id	sid	tid	token	lemma	pos
ap-6065	1	1	acta	acta	PROPN
ap-6065	1	2	polytechnica	polytechnica	PROPN
ap-6065	1	3	https://doi.org/10.14311/ap.2021.61.0059	https://doi.org/10.14311/ap.2021.61.0059	PROPN
ap-6065	1	4	acta	acta	PROPN
ap-6065	1	5	polytechnica	polytechnica	PROPN
ap-6065	1	6	61(si):59–67	61(si):59–67	NUM
ap-6065	1	7	,	,	PUNCT
ap-6065	1	8	2021	2021	NUM
ap-6065	1	9	©	©	ADP
ap-6065	1	10	2021	2021	NUM
ap-6065	1	11	the	the	DET
ap-6065	1	12	author(s	author(s	NOUN
ap-6065	1	13	)	)	PUNCT
ap-6065	1	14	.	.	PUNCT
ap-6065	2	1	licensed	license	VERB
ap-6065	2	2	under	under	ADP
ap-6065	2	3	a	a	DET
ap-6065	2	4	cc	cc	NOUN
ap-6065	2	5	-	-	PUNCT
ap-6065	2	6	by	by	ADP
ap-6065	2	7	4.0	4.0	NUM
ap-6065	2	8	licence	licence	NOUN
ap-6065	2	9	published	publish	VERB
ap-6065	2	10	by	by	ADP
ap-6065	2	11	the	the	DET
ap-6065	2	12	czech	czech	PROPN
ap-6065	2	13	technical	technical	PROPN
ap-6065	2	14	university	university	PROPN
ap-6065	2	15	in	in	ADP
ap-6065	2	16	prague	prague	PROPN
ap-6065	2	17	numerical	numerical	PROPN
ap-6065	2	18	simulation	simulation	PROPN
ap-6065	2	19	of	of	ADP
ap-6065	2	20	a	a	DET
ap-6065	2	21	single	single	ADJ
ap-6065	2	22	ring	ring	NOUN
ap-6065	2	23	infiltration	infiltration	NOUN
ap-6065	2	24	experiment	experiment	NOUN
ap-6065	2	25	with	with	ADP
ap-6065	2	26	hp	hp	ADJ
ap-6065	2	27	-	-	ADJ
ap-6065	2	28	adaptive	adaptive	ADJ
ap-6065	2	29	space	space	NOUN
ap-6065	2	30	-	-	PUNCT
ap-6065	2	31	time	time	NOUN
ap-6065	2	32	discontinuous	discontinuous	ADJ
ap-6065	2	33	galerkin	galerkin	PROPN
ap-6065	2	34	method	method	NOUN
ap-6065	2	35	vít	vít	PROPN
ap-6065	2	36	dolejšíb	dolejšíb	NOUN
ap-6065	2	37	,	,	PUNCT
ap-6065	2	38	michal	michal	PROPN
ap-6065	2	39	kurážc	kurážc	PROPN
ap-6065	2	40	,	,	PUNCT
ap-6065	2	41	pavel	pavel	PROPN
ap-6065	2	42	solina,∗	solina,∗	PROPN
ap-6065	2	43	a	a	DET
ap-6065	2	44	university	university	NOUN
ap-6065	2	45	of	of	ADP
ap-6065	2	46	nevada	nevada	PROPN
ap-6065	2	47	,	,	PUNCT
ap-6065	2	48	college	college	NOUN
ap-6065	2	49	of	of	ADP
ap-6065	2	50	science	science	NOUN
ap-6065	2	51	,	,	PUNCT
ap-6065	2	52	department	department	NOUN
ap-6065	2	53	of	of	ADP
ap-6065	2	54	mathematics	mathematic	NOUN
ap-6065	2	55	and	and	CCONJ
ap-6065	2	56	statistics	statistic	NOUN
ap-6065	2	57	,	,	PUNCT
ap-6065	2	58	1664	1664	NUM
ap-6065	2	59	n	n	PRON
ap-6065	2	60	virginia	virginia	PROPN
ap-6065	2	61	st	st	PROPN
ap-6065	2	62	,	,	PUNCT
ap-6065	2	63	nv	nv	PROPN
ap-6065	2	64	89557	89557	NUM
ap-6065	2	65	reno	reno	PROPN
ap-6065	2	66	,	,	PUNCT
ap-6065	2	67	usa	usa	PROPN
ap-6065	2	68	b	b	PROPN
ap-6065	2	69	charles	charles	PROPN
ap-6065	2	70	university	university	PROPN
ap-6065	2	71	,	,	PUNCT
ap-6065	2	72	faculty	faculty	NOUN
ap-6065	2	73	of	of	ADP
ap-6065	2	74	mathematics	mathematic	NOUN
ap-6065	2	75	and	and	CCONJ
ap-6065	2	76	physics	physic	NOUN
ap-6065	2	77	,	,	PUNCT
ap-6065	2	78	sokolovská	sokolovská	NOUN
ap-6065	2	79	83	83	NUM
ap-6065	2	80	,	,	PUNCT
ap-6065	2	81	186	186	NUM
ap-6065	2	82	75	75	NUM
ap-6065	2	83	prague	prague	NOUN
ap-6065	2	84	,	,	PUNCT
ap-6065	2	85	czech	czech	PROPN
ap-6065	2	86	republic	republic	PROPN
ap-6065	2	87	c	c	PROPN
ap-6065	2	88	czech	czech	PROPN
ap-6065	2	89	university	university	PROPN
ap-6065	2	90	of	of	ADP
ap-6065	2	91	life	life	PROPN
ap-6065	2	92	sciences	sciences	PROPN
ap-6065	2	93	prague	prague	PROPN
ap-6065	2	94	,	,	PUNCT
ap-6065	2	95	faculty	faculty	NOUN
ap-6065	2	96	of	of	ADP
ap-6065	2	97	environmental	environmental	ADJ
ap-6065	2	98	sciences	sciences	PROPN
ap-6065	2	99	,	,	PUNCT
ap-6065	2	100	department	department	NOUN
ap-6065	2	101	of	of	ADP
ap-6065	2	102	water	water	NOUN
ap-6065	2	103	resources	resource	NOUN
ap-6065	2	104	and	and	CCONJ
ap-6065	2	105	environmental	environmental	ADJ
ap-6065	2	106	modeling	modeling	NOUN
ap-6065	2	107	,	,	PUNCT
ap-6065	2	108	kamýcká	kamýcká	PROPN
ap-6065	2	109	129	129	NUM
ap-6065	2	110	,	,	PUNCT
ap-6065	2	111	165	165	NUM
ap-6065	2	112	00	00	NUM
ap-6065	2	113	prague	prague	PROPN
ap-6065	2	114	,	,	PUNCT
ap-6065	2	115	czech	czech	PROPN
ap-6065	2	116	republic	republic	NOUN
ap-6065	2	117	∗	∗	NOUN
ap-6065	2	118	corresponding	correspond	VERB
ap-6065	2	119	author	author	NOUN
ap-6065	2	120	:	:	PUNCT
ap-6065	2	121	solin@unr.edu	solin@unr.edu	VERB
ap-6065	2	122	abstract	abstract	ADJ
ap-6065	2	123	.	.	PUNCT
ap-6065	3	1	we	we	PRON
ap-6065	3	2	present	present	VERB
ap-6065	3	3	a	a	DET
ap-6065	3	4	novel	novel	ADJ
ap-6065	3	5	hp	hp	ADJ
ap-6065	3	6	-	-	ADJ
ap-6065	3	7	adaptive	adaptive	ADJ
ap-6065	3	8	space	space	NOUN
ap-6065	3	9	-	-	PUNCT
ap-6065	3	10	time	time	NOUN
ap-6065	3	11	discontinuous	discontinuous	ADJ
ap-6065	3	12	galerkin	galerkin	NOUN
ap-6065	3	13	(	(	PUNCT
ap-6065	3	14	hp	hp	NOUN
ap-6065	3	15	-	-	PUNCT
ap-6065	3	16	stdg	stdg	NOUN
ap-6065	3	17	)	)	PUNCT
ap-6065	3	18	method	method	NOUN
ap-6065	3	19	for	for	ADP
ap-6065	3	20	the	the	DET
ap-6065	3	21	numerical	numerical	ADJ
ap-6065	3	22	solution	solution	NOUN
ap-6065	3	23	of	of	ADP
ap-6065	3	24	the	the	DET
ap-6065	3	25	nonstationary	nonstationary	ADJ
ap-6065	3	26	richards	richard	NOUN
ap-6065	3	27	equation	equation	NOUN
ap-6065	3	28	equipped	equip	VERB
ap-6065	3	29	with	with	ADP
ap-6065	3	30	dirichlet	dirichlet	PROPN
ap-6065	3	31	,	,	PUNCT
ap-6065	3	32	neumann	neumann	PROPN
ap-6065	3	33	and	and	CCONJ
ap-6065	3	34	seepage	seepage	NOUN
ap-6065	3	35	face	face	NOUN
ap-6065	3	36	boundary	boundary	ADJ
ap-6065	3	37	conditions	condition	NOUN
ap-6065	3	38	.	.	PUNCT
ap-6065	4	1	the	the	DET
ap-6065	4	2	hp	hp	PROPN
ap-6065	4	3	-	-	PUNCT
ap-6065	4	4	stdg	stdg	PROPN
ap-6065	4	5	method	method	NOUN
ap-6065	4	6	presented	present	VERB
ap-6065	4	7	in	in	ADP
ap-6065	4	8	this	this	DET
ap-6065	4	9	paper	paper	NOUN
ap-6065	4	10	is	be	AUX
ap-6065	4	11	a	a	DET
ap-6065	4	12	generalization	generalization	NOUN
ap-6065	4	13	of	of	ADP
ap-6065	4	14	a	a	DET
ap-6065	4	15	hp	hp	NOUN
ap-6065	4	16	-	-	PUNCT
ap-6065	4	17	stdg	stdg	ADJ
ap-6065	4	18	method	method	NOUN
ap-6065	4	19	which	which	PRON
ap-6065	4	20	was	be	AUX
ap-6065	4	21	developed	develop	VERB
ap-6065	4	22	for	for	ADP
ap-6065	4	23	time	time	NOUN
ap-6065	4	24	dependent	dependent	ADJ
ap-6065	4	25	non	non	ADJ
ap-6065	4	26	-	-	ADJ
ap-6065	4	27	linear	linear	ADJ
ap-6065	4	28	convective	convective	ADJ
ap-6065	4	29	-	-	PUNCT
ap-6065	4	30	diffusive	diffusive	ADJ
ap-6065	4	31	problems	problem	NOUN
ap-6065	4	32	.	.	PUNCT
ap-6065	5	1	we	we	PRON
ap-6065	5	2	describe	describe	VERB
ap-6065	5	3	the	the	DET
ap-6065	5	4	method	method	NOUN
ap-6065	5	5	and	and	CCONJ
ap-6065	5	6	the	the	DET
ap-6065	5	7	single	single	ADJ
ap-6065	5	8	ring	ring	NOUN
ap-6065	5	9	experiment	experiment	NOUN
ap-6065	5	10	,	,	PUNCT
ap-6065	5	11	and	and	CCONJ
ap-6065	5	12	then	then	ADV
ap-6065	5	13	we	we	PRON
ap-6065	5	14	present	present	VERB
ap-6065	5	15	a	a	DET
ap-6065	5	16	numerical	numerical	ADJ
ap-6065	5	17	experiment	experiment	NOUN
ap-6065	5	18	which	which	PRON
ap-6065	5	19	clearly	clearly	ADV
ap-6065	5	20	demonstrates	demonstrate	VERB
ap-6065	5	21	the	the	DET
ap-6065	5	22	superiority	superiority	NOUN
ap-6065	5	23	of	of	ADP
ap-6065	5	24	the	the	DET
ap-6065	5	25	hp	hp	NOUN
ap-6065	5	26	-	-	PUNCT
ap-6065	5	27	stdg	stdg	ADJ
ap-6065	5	28	method	method	NOUN
ap-6065	5	29	over	over	ADP
ap-6065	5	30	a	a	DET
ap-6065	5	31	discontinuous	discontinuous	ADJ
ap-6065	5	32	galerkin	galerkin	NOUN
ap-6065	5	33	method	method	NOUN
ap-6065	5	34	based	base	VERB
ap-6065	5	35	on	on	ADP
ap-6065	5	36	a	a	DET
ap-6065	5	37	static	static	ADJ
ap-6065	5	38	fine	fine	ADJ
ap-6065	5	39	mesh	mesh	NOUN
ap-6065	5	40	.	.	PUNCT
ap-6065	6	1	keywords	keyword	NOUN
ap-6065	6	2	:	:	PUNCT
ap-6065	6	3	richards	richard	NOUN
ap-6065	6	4	equation	equation	NOUN
ap-6065	6	5	,	,	PUNCT
ap-6065	6	6	porous	porous	ADJ
ap-6065	6	7	media	medium	NOUN
ap-6065	6	8	flow	flow	NOUN
ap-6065	6	9	,	,	PUNCT
ap-6065	6	10	space	space	NOUN
ap-6065	6	11	-	-	PUNCT
ap-6065	6	12	time	time	NOUN
ap-6065	6	13	discontinuous	discontinuous	ADJ
ap-6065	6	14	galerkin	galerkin	ADJ
ap-6065	6	15	method	method	NOUN
ap-6065	6	16	.	.	PUNCT
ap-6065	7	1	1	1	X
ap-6065	7	2	.	.	X
ap-6065	7	3	introduction	introduction	NOUN
ap-6065	7	4	the	the	DET
ap-6065	7	5	single	single	ADJ
ap-6065	7	6	ring	ring	NOUN
ap-6065	7	7	(	(	PUNCT
ap-6065	7	8	hereafter	hereafter	NOUN
ap-6065	7	9	sr	sr	PROPN
ap-6065	7	10	)	)	PUNCT
ap-6065	7	11	infiltration	infiltration	NOUN
ap-6065	7	12	experiment	experiment	NOUN
ap-6065	7	13	is	be	AUX
ap-6065	7	14	a	a	DET
ap-6065	7	15	standard	standard	ADJ
ap-6065	7	16	and	and	CCONJ
ap-6065	7	17	robust	robust	ADJ
ap-6065	7	18	dynamic	dynamic	ADJ
ap-6065	7	19	field	field	NOUN
ap-6065	7	20	experiment	experiment	NOUN
ap-6065	7	21	.	.	PUNCT
ap-6065	8	1	the	the	DET
ap-6065	8	2	steady	steady	ADJ
ap-6065	8	3	part	part	NOUN
ap-6065	8	4	of	of	ADP
ap-6065	8	5	this	this	DET
ap-6065	8	6	experiment	experiment	NOUN
ap-6065	8	7	is	be	AUX
ap-6065	8	8	traditionally	traditionally	ADV
ap-6065	8	9	used	use	VERB
ap-6065	8	10	for	for	ADP
ap-6065	8	11	the	the	DET
ap-6065	8	12	identification	identification	NOUN
ap-6065	8	13	of	of	ADP
ap-6065	8	14	saturated	saturate	VERB
ap-6065	8	15	hydraulic	hydraulic	ADJ
ap-6065	8	16	conductivity	conductivity	NOUN
ap-6065	8	17	.	.	PUNCT
ap-6065	9	1	more	more	ADV
ap-6065	9	2	recently	recently	ADV
ap-6065	9	3	,	,	PUNCT
ap-6065	9	4	the	the	DET
ap-6065	9	5	unsteady	unsteady	ADJ
ap-6065	9	6	part	part	NOUN
ap-6065	9	7	of	of	ADP
ap-6065	9	8	this	this	DET
ap-6065	9	9	experiment	experiment	NOUN
ap-6065	9	10	was	be	AUX
ap-6065	9	11	used	use	VERB
ap-6065	9	12	to	to	PART
ap-6065	9	13	analyze	analyze	VERB
ap-6065	9	14	various	various	ADJ
ap-6065	9	15	hydraulic	hydraulic	ADJ
ap-6065	9	16	properties	property	NOUN
ap-6065	9	17	of	of	ADP
ap-6065	9	18	soils	soil	NOUN
ap-6065	9	19	such	such	ADJ
ap-6065	9	20	as	as	ADP
ap-6065	9	21	van	van	PROPN
ap-6065	9	22	genuchten	genuchten	NOUN
ap-6065	9	23	’s	’s	PART
ap-6065	9	24	α	α	PROPN
ap-6065	9	25	(	(	PUNCT
ap-6065	9	26	see	see	VERB
ap-6065	9	27	,	,	PUNCT
ap-6065	9	28	for	for	ADP
ap-6065	9	29	example	example	NOUN
ap-6065	9	30	,	,	PUNCT
ap-6065	9	31	[	[	X
ap-6065	9	32	1	1	X
ap-6065	9	33	]	]	PUNCT
ap-6065	9	34	and	and	CCONJ
ap-6065	9	35	[	[	X
ap-6065	9	36	2	2	NUM
ap-6065	9	37	]	]	NUM
ap-6065	9	38	)	)	PUNCT
ap-6065	9	39	.	.	PUNCT
ap-6065	10	1	the	the	DET
ap-6065	10	2	sr	sr	PROPN
ap-6065	10	3	experiment	experiment	NOUN
ap-6065	10	4	can	can	AUX
ap-6065	10	5	be	be	AUX
ap-6065	10	6	mathematically	mathematically	ADV
ap-6065	10	7	described	describe	VERB
ap-6065	10	8	by	by	ADP
ap-6065	10	9	the	the	DET
ap-6065	10	10	richards	richard	NOUN
ap-6065	10	11	equation	equation	NOUN
ap-6065	10	12	[	[	X
ap-6065	10	13	3	3	NUM
ap-6065	10	14	]	]	PUNCT
ap-6065	10	15	,	,	PUNCT
ap-6065	10	16	which	which	PRON
ap-6065	10	17	is	be	AUX
ap-6065	10	18	a	a	DET
ap-6065	10	19	governing	govern	VERB
ap-6065	10	20	equation	equation	NOUN
ap-6065	10	21	for	for	ADP
ap-6065	10	22	many	many	ADJ
ap-6065	10	23	different	different	ADJ
ap-6065	10	24	applications	application	NOUN
ap-6065	10	25	ranging	range	VERB
ap-6065	10	26	from	from	ADP
ap-6065	10	27	hydrology	hydrology	NOUN
ap-6065	10	28	,	,	PUNCT
ap-6065	10	29	soil	soil	NOUN
ap-6065	10	30	and	and	CCONJ
ap-6065	10	31	snow	snow	NOUN
ap-6065	10	32	physics	physics	NOUN
ap-6065	11	1	[	[	X
ap-6065	11	2	4–6	4–6	X
ap-6065	11	3	]	]	X
ap-6065	11	4	,	,	PUNCT
ap-6065	11	5	contaminant	contaminant	ADJ
ap-6065	11	6	transport	transport	NOUN
ap-6065	11	7	simulations	simulation	NOUN
ap-6065	11	8	[	[	X
ap-6065	11	9	7	7	NUM
ap-6065	11	10	]	]	PUNCT
ap-6065	11	11	,	,	PUNCT
ap-6065	11	12	etc	etc	X
ap-6065	11	13	.	.	X
ap-6065	12	1	the	the	DET
ap-6065	12	2	richards	richard	NOUN
ap-6065	12	3	equation	equation	NOUN
ap-6065	12	4	belongs	belong	VERB
ap-6065	12	5	to	to	ADP
ap-6065	12	6	the	the	DET
ap-6065	12	7	class	class	NOUN
ap-6065	12	8	of	of	ADP
ap-6065	12	9	quasilinear	quasilinear	NOUN
ap-6065	12	10	degenerate	degenerate	ADJ
ap-6065	12	11	parabolic	parabolic	ADJ
ap-6065	12	12	equations	equation	NOUN
ap-6065	12	13	since	since	SCONJ
ap-6065	12	14	the	the	DET
ap-6065	12	15	space	space	NOUN
ap-6065	12	16	and	and	CCONJ
ap-6065	12	17	time	time	NOUN
ap-6065	12	18	derivative	derivative	ADJ
ap-6065	12	19	terms	term	NOUN
ap-6065	12	20	can	can	AUX
ap-6065	12	21	vanish	vanish	VERB
ap-6065	12	22	or	or	CCONJ
ap-6065	12	23	blow	blow	VERB
ap-6065	12	24	up	up	ADP
ap-6065	12	25	.	.	PUNCT
ap-6065	13	1	the	the	DET
ap-6065	13	2	analytical	analytical	ADJ
ap-6065	13	3	results	result	NOUN
ap-6065	13	4	concerning	concern	VERB
ap-6065	13	5	the	the	DET
ap-6065	13	6	existence	existence	NOUN
ap-6065	13	7	and	and	CCONJ
ap-6065	13	8	uniqueness	uniqueness	NOUN
ap-6065	13	9	were	be	AUX
ap-6065	13	10	published	publish	VERB
ap-6065	13	11	,	,	PUNCT
ap-6065	13	12	e.g.	e.g.	ADV
ap-6065	13	13	,	,	PUNCT
ap-6065	13	14	in	in	ADP
ap-6065	13	15	[	[	X
ap-6065	13	16	8–10	8–10	NOUN
ap-6065	13	17	]	]	PUNCT
ap-6065	13	18	.	.	PUNCT
ap-6065	14	1	first	first	ADJ
ap-6065	14	2	attempts	attempt	NOUN
ap-6065	14	3	of	of	ADP
ap-6065	14	4	solving	solve	VERB
ap-6065	14	5	the	the	DET
ap-6065	14	6	richards	richard	NOUN
ap-6065	14	7	equation	equation	NOUN
ap-6065	14	8	numerically	numerically	ADV
ap-6065	14	9	date	date	VERB
ap-6065	14	10	back	back	ADV
ap-6065	14	11	to	to	ADP
ap-6065	14	12	[	[	X
ap-6065	14	13	11	11	NUM
ap-6065	14	14	]	]	PUNCT
