN
t722h70625t	9	20	features	feature	NOUN
t722h70625t	9	21	.	.	PUNCT
t722h70625t	10	1	beyond	beyond	ADP
t722h70625t	10	2	the	the	DET
t722h70625t	10	3	contribution	contribution	NOUN
t722h70625t	10	4	of	of	ADP
t722h70625t	10	5	r	r	NOUN
t722h70625t	10	6	-	-	PUNCT
t722h70625t	10	7	adaptive	adaptive	ADJ
t722h70625t	10	8	moving	moving	NOUN
t722h70625t	10	9	mesh	mesh	NOUN
t722h70625t	10	10	methods	method	NOUN
t722h70625t	10	11	based	base	VERB
t722h70625t	10	12	on	on	ADP
t722h70625t	10	13	the	the	DET
t722h70625t	10	14	monge	monge	ADJ
t722h70625t	10	15	-	-	PUNCT
t722h70625t	10	16	ampére	ampére	ADJ
t722h70625t	10	17	equation	equation	NOUN
t722h70625t	10	18	for	for	ADP
t722h70625t	10	19	fourth	fourth	ADJ
t722h70625t	10	20	order	order	NOUN
t722h70625t	10	21	pdes	pde	NOUN
t722h70625t	10	22	posed	pose	VERB
t722h70625t	10	23	on	on	ADP
t722h70625t	10	24	rectangular	rectangular	ADJ
t722h70625t	10	25	domains	domain	NOUN
t722h70625t	10	26	,	,	PUNCT
t722h70625t	10	27	this	this	DET
t722h70625t	10	28	thesis	thesis	NOUN
t722h70625t	10	29	gives	give	VERB
t722h70625t	10	30	a	a	DET
t722h70625t	10	31	finite	finite	ADJ
t722h70625t	10	32	difference	difference	NOUN
t722h70625t	10	33	approximation	approximation	NOUN
t722h70625t	10	34	of	of	ADP
t722h70625t	10	35	the	the	DET
t722h70625t	10	36	monge	monge	NOUN
t722h70625t	10	37	-	-	PUNCT
t722h70625t	10	38	ampere	ampere	NOUN
t722h70625t	10	39	equation	equation	NOUN
t722h70625t	10	40	for	for	ADP
t722h70625t	10	41	mesh	mesh	NOUN
t722h70625t	10	42	generation	generation	NOUN
t722h70625t	10	43	and	and	CCONJ
t722h70625t	10	44	adaptation	adaptation	NOUN
t722h70625t	10	45	for	for	ADP
t722h70625t	10	46	solving	solve	VERB
t722h70625t	10	47	pdes	pde	NOUN
t722h70625t	10	48	on	on	ADP
t722h70625t	10	49	curved	curved	ADJ
t722h70625t	10	50	domains	domain	NOUN
t722h70625t	10	51	.	.	PUNCT
t722h70625t	11	1	we	we	PRON
t722h70625t	11	2	provide	provide	VERB
t722h70625t	11	3	a	a	DET
t722h70625t	11	4	boundary	boundary	ADJ
t722h70625t	11	5	mapping	mapping	NOUN
t722h70625t	11	6	between	between	ADP
t722h70625t	11	7	a	a	DET
t722h70625t	11	8	fixed	fix	VERB
t722h70625t	11	9	,	,	PUNCT
t722h70625t	11	10	uniform	uniform	ADJ
t722h70625t	11	11	rectangular	rectangular	ADJ
t722h70625t	11	12	domain	domain	NOUN
t722h70625t	11	13	to	to	ADP
t722h70625t	11	14	an	an	DET
t722h70625t	11	15	adaptive	adaptive	ADJ
t722h70625t	11	16	,	,	PUNCT
t722h70625t	11	17	curved	curved	ADJ
t722h70625t	11	18	physical	physical	ADJ
t722h70625t	11	19	domain	domain	NOUN
t722h70625t	11	20	that	that	PRON
t722h70625t	11	21	is	be	AUX
t722h70625t	11	22	applicable	applicable	ADJ
t722h70625t	11	23	to	to	ADP
t722h70625t	11	24	convex	convex	ADJ
t722h70625t	11	25	and	and	CCONJ
t722h70625t	11	26	select	select	VERB
t722h70625t	11	27	non	non	ADJ
t722h70625t	11	28	-	-	ADJ
t722h70625t	11	29	convex	convex	ADJ
t722h70625t	11	30	domains	domain	NOUN
t722h70625t	11	31	.	.	PUNCT
t722h70625t	12	1	we	we	PRON
t722h70625t	12	2	present	present	VERB
t722h70625t	12	3	an	an	DET
t722h70625t	12	4	approach	approach	NOUN
t722h70625t	12	5	for	for	ADP
t722h70625t	12	6	robustly	robustly	ADV
t722h70625t	12	7	applying	apply	VERB
t722h70625t	12	8	boundary	boundary	ADJ
t722h70625t	12	9	conditions	condition	NOUN
t722h70625t	12	10	for	for	ADP
t722h70625t	12	11	the	the	DET
t722h70625t	12	12	pde	pde	NOUN
t722h70625t	12	13	in	in	ADP
t722h70625t	12	14	computational	computational	ADJ
t722h70625t	12	15	space	space	NOUN
t722h70625t	12	16	.	.	PUNCT
t722h70625t	13	1	the	the	DET
t722h70625t	13	2	effectiveness	effectiveness	NOUN
t722h70625t	13	3	of	of	ADP
t722h70625t	13	4	the	the	DET
t722h70625t	13	5	method	method	NOUN
t722h70625t	13	6	is	be	AUX
t722h70625t	13	7	shown	show	VERB
t722h70625t	13	8	a	a	DET
t722h70625t	13	9	variety	variety	NOUN
t722h70625t	13	10	of	of	ADP
t722h70625t	13	11	linear	linear	ADJ
t722h70625t	13	12	and	and	CCONJ
t722h70625t	13	13	nonlinear	nonlinear	ADJ
t722h70625t	13	14	pdes	pde	NOUN
t722h70625t	13	15	,	,	PUNCT
t722h70625t	13	16	including	include	VERB
t722h70625t	13	17	moving	move	VERB
t722h70625t	13	18	boundary	boundary	ADJ
t722h70625t	13	19	problems	problem	NOUN
t722h70625t	13	20	,	,	PUNCT
t722h70625t	13	21	interface	interface	NOUN
t722h70625t	13	22	dynamics	dynamic	NOUN
t722h70625t	13	23	,	,	PUNCT
t722h70625t	13	24	and	and	CCONJ
t722h70625t	13	25	singularities	singularity	NOUN
t722h70625t	13	26	.	.	PUNCT