ap-6065	14	15	in	in	ADP
ap-6065	14	16	the	the	DET
ap-6065	14	17	1970s	1970	NOUN
ap-6065	14	18	.	.	PUNCT
ap-6065	15	1	various	various	ADJ
ap-6065	15	2	methods	method	NOUN
ap-6065	15	3	for	for	ADP
ap-6065	15	4	the	the	DET
ap-6065	15	5	numerical	numerical	ADJ
ap-6065	15	6	solution	solution	NOUN
ap-6065	15	7	of	of	ADP
ap-6065	15	8	the	the	DET
ap-6065	15	9	richards	richard	NOUN
ap-6065	15	10	equation	equation	NOUN
ap-6065	15	11	have	have	AUX
ap-6065	15	12	been	be	AUX
ap-6065	15	13	studied	study	VERB
ap-6065	15	14	and	and	CCONJ
ap-6065	15	15	improved	improve	VERB
ap-6065	15	16	in	in	ADP
ap-6065	15	17	the	the	DET
ap-6065	15	18	last	last	ADJ
ap-6065	15	19	decades	decade	NOUN
ap-6065	15	20	[	[	X
ap-6065	15	21	12–20	12–20	NUM
ap-6065	15	22	]	]	PUNCT
ap-6065	15	23	.	.	PUNCT
ap-6065	16	1	there	there	PRON
ap-6065	16	2	are	be	VERB
ap-6065	16	3	two	two	NUM
ap-6065	16	4	main	main	ADJ
ap-6065	16	5	reasons	reason	NOUN
ap-6065	16	6	why	why	SCONJ
ap-6065	16	7	hp	hp	ADJ
ap-6065	16	8	-	-	ADJ
ap-6065	16	9	adaptive	adaptive	ADJ
ap-6065	16	10	discontinuous	discontinuous	ADJ
ap-6065	16	11	galerkin	galerkin	ADJ
ap-6065	16	12	methods	method	NOUN
ap-6065	16	13	are	be	AUX
ap-6065	16	14	naturally	naturally	ADV
ap-6065	16	15	suitable	suitable	ADJ
ap-6065	16	16	for	for	ADP
ap-6065	16	17	the	the	DET
ap-6065	16	18	numerical	numerical	PROPN
ap-6065	16	19	simulation	simulation	NOUN
ap-6065	16	20	of	of	ADP
ap-6065	16	21	the	the	DET
ap-6065	16	22	sr	sr	PROPN
ap-6065	16	23	experiment	experiment	NOUN
ap-6065	16	24	:	:	PUNCT
ap-6065	16	25	(	(	PUNCT
ap-6065	16	26	1	1	NUM
ap-6065	16	27	.	.	PUNCT
ap-6065	16	28	)	)	PUNCT
ap-6065	17	1	the	the	DET
ap-6065	17	2	flow	flow	NOUN
ap-6065	17	3	pattern	pattern	NOUN
ap-6065	17	4	is	be	AUX
ap-6065	17	5	typically	typically	ADV
ap-6065	17	6	formed	form	VERB
ap-6065	17	7	out	out	ADP
ap-6065	17	8	of	of	ADP
ap-6065	17	9	a	a	DET
ap-6065	17	10	moving	move	VERB
ap-6065	17	11	wetting	wet	VERB
ap-6065	17	12	front	front	NOUN
ap-6065	17	13	.	.	PUNCT
ap-6065	18	1	this	this	DET
ap-6065	18	2	wetting	wet	VERB
ap-6065	18	3	front	front	NOUN
ap-6065	18	4	is	be	AUX
ap-6065	18	5	the	the	DET
ap-6065	18	6	source	source	NOUN
ap-6065	18	7	of	of	ADP
ap-6065	18	8	considerable	considerable	ADJ
ap-6065	18	9	computational	computational	ADJ
ap-6065	18	10	difficulties	difficulty	NOUN
ap-6065	18	11	due	due	ADJ
ap-6065	18	12	to	to	ADP
ap-6065	18	13	steep	steep	ADJ
ap-6065	18	14	gradients	gradient	NOUN
ap-6065	18	15	in	in	ADP
ap-6065	18	16	the	the	DET
ap-6065	18	17	solution	solution	NOUN
ap-6065	18	18	and	and	CCONJ
ap-6065	18	19	abrupt	abrupt	ADJ
ap-6065	18	20	changes	change	NOUN
ap-6065	18	21	in	in	ADP
ap-6065	18	22	nonlinear	nonlinear	ADJ
ap-6065	18	23	functions	function	NOUN
ap-6065	18	24	.	.	PUNCT
ap-6065	19	1	(	(	PUNCT
ap-6065	19	2	2	2	NUM
ap-6065	19	3	.	.	PUNCT
ap-6065	19	4	)	)	PUNCT
ap-6065	20	1	the	the	DET
ap-6065	20	2	flow	flow	NOUN
ap-6065	20	3	domain	domain	NOUN
ap-6065	20	4	is	be	AUX
ap-6065	20	5	effectively	effectively	ADV
ap-6065	20	6	discontinuous	discontinuous	ADJ
ap-6065	20	7	,	,	PUNCT
ap-6065	20	8	since	since	SCONJ
ap-6065	20	9	the	the	DET
ap-6065	20	10	thickness	thickness	NOUN
ap-6065	20	11	of	of	ADP
ap-6065	20	12	the	the	DET
ap-6065	20	13	steel	steel	NOUN
ap-6065	20	14	ring	ring	NOUN
ap-6065	20	15	(	(	PUNCT
ap-6065	20	16	≈	≈	PROPN
ap-6065	20	17	1	1	NUM
ap-6065	20	18	mm	mm	NOUN
ap-6065	20	19	)	)	PUNCT
ap-6065	20	20	is	be	AUX
ap-6065	20	21	negligible	negligible	ADJ
ap-6065	20	22	compared	compare	VERB
ap-6065	20	23	to	to	ADP
ap-6065	20	24	the	the	DET
ap-6065	20	25	scale	scale	NOUN
ap-6065	20	26	of	of	ADP
ap-6065	20	27	the	the	DET
ap-6065	20	28	flow	flow	NOUN
ap-6065	20	29	pattern	pattern	NOUN
ap-6065	20	30	,	,	PUNCT
ap-6065	20	31	as	as	SCONJ
ap-6065	20	32	shown	show	VERB
ap-6065	20	33	in	in	ADP
ap-6065	20	34	fig	fig	NOUN
ap-6065	20	35	.	.	PUNCT
ap-6065	21	1	1	1	X
ap-6065	21	2	.	.	X
ap-6065	21	3	in	in	ADP
ap-6065	21	4	this	this	DET
ap-6065	21	5	paper	paper	NOUN
ap-6065	21	6	we	we	PRON
ap-6065	21	7	use	use	VERB
ap-6065	21	8	the	the	DET
ap-6065	21	9	discontinuous	discontinuous	ADJ
ap-6065	21	10	galerkin	galerkin	NOUN
ap-6065	21	11	(	(	PUNCT
ap-6065	21	12	dg	dg	NOUN
ap-6065	21	13	)	)	PUNCT
ap-6065	21	14	method	method	NOUN
ap-6065	21	15	to	to	PART
ap-6065	21	16	solve	solve	VERB
ap-6065	21	17	the	the	DET
ap-6065	21	18	nonstationary	nonstationary	ADJ
ap-6065	21	19	richards	richard	NOUN
ap-6065	21	20	equation	equation	NOUN
ap-6065	21	21	describing	describe	VERB
ap-6065	21	22	the	the	DET
ap-6065	21	23	sr	sr	PROPN
ap-6065	21	24	experiment	experiment	NOUN
ap-6065	21	25	.	.	PUNCT
ap-6065	22	1	the	the	DET
ap-6065	22	2	richards	richard	NOUN
ap-6065	22	3	equation	equation	NOUN
ap-6065	22	4	is	be	AUX
ap-6065	22	5	equipped	equip	VERB
ap-6065	22	6	with	with	ADP
ap-6065	22	7	both	both	CCONJ
ap-6065	22	8	dirichlet	dirichlet	PROPN
ap-6065	22	9	and	and	CCONJ
ap-6065	22	10	neumann	neumann	PROPN
ap-6065	22	11	boundary	boundary	ADJ
ap-6065	22	12	conditions	condition	NOUN
ap-6065	22	13	(	(	PUNCT
ap-6065	22	14	bcs	bcs	NOUN
ap-6065	22	15	)	)	PUNCT
ap-6065	22	16	,	,	PUNCT
ap-6065	22	17	as	as	ADV
ap-6065	22	18	well	well	ADV
ap-6065	22	19	as	as	ADP
ap-6065	22	20	with	with	ADP
ap-6065	22	21	a	a	DET
ap-6065	22	22	seepage	seepage	NOUN
ap-6065	22	23	face	face	NOUN
ap-6065	22	24	boundary	boundary	ADJ
ap-6065	22	25	condition	condition	NOUN
ap-6065	22	26	(	(	PUNCT
ap-6065	22	27	bc	bc	PROPN
ap-6065	22	28	)	)	PUNCT
ap-6065	22	29	.	.	PUNCT
ap-6065	23	1	we	we	PRON
ap-6065	23	2	combine	combine	VERB
ap-6065	23	3	the	the	DET
ap-6065	23	4	dg	dg	PROPN
ap-6065	23	5	method	method	NOUN
ap-6065	23	6	with	with	ADP
ap-6065	23	7	an	an	DET
ap-6065	23	8	anisotropic	anisotropic	NOUN
ap-6065	23	9	mesh	mesh	NOUN
ap-6065	23	10	adaptation	adaptation	NOUN
ap-6065	23	11	algorithm	algorithm	NOUN
ap-6065	23	12	and	and	CCONJ
ap-6065	23	13	present	present	VERB
ap-6065	23	14	a	a	DET
ap-6065	23	15	simulation	simulation	NOUN
ap-6065	23	16	of	of	ADP
ap-6065	23	17	the	the	DET
ap-6065	23	18	sr	sr	PROPN
ap-6065	23	19	experiment	experiment	NOUN
ap-6065	23	20	which	which	PRON
ap-6065	23	21	demonstrates	demonstrate	VERB
ap-6065	23	22	the	the	DET
ap-6065	23	23	full	full	ADJ
ap-6065	23	24	potential	potential	NOUN
ap-6065	23	25	of	of	ADP
ap-6065	23	26	the	the	DET
ap-6065	23	27	proposed	propose	VERB
ap-6065	23	28	numerical	numerical	ADJ
ap-6065	23	29	treatment	treatment	NOUN
ap-6065	23	30	for	for	ADP
ap-6065	23	31	this	this	DET
ap-6065	23	32	class	class	NOUN
ap-6065	23	33	of	of	ADP
ap-6065	23	34	problems	problem	NOUN
ap-6065	23	35	.	.	PUNCT
ap-6065	24	1	2	2	X
ap-6065	24	2	.	.	X
ap-6065	24	3	governing	govern	VERB
ap-6065	24	4	equations	equation	NOUN
ap-6065	24	5	we	we	PRON
ap-6065	24	6	will	will	AUX
ap-6065	24	7	model	model	VERB
ap-6065	24	8	the	the	DET
ap-6065	24	9	single	single	ADJ
ap-6065	24	10	ring	ring	NOUN
ap-6065	24	11	infiltration	infiltration	NOUN
ap-6065	24	12	experiment	experiment	NOUN
ap-6065	24	13	using	use	VERB
ap-6065	24	14	the	the	DET
ap-6065	24	15	nonstationary	nonstationary	ADJ
ap-6065	24	16	planar	planar	ADJ
ap-6065	24	17	richards	richard	NOUN
ap-6065	24	18	equation	equation	NOUN
ap-6065	24	19	in	in	ADP
ap-6065	24	20	the	the	DET
ap-6065	24	21	form	form	NOUN
ap-6065	24	22	c(ψ)∂ψ	c(ψ)∂ψ	PUNCT
ap-6065	24	23	∂t	∂t	PROPN
ap-6065	24	24	−∇	−∇	NOUN
ap-6065	24	25	·	·	PUNCT
ap-6065	24	26	(	(	PUNCT
ap-6065	24	27	k(ψ)∇ψ	k(ψ)∇ψ	PROPN
ap-6065	24	28	)	)	PUNCT
ap-6065	24	29	=	=	SYM
ap-6065	24	30	0	0	NUM
ap-6065	24	31	,	,	PUNCT
ap-6065	24	32	(	(	PUNCT
ap-6065	24	33	2.1	2.1	NUM
ap-6065	24	34	)	)	PUNCT
ap-6065	24	35	where	where	SCONJ
ap-6065	24	36	ψ	ψ	ADP
ap-6065	24	37	denotes	denote	VERB
ap-6065	24	38	the	the	DET
ap-6065	24	39	pressure	pressure	NOUN
ap-6065	24	40	head	head	NOUN
ap-6065	25	1	[	[	X
ap-6065	25	2	l	l	X
ap-6065	25	3	]	]	X
ap-6065	25	4	and	and	CCONJ
ap-6065	25	5	ψ	ψ	NOUN
ap-6065	25	6	is	be	AUX
ap-6065	25	7	the	the	DET
ap-6065	25	8	hydraulic	hydraulic	ADJ
ap-6065	25	9	head	head	NOUN
ap-6065	26	1	[	[	X
ap-6065	26	2	l	l	X
ap-6065	26	3	]	]	X
ap-6065	26	4	.	.	PUNCT
ap-6065	27	1	they	they	PRON
ap-6065	27	2	are	be	AUX
ap-6065	27	3	connected	connect	VERB
ap-6065	27	4	by	by	ADP
ap-6065	27	5	the	the	DET
ap-6065	27	6	simple	simple	ADJ
ap-6065	27	7	relation	relation	NOUN
ap-6065	27	8	ψ	ψ	NOUN
ap-6065	27	9	=	=	SYM
ap-6065	27	10	ψ	ψ	PROPN
ap-6065	27	11	+	+	PROPN
ap-6065	27	12	z	z	PROPN
ap-6065	27	13	,	,	PUNCT
ap-6065	27	14	(	(	PUNCT
ap-6065	27	15	2.2	2.2	NUM
ap-6065	27	16	)	)	PUNCT
ap-6065	27	17	where	where	SCONJ
ap-6065	27	18	z	z	NOUN
ap-6065	27	19	is	be	AUX
ap-6065	27	20	the	the	DET
ap-6065	27	21	vertical	vertical	ADJ
ap-6065	27	22	distance	distance	NOUN
ap-6065	27	23	from	from	ADP
ap-6065	27	24	the	the	DET
ap-6065	27	25	reference	reference	NOUN
ap-6065	27	26	level	level	NOUN
ap-6065	27	27	(	(	PUNCT
ap-6065	27	28	the	the	DET
ap-6065	27	29	geodetic	geodetic	ADJ
ap-6065	27	30	head	head	NOUN
ap-6065	27	31	[	[	X
ap-6065	27	32	l	l	X
ap-6065	27	33	]	]	X
ap-6065	27	34	)	)	PUNCT
ap-6065	27	35	.	.	PUNCT
ap-6065	28	1	moreover	moreover	ADV
ap-6065	28	2	,	,	PUNCT
ap-6065	28	3	the	the	DET
ap-6065	28	4	tensor	tensor	NOUN
ap-6065	28	5	function	function	NOUN
ap-6065	28	6	k(ψ	k(ψ	PROPN
ap-6065	28	7	)	)	PUNCT
ap-6065	28	8	is	be	AUX
ap-6065	28	9	the	the	DET
ap-6065	28	10	unsaturated	unsaturated	ADJ
ap-6065	28	11	hydraulic	hydraulic	ADJ
ap-6065	28	12	conductivity	conductivity	NOUN
ap-6065	28	13	[	[	X
ap-6065	28	14	l.t−1	l.t−1	X
ap-6065	28	15	]	]	X
ap-6065	28	16	,	,	PUNCT
ap-6065	28	17	and	and	CCONJ
ap-6065	28	18	it	it	PRON
ap-6065	28	19	is	be	AUX
ap-6065	28	20	defined	define	VERB
ap-6065	28	21	as	as	ADP
ap-6065	28	22	the	the	DET
ap-6065	28	23	product	product	NOUN
ap-6065	28	24	59	59	NUM
ap-6065	28	25	https://doi.org/10.14311/ap.2021.61.0059	https://doi.org/10.14311/ap.2021.61.0059	NOUN
ap-6065	28	26	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-6065	28	27	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-6065	28	28	v.	v.	CCONJ
ap-6065	28	29	dolejší	dolejší	PROPN
ap-6065	28	30	,	,	PUNCT
ap-6065	28	31	m.	m.	NOUN
ap-6065	28	32	kuráž	kuráž	PROPN
ap-6065	28	33	,	,	PUNCT
ap-6065	28	34	p.	p.	PROPN
ap-6065	28	35	solin	solin	PROPN
ap-6065	28	36	acta	acta	PROPN
ap-6065	28	37	polytechnica	polytechnica	PROPN
ap-6065	28	38	figure	figure	NOUN
ap-6065	28	39	1	1	NUM
ap-6065	28	40	.	.	PUNCT
ap-6065	29	1	scheme	scheme	NOUN
ap-6065	29	2	of	of	ADP
ap-6065	29	3	the	the	DET
ap-6065	29	4	single	single	ADJ
ap-6065	29	5	ring	ring	NOUN
ap-6065	29	6	infiltration	infiltration	NOUN
ap-6065	29	7	experiment	experiment	NOUN
ap-6065	29	8	.	.	PUNCT
ap-6065	30	1	of	of	ADP
ap-6065	30	2	the	the	DET
ap-6065	30	3	the	the	DET
ap-6065	30	4	relative	relative	ADJ
ap-6065	30	5	hydraulic	hydraulic	ADJ
ap-6065	30	6	conductivity	conductivity	NOUN
ap-6065	30	7	kr(ψ	kr(ψ	PROPN
ap-6065	30	8	)	)	PUNCT
ap-6065	31	1	[	[	X
ap-6065	31	2	-	-	X
ap-6065	31	3	]	]	X
ap-6065	31	4	and	and	CCONJ
ap-6065	31	5	the	the	DET
ap-6065	31	6	(	(	PUNCT
ap-6065	31	7	tensor	tensor	NOUN
ap-6065	31	8	value	value	NOUN
ap-6065	31	9	)	)	PUNCT
ap-6065	31	10	saturated	saturate	VERB
ap-6065	31	11	hydraulic	hydraulic	ADJ
ap-6065	31	12	conductivity	conductivity	NOUN
ap-6065	31	13	ks	ks	NOUN
ap-6065	31	14	[	[	X
ap-6065	31	15	l.t−1	l.t−1	X
ap-6065	31	16	]	]	X
ap-6065	31	17	,	,	PUNCT
ap-6065	31	18	k(ψ	k(ψ	PROPN
ap-6065	31	19	)	)	PUNCT
ap-6065	31	20	=	=	SYM
ap-6065	31	21	kr(ψ)ks	kr(ψ)ks	NOUN
ap-6065	31	22	.	.	PUNCT
ap-6065	32	1	(	(	PUNCT
ap-6065	32	2	2.3	2.3	NUM
ap-6065	32	3	)	)	PUNCT
ap-6065	32	4	furthermore	furthermore	ADV
ap-6065	32	5	,	,	PUNCT
ap-6065	32	6	the	the	DET
ap-6065	32	7	scalar	scalar	ADJ
ap-6065	32	8	function	function	NOUN
ap-6065	32	9	c(ψ	c(ψ	PROPN
ap-6065	32	10	)	)	PUNCT
ap-6065	32	11	denotes	denote	VERB
ap-6065	32	12	the	the	DET
ap-6065	32	13	water	water	NOUN
ap-6065	32	14	retention	retention	NOUN
ap-6065	32	15	capacity	capacity	NOUN
ap-6065	33	1	[	[	X
ap-6065	33	2	l−1	l−1	NOUN
ap-6065	33	3	]	]	PUNCT
ap-6065	33	4	,	,	PUNCT
ap-6065	33	5	expressed	express	VERB
ap-6065	33	6	in	in	ADP
ap-6065	33	7	the	the	DET
ap-6065	33	8	form	form	NOUN
ap-6065	33	9	c(ψ	c(ψ	NOUN
ap-6065	33	10	)	)	PUNCT
ap-6065	33	11	=	=	SYM
ap-6065	33	12	dθ(ψ	dθ(ψ	X
ap-6065	33	13	)	)	PUNCT
ap-6065	33	14	dψ	dψ	NOUN
ap-6065	33	15	+	+	CCONJ
ap-6065	33	16	θ(ψ	θ(ψ	X
ap-6065	33	17	)	)	PUNCT
ap-6065	33	18	θs	θs	PRON
ap-6065	33	19	ss	ss	PROPN
ap-6065	33	20	,	,	PUNCT
ap-6065	33	21	(	(	PUNCT
ap-6065	33	22	2.4	2.4	NUM
ap-6065	33	23	)	)	PUNCT
ap-6065	33	24	where	where	SCONJ
ap-6065	33	25	the	the	DET
ap-6065	33	26	symbol	symbol	NOUN
ap-6065	33	27	θ(ψ	θ(ψ	PROPN
ap-6065	33	28	)	)	PUNCT
ap-6065	33	29	denotes	denote	VERB
ap-6065	33	30	the	the	DET
ap-6065	33	31	water	water	NOUN
ap-6065	33	32	content	content	NOUN
ap-6065	33	33	function	function	VERB
ap-6065	33	34	[	[	X
ap-6065	33	35	-	-	X
ap-6065	33	36	]	]	X
ap-6065	33	37	,	,	PUNCT
ap-6065	33	38	and	and	CCONJ
ap-6065	33	39	θs	θs	PRON
ap-6065	33	40	is	be	AUX
ap-6065	33	41	the	the	DET
ap-6065	33	42	limited	limit	VERB
ap-6065	33	43	saturated	saturate	VERB
ap-6065	33	44	water	water	NOUN
ap-6065	33	45	content	content	NOUN
ap-6065	33	46	[	[	X
ap-6065	33	47	-	-	PUNCT
ap-6065	33	48	]	]	X
ap-6065	33	49	and	and	CCONJ
ap-6065	33	50	ss	ss	PROPN
ap-6065	33	51	is	be	AUX
ap-6065	33	52	the	the	DET
ap-6065	33	53	specific	specific	ADJ
ap-6065	33	54	storativity	storativity	NOUN
ap-6065	33	55	(	(	PUNCT
ap-6065	33	56	aquifer	aquifer	NOUN
ap-6065	33	57	storage	storage	NOUN
ap-6065	33	58	)	)	PUNCT
ap-6065	34	1	[	[	X
ap-6065	34	2	l−1	l−1	PROPN
ap-6065	34	3	]	]	PUNCT
ap-6065	34	4	.	.	PUNCT
ap-6065	35	1	the	the	DET
ap-6065	35	2	function	function	NOUN
ap-6065	35	3	θ(ψ	θ(ψ	PROPN
ap-6065	35	4	)	)	PUNCT
ap-6065	35	5	is	be	AUX
ap-6065	35	6	given	give	VERB
ap-6065	35	7	by	by	ADP
ap-6065	35	8	the	the	DET
ap-6065	35	9	van	van	PROPN
ap-6065	35	10	genuchten	genuchten	NOUN
ap-6065	35	11	’s	’s	PART
ap-6065	35	12	law	law	NOUN
ap-6065	36	1	[	[	X
ap-6065	36	2	21	21	NUM
ap-6065	36	3	]	]	X
ap-6065	36	4	,	,	PUNCT
ap-6065	36	5	which	which	PRON
ap-6065	36	6	can	can	AUX
ap-6065	36	7	be	be	AUX
ap-6065	36	8	written	write	VERB
ap-6065	36	9	in	in	ADP
ap-6065	36	10	the	the	DET
ap-6065	36	11	form	form	NOUN
ap-6065	36	12	θ(ψ	θ(ψ	X
ap-6065	36	13	)	)	PUNCT
ap-6065	37	1	=	=	PUNCT
ap-6065	38	1			PRON
ap-6065	38	2	θs	θs	X
ap-6065	38	3	−	−	NOUN
ap-6065	39	1	θr	θr	NOUN
ap-6065	39	2	(	(	PUNCT
ap-6065	39	3	1	1	NUM
ap-6065	39	4	+	+	CCONJ
ap-6065	39	5	(	(	PUNCT
ap-6065	39	6	−αψ)n)m	−αψ)n)m	NOUN
ap-6065	39	7	+	+	CCONJ
ap-6065	39	8	θr	θr	NOUN
ap-6065	39	9	,	,	PUNCT
ap-6065	39	10	for	for	ADP
ap-6065	39	11	ψ	ψ	X
ap-6065	39	12	<	<	X
ap-6065	39	13	0	0	NUM
ap-6065	39	14	,	,	PUNCT
ap-6065	39	15	θs	θs	PRON
ap-6065	39	16	for	for	ADP
ap-6065	39	17	ψ	ψ	X
ap-6065	39	18	≥	≥	NOUN
ap-6065	39	19	0	0	NUM
ap-6065	39	20	,	,	PUNCT
ap-6065	39	21	(	(	PUNCT
ap-6065	39	22	2.5	2.5	NUM
ap-6065	39	23	)	)	PUNCT
ap-6065	39	24	where	where	SCONJ
ap-6065	39	25	θr[-	θr[-	PROPN
ap-6065	39	26	]	]	PUNCT
ap-6065	39	27	is	be	AUX
ap-6065	39	28	the	the	DET
ap-6065	39	29	residual	residual	ADJ
ap-6065	39	30	water	water	NOUN
ap-6065	39	31	content	content	NOUN
ap-6065	39	32	,	,	PUNCT
ap-6065	39	33	θs[-	θs[-	PROPN
ap-6065	39	34	]	]	PUNCT
ap-6065	39	35	is	be	AUX
ap-6065	39	36	the	the	DET
ap-6065	39	37	saturated	saturate	VERB
ap-6065	39	38	water	water	NOUN
ap-6065	39	39	content	content	NOUN
ap-6065	39	40	,	,	PUNCT
ap-6065	39	41	n	n	CCONJ
ap-6065	39	42	[	[	X
ap-6065	39	43	-	-	X
ap-6065	39	44	]	]	X
ap-6065	39	45	and	and	CCONJ
ap-6065	39	46	m	m	PROPN
ap-6065	39	47	[	[	X
ap-6065	39	48	-	-	X
ap-6065	39	49	]	]	X
ap-6065	39	50	are	be	AUX
ap-6065	39	51	pore	pore	ADJ
ap-6065	39	52	size	size	NOUN
ap-6065	39	53	distribution	distribution	NOUN
ap-6065	39	54	parameters	parameter	NOUN
ap-6065	39	55	,	,	PUNCT
ap-6065	39	56	and	and	CCONJ
ap-6065	39	57	α	α	X
ap-6065	40	1	[	[	X
ap-6065	40	2	l−1	l−1	NOUN
ap-6065	40	3	]	]	PUNCT
ap-6065	40	4	is	be	AUX
ap-6065	40	5	given	give	VERB
ap-6065	40	6	as	as	ADP
ap-6065	40	7	the	the	DET
ap-6065	40	8	inverse	inverse	NOUN
ap-6065	40	9	of	of	ADP
ap-6065	40	10	the	the	DET
ap-6065	40	11	air	air	NOUN
ap-6065	40	12	entry	entry	NOUN
ap-6065	40	13	value	value	NOUN
ap-6065	40	14	.	.	PUNCT
ap-6065	41	1	the	the	DET
ap-6065	41	2	relative	relative	ADJ
ap-6065	41	3	conductivity	conductivity	NOUN
ap-6065	41	4	kr(ψ	kr(ψ	PROPN
ap-6065	41	5	)	)	PUNCT
ap-6065	41	6	appearing	appear	VERB
ap-6065	41	7	in	in	ADP
ap-6065	41	8	(	(	PUNCT
ap-6065	41	9	2.3	2.3	NUM
ap-6065	41	10	)	)	PUNCT
ap-6065	41	11	is	be	AUX
ap-6065	41	12	given	give	VERB
ap-6065	41	13	by	by	ADP
ap-6065	41	14	the	the	DET
ap-6065	41	15	mualem	mualem	NOUN
ap-6065	41	16	function	function	VERB
ap-6065	42	1	[	[	X
ap-6065	42	2	22	22	NUM
ap-6065	42	3	]	]	PUNCT
ap-6065	42	4	which	which	PRON
ap-6065	42	5	in	in	ADP
ap-6065	42	6	combination	combination	NOUN
ap-6065	42	7	with	with	ADP
ap-6065	42	8	(	(	PUNCT
ap-6065	42	9	2.5	2.5	NUM
ap-6065	42	10	)	)	PUNCT
ap-6065	42	11	reads	read	VERB
ap-6065	42	12	kr(ψ	kr(ψ	PROPN
ap-6065	42	13	)	)	PUNCT
ap-6065	42	14	=	=	PRON
ap-6065	42	15	{	{	PUNCT
ap-6065	42	16	(	(	PUNCT
ap-6065	42	17	1−(−αψ)m	1−(−αψ)m	NUM
ap-6065	42	18	n(1+(−αψ)n)−m)2	n(1+(−αψ)n)−m)2	NUM
ap-6065	42	19	(	(	PUNCT
ap-6065	42	20	1+(−αψ)n)m/2	1+(−αψ)n)m/2	X
ap-6065	42	21	for	for	ADP
ap-6065	42	22	ψ	ψ	X
ap-6065	42	23	<	<	X
ap-6065	42	24	0	0	NUM
ap-6065	42	25	,	,	PUNCT
ap-6065	42	26	1	1	NUM
ap-6065	42	27	for	for	ADP
ap-6065	42	28	ψ	ψ	X
ap-6065	42	29	≥	≥	NOUN
ap-6065	42	30	0	0	NUM
ap-6065	42	31	,	,	PUNCT
ap-6065	42	32	(	(	PUNCT
ap-6065	42	33	2.6	2.6	NUM
ap-6065	42	34	)	)	PUNCT
ap-6065	42	35	in	in	ADP
ap-6065	42	36	order	order	NOUN
ap-6065	42	37	to	to	PART
ap-6065	42	38	close	close	VERB
ap-6065	42	39	the	the	DET
ap-6065	42	40	richard	richard	NOUN
ap-6065	42	41	’s	’s	PART
ap-6065	42	42	equation	equation	NOUN
ap-6065	42	43	(	(	PUNCT
ap-6065	42	44	2.1	2.1	NUM
ap-6065	42	45	)	)	PUNCT
ap-6065	42	46	we	we	PRON
ap-6065	42	47	add	add	VERB
ap-6065	42	48	the	the	DET
ap-6065	42	49	usual	usual	ADJ
ap-6065	42	50	dirichlet	dirichlet	NOUN
ap-6065	42	51	and	and	CCONJ
ap-6065	42	52	neumann	neumann	PROPN
ap-6065	42	53	bcs	bcs	PROPN
ap-6065	42	54	.	.	PUNCT
ap-6065	43	1	moreover	moreover	ADV
ap-6065	43	2	,	,	PUNCT
ap-6065	43	3	in	in	ADP
ap-6065	43	4	order	order	NOUN
ap-6065	43	5	to	to	PART
ap-6065	43	6	simulate	simulate	VERB
ap-6065	43	7	the	the	DET
ap-6065	43	8	seepage	seepage	NOUN
ap-6065	43	9	of	of	ADP
ap-6065	43	10	the	the	DET
ap-6065	43	11	fluid	fluid	NOUN
ap-6065	43	12	from	from	ADP
ap-6065	43	13	the	the	DET
ap-6065	43	14	medium	medium	NOUN
ap-6065	43	15	through	through	ADP
ap-6065	43	16	its	its	PRON
ap-6065	43	17	boundary	boundary	NOUN
ap-6065	43	18	,	,	PUNCT
ap-6065	43	19	we	we	PRON
ap-6065	43	20	consider	consider	VERB
ap-6065	43	21	also	also	ADV
ap-6065	43	22	the	the	DET
ap-6065	43	23	seepage	seepage	NOUN
ap-6065	43	24	face	face	NOUN
ap-6065	43	25	boundary	boundary	ADJ
ap-6065	43	26	condition	condition	NOUN
ap-6065	43	27	which	which	PRON
ap-6065	43	28	reads	read	VERB
ap-6065	43	29	ψ	ψ	X
ap-6065	43	30	:	:	PUNCT
ap-6065	43	31	=	=	PUNCT
ap-6065	43	32	ψ−	ψ−	PROPN
ap-6065	43	33	z	z	NOUN
ap-6065	43	34	≤	≤	NUM
ap-6065	43	35	0	0	NUM
ap-6065	43	36	,	,	PUNCT
ap-6065	43	37	−k(ψ−	−k(ψ−	ADV
ap-6065	43	38	z)∇ψ	z)∇ψ	NOUN
ap-6065	43	39	·	·	PUNCT
ap-6065	43	40	n	n	CCONJ
ap-6065	43	41	≥	≥	NOUN
ap-6065	43	42	0	0	NUM
ap-6065	43	43	,	,	PUNCT
ap-6065	43	44	(	(	PUNCT
ap-6065	43	45	2.7	2.7	NUM
ap-6065	43	46	)	)	PUNCT
ap-6065	43	47	ψ(∇ψ	ψ(∇ψ	NUM
ap-6065	43	48	·	·	PUNCT
ap-6065	43	49	n	n	CCONJ
ap-6065	43	50	)	)	PUNCT
ap-6065	43	51	=	=	SYM
ap-6065	44	1	0	0	X
ap-6065	44	2	.	.	PUNCT
ap-6065	45	1	the	the	DET
ap-6065	45	2	first	first	ADJ
ap-6065	45	3	condition	condition	NOUN
ap-6065	45	4	in	in	ADP
ap-6065	45	5	(	(	PUNCT
ap-6065	45	6	2.7	2.7	NUM
ap-6065	45	7	)	)	PUNCT
ap-6065	45	8	means	mean	VERB
ap-6065	45	9	that	that	SCONJ
ap-6065	45	10	the	the	DET
ap-6065	45	11	pressure	pressure	NOUN
ap-6065	45	12	head	head	NOUN
ap-6065	45	13	ψ	ψ	NOUN
ap-6065	45	14	must	must	AUX
ap-6065	45	15	be	be	AUX
ap-6065	45	16	non	non	ADJ
ap-6065	45	17	-	-	ADJ
ap-6065	45	18	positive	positive	ADJ
ap-6065	45	19	and	and	CCONJ
ap-6065	45	20	the	the	DET
ap-6065	45	21	second	second	ADJ
ap-6065	45	22	one	one	NUM
ap-6065	45	23	means	mean	VERB
ap-6065	45	24	that	that	SCONJ
ap-6065	45	25	the	the	DET
ap-6065	45	26	fluid	fluid	NOUN
ap-6065	45	27	can	can	AUX
ap-6065	45	28	not	not	PART
ap-6065	45	29	flow	flow	VERB
ap-6065	45	30	into	into	ADP
ap-6065	45	31	the	the	DET
ap-6065	45	32	medium	medium	NOUN
ap-6065	45	33	because	because	SCONJ
ap-6065	45	34	there	there	PRON
ap-6065	45	35	is	be	VERB
ap-6065	45	36	no	no	DET
ap-6065	45	37	fluid	fluid	NOUN
ap-6065	45	38	outside	outside	ADP
ap-6065	45	39	the	the	DET
ap-6065	45	40	medium	medium	NOUN
ap-6065	45	41	.	.	PUNCT
ap-6065	46	1	finally	finally	ADV
ap-6065	46	2	,	,	PUNCT
ap-6065	46	3	the	the	DET
ap-6065	46	4	last	last	ADJ
ap-6065	46	5	relation	relation	NOUN
ap-6065	46	6	in	in	ADP
ap-6065	46	7	(	(	PUNCT
ap-6065	46	8	2.7	2.7	NUM
ap-6065	46	9	)	)	PUNCT
ap-6065	46	10	gives	give	VERB
ap-6065	46	11	that	that	SCONJ
ap-6065	46	12	the	the	DET
ap-6065	46	13	fluid	fluid	NOUN
ap-6065	46	14	leaves	leave	VERB
ap-6065	46	15	the	the	DET
ap-6065	46	16	medium	medium	NOUN
ap-6065	46	17	if	if	SCONJ
ap-6065	46	18	and	and	CCONJ
ap-6065	46	19	only	only	ADV
ap-6065	46	20	if	if	SCONJ
ap-6065	46	21	the	the	DET
ap-6065	46	22	medium	medium	NOUN
ap-6065	46	23	becomes	becomes	AUX
ap-6065	46	24	saturated	saturated	ADJ
ap-6065	46	25	(	(	PUNCT
ap-6065	46	26	ψ	ψ	NOUN
ap-6065	46	27	=	=	NOUN
ap-6065	46	28	0	0	NUM
ap-6065	46	29	)	)	PUNCT
ap-6065	46	30	.	.	PUNCT
ap-6065	47	1	for	for	ADP
ap-6065	47	2	the	the	DET
ap-6065	47	3	purpose	purpose	NOUN
ap-6065	47	4	of	of	ADP
ap-6065	47	5	numerical	numerical	ADJ
ap-6065	47	6	implementation	implementation	NOUN
ap-6065	47	7	we	we	PRON
ap-6065	47	8	have	have	VERB
ap-6065	47	9	to	to	PART
ap-6065	47	10	reformulate	reformulate	VERB
ap-6065	47	11	(	(	PUNCT
ap-6065	47	12	2.7	2.7	NUM
ap-6065	47	13	)	)	PUNCT
ap-6065	47	14	.	.	PUNCT
ap-6065	48	1	according	accord	VERB
ap-6065	48	2	to	to	ADP
ap-6065	48	3	[	[	X
ap-6065	48	4	23	23	NUM
ap-6065	48	5	]	]	PUNCT
ap-6065	48	6	,	,	PUNCT
ap-6065	48	7	we	we	PRON
ap-6065	48	8	treat	treat	VERB
ap-6065	48	9	the	the	DET
ap-6065	48	10	seepage	seepage	NOUN
ap-6065	48	11	bc	bc	PROPN
ap-6065	48	12	as	as	ADP
ap-6065	48	13	a	a	DET
ap-6065	48	14	signorini	signorini	NOUN
ap-6065	48	15	condition	condition	NOUN
ap-6065	48	16	.	.	PUNCT
ap-6065	49	1	this	this	PRON
ap-6065	49	2	means	mean	VERB
ap-6065	49	3	that	that	SCONJ
ap-6065	49	4	if	if	SCONJ
ap-6065	49	5	the	the	DET
ap-6065	49	6	medium	medium	NOUN
ap-6065	49	7	on	on	ADP
ap-6065	49	8	the	the	DET
ap-6065	49	9	boundary	boundary	NOUN
ap-6065	49	10	is	be	AUX
ap-6065	49	11	unsaturated	unsaturate	VERB
ap-6065	49	12	(	(	PUNCT
ap-6065	49	13	ψ	ψ	X
ap-6065	49	14	<	<	X
ap-6065	49	15	0	0	NUM
ap-6065	49	16	)	)	PUNCT
ap-6065	49	17	then	then	ADV
ap-6065	49	18	this	this	DET
ap-6065	49	19	boundary	boundary	ADJ
ap-6065	49	20	behaves	behave	VERB
ap-6065	49	21	as	as	ADP
ap-6065	49	22	a	a	DET
ap-6065	49	23	no	no	DET
ap-6065	49	24	-	-	PUNCT
ap-6065	49	25	flow	flow	NOUN
ap-6065	49	26	(	(	PUNCT
ap-6065	49	27	homogeneous	homogeneous	ADJ
ap-6065	49	28	neumann	neumann	PROPN
ap-6065	49	29	)	)	PUNCT
ap-6065	49	30	boundary	boundary	NOUN
ap-6065	49	31	.	.	PUNCT
ap-6065	50	1	on	on	ADP
ap-6065	50	2	the	the	DET
ap-6065	50	3	other	other	ADJ
ap-6065	50	4	hand	hand	NOUN
ap-6065	50	5	,	,	PUNCT
ap-6065	50	6	if	if	SCONJ
ap-6065	50	7	the	the	DET
ap-6065	50	8	medium	medium	NOUN
ap-6065	50	9	on	on	ADP
ap-6065	50	10	the	the	DET
ap-6065	50	11	boundary	boundary	NOUN
ap-6065	50	12	is	be	AUX
ap-6065	50	13	saturated	saturate	VERB
ap-6065	50	14	then	then	ADV
ap-6065	50	15	the	the	DET
ap-6065	50	16	boundary	boundary	ADJ
ap-6065	50	17	changes	change	NOUN
ap-6065	50	18	into	into	ADP
ap-6065	50	19	a	a	DET
ap-6065	50	20	dirichlet	dirichlet	NOUN
ap-6065	50	21	one	one	NOUN
ap-6065	50	22	with	with	ADP
ap-6065	50	23	a	a	DET
ap-6065	50	24	zero	zero	NUM
ap-6065	50	25	pressure	pressure	NOUN
ap-6065	50	26	head	head	NOUN
ap-6065	50	27	.	.	PUNCT
ap-6065	51	1	these	these	DET
ap-6065	51	2	conditions	condition	NOUN
ap-6065	51	3	can	can	AUX
ap-6065	51	4	be	be	AUX
ap-6065	51	5	then	then	ADV
ap-6065	51	6	written	write	VERB
ap-6065	51	7	as	as	ADP
ap-6065	51	8	∇ψ	∇ψ	PROPN
ap-6065	51	9	·	·	PUNCT
ap-6065	51	10	n	n	PROPN
ap-6065	51	11	=	=	SYM
ap-6065	51	12	0	0	NUM
ap-6065	51	13	,	,	PUNCT
ap-6065	51	14	if	if	SCONJ
ap-6065	51	15	ψ	ψ	ADP
ap-6065	51	16	<	<	X
ap-6065	51	17	0	0	NUM
ap-6065	51	18	,	,	PUNCT
ap-6065	51	19	(	(	PUNCT
ap-6065	51	20	2.8a	2.8a	NOUN
ap-6065	51	21	)	)	PUNCT
ap-6065	51	22	ψ	ψ	NOUN
ap-6065	51	23	=	=	SYM
ap-6065	51	24	0	0	NUM
ap-6065	51	25	,	,	PUNCT
ap-6065	51	26	if	if	SCONJ
ap-6065	51	27	∇ψ	∇ψ	PROPN
ap-6065	51	28	·	·	PUNCT
ap-6065	51	29	n	n	CCONJ
ap-6065	51	30	<	<	X
ap-6065	51	31	0	0	NUM
ap-6065	51	32	.	.	PUNCT
ap-6065	52	1	(	(	PUNCT
ap-6065	52	2	2.8b	2.8b	NOUN
ap-6065	52	3	)	)	PUNCT
ap-6065	52	4	2.1	2.1	NUM
ap-6065	52	5	.	.	PUNCT
ap-6065	53	1	initial	initial	ADJ
ap-6065	53	2	boundary	boundary	ADJ
ap-6065	53	3	value	value	NOUN
ap-6065	53	4	problem	problem	NOUN
ap-6065	53	5	in	in	ADP
ap-6065	53	6	order	order	NOUN
ap-6065	53	7	to	to	PART
ap-6065	53	8	formulate	formulate	VERB
ap-6065	53	9	(	(	PUNCT
ap-6065	53	10	2.1	2.1	NUM
ap-6065	53	11	)	)	PUNCT
ap-6065	53	12	in	in	ADP
ap-6065	53	13	a	a	DET
ap-6065	53	14	form	form	NOUN
ap-6065	53	15	more	more	ADV
ap-6065	53	16	suitable	suitable	ADJ
ap-6065	53	17	for	for	ADP
ap-6065	53	18	numerical	numerical	ADJ
ap-6065	53	19	discretization	discretization	NOUN
ap-6065	53	20	,	,	PUNCT
ap-6065	53	21	and	and	CCONJ
ap-6065	53	22	taking	take	VERB
ap-6065	53	23	into	into	ADP
ap-6065	53	24	account	account	NOUN
ap-6065	53	25	(	(	PUNCT
ap-6065	53	26	2.2	2.2	NUM
ap-6065	53	27	)	)	PUNCT
ap-6065	53	28	,	,	PUNCT
ap-6065	53	29	we	we	PRON
ap-6065	53	30	write	write	VERB
ap-6065	53	31	the	the	DET
ap-6065	53	32	first	first	ADJ
ap-6065	53	33	term	term	NOUN
ap-6065	53	34	in	in	ADP
ap-6065	53	35	(	(	PUNCT
ap-6065	53	36	2.1	2.1	NUM
ap-6065	53	37	)	)	PUNCT
ap-6065	53	38	as	as	ADP
ap-6065	53	39	c(ψ)∂ψ	c(ψ)∂ψ	ADJ
ap-6065	53	40	∂t	∂t	PROPN
ap-6065	53	41	=	=	SYM
ap-6065	53	42	c(ψ−	c(ψ−	PROPN
ap-6065	53	43	z)∂ψ	z)∂ψ	PROPN
ap-6065	53	44	∂t	∂t	PROPN
ap-6065	54	1	=	=	SYM
ap-6065	54	2	c(ψ−	c(ψ−	PROPN
ap-6065	54	3	z)∂(ψ−	z)∂(ψ−	PROPN
ap-6065	54	4	z	z	PROPN
ap-6065	54	5	)	)	PUNCT
ap-6065	54	6	∂t	∂t	PROPN
ap-6065	54	7	=	=	PUNCT
ap-6065	54	8	∂ϑ(ψ−	∂ϑ(ψ−	PROPN
ap-6065	54	9	z	z	NOUN
ap-6065	54	10	)	)	PUNCT
ap-6065	54	11	∂t	∂t	PROPN
ap-6065	54	12	=	=	SYM
ap-6065	54	13	∂ϑ(ψ	∂ϑ(ψ	PROPN
ap-6065	54	14	)	)	PUNCT
ap-6065	55	1	∂t	∂t	PROPN
ap-6065	55	2	.	.	PUNCT
ap-6065	56	1	(	(	PUNCT
ap-6065	56	2	2.9	2.9	NUM
ap-6065	56	3	)	)	PUNCT
ap-6065	56	4	here	here	ADV
ap-6065	56	5	,	,	PUNCT
ap-6065	56	6	in	in	ADP
ap-6065	56	7	virtue	virtue	NOUN
ap-6065	56	8	of	of	ADP
ap-6065	56	9	(	(	PUNCT
ap-6065	56	10	2.4	2.4	NUM
ap-6065	56	11	)	)	PUNCT
ap-6065	56	12	,	,	PUNCT
ap-6065	56	13	we	we	PRON
ap-6065	56	14	define	define	VERB
ap-6065	56	15	the	the	DET
ap-6065	56	16	quantity	quantity	NOUN
ap-6065	56	17	ϑ(ψ	ϑ(ψ	NOUN
ap-6065	56	18	)	)	PUNCT
ap-6065	56	19	:	:	PUNCT
ap-6065	57	1	=	=	PUNCT
ap-6065	57	2	θ(ψ	θ(ψ	X
ap-6065	57	3	)	)	PUNCT
ap-6065	58	1	+	+	CCONJ
ap-6065	58	2	ss	ss	NOUN
ap-6065	58	3	θs	θs	NUM
ap-6065	58	4	∫	∫	PROPN
ap-6065	58	5	ψ	ψ	PROPN
ap-6065	58	6	−∞	−∞	ADP
ap-6065	58	7	θ(s)ds	θ(s)d	NOUN
ap-6065	58	8	(	(	PUNCT
ap-6065	58	9	2.10	2.10	NUM
ap-6065	58	10	)	)	PUNCT
ap-6065	58	11	which	which	PRON
ap-6065	58	12	represents	represent	VERB
ap-6065	58	13	the	the	DET
ap-6065	58	14	active	active	ADJ
ap-6065	58	15	pore	pore	ADJ
ap-6065	58	16	volume	volume	NOUN
ap-6065	58	17	affected	affect	VERB
ap-6065	58	18	by	by	ADP
ap-6065	58	19	the	the	DET
ap-6065	58	20	changing	change	VERB
ap-6065	58	21	pressure	pressure	NOUN
ap-6065	58	22	(	(	PUNCT
ap-6065	58	23	hydrostatic	hydrostatic	ADJ
ap-6065	58	24	and	and	CCONJ
ap-6065	58	25	capillary	capillary	ADJ
ap-6065	58	26	)	)	PUNCT
ap-6065	58	27	.	.	PUNCT
ap-6065	59	1	for	for	ADP
ap-6065	59	2	vanishing	vanish	VERB
ap-6065	59	3	specific	specific	ADJ
ap-6065	59	4	storage	storage	NOUN
ap-6065	59	5	ss	ss	PROPN
ap-6065	59	6	,	,	PUNCT
ap-6065	59	7	the	the	DET
ap-6065	59	8	active	active	ADJ
ap-6065	59	9	pore	pore	ADJ
ap-6065	59	10	volume	volume	NOUN
ap-6065	59	11	ϑ(ψ	ϑ(ψ	NOUN
ap-6065	59	12	)	)	PUNCT
ap-6065	59	13	coincides	coincide	VERB
ap-6065	59	14	with	with	ADP
ap-6065	59	15	the	the	DET
ap-6065	59	16	water	water	NOUN
ap-6065	59	17	content	content	NOUN
ap-6065	59	18	θ(ψ	θ(ψ	PROPN
ap-6065	59	19	)	)	PUNCT
ap-6065	59	20	.	.	PUNCT
ap-6065	60	1	now	now	ADV
ap-6065	60	2	we	we	PRON
ap-6065	60	3	are	be	AUX
ap-6065	60	4	ready	ready	ADJ
ap-6065	60	5	to	to	PART
ap-6065	60	6	formulate	formulate	VERB
ap-6065	60	7	the	the	DET
ap-6065	60	8	initial	initial	ADJ
ap-6065	60	9	boundary	boundary	ADJ
ap-6065	60	10	value	value	NOUN
ap-6065	60	11	problem	problem	NOUN
ap-6065	60	12	.	.	PUNCT
ap-6065	61	1	the	the	DET
ap-6065	61	2	porous	porous	ADJ
ap-6065	61	3	medium	medium	ADJ
ap-6065	61	4	occupies	occupie	NOUN
ap-6065	61	5	a	a	DET
ap-6065	61	6	domain	domain	NOUN
ap-6065	61	7	ω	ω	PRON
ap-6065	61	8	⊂	⊂	PROPN
ap-6065	61	9	r2	r2	PROPN
ap-6065	61	10	.	.	PUNCT
ap-6065	62	1	if	if	SCONJ
ap-6065	62	2	x	x	SYM
ap-6065	62	3	∈	∈	PROPN
ap-6065	62	4	ω	ω	NOUN
ap-6065	62	5	then	then	ADV
ap-6065	62	6	we	we	PRON
ap-6065	62	7	write	write	VERB
ap-6065	62	8	either	either	CCONJ
ap-6065	62	9	x	x	PUNCT
ap-6065	62	10	=	=	PRON
ap-6065	62	11	(	(	PUNCT
ap-6065	62	12	x1	x1	PROPN
ap-6065	62	13	,	,	PUNCT
ap-6065	62	14	x2	x2	PROPN
ap-6065	62	15	)	)	PUNCT
ap-6065	62	16	or	or	CCONJ
ap-6065	62	17	x	x	X
ap-6065	62	18	=	=	SYM
ap-6065	62	19	(	(	PUNCT
ap-6065	62	20	x1	x1	PROPN
ap-6065	62	21	,	,	PUNCT
ap-6065	62	22	z	z	NOUN
ap-6065	62	23	)	)	PUNCT
ap-6065	62	24	.	.	PUNCT
ap-6065	63	1	furthermore	furthermore	ADV
ap-6065	63	2	,	,	PUNCT
ap-6065	63	3	the	the	DET
ap-6065	63	4	symbol	symbol	NOUN
ap-6065	63	5	γ	γ	PROPN
ap-6065	63	6	denotes	denote	VERB
ap-6065	63	7	the	the	DET
ap-6065	63	8	boundary	boundary	NOUN
ap-6065	63	9	of	of	ADP
ap-6065	63	10	ω	ω	PROPN
ap-6065	63	11	,	,	PUNCT
ap-6065	63	12	t	t	PROPN
ap-6065	63	13	>	>	X
ap-6065	63	14	0	0	PUNCT
ap-6065	63	15	is	be	AUX
ap-6065	63	16	the	the	DET
ap-6065	63	17	final	final	ADJ
ap-6065	63	18	physical	physical	ADJ
ap-6065	63	19	time	time	NOUN
ap-6065	63	20	of	of	ADP
ap-6065	63	21	our	our	PRON
ap-6065	63	22	interest	interest	NOUN
ap-6065	63	23	and	and	CCONJ
ap-6065	63	24	we	we	PRON
ap-6065	63	25	put	put	VERB
ap-6065	63	26	i	i	PRON
ap-6065	63	27	:	:	PUNCT
ap-6065	63	28	=	=	SYM
ap-6065	63	29	(	(	PUNCT
ap-6065	63	30	0	0	NUM
ap-6065	63	31	,	,	PUNCT
ap-6065	63	32	t	t	NOUN
ap-6065	63	33	)	)	PUNCT
ap-6065	63	34	.	.	PUNCT
ap-6065	64	1	moreover	moreover	ADV
ap-6065	64	2	,	,	PUNCT
ap-6065	64	3	symbols	symbol	NOUN
ap-6065	64	4	60	60	NUM
ap-6065	64	5	vol	vol	NOUN
ap-6065	64	6	.	.	PUNCT
ap-6065	65	1	61	61	NUM
ap-6065	65	2	special	special	ADJ
ap-6065	65	3	issue/2021	issue/2021	NOUN
ap-6065	65	4	numerical	numerical	PROPN
ap-6065	65	5	simulation	simulation	PROPN
ap-6065	65	6	of	of	ADP
ap-6065	65	7	a	a	DET
ap-6065	65	8	single	single	ADJ
ap-6065	65	9	ring	ring	NOUN
ap-6065	65	10	infiltration	infiltration	NOUN
ap-6065	65	11	experiment	experiment	NOUN
ap-6065	65	12	γd	γd	ADP
ap-6065	65	13	,	,	PUNCT
ap-6065	65	14	γn	γn	NOUN
ap-6065	65	15	and	and	CCONJ
ap-6065	65	16	γe	γe	INTJ
ap-6065	65	17	,	,	PUNCT
ap-6065	65	18	respectively	respectively	ADV
ap-6065	65	19	,	,	PUNCT
ap-6065	65	20	denotes	denote	VERB
ap-6065	65	21	the	the	DET
ap-6065	65	22	corresponding	correspond	VERB
ap-6065	65	23	parts	part	NOUN
ap-6065	65	24	of	of	ADP
ap-6065	65	25	γ	γ	PROPN
ap-6065	65	26	,	,	PUNCT
ap-6065	65	27	where	where	SCONJ
ap-6065	65	28	the	the	DET
ap-6065	65	29	dirichlet	dirichlet	PROPN
ap-6065	65	30	,	,	PUNCT
ap-6065	65	31	neumann	neumann	PROPN
ap-6065	65	32	and	and	CCONJ
ap-6065	65	33	seepage	seepage	NOUN
ap-6065	65	34	face	face	NOUN
ap-6065	65	35	bcs	bc	NOUN
ap-6065	65	36	are	be	AUX
ap-6065	65	37	prescribed	prescribe	VERB
ap-6065	65	38	,	,	PUNCT
ap-6065	65	39	respectively	respectively	ADV
ap-6065	65	40	.	.	PUNCT
ap-6065	66	1	obviously	obviously	ADV
ap-6065	66	2	,	,	PUNCT
ap-6065	66	3	these	these	DET
ap-6065	66	4	parts	part	NOUN
ap-6065	66	5	have	have	VERB
ap-6065	66	6	to	to	PART
ap-6065	66	7	be	be	AUX
ap-6065	66	8	mutually	mutually	ADV
ap-6065	66	9	disjoint	disjoint	ADJ
ap-6065	66	10	and	and	CCONJ
ap-6065	66	11	γd	γd	ADV
ap-6065	66	12	∪	∪	VERB
ap-6065	66	13	γn	γn	ADP
ap-6065	66	14	∪	∪	ADJ
ap-6065	66	15	γe	γe	ADP
ap-6065	66	16	=	=	SYM
ap-6065	66	17	γ	γ	X
ap-6065	66	18	.	.	PROPN
ap-6065	66	19	in	in	ADP
ap-6065	66	20	virtue	virtue	NOUN
ap-6065	66	21	of	of	ADP
ap-6065	66	22	(	(	PUNCT
ap-6065	66	23	2.1	2.1	NUM
ap-6065	66	24	)	)	PUNCT
ap-6065	66	25	and	and	CCONJ
ap-6065	66	26	(	(	PUNCT
ap-6065	66	27	2.8	2.8	NUM
ap-6065	66	28	)	)	PUNCT
ap-6065	66	29	–	–	PUNCT
ap-6065	66	30	(	(	PUNCT
ap-6065	66	31	2.9	2.9	NUM
ap-6065	66	32	)	)	PUNCT
ap-6065	66	33	,	,	PUNCT
ap-6065	66	34	we	we	PRON
ap-6065	66	35	define	define	VERB
ap-6065	66	36	the	the	DET
ap-6065	66	37	following	follow	VERB
ap-6065	66	38	problem	problem	NOUN
ap-6065	66	39	.	.	PUNCT
ap-6065	67	1	find	find	VERB
ap-6065	67	2	a	a	DET
ap-6065	67	3	function	function	NOUN
ap-6065	67	4	ψ	ψ	X
ap-6065	67	5	=	=	NOUN
ap-6065	67	6	ψ(x	ψ(x	PROPN
ap-6065	67	7	,	,	PUNCT
ap-6065	67	8	t	t	PROPN
ap-6065	67	9	)	)	PUNCT
ap-6065	67	10	:	:	PUNCT
ap-6065	67	11	ω×	ω×	NUM
ap-6065	67	12	i	i	NOUN
ap-6065	67	13	→	→	PUNCT
ap-6065	67	14	r	r	NOUN
ap-6065	67	15	such	such	ADJ
ap-6065	67	16	that	that	SCONJ
ap-6065	67	17	∂ϑ(ψ	∂ϑ(ψ	PROPN
ap-6065	67	18	)	)	PUNCT
ap-6065	68	1	∂t	∂t	PROPN
ap-6065	68	2	−∇	−∇	NOUN
ap-6065	68	3	·	·	PUNCT
ap-6065	68	4	(	(	PUNCT
ap-6065	68	5	k(ψ)∇ψ	k(ψ)∇ψ	PROPN
ap-6065	68	6	)	)	PUNCT
ap-6065	68	7	=	=	SYM
ap-6065	68	8	0	0	NUM
ap-6065	68	9	in	in	ADP
ap-6065	68	10	ω×	ω×	PROPN
ap-6065	68	11	i	i	PROPN
ap-6065	68	12	,	,	PUNCT
ap-6065	68	13	(	(	PUNCT
ap-6065	68	14	2.11a	2.11a	NUM
ap-6065	68	15	)	)	PUNCT
ap-6065	68	16	ψ	ψ	NOUN
ap-6065	69	1	=	=	X
ap-6065	69	2	ψd	ψd	PART
ap-6065	69	3	on	on	ADP
ap-6065	69	4	γd	γd	ADP
ap-6065	69	5	×	×	PROPN
ap-6065	69	6	i	i	PRON
ap-6065	69	7	,	,	PUNCT
ap-6065	69	8	(	(	PUNCT
ap-6065	69	9	2.11b	2.11b	NUM
ap-6065	69	10	)	)	PUNCT
ap-6065	69	11	k(ψ)∇ψ	k(ψ)∇ψ	PROPN
ap-6065	69	12	·	·	PUNCT
ap-6065	70	1	n	n	X
ap-6065	70	2	=	=	SYM
ap-6065	70	3	qn	qn	NOUN
ap-6065	70	4	on	on	ADP
ap-6065	70	5	γn	γn	NUM
ap-6065	70	6	×	×	PROPN
ap-6065	70	7	i	i	INTJ
ap-6065	70	8	,	,	PUNCT
ap-6065	70	9	(	(	PUNCT
ap-6065	70	10	2.11c	2.11c	NOUN
ap-6065	70	11	)	)	PUNCT
ap-6065	71	1	∇ψ	∇ψ	PROPN
ap-6065	71	2	·	·	PUNCT
ap-6065	71	3	n	n	NOUN
ap-6065	71	4	=	=	SYM
ap-6065	71	5	0	0	PUNCT
ap-6065	71	6	if	if	SCONJ
ap-6065	71	7	ψ	ψ	VERB
ap-6065	72	1	≤	≤	ADV
ap-6065	72	2	0	0	NUM
ap-6065	72	3	ψ	ψ	NOUN
ap-6065	72	4	=	=	NOUN
ap-6065	72	5	0	0	PUNCT
ap-6065	72	6	if	if	SCONJ
ap-6065	72	7	∇ψ	∇ψ	NOUN
ap-6065	72	8	·	·	PUNCT
ap-6065	72	9	n	n	CCONJ
ap-6065	72	10	≤	≤	NOUN
ap-6065	72	11	0	0	NUM
ap-6065	72	12	}	}	PUNCT
ap-6065	72	13	on	on	ADP
ap-6065	72	14	γe	γe	INTJ
ap-6065	72	15	×	×	NOUN
ap-6065	72	16	i	i	PRON
ap-6065	72	17	,	,	PUNCT
ap-6065	72	18	(	(	PUNCT
ap-6065	72	19	2.11d	2.11d	NUM
ap-6065	72	20	)	)	PUNCT
ap-6065	72	21	ψ(x	ψ(x	PROPN
ap-6065	72	22	,	,	PUNCT
ap-6065	72	23	t	t	NOUN
ap-6065	72	24	=	=	SYM
ap-6065	72	25	0	0	NUM
ap-6065	72	26	)	)	PUNCT
ap-6065	72	27	=	=	NOUN
ap-6065	73	1	ψ0	ψ0	ADV
ap-6065	73	2	in	in	ADP
ap-6065	73	3	ω	ω	PROPN
ap-6065	73	4	.	.	PUNCT
ap-6065	74	1	(	(	PUNCT
ap-6065	74	2	2.11e	2.11e	NUM
ap-6065	74	3	)	)	PUNCT
ap-6065	74	4	3	3	NUM
ap-6065	74	5	.	.	PUNCT
ap-6065	74	6	space	space	NOUN
ap-6065	74	7	-	-	PUNCT
ap-6065	74	8	time	time	NOUN
ap-6065	74	9	discontinuous	discontinuous	ADJ
ap-6065	74	10	galerkin	galerkin	ADJ
ap-6065	74	11	discretization	discretization	NOUN
ap-6065	74	12	we	we	PRON
ap-6065	74	13	solve	solve	VERB
ap-6065	74	14	(	(	PUNCT
ap-6065	74	15	2.11	2.11	NUM
ap-6065	74	16	)	)	PUNCT
ap-6065	74	17	numerically	numerically	ADV
ap-6065	74	18	using	use	VERB
ap-6065	74	19	the	the	DET
ap-6065	74	20	space	space	NOUN
ap-6065	74	21	-	-	PUNCT
ap-6065	74	22	time	time	NOUN
ap-6065	74	23	discontinuous	discontinuous	ADJ
ap-6065	74	24	galerkin	galerkin	NOUN
ap-6065	74	25	(	(	PUNCT
ap-6065	74	26	stdg	stdg	NOUN
ap-6065	74	27	)	)	PUNCT
ap-6065	74	28	method	method	NOUN
ap-6065	74	29	.	.	PUNCT
ap-6065	75	1	we	we	PRON
ap-6065	75	2	refer	refer	VERB
ap-6065	75	3	to	to	ADP
ap-6065	75	4	[	[	X
ap-6065	75	5	24	24	NUM
ap-6065	75	6	]	]	PUNCT
ap-6065	75	7	where	where	SCONJ
ap-6065	75	8	it	it	PRON
ap-6065	75	9	was	be	AUX
ap-6065	75	10	developed	develop	VERB
ap-6065	75	11	for	for	ADP
ap-6065	75	12	the	the	DET
ap-6065	75	13	numerical	numerical	ADJ
ap-6065	75	14	solution	solution	NOUN
ap-6065	75	15	of	of	ADP
ap-6065	75	16	a	a	DET
ap-6065	75	17	time	time	NOUN
ap-6065	75	18	-	-	PUNCT
ap-6065	75	19	dependent	dependent	ADJ
ap-6065	75	20	partial	partial	ADJ
ap-6065	75	21	differential	differential	NOUN
ap-6065	75	22	equation	equation	NOUN
ap-6065	75	23	.	.	PUNCT
ap-6065	76	1	here	here	ADV
ap-6065	76	2	,	,	PUNCT
ap-6065	76	3	we	we	PRON
ap-6065	76	4	present	present	VERB
ap-6065	76	5	its	its	PRON
ap-6065	76	6	adaptation	adaptation	NOUN
ap-6065	76	7	for	for	ADP
ap-6065	76	8	the	the	DET
ap-6065	76	9	richards	richard	NOUN
ap-6065	76	10	equation	equation	NOUN
ap-6065	76	11	.	.	PUNCT
ap-6065	77	1	3.1	3.1	NUM
ap-6065	77	2	.	.	PUNCT
ap-6065	77	3	space	space	NOUN
ap-6065	77	4	-	-	PUNCT
ap-6065	77	5	time	time	NOUN
ap-6065	77	6	partition	partition	NOUN
ap-6065	77	7	first	first	ADV
ap-6065	77	8	,	,	PUNCT
ap-6065	77	9	using	use	VERB
ap-6065	77	10	a	a	DET
ap-6065	77	11	finite	finite	ADJ
ap-6065	77	12	sequence	sequence	NOUN
ap-6065	77	13	0	0	NUM
ap-6065	77	14	=	=	SYM
ap-6065	77	15	t0	t0	PROPN
ap-6065	77	16	<	<	X
ap-6065	77	17	t1	t1	NOUN
ap-6065	77	18	<	<	X
ap-6065	77	19	.	.	PUNCT
ap-6065	77	20	.	.	PUNCT
ap-6065	77	21	.	.	PUNCT
ap-6065	78	1	<	<	X
ap-6065	79	1	tr	tr	VERB
ap-6065	79	2	=	=	SYM
ap-6065	79	3	t	t	X
ap-6065	79	4	we	we	PRON
ap-6065	79	5	split	split	VERB
ap-6065	79	6	the	the	DET
ap-6065	79	7	time	time	NOUN
ap-6065	79	8	interval	interval	NOUN
ap-6065	79	9	i	i	PRON
ap-6065	79	10	into	into	ADP
ap-6065	79	11	sub	sub	ADJ
ap-6065	79	12	-	-	NOUN
ap-6065	79	13	intervals	interval	NOUN
ap-6065	79	14	intervals	interval	NOUN
ap-6065	79	15	i	i	PRON
ap-6065	79	16	m	m	VERB
ap-6065	79	17	=	=	PUNCT
ap-6065	79	18	(	(	PUNCT
ap-6065	79	19	tm−1	tm−1	NOUN
ap-6065	79	20	,	,	PUNCT
ap-6065	79	21	tm	tm	NOUN
ap-6065	79	22	]	]	X
ap-6065	79	23	,	,	PUNCT
ap-6065	79	24	m	m	VERB
ap-6065	79	25	=	=	NOUN
ap-6065	79	26	1	1	NUM
ap-6065	79	27	,	,	PUNCT
ap-6065	79	28	.	.	PUNCT
ap-6065	79	29	.	.	PUNCT
ap-6065	80	1	.	.	PUNCT
ap-6065	81	1	,	,	PUNCT
ap-6065	81	2	r	r	NOUN
ap-6065	81	3	of	of	ADP
ap-6065	81	4	lengths	length	NOUN
ap-6065	81	5	|im|	|im|	NOUN
ap-6065	81	6	=	=	SYM
ap-6065	81	7	τm	τm	PROPN
ap-6065	81	8	.	.	PUNCT
ap-6065	82	1	we	we	PRON
ap-6065	82	2	define	define	VERB
ap-6065	82	3	τ	τ	X
ap-6065	82	4	=	=	PUNCT
ap-6065	82	5	maxm=1,	maxm=1,	PROPN
ap-6065	82	6	...	...	PUNCT
ap-6065	82	7	,rτm	,rτm	PUNCT
ap-6065	82	8	.	.	PUNCT
ap-6065	83	1	for	for	ADP
ap-6065	83	2	each	each	DET
ap-6065	83	3	interval	interval	NOUN
ap-6065	83	4	tm	tm	NOUN
ap-6065	83	5	,	,	PUNCT
ap-6065	83	6	m	m	VERB
ap-6065	83	7	=	=	NOUN
ap-6065	83	8	1	1	NUM
ap-6065	83	9	,	,	PUNCT
ap-6065	83	10	.	.	PUNCT
ap-6065	83	11	.	.	PUNCT
ap-6065	83	12	.	.	PUNCT
ap-6065	84	1	,	,	PUNCT
ap-6065	84	2	r	r	X
ap-6065	84	3	,	,	PUNCT
ap-6065	84	4	we	we	PRON
ap-6065	84	5	consider	consider	VERB
ap-6065	84	6	a	a	DET
ap-6065	84	7	triangulation	triangulation	NOUN
ap-6065	84	8	th	th	NOUN
ap-6065	84	9	,	,	PUNCT
ap-6065	84	10	m	m	PROPN
ap-6065	84	11	of	of	ADP
ap-6065	84	12	ω	ω	PROPN
ap-6065	84	13	consisting	consist	VERB
ap-6065	84	14	of	of	ADP
ap-6065	84	15	a	a	DET
ap-6065	84	16	finite	finite	ADJ
ap-6065	84	17	number	number	NOUN
ap-6065	84	18	of	of	ADP
ap-6065	84	19	closed	close	VERB
ap-6065	84	20	mutually	mutually	ADV
ap-6065	84	21	disjoint	disjoint	NOUN
ap-6065	84	22	triangles	triangle	NOUN
ap-6065	84	23	k	k	PROPN
ap-6065	84	24	covering	cover	VERB
ap-6065	84	25	ω	ω	NOUN
ap-6065	84	26	,	,	PUNCT
ap-6065	84	27	i.e.	i.e.	X
ap-6065	84	28	,	,	PUNCT
ap-6065	84	29	ω	ω	X
ap-6065	84	30	=	=	SYM
ap-6065	84	31	∪k∈th	∪k∈th	PROPN
ap-6065	84	32	,	,	PUNCT
ap-6065	84	33	m	m	VERB
ap-6065	84	34	k	k	ADJ
ap-6065	84	35	,	,	PUNCT
ap-6065	84	36	m	m	VERB
ap-6065	84	37	=	=	NOUN
ap-6065	84	38	0	0	NUM
ap-6065	84	39	,	,	PUNCT
ap-6065	84	40	.	.	PUNCT
ap-6065	84	41	.	.	PUNCT
ap-6065	85	1	.	.	PUNCT
ap-6065	86	1	,	,	PUNCT
ap-6065	86	2	r.	r.	PROPN
ap-6065	86	3	the	the	DET
ap-6065	86	4	meshes	meshes	PROPN
ap-6065	86	5	th	th	PROPN
ap-6065	86	6	,	,	PUNCT
ap-6065	86	7	m	m	PROPN
ap-6065	86	8	can	can	AUX
ap-6065	86	9	differ	differ	VERB
ap-6065	86	10	for	for	ADP
ap-6065	86	11	each	each	DET
ap-6065	86	12	time	time	NOUN
ap-6065	86	13	level	level	NOUN
ap-6065	86	14	.	.	PUNCT
ap-6065	87	1	by	by	ADP
ap-6065	87	2	∂k	∂k	PROPN
ap-6065	87	3	and	and	CCONJ
ap-6065	87	4	hk	hk	NOUN
ap-6065	87	5	we	we	PRON
ap-6065	87	6	denote	denote	VERB
ap-6065	87	7	the	the	DET
ap-6065	87	8	boundary	boundary	NOUN
ap-6065	87	9	and	and	CCONJ
ap-6065	87	10	the	the	DET
ap-6065	87	11	diameter	diameter	NOUN
ap-6065	87	12	,	,	PUNCT
ap-6065	87	13	respectively	respectively	ADV
ap-6065	87	14	,	,	PUNCT
ap-6065	87	15	of	of	ADP
ap-6065	87	16	k	k	PROPN
ap-6065	87	17	∈	∈	PROPN
ap-6065	87	18	th	th	PROPN
ap-6065	87	19	,	,	PUNCT
ap-6065	87	20	m.	m.	NOUN
ap-6065	87	21	furthermore	furthermore	ADV
ap-6065	87	22	,	,	PUNCT
ap-6065	87	23	by	by	ADP
ap-6065	87	24	γh	γh	PROPN
ap-6065	87	25	,	,	PUNCT
ap-6065	87	26	m	m	AUX
ap-6065	87	27	we	we	PRON
ap-6065	87	28	denote	denote	VERB
ap-6065	87	29	the	the	DET
ap-6065	87	30	set	set	NOUN
ap-6065	87	31	of	of	ADP
ap-6065	87	32	edges	edge	NOUN
ap-6065	87	33	of	of	ADP
ap-6065	87	34	th	th	NOUN
ap-6065	87	35	,	,	PUNCT
ap-6065	87	36	m.	m.	NOUN
ap-6065	87	37	we	we	PRON
ap-6065	87	38	define	define	VERB
ap-6065	87	39	several	several	ADJ
ap-6065	87	40	subsets	subset	NOUN
ap-6065	87	41	of	of	ADP
ap-6065	87	42	γh	γh	PROPN
ap-6065	87	43	,	,	PUNCT
ap-6065	87	44	m	m	NOUN
ap-6065	87	45	,	,	PUNCT
ap-6065	87	46	namely	namely	ADV
ap-6065	87	47	γih	γih	ADJ
ap-6065	87	48	,	,	PUNCT
ap-6065	87	49	m	m	VERB
ap-6065	87	50	=	=	PUNCT
ap-6065	87	51	{	{	PUNCT
ap-6065	87	52	γ	γ	X
ap-6065	87	53	∈	∈	PROPN
ap-6065	87	54	γh	γh	PROPN
ap-6065	87	55	,	,	PUNCT
ap-6065	87	56	m	m	PROPN
ap-6065	87	57	,	,	PUNCT
ap-6065	87	58	γ	γ	PROPN
ap-6065	87	59	⊂	⊂	PROPN
ap-6065	87	60	ω	ω	PROPN
ap-6065	87	61	}	}	PUNCT
ap-6065	87	62	(	(	PUNCT
ap-6065	87	63	interior	interior	ADJ
ap-6065	87	64	edges	edge	NOUN
ap-6065	87	65	)	)	PUNCT
ap-6065	87	66	,	,	PUNCT
ap-6065	87	67	(	(	PUNCT
ap-6065	87	68	3.1	3.1	NUM
ap-6065	87	69	)	)	PUNCT
ap-6065	87	70	γdh	γdh	PROPN
ap-6065	87	71	,	,	PUNCT
ap-6065	87	72	m	m	VERB
ap-6065	87	73	=	=	PUNCT
ap-6065	87	74	{	{	PUNCT
ap-6065	87	75	γ	γ	X
ap-6065	87	76	∈	∈	PROPN
ap-6065	87	77	γh	γh	PROPN
ap-6065	87	78	,	,	PUNCT
ap-6065	87	79	m	m	PROPN
ap-6065	87	80	,	,	PUNCT
ap-6065	87	81	γ	γ	X
ap-6065	87	82	⊂	⊂	PROPN
ap-6065	87	83	γd	γd	ADP
ap-6065	87	84	}	}	PUNCT
ap-6065	87	85	(	(	PUNCT
ap-6065	87	86	dirichlet	dirichlet	PROPN
ap-6065	87	87	edges	edge	NOUN
ap-6065	87	88	)	)	PUNCT
ap-6065	87	89	,	,	PUNCT
ap-6065	87	90	γnh	γnh	PROPN
ap-6065	87	91	,	,	PUNCT
ap-6065	87	92	m	m	VERB
ap-6065	87	93	=	=	PUNCT
ap-6065	87	94	{	{	PUNCT
ap-6065	87	95	γ	γ	X
ap-6065	87	96	∈	∈	PROPN
ap-6065	87	97	γh	γh	PROPN
ap-6065	87	98	,	,	PUNCT
ap-6065	87	99	m	m	PROPN
ap-6065	87	100	,	,	PUNCT
ap-6065	87	101	γ	γ	X
ap-6065	87	102	⊂	⊂	PROPN
ap-6065	87	103	γn	γn	AUX
ap-6065	87	104	}	}	PUNCT
ap-6065	87	105	(	(	PUNCT
ap-6065	87	106	neumann	neumann	PROPN
ap-6065	87	107	edges	edges	PROPN
ap-6065	87	108	)	)	PUNCT
ap-6065	87	109	,	,	PUNCT
ap-6065	87	110	γeh	γeh	PROPN
ap-6065	87	111	,	,	PUNCT
ap-6065	87	112	m	m	VERB
ap-6065	87	113	=	=	PUNCT
ap-6065	87	114	{	{	PUNCT
ap-6065	87	115	γ	γ	X
ap-6065	87	116	∈	∈	PROPN
ap-6065	87	117	γh	γh	PROPN
ap-6065	87	118	,	,	PUNCT
ap-6065	87	119	m	m	PROPN
ap-6065	87	120	,	,	PUNCT
ap-6065	87	121	γ	γ	X
ap-6065	87	122	⊂	⊂	PROPN
ap-6065	87	123	γe	γe	X
ap-6065	87	124	}	}	PUNCT
ap-6065	87	125	(	(	PUNCT
ap-6065	87	126	seepage	seepage	NOUN
ap-6065	87	127	face	face	NOUN
ap-6065	87	128	edges	edge	NOUN
ap-6065	87	129	)	)	PUNCT
ap-6065	87	130	,	,	PUNCT
ap-6065	87	131	γbh	γbh	PROPN
ap-6065	87	132	,	,	PUNCT
ap-6065	87	133	m	m	VERB
ap-6065	87	134	=	=	ADJ
ap-6065	87	135	γdh	γdh	X
ap-6065	87	136	,	,	PUNCT
ap-6065	87	137	m	m	NOUN
ap-6065	87	138	∪	∪	ADJ
ap-6065	87	139	γnh	γnh	PROPN
ap-6065	87	140	,	,	PUNCT
ap-6065	87	141	m	m	VERB
ap-6065	87	142	∪	∪	ADJ
ap-6065	87	143	γeh	γeh	PROPN
ap-6065	87	144	,	,	PUNCT
ap-6065	87	145	m	m	NOUN
ap-6065	87	146	,	,	PUNCT
ap-6065	87	147	γidh	γidh	NOUN
ap-6065	87	148	,	,	PUNCT
ap-6065	87	149	m	m	PROPN
ap-6065	87	150	=	=	SYM
ap-6065	87	151	γih	γih	PROPN
ap-6065	87	152	,	,	PUNCT
ap-6065	87	153	m	m	VERB
ap-6065	87	154	∪	∪	ADJ
ap-6065	87	155	γdh	γdh	PROPN
ap-6065	87	156	,	,	PUNCT
ap-6065	87	157	m.	m.	NOUN
ap-6065	87	158	finally	finally	ADV
ap-6065	87	159	,	,	PUNCT
ap-6065	87	160	a	a	DET
ap-6065	87	161	unit	unit	NOUN
ap-6065	87	162	normal	normal	ADJ
ap-6065	87	163	to	to	ADP
ap-6065	87	164	γ	γ	PROPN
ap-6065	87	165	∈	∈	PROPN
ap-6065	87	166	γh	γh	PROPN
ap-6065	87	167	,	,	PUNCT
ap-6065	87	168	m	m	VERB
ap-6065	87	169	is	be	AUX
ap-6065	87	170	denoted	denote	VERB
ap-6065	87	171	by	by	ADP
ap-6065	87	172	nγ	nγ	PROPN
ap-6065	87	173	.	.	PUNCT
ap-6065	88	1	we	we	PRON
ap-6065	88	2	assume	assume	VERB
ap-6065	88	3	that	that	SCONJ
ap-6065	88	4	vectors	vector	NOUN
ap-6065	88	5	nγ	nγ	NOUN
ap-6065	88	6	,	,	PUNCT
ap-6065	88	7	γ	γ	PROPN
ap-6065	88	8	∈	∈	NOUN
ap-6065	88	9	γbh	γbh	PROPN
ap-6065	88	10	,	,	PUNCT
ap-6065	88	11	m	m	VERB
ap-6065	88	12	are	be	AUX
ap-6065	88	13	outer	outer	ADJ
ap-6065	88	14	normals	normal	NOUN
ap-6065	88	15	to	to	ADP
ap-6065	88	16	∂ω	∂ω	PROPN
ap-6065	88	17	.	.	PUNCT
ap-6065	89	1	the	the	DET
ap-6065	89	2	orientation	orientation	NOUN
ap-6065	89	3	of	of	ADP
ap-6065	89	4	nγ	nγ	NOUN
ap-6065	89	5	of	of	ADP
ap-6065	89	6	interior	interior	ADJ
ap-6065	89	7	edges	edge	VERB
ap-6065	89	8	γ	γ	PROPN
ap-6065	89	9	∈	∈	PROPN
ap-6065	89	10	γih	γih	PROPN
ap-6065	89	11	,	,	PUNCT
ap-6065	89	12	m	m	VERB
ap-6065	89	13	is	be	AUX
ap-6065	89	14	arbitrary	arbitrary	ADJ
ap-6065	89	15	but	but	CCONJ
ap-6065	89	16	fixed	fix	VERB
ap-6065	89	17	.	.	PUNCT
ap-6065	90	1	3.2	3.2	NUM
ap-6065	90	2	.	.	PUNCT
ap-6065	91	1	finite	finite	PROPN
ap-6065	91	2	element	element	NOUN
ap-6065	91	3	space	space	NOUN
ap-6065	91	4	we	we	PRON
ap-6065	91	5	will	will	AUX
ap-6065	91	6	seek	seek	VERB
ap-6065	91	7	the	the	DET
ap-6065	91	8	approximate	approximate	ADJ
ap-6065	91	9	solution	solution	NOUN
ap-6065	91	10	in	in	ADP
ap-6065	91	11	a	a	DET
ap-6065	91	12	space	space	NOUN
ap-6065	91	13	of	of	ADP
ap-6065	91	14	piecewise	piecewise	NOUN
ap-6065	91	15	polynomial	polynomial	ADJ
ap-6065	91	16	but	but	CCONJ
ap-6065	91	17	discontinuous	discontinuous	ADJ
ap-6065	91	18	functions	function	NOUN
ap-6065	91	19	.	.	PUNCT
ap-6065	92	1	we	we	PRON
ap-6065	92	2	use	use	VERB
ap-6065	92	3	a	a	DET
ap-6065	92	4	fixed	fix	VERB
ap-6065	92	5	polynomial	polynomial	ADJ
ap-6065	92	6	degree	degree	NOUN
ap-6065	92	7	q	q	PROPN
ap-6065	92	8	∈	∈	PROPN
ap-6065	92	9	n	n	CCONJ
ap-6065	92	10	wrt	wrt	X
ap-6065	92	11	.	.	PUNCT
ap-6065	93	1	t	t	PROPN
ap-6065	93	2	∈	∈	PROPN
ap-6065	94	1	i	i	PRON
ap-6065	94	2	but	but	CCONJ
ap-6065	94	3	a	a	DET
ap-6065	94	4	possibly	possibly	ADV
ap-6065	94	5	varying	vary	VERB
ap-6065	94	6	polynomial	polynomial	ADJ
ap-6065	94	7	degree	degree	NOUN
ap-6065	94	8	pk	pk	NOUN
ap-6065	94	9	wrt	wrt	X
ap-6065	94	10	.	.	PUNCT
ap-6065	95	1	x	x	PUNCT
ap-6065	95	2	∈	∈	PROPN
ap-6065	95	3	ω	ω	PROPN
ap-6065	95	4	for	for	ADP
ap-6065	95	5	each	each	DET
ap-6065	95	6	mesh	mesh	NOUN
ap-6065	95	7	element	element	NOUN
ap-6065	95	8	k	k	PROPN
ap-6065	95	9	∈	∈	PROPN
ap-6065	95	10	th	th	PROPN
ap-6065	95	11	,	,	PUNCT
ap-6065	95	12	m	m	PROPN
ap-6065	95	13	,	,	PUNCT
ap-6065	95	14	m	m	VERB
ap-6065	95	15	=	=	NOUN
ap-6065	95	16	0	0	NUM
ap-6065	95	17	,	,	PUNCT
ap-6065	95	18	.	.	PUNCT
ap-6065	95	19	.	.	PUNCT
ap-6065	95	20	.	.	PUNCT
ap-6065	96	1	,	,	PUNCT
ap-6065	96	2	r.	r.	PROPN
ap-6065	96	3	we	we	PRON
ap-6065	96	4	define	define	VERB
ap-6065	96	5	the	the	DET
ap-6065	96	6	spaces	space	NOUN
ap-6065	96	7	of	of	ADP
ap-6065	96	8	space	space	NOUN
ap-6065	96	9	-	-	PUNCT
ap-6065	96	10	time	time	NOUN
ap-6065	96	11	discontinuous	discontinuous	ADJ
ap-6065	96	12	piecewise	piecewise	NOUN
ap-6065	96	13	polynomial	polynomial	ADJ
ap-6065	96	14	functions	function	NOUN
ap-6065	96	15	on	on	ADP
ap-6065	96	16	ω×	ω×	PROPN
ap-6065	96	17	i	i	PRON
ap-6065	96	18	as	as	ADP
ap-6065	96	19	sτ	sτ	PROPN
ap-6065	96	20	,	,	PUNCT
ap-6065	96	21	qh	qh	NOUN
ap-6065	96	22	,	,	PUNCT
ap-6065	96	23	p	p	X
ap-6065	96	24	:	:	PUNCT
ap-6065	96	25	=	=	SYM
ap-6065	96	26	{	{	PUNCT
ap-6065	96	27	ϕ	ϕ	NOUN
ap-6065	96	28	:	:	PUNCT
ap-6065	96	29	ω×	ω×	PROPN
ap-6065	96	30	i	i	NOUN
ap-6065	96	31	→	→	SYM
ap-6065	96	32	r	r	NOUN
ap-6065	96	33	;	;	PUNCT
ap-6065	96	34	ϕ|k×im	ϕ|k×im	PROPN
ap-6065	96	35	∈	∈	PROPN
ap-6065	96	36	p	p	PROPN
ap-6065	96	37	pk	pk	NOUN
ap-6065	96	38	,	,	PUNCT
ap-6065	96	39	q(k	q(k	PROPN
ap-6065	96	40	×	×	VERB
ap-6065	96	41	i	i	NOUN
ap-6065	96	42	m	m	PROPN
ap-6065	96	43	)	)	PUNCT
ap-6065	96	44	,	,	PUNCT
ap-6065	96	45	k	k	PROPN
ap-6065	96	46	∈	∈	PROPN
ap-6065	96	47	th	th	X
ap-6065	96	48	,	,	PUNCT
ap-6065	96	49	m	m	PROPN
ap-6065	96	50	,	,	PUNCT
ap-6065	96	51	m	m	VERB
ap-6065	96	52	=	=	NOUN
ap-6065	96	53	1	1	NUM
ap-6065	96	54	,	,	PUNCT
ap-6065	96	55	.	.	PUNCT
ap-6065	96	56	.	.	PUNCT
ap-6065	97	1	.	.	PUNCT
ap-6065	98	1	,	,	PUNCT
ap-6065	98	2	r	r	NOUN
ap-6065	98	3	}	}	PUNCT
ap-6065	98	4	,	,	PUNCT
ap-6065	98	5	(	(	PUNCT
ap-6065	98	6	3.2	3.2	NUM
ap-6065	98	7	)	)	PUNCT
ap-6065	98	8	where	where	SCONJ
ap-6065	98	9	p	p	PROPN
ap-6065	98	10	pk	pk	NOUN
ap-6065	98	11	,	,	PUNCT
ap-6065	98	12	q(k	q(k	PROPN
ap-6065	98	13	×	×	VERB
ap-6065	98	14	i	i	PRON
ap-6065	98	15	m	m	VERB
ap-6065	98	16	)	)	PUNCT
ap-6065	98	17	is	be	AUX
ap-6065	98	18	the	the	DET
ap-6065	98	19	space	space	NOUN
ap-6065	98	20	of	of	ADP
ap-6065	98	21	space	space	NOUN
ap-6065	98	22	-	-	PUNCT
ap-6065	98	23	time	time	NOUN
ap-6065	98	24	polynomial	polynomial	ADJ
ap-6065	98	25	functions	function	NOUN
ap-6065	98	26	on	on	ADP
ap-6065	98	27	k	k	PROPN
ap-6065	98	28	×	×	NOUN
ap-6065	99	1	i	i	PRON
ap-6065	99	2	m	m	AUX
ap-6065	99	3	having	have	VERB
ap-6065	99	4	degree	degree	NOUN
ap-6065	99	5	≤	≤	NUM
ap-6065	99	6	pk	pk	NOUN
ap-6065	99	7	wrt	wrt	X
ap-6065	99	8	.	.	PUNCT
ap-6065	100	1	x	x	PUNCT
ap-6065	100	2	∈	∈	PROPN
ap-6065	100	3	k	k	NOUN
ap-6065	100	4	and	and	CCONJ
ap-6065	100	5	degree	degree	VERB
ap-6065	100	6	≤	≤	X
ap-6065	100	7	q	q	X
ap-6065	100	8	wrt	wrt	X
ap-6065	100	9	.	.	PUNCT
ap-6065	101	1	t	t	PROPN
ap-6065	101	2	∈	∈	PROPN
ap-6065	102	1	i	i	PRON
ap-6065	102	2	m	m	VERB
ap-6065	102	3	for	for	ADP
ap-6065	102	4	k	k	PROPN
ap-6065	102	5	∈	∈	PROPN
ap-6065	102	6	th	th	X
ap-6065	102	7	,	,	PUNCT
ap-6065	102	8	m	m	VERB
ap-6065	102	9	and	and	CCONJ
ap-6065	102	10	m	m	PROPN
ap-6065	102	11	=	=	ADJ
ap-6065	102	12	1	1	NUM
ap-6065	102	13	,	,	PUNCT
ap-6065	102	14	.	.	PUNCT
ap-6065	102	15	.	.	PUNCT
ap-6065	102	16	.	.	PUNCT
ap-6065	103	1	,	,	PUNCT
ap-6065	103	2	r.	r.	PROPN
ap-6065	103	3	moreover	moreover	ADV
ap-6065	103	4	,	,	PUNCT
ap-6065	103	5	a	a	DET
ap-6065	103	6	restriction	restriction	NOUN
ap-6065	103	7	of	of	ADP
ap-6065	103	8	sτ	sτ	NOUN
ap-6065	103	9	,	,	PUNCT
ap-6065	103	10	qh	qh	NOUN
ap-6065	103	11	,	,	PUNCT
ap-6065	103	12	p	p	NOUN
ap-6065	103	13	on	on	ADP
ap-6065	103	14	the	the	DET
ap-6065	103	15	time	time	NOUN
ap-6065	103	16	layer	layer	NOUN
ap-6065	103	17	i	i	PRON
ap-6065	103	18	m	m	PROPN
ap-6065	103	19	,	,	PUNCT
ap-6065	103	20	m	m	VERB
ap-6065	103	21	=	=	NOUN
ap-6065	103	22	1	1	NUM
ap-6065	103	23	,	,	PUNCT
ap-6065	103	24	.	.	PUNCT
ap-6065	103	25	.	.	PUNCT
ap-6065	104	1	.	.	PUNCT
ap-6065	105	1	,	,	PUNCT
ap-6065	105	2	r	r	NOUN
ap-6065	105	3	is	be	AUX
ap-6065	105	4	given	give	VERB
ap-6065	105	5	by	by	ADP
ap-6065	105	6	sτ	sτ	PROPN
ap-6065	105	7	,	,	PUNCT
ap-6065	105	8	qm	qm	PROPN
ap-6065	105	9	,	,	PUNCT
ap-6065	105	10	h	h	NOUN
ap-6065	105	11	,	,	PUNCT
ap-6065	105	12	p	p	X
ap-6065	105	13	:	:	PUNCT
ap-6065	105	14	=	=	SYM
ap-6065	105	15	{	{	PUNCT
ap-6065	105	16	ϕ	ϕ	NOUN
ap-6065	105	17	:	:	PUNCT
ap-6065	105	18	ω×	ω×	PROPN
ap-6065	105	19	i	i	NOUN
ap-6065	105	20	m	m	VERB
ap-6065	105	21	→	→	SYM
ap-6065	105	22	r	r	NOUN
ap-6065	105	23	;	;	PUNCT
ap-6065	105	24	(	(	PUNCT
ap-6065	105	25	3.3	3.3	NUM
ap-6065	105	26	)	)	PUNCT
ap-6065	105	27	ϕ|k×im	ϕ|k×im	PROPN
ap-6065	105	28	∈	∈	PROPN
ap-6065	105	29	p	p	PROPN
ap-6065	105	30	pk	pk	NOUN
ap-6065	105	31	,	,	PUNCT
ap-6065	105	32	q(k	q(k	PROPN
ap-6065	105	33	×	×	VERB
ap-6065	105	34	i	i	NOUN
ap-6065	105	35	m	m	PROPN
ap-6065	105	36	)	)	PUNCT
ap-6065	105	37	,	,	PUNCT
ap-6065	105	38	k	k	PROPN
ap-6065	105	39	∈	∈	PROPN
ap-6065	105	40	th	th	X
ap-6065	105	41	,	,	PUNCT
ap-6065	105	42	m	m	NOUN
ap-6065	105	43	}	}	PUNCT
ap-6065	105	44	.	.	PUNCT
ap-6065	106	1	finally	finally	ADV
ap-6065	106	2	,	,	PUNCT
ap-6065	106	3	we	we	PRON
ap-6065	106	4	introduce	introduce	VERB
ap-6065	106	5	the	the	DET
ap-6065	106	6	jumps	jump	NOUN
ap-6065	106	7	and	and	CCONJ
ap-6065	106	8	mean	mean	VERB
ap-6065	106	9	values	value	NOUN
ap-6065	106	10	of	of	ADP
ap-6065	106	11	functions	function	NOUN
ap-6065	106	12	from	from	ADP
ap-6065	106	13	sτ	sτ	NOUN
ap-6065	106	14	,	,	PUNCT
ap-6065	106	15	qh	qh	NOUN
ap-6065	106	16	,	,	PUNCT
ap-6065	106	17	p.	p.	NOUN
ap-6065	106	18	for	for	ADP
ap-6065	106	19	γ	γ	PROPN
ap-6065	106	20	∈	∈	PROPN
ap-6065	106	21	γih	γih	PROPN
ap-6065	106	22	,	,	PUNCT
ap-6065	106	23	m	m	PRON
ap-6065	106	24	and	and	CCONJ
ap-6065	106	25	v	v	ADP
ap-6065	106	26	∈	∈	PROPN
ap-6065	106	27	sτ	sτ	NOUN
ap-6065	106	28	,	,	PUNCT
ap-6065	106	29	qm	qm	PROPN
ap-6065	106	30	,	,	PUNCT
ap-6065	106	31	h	h	NOUN
ap-6065	106	32	,	,	PUNCT
ap-6065	106	33	p	p	X
ap-6065	106	34	,	,	PUNCT
ap-6065	106	35	m	m	VERB
ap-6065	106	36	=	=	NOUN
ap-6065	106	37	0	0	NUM
ap-6065	106	38	,	,	PUNCT
ap-6065	106	39	.	.	PUNCT
ap-6065	106	40	.	.	PUNCT
ap-6065	106	41	.	.	PUNCT
ap-6065	107	1	,	,	PUNCT
ap-6065	107	2	r	r	NOUN
ap-6065	107	3	we	we	PRON
ap-6065	107	4	define	define	VERB
ap-6065	107	5	[	[	X
ap-6065	107	6	v]γ	v]γ	X
ap-6065	107	7	=	=	SYM
ap-6065	107	8	v|(+	v|(+	NOUN
ap-6065	107	9	)	)	PUNCT
ap-6065	108	1	γ	γ	PROPN
ap-6065	108	2	−	−	PROPN
ap-6065	108	3	v|(−	v|(−	PROPN
ap-6065	108	4	)	)	PUNCT
ap-6065	108	5	γ	γ	NOUN
ap-6065	108	6	,	,	PUNCT
ap-6065	108	7	(	(	PUNCT
ap-6065	108	8	3.4	3.4	NUM
ap-6065	108	9	)	)	PUNCT
ap-6065	108	10	〈	〈	NOUN
ap-6065	108	11	v〉γ	v〉γ	NOUN
ap-6065	108	12	=	=	NOUN
ap-6065	108	13	1	1	NUM
ap-6065	108	14	2	2	NUM
ap-6065	108	15	(	(	PUNCT
ap-6065	108	16	v|(+	v|(+	NOUN
ap-6065	108	17	)	)	PUNCT
ap-6065	108	18	γ	γ	PROPN
ap-6065	108	19	+	+	CCONJ
ap-6065	108	20	v|(−	v|(−	PROPN
ap-6065	108	21	)	)	PUNCT
ap-6065	108	22	γ	γ	NOUN
ap-6065	108	23	)	)	PUNCT
ap-6065	108	24	,	,	PUNCT
ap-6065	108	25	(	(	PUNCT
ap-6065	108	26	3.5	3.5	NUM
ap-6065	108	27	)	)	PUNCT
ap-6065	108	28	where	where	SCONJ
ap-6065	108	29	v|(±	v|(±	NOUN
ap-6065	108	30	)	)	PUNCT
ap-6065	108	31	γ	γ	X
ap-6065	108	32	=	=	SYM
ap-6065	108	33	limδ→0±	limδ→0±	PROPN
ap-6065	108	34	v(x	v(x	PROPN
ap-6065	108	35	+	+	CCONJ
ap-6065	108	36	δnγ	δnγ	NOUN
ap-6065	108	37	)	)	PUNCT
ap-6065	108	38	,	,	PUNCT
ap-6065	108	39	x	x	PROPN
ap-6065	108	40	∈	∈	PROPN
ap-6065	108	41	γ	γ	X
ap-6065	108	42	.	.	PROPN
ap-6065	108	43	for	for	ADP
ap-6065	108	44	γ	γ	PROPN
ap-6065	108	45	∈	∈	PROPN
ap-6065	108	46	γbh	γbh	PROPN
ap-6065	108	47	,	,	PUNCT
ap-6065	108	48	m	m	PRON
ap-6065	108	49	,	,	PUNCT
ap-6065	108	50	we	we	PRON
ap-6065	108	51	set	set	VERB
ap-6065	108	52	[	[	X
ap-6065	108	53	v]γ	v]γ	X
ap-6065	108	54	=	=	PUNCT
ap-6065	108	55	〈	〈	PROPN
ap-6065	108	56	v〉γ	v〉γ	NOUN
ap-6065	108	57	=	=	SYM
ap-6065	108	58	v|γ	v|γ	PROPN
ap-6065	108	59	.	.	PUNCT
ap-6065	109	1	in	in	ADP
ap-6065	109	2	the	the	DET
ap-6065	109	3	case	case	NOUN
ap-6065	109	4	that	that	SCONJ
ap-6065	109	5	nγ	nγ	NOUN
ap-6065	109	6	,	,	PUNCT
ap-6065	109	7	[	[	X
ap-6065	109	8	·	·	X
ap-6065	109	9	]	]	X
ap-6065	109	10	γ	γ	X
ap-6065	109	11	and	and	CCONJ
ap-6065	109	12	〈	〈	PROPN
ap-6065	109	13	·	·	PROPN
ap-6065	109	14	〉	〉	PROPN
ap-6065	109	15	γ	γ	NOUN
ap-6065	109	16	are	be	AUX
ap-6065	109	17	arguments	argument	NOUN
ap-6065	109	18	of	of	ADP
ap-6065	109	19	∫	∫	PROPN
ap-6065	109	20	γ	γ	X
ap-6065	109	21	.	.	PUNCT
ap-6065	109	22	.	.	PUNCT
ap-6065	109	23	.	.	PUNCT
ap-6065	110	1	ds	ds	PROPN
ap-6065	110	2	,	,	PUNCT
ap-6065	110	3	γ	γ	X
ap-6065	110	4	∈	∈	PROPN
ap-6065	110	5	γh	γh	PROPN
ap-6065	110	6	,	,	PUNCT
ap-6065	110	7	m	m	VERB
ap-6065	110	8	we	we	PRON
ap-6065	110	9	omit	omit	VERB
ap-6065	110	10	the	the	DET
ap-6065	110	11	subscript	subscript	NOUN
ap-6065	110	12	γ	γ	PROPN
ap-6065	110	13	.	.	PUNCT
ap-6065	111	1	additionally	additionally	ADV
ap-6065	111	2	,	,	PUNCT
ap-6065	111	3	we	we	PRON
ap-6065	111	4	set	set	VERB
ap-6065	111	5	{	{	PUNCT
ap-6065	111	6	ϕ}m	ϕ}m	INTJ
ap-6065	111	7	:	:	PUNCT
ap-6065	111	8	=	=	NOUN
ap-6065	111	9	ϕ|+m	ϕ|+m	VERB
ap-6065	111	10	−	−	NOUN
ap-6065	111	11	ϕ|−m	ϕ|−m	NOUN
ap-6065	111	12	,	,	PUNCT
ap-6065	111	13	ϕ|±m	ϕ|±m	PUNCT
ap-6065	111	14	:	:	PUNCT
ap-6065	112	1	=	=	PUNCT
ap-6065	112	2	lim	lim	PROPN
ap-6065	112	3	δ→0±	δ→0±	PROPN
ap-6065	112	4	ϕ(tm	ϕ(tm	PROPN
ap-6065	112	5	+	+	CCONJ
ap-6065	112	6	δ	δ	PROPN
ap-6065	112	7	)	)	PUNCT
ap-6065	112	8	,	,	PUNCT
ap-6065	112	9	(	(	PUNCT
ap-6065	112	10	3.6	3.6	NUM
ap-6065	112	11	)	)	PUNCT
ap-6065	112	12	defining	define	VERB
ap-6065	112	13	a	a	DET
ap-6065	112	14	jump	jump	NOUN
ap-6065	112	15	of	of	ADP
ap-6065	112	16	ϕ	ϕ	PROPN
ap-6065	112	17	∈	∈	PROPN
ap-6065	112	18	sτ	sτ	PROPN
ap-6065	112	19	,	,	PUNCT
ap-6065	112	20	qh	qh	NOUN
ap-6065	112	21	,	,	PUNCT
ap-6065	112	22	p	p	NOUN
ap-6065	112	23	wrt	wrt	PROPN
ap-6065	112	24	.	.	PUNCT
ap-6065	113	1	time	time	NOUN
ap-6065	113	2	at	at	ADP
ap-6065	113	3	tm	tm	PROPN
ap-6065	113	4	,	,	PUNCT
ap-6065	113	5	m	m	VERB
ap-6065	113	6	=	=	NOUN
ap-6065	113	7	0	0	NUM
ap-6065	113	8	,	,	PUNCT
ap-6065	113	9	.	.	PUNCT
ap-6065	113	10	.	.	PUNCT
ap-6065	114	1	.	.	PUNCT
ap-6065	115	1	,	,	PUNCT
ap-6065	115	2	r.	r.	PROPN
ap-6065	115	3	we	we	PRON
ap-6065	115	4	observe	observe	VERB
ap-6065	115	5	that	that	SCONJ
ap-6065	115	6	the	the	DET
ap-6065	115	7	finite	finite	PROPN
ap-6065	115	8	element	element	NOUN
ap-6065	115	9	space	space	NOUN
ap-6065	115	10	sτ	sτ	PROPN
ap-6065	115	11	,	,	PUNCT
ap-6065	115	12	qh	qh	NOUN
ap-6065	115	13	,	,	PUNCT
ap-6065	115	14	p	p	PROPN
ap-6065	115	15	is	be	AUX
ap-6065	115	16	independent	independent	ADJ
ap-6065	115	17	on	on	ADP
ap-6065	115	18	the	the	DET
ap-6065	115	19	type	type	NOUN
ap-6065	115	20	of	of	ADP
ap-6065	115	21	boundary	boundary	ADJ
ap-6065	115	22	conditions	condition	NOUN
ap-6065	115	23	since	since	SCONJ
ap-6065	115	24	they	they	PRON
ap-6065	115	25	are	be	AUX
ap-6065	115	26	incorporated	incorporate	VERB
ap-6065	115	27	directly	directly	ADV
ap-6065	115	28	in	in	ADP
ap-6065	115	29	the	the	DET
ap-6065	115	30	numerical	numerical	ADJ
ap-6065	115	31	scheme	scheme	NOUN
ap-6065	115	32	.	.	PUNCT
ap-6065	116	1	this	this	PRON
ap-6065	116	2	is	be	AUX
ap-6065	116	3	different	different	ADJ
ap-6065	116	4	from	from	ADP
ap-6065	116	5	conforming	conform	VERB
ap-6065	116	6	finite	finite	ADJ
ap-6065	116	7	element	element	NOUN
ap-6065	116	8	methods	method	NOUN
ap-6065	116	9	.	.	PUNCT
ap-6065	117	1	3.3	3.3	NUM
ap-6065	117	2	.	.	PUNCT
ap-6065	118	1	space	space	NOUN
ap-6065	118	2	discretization	discretization	NOUN
ap-6065	118	3	we	we	PRON
ap-6065	118	4	discretize	discretize	VERB
ap-6065	118	5	problem	problem	NOUN
ap-6065	118	6	(	(	PUNCT
ap-6065	118	7	2.11	2.11	NUM
ap-6065	118	8	)	)	PUNCT
ap-6065	118	9	in	in	ADP
ap-6065	118	10	space	space	NOUN
ap-6065	118	11	using	use	VERB
ap-6065	118	12	the	the	DET
ap-6065	118	13	incomplete	incomplete	ADJ
ap-6065	118	14	interior	interior	ADJ
ap-6065	118	15	penalty	penalty	NOUN
ap-6065	118	16	galerkin	galerkin	ADJ
ap-6065	118	17	(	(	PUNCT
ap-6065	118	18	iipg	iipg	PROPN
ap-6065	118	19	)	)	PUNCT
ap-6065	118	20	method	method	NOUN
ap-6065	118	21	.	.	PUNCT
ap-6065	119	1	the	the	DET
ap-6065	119	2	main	main	ADJ
ap-6065	119	3	advantage	advantage	NOUN
ap-6065	119	4	of	of	ADP
ap-6065	119	5	the	the	DET
ap-6065	119	6	iipg	iipg	NOUN
ap-6065	119	7	technique	technique	NOUN
ap-6065	119	8	is	be	AUX
ap-6065	119	9	the	the	DET
ap-6065	119	10	absence	absence	NOUN
ap-6065	119	11	of	of	ADP
ap-6065	119	12	additional	additional	ADJ
ap-6065	119	13	stabilization	stabilization	NOUN
ap-6065	119	14	terms	term	NOUN
ap-6065	119	15	,	,	PUNCT
ap-6065	119	16	cf	cf	NOUN
ap-6065	119	17	.	.	PUNCT
ap-6065	120	1	[	[	X
ap-6065	120	2	24	24	NUM
ap-6065	120	3	,	,	PUNCT
ap-6065	120	4	chapter	chapter	NOUN
ap-6065	120	5	2	2	NUM
ap-6065	120	6	]	]	PUNCT
ap-6065	120	7	.	.	PUNCT
ap-6065	121	1	in	in	ADP
ap-6065	121	2	order	order	NOUN
ap-6065	121	3	to	to	PART
ap-6065	121	4	simplify	simplify	VERB
ap-6065	121	5	an	an	DET
ap-6065	121	6	exposition	exposition	NOUN
ap-6065	121	7	of	of	ADP
ap-6065	121	8	iipg	iipg	PROPN
ap-6065	121	9	method	method	NOUN
ap-6065	121	10	,	,	PUNCT
ap-6065	121	11	we	we	PRON
ap-6065	121	12	assume	assume	VERB
ap-6065	121	13	in	in	ADP
ap-6065	121	14	this	this	DET
ap-6065	121	15	section	section	NOUN
ap-6065	121	16	that	that	SCONJ
ap-6065	121	17	γe	γe	VERB
ap-6065	121	18	=	=	PUNCT
ap-6065	121	19	∅.	∅.	VERB
ap-6065	121	20	the	the	DET
ap-6065	121	21	general	general	ADJ
ap-6065	121	22	case	case	NOUN
ap-6065	121	23	will	will	AUX
ap-6065	121	24	be	be	AUX
ap-6065	121	25	discussed	discuss	VERB
ap-6065	121	26	in	in	ADP
ap-6065	121	27	section	section	NOUN
ap-6065	121	28	3.4	3.4	NUM
ap-6065	121	29	.	.	PUNCT
ap-6065	122	1	let	let	VERB
ap-6065	122	2	ψ	ψ	PART
ap-6065	122	3	be	be	AUX
ap-6065	122	4	a	a	DET
ap-6065	122	5	sufficiently	sufficiently	ADV
ap-6065	122	6	smooth	smooth	ADJ
ap-6065	122	7	exact	exact	ADJ
ap-6065	122	8	solution	solution	NOUN
ap-6065	122	9	of	of	ADP
ap-6065	122	10	(	(	PUNCT
ap-6065	122	11	2.11	2.11	NUM
ap-6065	122	12	)	)	PUNCT
ap-6065	122	13	.	.	PUNCT
ap-6065	123	1	let	let	VERB
ap-6065	123	2	m	m	VERB
ap-6065	123	3	=	=	NOUN
ap-6065	123	4	1	1	NUM
ap-6065	123	5	,	,	PUNCT
ap-6065	123	6	.	.	PUNCT
ap-6065	123	7	.	.	PUNCT
ap-6065	124	1	.	.	PUNCT
ap-6065	125	1	,	,	PUNCT
ap-6065	125	2	r	r	NOUN
ap-6065	125	3	be	be	VERB
ap-6065	125	4	arbitrary	arbitrary	ADJ
ap-6065	125	5	but	but	CCONJ
ap-6065	125	6	fixed	fix	VERB
ap-6065	125	7	.	.	PUNCT
ap-6065	126	1	we	we	PRON
ap-6065	126	2	multiply	multiply	VERB
ap-6065	126	3	(	(	PUNCT
ap-6065	126	4	2.11a	2.11a	NUM
ap-6065	126	5	)	)	PUNCT
ap-6065	126	6	with	with	ADP
ap-6065	126	7	ϕ	ϕ	PROPN
ap-6065	126	8	∈	∈	PROPN
ap-6065	126	9	sτ	sτ	PROPN
ap-6065	126	10	,	,	PUNCT
ap-6065	126	11	qh	qh	NOUN
ap-6065	126	12	,	,	PUNCT
ap-6065	126	13	p	p	NOUN
ap-6065	126	14	,	,	PUNCT
ap-6065	126	15	integrate	integrate	VERB
ap-6065	126	16	over	over	ADP
ap-6065	126	17	k	k	PROPN
ap-6065	126	18	∈	∈	PROPN
ap-6065	126	19	th	th	PROPN
ap-6065	126	20	,	,	PUNCT
ap-6065	126	21	m	m	PROPN
ap-6065	126	22	,	,	PUNCT
ap-6065	126	23	sum	sum	VERB
ap-6065	126	24	over	over	ADP
ap-6065	126	25	all	all	DET
ap-6065	126	26	elements	element	NOUN
ap-6065	126	27	k	k	PROPN
ap-6065	126	28	∈	∈	PROPN
ap-6065	126	29	th	th	X
ap-6065	126	30	,	,	PUNCT
ap-6065	126	31	m	m	PROPN
ap-6065	126	32	,	,	PUNCT
ap-6065	126	33	and	and	CCONJ
ap-6065	126	34	carry	carry	VERB
ap-6065	126	35	out	out	ADP
ap-6065	126	36	some	some	DET
ap-6065	126	37	manipulation	manipulation	NOUN
ap-6065	126	38	.	.	PUNCT
ap-6065	127	1	the	the	DET
ap-6065	127	2	green	green	PROPN
ap-6065	127	3	’s	’s	PART
ap-6065	127	4	theorem	theorem	NOUN
ap-6065	127	5	applied	apply	VERB
ap-6065	127	6	to	to	ADP
ap-6065	127	7	61	61	NUM
ap-6065	127	8	v.	v.	ADP
ap-6065	127	9	dolejší	dolejší	NOUN
ap-6065	127	10	,	,	PUNCT
ap-6065	127	11	m.	m.	NOUN
ap-6065	127	12	kuráž	kuráž	PROPN
ap-6065	127	13	,	,	PUNCT
ap-6065	127	14	p.	p.	PROPN
ap-6065	127	15	solin	solin	PROPN
ap-6065	127	16	acta	acta	PROPN
ap-6065	127	17	polytechnica	polytechnica	PROPN
ap-6065	127	18	the	the	DET
ap-6065	127	19	conductivity	conductivity	NOUN
ap-6065	127	20	term	term	NOUN
ap-6065	127	21	and	and	CCONJ
ap-6065	127	22	(	(	PUNCT
ap-6065	127	23	2.11c	2.11c	NOUN
ap-6065	127	24	)	)	PUNCT
ap-6065	127	25	yields	yield	NOUN
ap-6065	127	26	−	−	NOUN
ap-6065	127	27	∑	∑	PUNCT
ap-6065	127	28	k∈th	k∈th	PROPN
ap-6065	127	29	,	,	PUNCT
ap-6065	127	30	m	m	PROPN
ap-6065	127	31	∫	∫	PROPN
ap-6065	128	1	k	k	X
ap-6065	128	2	∇	∇	X
ap-6065	128	3	·	·	PUNCT
ap-6065	128	4	(	(	PUNCT
ap-6065	128	5	k(ψ−	k(ψ−	PROPN
ap-6065	128	6	z)∇ψ)ϕdx	z)∇ψ)ϕdx	PROPN
ap-6065	128	7	(	(	PUNCT
ap-6065	128	8	3.7	3.7	NUM
ap-6065	128	9	)	)	PUNCT
ap-6065	128	10	=	=	SYM
ap-6065	128	11	∑	∑	PUNCT
ap-6065	128	12	k∈th	k∈th	PROPN
ap-6065	128	13	,	,	PUNCT
ap-6065	128	14	m	m	PROPN
ap-6065	128	15	(	(	PUNCT
ap-6065	128	16	k(ψ−	k(ψ−	PROPN
ap-6065	128	17	z)∇ψ,∇ϕ)k	z)∇ψ,∇ϕ)k	PROPN
ap-6065	128	18	−	−	PROPN
ap-6065	128	19	∑	∑	PROPN
ap-6065	128	20	γ∈γid	γ∈γid	PROPN
ap-6065	128	21	h	h	NOUN
ap-6065	128	22	,	,	PUNCT
ap-6065	128	23	m	m	VERB
ap-6065	128	24	(	(	PUNCT
ap-6065	128	25	〈	〈	PROPN
ap-6065	128	26	k(ψ−	k(ψ−	PROPN
ap-6065	128	27	z)∇ψ	z)∇ψ	VERB
ap-6065	128	28	〉	〉	PROPN
ap-6065	128	29	·	·	PUNCT
ap-6065	128	30	n	n	CCONJ
ap-6065	128	31	,	,	PUNCT
ap-6065	128	32	[	[	X
ap-6065	128	33	ϕ])γ	ϕ])γ	PROPN
ap-6065	128	34	−	−	PROPN
ap-6065	128	35	∑	∑	PROPN
ap-6065	128	36	γ∈γn	γ∈γn	ADJ
ap-6065	128	37	h	h	NOUN
ap-6065	128	38	,	,	PUNCT
ap-6065	128	39	m	m	PROPN
ap-6065	128	40	(	(	PUNCT
ap-6065	128	41	qn	qn	INTJ
ap-6065	128	42	,	,	PUNCT
ap-6065	128	43	ϕ)γ	ϕ)γ	X
ap-6065	128	44	.	.	PUNCT
ap-6065	129	1	in	in	ADP
ap-6065	129	2	order	order	NOUN
ap-6065	129	3	to	to	PART
ap-6065	129	4	ensure	ensure	VERB
ap-6065	129	5	the	the	DET
ap-6065	129	6	coercivity	coercivity	NOUN
ap-6065	129	7	of	of	ADP
ap-6065	129	8	the	the	DET
ap-6065	129	9	resulting	result	VERB
ap-6065	129	10	numerical	numerical	ADJ
ap-6065	129	11	scheme	scheme	NOUN
ap-6065	129	12	,	,	PUNCT
ap-6065	129	13	we	we	PRON
ap-6065	129	14	include	include	VERB
ap-6065	129	15	additional	additional	ADJ
ap-6065	129	16	terms	term	NOUN
ap-6065	129	17	to	to	ADP
ap-6065	129	18	(	(	PUNCT
ap-6065	129	19	3.7	3.7	NUM
ap-6065	129	20	)	)	PUNCT
ap-6065	129	21	which	which	PRON
ap-6065	129	22	are	be	AUX
ap-6065	129	23	vanishing	vanish	VERB
ap-6065	129	24	if	if	SCONJ
ap-6065	129	25	ψ	ψ	NOUN
ap-6065	129	26	is	be	AUX
ap-6065	129	27	smooth	smooth	ADJ
ap-6065	129	28	and	and	CCONJ
ap-6065	129	29	satisfies	satisfie	NOUN
ap-6065	129	30	(	(	PUNCT
ap-6065	129	31	2.11b	2.11b	NUM
ap-6065	129	32	)	)	PUNCT
ap-6065	129	33	.	.	PUNCT
ap-6065	130	1	namely,∑	namely,∑	INTJ
ap-6065	130	2	γ∈γi	γ∈γi	PROPN
ap-6065	130	3	h	h	NOUN
ap-6065	130	4	,	,	PUNCT
ap-6065	130	5	m	m	PROPN
ap-6065	130	6	(	(	PUNCT
ap-6065	130	7	σ[ψ	σ[ψ	PROPN
ap-6065	130	8	]	]	PUNCT
ap-6065	130	9	,	,	PUNCT
ap-6065	130	10	[	[	X
ap-6065	130	11	ϕ])γ	ϕ])γ	PROPN
ap-6065	130	12	+	+	CCONJ
ap-6065	130	13	∑	∑	ADJ
ap-6065	130	14	γ∈γd	γ∈γd	ADJ
ap-6065	130	15	h	h	NOUN
ap-6065	130	16	,	,	PUNCT
ap-6065	130	17	m	m	PROPN
ap-6065	130	18	(	(	PUNCT
ap-6065	130	19	σ(ψ−ψd	σ(ψ−ψd	NOUN
ap-6065	130	20	)	)	PUNCT
ap-6065	130	21	,	,	PUNCT
ap-6065	130	22	ϕ)γ	ϕ)γ	X
ap-6065	130	23	,	,	PUNCT
ap-6065	130	24	(	(	PUNCT
ap-6065	130	25	3.8	3.8	NUM
ap-6065	130	26	)	)	PUNCT
ap-6065	130	27	where	where	SCONJ
ap-6065	130	28	σ	σ	PROPN
ap-6065	130	29	is	be	AUX
ap-6065	130	30	the	the	DET
ap-6065	130	31	penalty	penalty	NOUN
ap-6065	130	32	parameter	parameter	NOUN
ap-6065	130	33	.	.	PUNCT
ap-6065	131	1	the	the	DET
ap-6065	131	2	terms	term	NOUN
ap-6065	131	3	in	in	ADP
ap-6065	131	4	(	(	PUNCT
ap-6065	131	5	3.8	3.8	NUM
ap-6065	131	6	)	)	PUNCT
ap-6065	131	7	are	be	AUX
ap-6065	131	8	called	call	VERB
ap-6065	131	9	the	the	DET
ap-6065	131	10	interior	interior	ADJ
ap-6065	131	11	and	and	CCONJ
ap-6065	131	12	boundary	boundary	ADJ
ap-6065	131	13	penalties	penalty	NOUN
ap-6065	131	14	and	and	CCONJ
ap-6065	131	15	they	they	PRON
ap-6065	131	16	replace	replace	VERB
ap-6065	131	17	the	the	DET
ap-6065	131	18	interelement	interelement	NOUN
ap-6065	131	19	continuity	continuity	NOUN
ap-6065	131	20	of	of	ADP
ap-6065	131	21	approximate	approximate	ADJ
ap-6065	131	22	solution	solution	NOUN
ap-6065	131	23	from	from	ADP
ap-6065	131	24	sτ	sτ	ADP
ap-6065	131	25	,	,	PUNCT
ap-6065	131	26	qh	qh	NOUN
ap-6065	131	27	,	,	PUNCT
ap-6065	131	28	p.	p.	NOUN
ap-6065	131	29	taking	take	VERB
ap-6065	131	30	into	into	ADP
ap-6065	131	31	account	account	NOUN
ap-6065	131	32	(	(	PUNCT
ap-6065	131	33	3.7)–(3.8	3.7)–(3.8	NUM
ap-6065	131	34	)	)	PUNCT
ap-6065	131	35	,	,	PUNCT
ap-6065	131	36	we	we	PRON
ap-6065	131	37	obtain	obtain	VERB
ap-6065	131	38	the	the	DET
ap-6065	131	39	relation	relation	NOUN
ap-6065	131	40	(	(	PUNCT
ap-6065	131	41	∂tϑ(ψ	∂tϑ(ψ	PROPN
ap-6065	131	42	)	)	PUNCT
ap-6065	131	43	,	,	PUNCT
ap-6065	131	44	ϕ)ω	ϕ)ω	X
ap-6065	132	1	+	+	CCONJ
ap-6065	132	2	ah	ah	INTJ
ap-6065	132	3	,	,	PUNCT
ap-6065	132	4	m(ψ	m(ψ	PROPN
ap-6065	132	5	,	,	PUNCT
ap-6065	132	6	ϕ	ϕ	NOUN
ap-6065	132	7	)	)	PUNCT
ap-6065	132	8	=	=	SYM
ap-6065	132	9	0	0	NUM
ap-6065	133	1	∀ϕ	∀ϕ	NUM
ap-6065	133	2	∈	∈	PROPN
ap-6065	133	3	sτ	sτ	NOUN
ap-6065	133	4	,	,	PUNCT
ap-6065	133	5	qh	qh	NOUN
ap-6065	133	6	,	,	PUNCT
ap-6065	133	7	p	p	NOUN
ap-6065	133	8	,	,	PUNCT
ap-6065	133	9	(	(	PUNCT
ap-6065	133	10	3.9	3.9	NUM
ap-6065	133	11	)	)	PUNCT
ap-6065	133	12	where	where	SCONJ
ap-6065	133	13	ah	ah	INTJ
ap-6065	133	14	,	,	PUNCT
ap-6065	133	15	m(ψ	m(ψ	PROPN
ap-6065	133	16	,	,	PUNCT
ap-6065	133	17	ϕ	ϕ	NOUN
ap-6065	133	18	)	)	PUNCT
ap-6065	133	19	:	:	PUNCT
ap-6065	133	20	=	=	SYM
ap-6065	133	21	∑	∑	PUNCT
ap-6065	133	22	k∈th	k∈th	PROPN
ap-6065	133	23	,	,	PUNCT
ap-6065	133	24	m	m	PROPN
ap-6065	133	25	(	(	PUNCT
ap-6065	133	26	k(ψ−	k(ψ−	PROPN
ap-6065	133	27	z)∇ψ,∇ϕ)k	z)∇ψ,∇ϕ)k	PROPN
ap-6065	133	28	(	(	PUNCT
ap-6065	133	29	3.10	3.10	NUM
ap-6065	133	30	)	)	PUNCT
ap-6065	133	31	−	−	NOUN
ap-6065	133	32	∑	∑	PROPN
ap-6065	133	33	γ∈γid	γ∈γid	PROPN
ap-6065	133	34	h	h	NOUN
ap-6065	133	35	,	,	PUNCT
ap-6065	133	36	m	m	VERB
ap-6065	133	37	(	(	PUNCT
ap-6065	133	38	〈	〈	PROPN
ap-6065	133	39	k(ψ−	k(ψ−	PROPN
ap-6065	133	40	z)∇ψ	z)∇ψ	VERB
ap-6065	133	41	〉	〉	PROPN
ap-6065	133	42	·	·	PUNCT
ap-6065	133	43	n	n	CCONJ
ap-6065	133	44	,	,	PUNCT
ap-6065	133	45	[	[	X
ap-6065	133	46	ϕ])γ	ϕ])γ	PROPN
ap-6065	133	47	+	+	CCONJ
ap-6065	133	48	∑	∑	PROPN
ap-6065	133	49	γ∈γi	γ∈γi	PROPN
ap-6065	133	50	h	h	NOUN
ap-6065	133	51	,	,	PUNCT
ap-6065	133	52	m	m	PROPN
ap-6065	133	53	(	(	PUNCT
ap-6065	133	54	σ[ϕ	σ[ϕ	PROPN
ap-6065	133	55	]	]	PUNCT
ap-6065	133	56	,	,	PUNCT
ap-6065	133	57	[	[	X
ap-6065	133	58	ψ])γ	ψ])γ	PROPN
ap-6065	133	59	+	+	CCONJ
ap-6065	133	60	∑	∑	ADJ
ap-6065	133	61	γ∈γd	γ∈γd	ADJ
ap-6065	133	62	h	h	NOUN
ap-6065	133	63	,	,	PUNCT
ap-6065	133	64	m	m	VERB
ap-6065	133	65	(	(	PUNCT
ap-6065	133	66	σϕ,ψ−ψd)γ	σϕ,ψ−ψd)γ	PROPN
ap-6065	133	67	−	−	PROPN
ap-6065	133	68	(	(	PUNCT
ap-6065	133	69	qn	qn	INTJ
ap-6065	133	70	,	,	PUNCT
ap-6065	133	71	ϕ)γn	ϕ)γn	PROPN
ap-6065	133	72	.	.	PUNCT
ap-6065	134	1	let	let	VERB
ap-6065	134	2	us	we	PRON
ap-6065	134	3	note	note	VERB
ap-6065	134	4	that	that	SCONJ
ap-6065	134	5	ψ	ψ	NOUN
ap-6065	134	6	and	and	CCONJ
ap-6065	134	7	ϕ	ϕ	PROPN
ap-6065	134	8	are	be	AUX
ap-6065	134	9	functions	function	NOUN
ap-6065	134	10	of	of	ADP
ap-6065	134	11	x	x	X
ap-6065	134	12	=	=	SYM
ap-6065	134	13	(	(	PUNCT
ap-6065	134	14	x1	x1	PROPN
ap-6065	134	15	,	,	PUNCT
ap-6065	134	16	x2	x2	PROPN
ap-6065	134	17	)	)	PUNCT
ap-6065	134	18	=	=	SYM
ap-6065	135	1	(	(	PUNCT
ap-6065	135	2	x1	x1	PROPN
ap-6065	135	3	,	,	PUNCT
ap-6065	135	4	z	z	NOUN
ap-6065	135	5	)	)	PUNCT
ap-6065	135	6	∈	∈	PROPN
ap-6065	135	7	ω	ω	PROPN
ap-6065	135	8	and	and	CCONJ
ap-6065	135	9	t	t	PROPN
ap-6065	135	10	∈	∈	PROPN
ap-6065	135	11	i.	i.	PROPN
ap-6065	135	12	3.4	3.4	NUM
ap-6065	135	13	.	.	PUNCT
ap-6065	136	1	numerical	numerical	ADJ
ap-6065	136	2	realization	realization	NOUN
ap-6065	136	3	of	of	ADP
ap-6065	136	4	seepage	seepage	NOUN
ap-6065	136	5	face	face	NOUN
ap-6065	136	6	boundary	boundary	NOUN
ap-6065	136	7	(	(	PUNCT
ap-6065	136	8	2.8	2.8	NUM
ap-6065	136	9	)	)	PUNCT
ap-6065	136	10	in	in	ADP
ap-6065	136	11	this	this	DET
ap-6065	136	12	section	section	NOUN
ap-6065	136	13	,	,	PUNCT
ap-6065	136	14	we	we	PRON
ap-6065	136	15	extend	extend	VERB
ap-6065	136	16	the	the	DET
ap-6065	136	17	iipg	iipg	PROPN
ap-6065	136	18	discretization	discretization	NOUN
ap-6065	136	19	of	of	ADP
ap-6065	136	20	(	(	PUNCT
ap-6065	136	21	2.1	2.1	NUM
ap-6065	136	22	)	)	PUNCT
ap-6065	136	23	from	from	ADP
ap-6065	136	24	section	section	NOUN
ap-6065	136	25	3.3	3.3	NUM
ap-6065	136	26	to	to	ADP
ap-6065	136	27	a	a	DET
ap-6065	136	28	general	general	ADJ
ap-6065	136	29	case	case	NOUN
ap-6065	136	30	,	,	PUNCT
ap-6065	136	31	i.e.	i.e.	X
ap-6065	136	32	,	,	PUNCT
ap-6065	136	33	γe	γe	INTJ
ap-6065	136	34	6=	6=	ADP
ap-6065	136	35	∅.	∅.	ADP
ap-6065	136	36	similarly	similarly	ADV
ap-6065	136	37	as	as	ADP
ap-6065	136	38	in	in	ADP
ap-6065	136	39	[	[	NOUN
ap-6065	136	40	23	23	NUM
ap-6065	136	41	]	]	PUNCT
ap-6065	136	42	,	,	PUNCT
ap-6065	136	43	we	we	PRON
ap-6065	136	44	implement	implement	VERB
ap-6065	136	45	condition	condition	NOUN
ap-6065	136	46	(	(	PUNCT
ap-6065	136	47	2.8	2.8	NUM
ap-6065	136	48	)	)	PUNCT
ap-6065	136	49	using	use	VERB
ap-6065	136	50	the	the	DET
ap-6065	136	51	scheme	scheme	NOUN
ap-6065	136	52	if	if	SCONJ
ap-6065	136	53	ψ	ψ	ADP
ap-6065	136	54	<	<	X
ap-6065	136	55	0	0	NUM
ap-6065	136	56	and	and	CCONJ
ap-6065	136	57	∇ψ	∇ψ	PROPN
ap-6065	136	58	·	·	PUNCT
ap-6065	137	1	n	n	CCONJ
ap-6065	137	2	>	>	PUNCT
ap-6065	137	3	0	0	PUNCT
ap-6065	138	1	then	then	ADV
ap-6065	138	2	∇ψ	∇ψ	PROPN
ap-6065	138	3	·	·	PUNCT
ap-6065	138	4	n	n	PROPN
ap-6065	138	5	=	=	SYM
ap-6065	138	6	0	0	NUM
ap-6065	138	7	,	,	PUNCT
ap-6065	138	8	if	if	SCONJ
ap-6065	138	9	ψ	ψ	ADP
ap-6065	138	10	<	<	X
ap-6065	138	11	0	0	NUM
ap-6065	138	12	and	and	CCONJ
ap-6065	138	13	∇ψ	∇ψ	PROPN
ap-6065	138	14	·	·	PUNCT
ap-6065	138	15	n	n	CCONJ
ap-6065	138	16	<	<	X
ap-6065	138	17	0	0	PUNCT
ap-6065	138	18	then	then	ADV
ap-6065	138	19	∇ψ	∇ψ	PROPN
ap-6065	138	20	·	·	PUNCT
ap-6065	138	21	n	n	PROPN
ap-6065	138	22	=	=	SYM
ap-6065	138	23	0	0	NUM
ap-6065	138	24	,	,	PUNCT
ap-6065	138	25	if	if	SCONJ
ap-6065	138	26	ψ	ψ	VERB
ap-6065	138	27	>	>	X
ap-6065	138	28	0	0	PUNCT
ap-6065	138	29	and	and	CCONJ
ap-6065	138	30	∇ψ	∇ψ	PROPN
ap-6065	138	31	·	·	PUNCT
ap-6065	138	32	n	n	CCONJ
ap-6065	138	33	>	>	PUNCT
ap-6065	138	34	0	0	PUNCT
ap-6065	139	1	then	then	ADV
ap-6065	139	2	∇ψ	∇ψ	PROPN
ap-6065	139	3	·	·	PUNCT
ap-6065	139	4	n	n	PROPN
ap-6065	139	5	=	=	SYM
ap-6065	139	6	0	0	NUM
ap-6065	139	7	,	,	PUNCT
ap-6065	139	8	if	if	SCONJ
ap-6065	139	9	ψ	ψ	VERB
ap-6065	139	10	>	>	X
ap-6065	139	11	0	0	PUNCT
ap-6065	139	12	and	and	CCONJ
ap-6065	139	13	∇ψ	∇ψ	PROPN
ap-6065	139	14	·	·	PUNCT
ap-6065	139	15	n	n	CCONJ
ap-6065	139	16	<	<	X
ap-6065	139	17	0	0	X
ap-6065	139	18	then	then	ADV
ap-6065	139	19	ψ	ψ	X
ap-6065	139	20	=	=	NOUN
ap-6065	139	21	0	0	NUM
ap-6065	139	22	,	,	PUNCT
ap-6065	139	23	(	(	PUNCT
ap-6065	139	24	3.11	3.11	NUM
ap-6065	139	25	)	)	PUNCT
ap-6065	139	26	the	the	DET
ap-6065	139	27	quantities	quantity	NOUN
ap-6065	139	28	before	before	ADP
ap-6065	139	29	“	"	PUNCT
ap-6065	139	30	then	then	ADV
ap-6065	139	31	”	"	PUNCT
ap-6065	139	32	are	be	AUX
ap-6065	139	33	taken	take	VERB
ap-6065	139	34	from	from	ADP
ap-6065	139	35	the	the	DET
ap-6065	139	36	interior	interior	NOUN
ap-6065	139	37	of	of	ADP
ap-6065	139	38	ω	ω	PROPN
ap-6065	139	39	and	and	CCONJ
ap-6065	139	40	the	the	DET
ap-6065	139	41	equalities	equality	NOUN
ap-6065	139	42	after	after	ADP
ap-6065	139	43	“	"	PUNCT
ap-6065	139	44	then	then	ADV
ap-6065	139	45	”	"	PUNCT
ap-6065	139	46	correspond	correspond	NOUN
ap-6065	139	47	to	to	ADP
ap-6065	139	48	the	the	DET
ap-6065	139	49	prescribed	prescribed	ADJ
ap-6065	139	50	bcs	bc	NOUN
ap-6065	139	51	.	.	PUNCT
ap-6065	140	1	let	let	VERB
ap-6065	140	2	us	we	PRON
ap-6065	140	3	note	note	VERB
ap-6065	140	4	that	that	SCONJ
ap-6065	140	5	practical	practical	ADJ
ap-6065	140	6	implementation	implementation	NOUN
ap-6065	140	7	of	of	ADP
ap-6065	140	8	(	(	PUNCT
ap-6065	140	9	3.11	3.11	NUM
ap-6065	140	10	)	)	PUNCT
ap-6065	140	11	in	in	ADP
ap-6065	140	12	the	the	DET
ap-6065	140	13	framework	framework	NOUN
ap-6065	140	14	of	of	ADP
ap-6065	140	15	conforming	conform	VERB
ap-6065	140	16	finite	finite	PROPN
ap-6065	140	17	element	element	NOUN
ap-6065	140	18	methods	method	NOUN
ap-6065	140	19	is	be	AUX
ap-6065	140	20	quite	quite	ADV
ap-6065	140	21	difficult	difficult	ADJ
ap-6065	140	22	since	since	SCONJ
ap-6065	140	23	the	the	DET
ap-6065	140	24	finite	finite	ADJ
ap-6065	140	25	element	element	NOUN
ap-6065	140	26	space	space	NOUN
ap-6065	140	27	,	,	PUNCT
ap-6065	140	28	where	where	SCONJ
ap-6065	140	29	the	the	DET
ap-6065	140	30	approximate	approximate	ADJ
ap-6065	140	31	solution	solution	NOUN
ap-6065	140	32	is	be	AUX
ap-6065	140	33	sought	seek	VERB
ap-6065	140	34	,	,	PUNCT
ap-6065	140	35	depends	depend	VERB
ap-6065	140	36	on	on	ADP
ap-6065	140	37	the	the	DET
ap-6065	140	38	dirichlet	dirichlet	PROPN
ap-6065	140	39	part	part	NOUN
ap-6065	140	40	of	of	ADP
ap-6065	140	41	boundary	boundary	ADJ
ap-6065	140	42	γd	γd	ADV
ap-6065	140	43	and	and	CCONJ
ap-6065	140	44	then	then	ADV
ap-6065	140	45	the	the	DET
ap-6065	140	46	realization	realization	NOUN
ap-6065	140	47	of	of	ADP
ap-6065	140	48	(	(	PUNCT
ap-6065	140	49	3.11	3.11	NUM
ap-6065	140	50	)	)	PUNCT
ap-6065	140	51	requires	require	VERB
ap-6065	140	52	frequent	frequent	ADJ
ap-6065	140	53	changes	change	NOUN
ap-6065	140	54	of	of	ADP
ap-6065	140	55	finite	finite	ADJ
ap-6065	140	56	element	element	NOUN
ap-6065	140	57	space	space	NOUN
ap-6065	140	58	.	.	PUNCT
ap-6065	141	1	the	the	DET
ap-6065	141	2	realization	realization	NOUN
ap-6065	141	3	of	of	ADP
ap-6065	141	4	(	(	PUNCT
ap-6065	141	5	3.11	3.11	NUM
ap-6065	141	6	)	)	PUNCT
ap-6065	141	7	using	use	VERB
ap-6065	141	8	the	the	DET
ap-6065	141	9	dg	dg	PROPN
ap-6065	141	10	method	method	NOUN
ap-6065	141	11	is	be	AUX
ap-6065	141	12	much	much	ADV
ap-6065	141	13	easier	easy	ADJ
ap-6065	141	14	.	.	PUNCT
ap-6065	142	1	on	on	ADP
ap-6065	142	2	the	the	DET
ap-6065	142	3	seepage	seepage	NOUN
ap-6065	142	4	face	face	NOUN
ap-6065	142	5	part	part	NOUN
ap-6065	142	6	of	of	ADP
ap-6065	142	7	boundary	boundary	ADJ
ap-6065	142	8	γe	γe	INTJ
ap-6065	142	9	,	,	PUNCT
ap-6065	142	10	we	we	PRON
ap-6065	142	11	define	define	VERB
ap-6065	142	12	a	a	DET
ap-6065	142	13	scalar	scalar	ADJ
ap-6065	142	14	function	function	NOUN
ap-6065	142	15	σ∗	σ∗	NOUN
ap-6065	142	16	:	:	PUNCT
ap-6065	142	17	γe	γe	X
ap-6065	142	18	→	→	SYM
ap-6065	142	19	{	{	PUNCT
ap-6065	142	20	0	0	NUM
ap-6065	142	21	,	,	PUNCT
ap-6065	142	22	1	1	NUM
ap-6065	142	23	}	}	PUNCT
ap-6065	142	24	whose	whose	DET
ap-6065	142	25	role	role	NOUN
ap-6065	142	26	is	be	AUX
ap-6065	142	27	to	to	PART
ap-6065	142	28	switch	switch	VERB
ap-6065	142	29	between	between	ADP
ap-6065	142	30	(	(	PUNCT
ap-6065	142	31	2.8a	2.8a	NOUN
ap-6065	142	32	)	)	PUNCT
ap-6065	142	33	(	(	PUNCT
ap-6065	142	34	neumann	neumann	PROPN
ap-6065	142	35	bc	bc	PROPN
ap-6065	142	36	)	)	PUNCT
ap-6065	142	37	for	for	ADP
ap-6065	142	38	σ∗	σ∗	NOUN
ap-6065	142	39	=	=	SYM
ap-6065	142	40	0	0	NUM
ap-6065	142	41	and	and	CCONJ
ap-6065	142	42	(	(	PUNCT
ap-6065	142	43	2.8b	2.8b	NOUN
ap-6065	142	44	)	)	PUNCT
ap-6065	142	45	(	(	PUNCT
ap-6065	142	46	dirichlet	dirichlet	PROPN
ap-6065	142	47	bc	bc	PROPN
ap-6065	142	48	)	)	PUNCT
ap-6065	142	49	for	for	ADP
ap-6065	142	50	σ∗	σ∗	NOUN
ap-6065	142	51	=	=	SYM
ap-6065	142	52	1	1	X
ap-6065	142	53	.	.	PUNCT
ap-6065	143	1	then	then	ADV
ap-6065	143	2	we	we	PRON
ap-6065	143	3	supplement	supplement	VERB
ap-6065	143	4	the	the	DET
ap-6065	143	5	form	form	NOUN
ap-6065	143	6	(	(	PUNCT
ap-6065	143	7	3.10	3.10	NUM
ap-6065	143	8	)	)	PUNCT
ap-6065	143	9	by	by	ADP
ap-6065	143	10	additional	additional	ADJ
ap-6065	143	11	integrals	integral	NOUN
ap-6065	143	12	over	over	ADP
ap-6065	143	13	γe	γe	NOUN
ap-6065	143	14	in	in	ADP
ap-6065	143	15	the	the	DET
ap-6065	143	16	form	form	NOUN
ap-6065	143	17	ah	ah	INTJ
ap-6065	143	18	,	,	PUNCT
ap-6065	143	19	m(ψ	m(ψ	PROPN
ap-6065	143	20	,	,	PUNCT
ap-6065	143	21	ϕ	ϕ	NOUN
ap-6065	143	22	)	)	PUNCT
ap-6065	143	23	:	:	PUNCT
ap-6065	143	24	=	=	SYM
ap-6065	143	25	∑	∑	PUNCT
ap-6065	143	26	k∈th	k∈th	PROPN
ap-6065	143	27	,	,	PUNCT
ap-6065	143	28	m	m	PROPN
ap-6065	143	29	(	(	PUNCT
ap-6065	143	30	k(ψ−	k(ψ−	PROPN
ap-6065	143	31	z)∇ψ,∇ϕ)k	z)∇ψ,∇ϕ)k	PROPN
ap-6065	143	32	(	(	PUNCT
ap-6065	143	33	3.12	3.12	NUM
ap-6065	143	34	)	)	PUNCT
ap-6065	143	35	−	−	PROPN
ap-6065	143	36	∑	∑	PROPN
ap-6065	143	37	γ∈γid	γ∈γid	PROPN
ap-6065	143	38	h	h	NOUN
ap-6065	143	39	,	,	PUNCT
ap-6065	143	40	m	m	VERB
ap-6065	143	41	(	(	PUNCT
ap-6065	143	42	〈	〈	PROPN
ap-6065	143	43	k(ψ−	k(ψ−	PROPN
ap-6065	143	44	z)∇ψ	z)∇ψ	VERB
ap-6065	143	45	〉	〉	PROPN
ap-6065	143	46	·	·	PUNCT
ap-6065	143	47	n	n	CCONJ
ap-6065	143	48	,	,	PUNCT
ap-6065	143	49	[	[	X
ap-6065	143	50	ϕ])γ	ϕ])γ	PROPN
ap-6065	143	51	−	−	PROPN
ap-6065	143	52	∑	∑	PROPN
ap-6065	143	53	γ∈γe	γ∈γe	PROPN
ap-6065	143	54	h	h	NOUN
ap-6065	143	55	,	,	PUNCT
ap-6065	143	56	m	m	PROPN
ap-6065	143	57	(	(	PUNCT
ap-6065	143	58	σ∗k(ψ−	σ∗k(ψ−	ADJ
ap-6065	143	59	z)∇ψ	z)∇ψ	NOUN
ap-6065	143	60	·	·	PUNCT
ap-6065	143	61	n	n	CCONJ
ap-6065	143	62	,	,	PUNCT
ap-6065	143	63	ϕ)γ	ϕ)γ	X
ap-6065	144	1	+	+	CCONJ
ap-6065	144	2	∑	∑	PROPN
ap-6065	144	3	γ∈γi	γ∈γi	PROPN
ap-6065	144	4	h	h	NOUN
ap-6065	144	5	,	,	PUNCT
ap-6065	144	6	m	m	PROPN
ap-6065	144	7	(	(	PUNCT
ap-6065	144	8	σ[ϕ	σ[ϕ	PROPN
ap-6065	144	9	]	]	PUNCT
ap-6065	144	10	,	,	PUNCT
ap-6065	144	11	[	[	X
ap-6065	144	12	ψ])γ	ψ])γ	PROPN
ap-6065	144	13	+	+	CCONJ
ap-6065	144	14	∑	∑	ADJ
ap-6065	144	15	γ∈γd	γ∈γd	ADJ
ap-6065	144	16	h	h	NOUN
ap-6065	144	17	,	,	PUNCT
ap-6065	144	18	m	m	VERB
ap-6065	144	19	(	(	PUNCT
ap-6065	144	20	σϕ,ψ−ψd)γ	σϕ,ψ−ψd)γ	PROPN
ap-6065	144	21	+	+	CCONJ
ap-6065	144	22	∑	∑	ADV
ap-6065	144	23	γ∈γe	γ∈γe	ADJ
ap-6065	144	24	h	h	NOUN
ap-6065	144	25	,	,	PUNCT
ap-6065	144	26	m	m	PROPN
ap-6065	144	27	(	(	PUNCT
ap-6065	144	28	σ∗σϕ,ψ−	σ∗σϕ,ψ−	PROPN
ap-6065	144	29	z)γ	z)γ	X
ap-6065	144	30	−	−	PROPN
ap-6065	145	1	(	(	PUNCT
ap-6065	145	2	qn	qn	INTJ
ap-6065	145	3	,	,	PUNCT
ap-6065	145	4	ϕ)γn	ϕ)γn	PROPN
ap-6065	145	5	.	.	PUNCT
ap-6065	146	1	form	form	NOUN
ap-6065	146	2	ah	ah	INTJ
ap-6065	146	3	,	,	PUNCT
ap-6065	146	4	m	m	VERB
ap-6065	146	5	from	from	ADP
ap-6065	146	6	(	(	PUNCT
ap-6065	146	7	3.12	3.12	NUM
ap-6065	146	8	)	)	PUNCT
ap-6065	146	9	behaves	behave	NOUN
ap-6065	146	10	in	in	ADP
ap-6065	146	11	the	the	DET
ap-6065	146	12	following	following	ADJ
ap-6065	146	13	way	way	NOUN
ap-6065	146	14	:	:	PUNCT
ap-6065	146	15	let	let	VERB
ap-6065	146	16	ge	ge	PROPN
ap-6065	146	17	⊂	⊂	PROPN
ap-6065	146	18	γe	γe	INTJ
ap-6065	146	19	be	be	AUX
ap-6065	146	20	an	an	DET
ap-6065	146	21	arbitrary	arbitrary	ADJ
ap-6065	146	22	but	but	CCONJ
ap-6065	146	23	fixed	fix	VERB
ap-6065	146	24	part	part	NOUN
ap-6065	146	25	of	of	ADP
ap-6065	146	26	the	the	DET
ap-6065	146	27	seepage	seepage	NOUN
ap-6065	146	28	face	face	NOUN
ap-6065	146	29	boundary	boundary	NOUN
ap-6065	146	30	.	.	PUNCT
ap-6065	147	1	if	if	SCONJ
ap-6065	147	2	σ∗|ge	σ∗|ge	PRON
ap-6065	147	3	=	=	NOUN
ap-6065	147	4	1	1	NUM
ap-6065	147	5	then	then	ADV
ap-6065	147	6	dirichlet	dirichlet	PROPN
ap-6065	147	7	bc	bc	PROPN
ap-6065	147	8	ψ	ψ	PROPN
ap-6065	147	9	=	=	X
ap-6065	147	10	z	z	PROPN
ap-6065	147	11	is	be	AUX
ap-6065	147	12	enforced	enforce	VERB
ap-6065	147	13	on	on	ADP
ap-6065	147	14	ge	ge	PROPN
ap-6065	147	15	.	.	PUNCT
ap-6065	148	1	on	on	ADP
ap-6065	148	2	the	the	DET
ap-6065	148	3	other	other	ADJ
ap-6065	148	4	hand	hand	NOUN
ap-6065	148	5	,	,	PUNCT
ap-6065	148	6	if	if	SCONJ
ap-6065	148	7	σ∗|ge	σ∗|ge	NUM
ap-6065	148	8	=	=	NOUN
ap-6065	148	9	0	0	PUNCT
ap-6065	148	10	then	then	ADV
ap-6065	148	11	the	the	DET
ap-6065	148	12	homogeneous	homogeneous	ADJ
ap-6065	148	13	neumann	neumann	PROPN
ap-6065	148	14	bc	bc	PROPN
ap-6065	148	15	is	be	AUX
ap-6065	148	16	used	use	VERB
ap-6065	148	17	on	on	ADP
ap-6065	148	18	ge	ge	PROPN
ap-6065	148	19	.	.	PUNCT
ap-6065	149	1	now	now	ADV
ap-6065	149	2	,	,	PUNCT
ap-6065	149	3	let	let	VERB
ap-6065	149	4	us	we	PRON
ap-6065	149	5	discuss	discuss	VERB
ap-6065	149	6	the	the	DET
ap-6065	149	7	choice	choice	NOUN
ap-6065	149	8	of	of	ADP
ap-6065	149	9	the	the	DET
ap-6065	149	10	function	function	NOUN
ap-6065	149	11	σ∗	σ∗	VERB
ap-6065	149	12	in	in	ADP
ap-6065	149	13	(	(	PUNCT
ap-6065	149	14	3.12	3.12	NUM
ap-6065	149	15	)	)	PUNCT
ap-6065	149	16	.	.	PUNCT
ap-6065	150	1	in	in	ADP
ap-6065	150	2	virtue	virtue	NOUN
ap-6065	150	3	of	of	ADP
ap-6065	150	4	(	(	PUNCT
ap-6065	150	5	3.11	3.11	NUM
ap-6065	150	6	)	)	PUNCT
ap-6065	150	7	,	,	PUNCT
ap-6065	150	8	we	we	PRON
ap-6065	150	9	set	set	VERB
ap-6065	150	10	σ∗	σ∗	NOUN
ap-6065	150	11	according	accord	VERB
ap-6065	150	12	to	to	ADP
ap-6065	150	13	the	the	DET
ap-6065	150	14	signs	sign	NOUN
ap-6065	150	15	of	of	ADP
ap-6065	150	16	ψ	ψ	NOUN
ap-6065	150	17	and	and	CCONJ
ap-6065	150	18	−k(ψ−	−k(ψ−	ADV
ap-6065	150	19	z)∇ψ	z)∇ψ	NOUN
ap-6065	150	20	·	·	PUNCT
ap-6065	150	21	n	n	CCONJ
ap-6065	150	22	on	on	ADP
ap-6065	150	23	γe	γe	INTJ
ap-6065	150	24	.	.	PUNCT
ap-6065	151	1	therefore	therefore	ADV
ap-6065	151	2	,	,	PUNCT
ap-6065	151	3	we	we	PRON
ap-6065	151	4	define	define	VERB
ap-6065	151	5	σ∗(ψ(x	σ∗(ψ(x	NUM
ap-6065	151	6	,	,	PUNCT
ap-6065	151	7	t	t	PROPN
ap-6065	151	8	)	)	PUNCT
ap-6065	151	9	)	)	PUNCT
ap-6065	152	1	=	=	PRON
ap-6065	152	2	{	{	PUNCT
ap-6065	152	3	1	1	NUM
ap-6065	152	4	if	if	SCONJ
ap-6065	152	5	ψ(x	ψ(x	PROPN
ap-6065	152	6	,	,	PUNCT
ap-6065	152	7	t	t	PROPN
ap-6065	152	8	)	)	PUNCT
ap-6065	152	9	≥	≥	NOUN
ap-6065	152	10	0	0	NUM
ap-6065	152	11	and	and	CCONJ
ap-6065	152	12	∇ψ	∇ψ	PROPN
ap-6065	152	13	·	·	PUNCT
ap-6065	152	14	n	n	CCONJ
ap-6065	152	15	≤	≤	NOUN
ap-6065	152	16	0	0	NUM
ap-6065	152	17	,	,	PUNCT
ap-6065	152	18	0	0	NUM
ap-6065	152	19	otherwise	otherwise	ADV
ap-6065	152	20	.	.	PUNCT
ap-6065	153	1	(	(	PUNCT
ap-6065	153	2	3.13	3.13	NUM
ap-6065	153	3	)	)	PUNCT
ap-6065	153	4	however	however	ADV
ap-6065	153	5	,	,	PUNCT
ap-6065	153	6	this	this	DET
ap-6065	153	7	choice	choice	NOUN
ap-6065	153	8	is	be	AUX
ap-6065	153	9	not	not	PART
ap-6065	153	10	suitable	suitable	ADJ
ap-6065	153	11	from	from	ADP
ap-6065	153	12	the	the	DET
ap-6065	153	13	practical	practical	ADJ
ap-6065	153	14	point	point	NOUN
ap-6065	153	15	of	of	ADP
ap-6065	153	16	view	view	NOUN
ap-6065	153	17	because	because	SCONJ
ap-6065	153	18	the	the	DET
ap-6065	153	19	function	function	NOUN
ap-6065	153	20	σ∗	σ∗	VERB
ap-6065	153	21	only	only	ADV
ap-6065	153	22	admits	admit	VERB
ap-6065	153	23	two	two	NUM
ap-6065	153	24	distinct	distinct	ADJ
ap-6065	153	25	values	value	NOUN
ap-6065	153	26	0	0	NUM
ap-6065	153	27	and	and	CCONJ
ap-6065	153	28	1	1	NUM
ap-6065	153	29	.	.	PUNCT
ap-6065	154	1	as	as	ADP
ap-6065	154	2	a	a	DET
ap-6065	154	3	result	result	NOUN
ap-6065	154	4	,	,	PUNCT
ap-6065	154	5	iterative	iterative	ADJ
ap-6065	154	6	solvers	solver	NOUN
ap-6065	154	7	for	for	ADP
ap-6065	154	8	the	the	DET
ap-6065	154	9	resulting	result	VERB
ap-6065	154	10	algebraic	algebraic	ADJ
ap-6065	154	11	system	system	NOUN
ap-6065	154	12	will	will	AUX
ap-6065	154	13	fail	fail	VERB
ap-6065	154	14	to	to	PART
ap-6065	154	15	converge	converge	VERB
ap-6065	154	16	.	.	PUNCT
ap-6065	155	1	this	this	DET
ap-6065	155	2	unpleasant	unpleasant	ADJ
ap-6065	155	3	effect	effect	NOUN
ap-6065	155	4	can	can	AUX
ap-6065	155	5	be	be	AUX
ap-6065	155	6	suppressed	suppress	VERB
ap-6065	155	7	via	via	ADP
ap-6065	155	8	smoothing	smoothing	NOUN
ap-6065	155	9	of	of	ADP
ap-6065	155	10	σ∗	σ∗	NOUN
ap-6065	155	11	near	near	ADP
ap-6065	155	12	the	the	DET
ap-6065	155	13	transition	transition	NOUN
ap-6065	155	14	from	from	ADP
ap-6065	155	15	σ∗	σ∗	PROPN
ap-6065	155	16	=	=	SYM
ap-6065	155	17	0	0	NUM
ap-6065	155	18	and	and	CCONJ
ap-6065	155	19	σ∗	σ∗	X
ap-6065	155	20	=	=	SYM
ap-6065	155	21	1	1	X
ap-6065	155	22	.	.	PUNCT
ap-6065	156	1	hence	hence	ADV
ap-6065	156	2	,	,	PUNCT
ap-6065	156	3	we	we	PRON
ap-6065	156	4	introduce	introduce	VERB
ap-6065	156	5	transition	transition	NOUN
ap-6065	156	6	regions	region	NOUN
ap-6065	156	7	of	of	ADP
ap-6065	156	8	small	small	ADJ
ap-6065	156	9	widths	width	NOUN
ap-6065	156	10	sph	sph	X
ap-6065	156	11	>	>	X
ap-6065	156	12	0	0	PUNCT
ap-6065	156	13	and	and	CCONJ
ap-6065	156	14	sfl	sfl	PROPN
ap-6065	156	15	>	>	X
ap-6065	156	16	0	0	NUM
ap-6065	156	17	,	,	PUNCT
ap-6065	156	18	and	and	CCONJ
ap-6065	156	19	define	define	VERB
ap-6065	156	20	a	a	DET
ap-6065	156	21	function	function	NOUN
ap-6065	156	22	σ∗h(ψ(x	σ∗h(ψ(x	NOUN
ap-6065	156	23	,	,	PUNCT
ap-6065	156	24	t	t	PROPN
ap-6065	156	25	)	)	PUNCT
ap-6065	156	26	)	)	PUNCT
ap-6065	156	27	which	which	PRON
ap-6065	156	28	is	be	AUX
ap-6065	156	29	continuously	continuously	ADV
ap-6065	156	30	differentiable	differentiable	ADJ
ap-6065	156	31	with	with	ADP
ap-6065	156	32	respect	respect	NOUN
ap-6065	156	33	to	to	ADP
ap-6065	156	34	ψ	ψ	PRON
ap-6065	156	35	.	.	PUNCT
ap-6065	157	1	it	it	PRON
ap-6065	157	2	is	be	AUX
ap-6065	157	3	equal	equal	ADJ
ap-6065	157	4	to	to	ADP
ap-6065	157	5	σ∗	σ∗	PROPN
ap-6065	157	6	if	if	SCONJ
ap-6065	157	7	ψ(x	ψ(x	PROPN
ap-6065	157	8	,	,	PUNCT
ap-6065	157	9	t	t	PROPN
ap-6065	157	10	)	)	PUNCT
ap-6065	157	11	6∈	6∈	NOUN
ap-6065	158	1	[	[	X
ap-6065	158	2	0	0	NUM
ap-6065	158	3	,	,	PUNCT
ap-6065	158	4	sph	sph	PROPN
ap-6065	158	5	]	]	PUNCT
ap-6065	158	6	and	and	CCONJ
ap-6065	158	7	k(ψ−	k(ψ−	PROPN
ap-6065	158	8	z)∇ψ	z)∇ψ	NOUN
ap-6065	158	9	·	·	PUNCT
ap-6065	158	10	n	n	X
ap-6065	158	11	6∈	6∈	NOUN
ap-6065	159	1	[	[	X
ap-6065	159	2	0	0	NUM
ap-6065	159	3	,	,	PUNCT
ap-6065	159	4	sfl	sfl	PROPN
ap-6065	159	5	]	]	PUNCT
ap-6065	159	6	.	.	PUNCT
ap-6065	160	1	in	in	ADP
ap-6065	160	2	order	order	NOUN
ap-6065	160	3	to	to	PART
ap-6065	160	4	ensure	ensure	VERB
ap-6065	160	5	the	the	DET
ap-6065	160	6	consistency	consistency	NOUN
ap-6065	160	7	of	of	ADP
ap-6065	160	8	the	the	DET
ap-6065	160	9	resulting	result	VERB
ap-6065	160	10	numerical	numerical	ADJ
ap-6065	160	11	scheme	scheme	NOUN
ap-6065	160	12	,	,	PUNCT
ap-6065	160	13	the	the	DET
ap-6065	160	14	transition	transition	NOUN
ap-6065	160	15	regions	region	NOUN
ap-6065	160	16	must	must	AUX
ap-6065	160	17	vanish	vanish	VERB
ap-6065	160	18	for	for	ADP
ap-6065	160	19	a	a	DET
ap-6065	160	20	vanishing	vanish	VERB
ap-6065	160	21	mesh	mesh	NOUN
ap-6065	160	22	size	size	NOUN
ap-6065	160	23	.	.	PUNCT
ap-6065	161	1	therefore	therefore	ADV
ap-6065	161	2	we	we	PRON
ap-6065	161	3	define	define	VERB
ap-6065	161	4	62	62	NUM
ap-6065	161	5	vol	vol	NOUN
ap-6065	161	6	.	.	PUNCT
ap-6065	162	1	61	61	NUM
ap-6065	162	2	special	special	ADJ
ap-6065	162	3	issue/2021	issue/2021	NOUN
ap-6065	162	4	numerical	numerical	PROPN
ap-6065	162	5	simulation	simulation	PROPN
ap-6065	162	6	of	of	ADP
ap-6065	162	7	a	a	DET
ap-6065	162	8	single	single	ADJ
ap-6065	162	9	ring	ring	NOUN
ap-6065	162	10	infiltration	infiltration	NOUN
ap-6065	162	11	experiment	experiment	NOUN
ap-6065	162	12	sph|k	sph|k	NOUN
ap-6065	162	13	:	:	PUNCT
ap-6065	162	14	=	=	PROPN
ap-6065	162	15	c1	c1	PROPN
ap-6065	162	16	hk	hk	PROPN
ap-6065	162	17	and	and	CCONJ
ap-6065	162	18	sfl|k	sfl|k	ADV
ap-6065	162	19	:	:	PUNCT
ap-6065	162	20	=	=	SYM
ap-6065	162	21	c2	c2	PROPN
ap-6065	162	22	hk	hk	PROPN
ap-6065	162	23	,	,	PUNCT
ap-6065	162	24	where	where	SCONJ
ap-6065	162	25	c1	c1	PROPN
ap-6065	162	26	>	>	X
ap-6065	162	27	0	0	PUNCT
ap-6065	162	28	and	and	CCONJ
ap-6065	162	29	c2	c2	PROPN
ap-6065	162	30	>	>	X
ap-6065	162	31	0	0	NUM
ap-6065	162	32	are	be	AUX
ap-6065	162	33	empirically	empirically	ADV
ap-6065	162	34	chosen	choose	VERB
ap-6065	162	35	constants	constant	NOUN
ap-6065	162	36	.	.	PUNCT
ap-6065	163	1	typically	typically	ADV
ap-6065	163	2	we	we	PRON
ap-6065	163	3	use	use	VERB
ap-6065	163	4	the	the	DET
ap-6065	163	5	values	value	NOUN
ap-6065	163	6	c1	c1	NOUN
ap-6065	163	7	=	=	PROPN
ap-6065	163	8	c2	c2	PROPN
ap-6065	163	9	=	=	PUNCT
ap-6065	163	10	0.1	0.1	NUM
ap-6065	163	11	.	.	PUNCT
ap-6065	164	1	numerical	numerical	ADJ
ap-6065	164	2	experiments	experiment	NOUN
ap-6065	164	3	show	show	VERB
ap-6065	164	4	that	that	SCONJ
ap-6065	164	5	the	the	DET
ap-6065	164	6	numerical	numerical	ADJ
ap-6065	164	7	scheme	scheme	NOUN
ap-6065	164	8	only	only	ADV
ap-6065	164	9	depends	depend	VERB
ap-6065	164	10	weakly	weakly	ADV
ap-6065	164	11	on	on	ADP
ap-6065	164	12	sph|k	sph|k	NOUN
ap-6065	164	13	and	and	CCONJ
ap-6065	164	14	sfl|k	sfl|k	ADV
ap-6065	164	15	.	.	PUNCT
ap-6065	165	1	finally	finally	ADV
ap-6065	165	2	,	,	PUNCT
ap-6065	165	3	we	we	PRON
ap-6065	165	4	replace	replace	VERB
ap-6065	165	5	σ∗	σ∗	NOUN
ap-6065	165	6	in	in	ADP
ap-6065	165	7	(	(	PUNCT
ap-6065	165	8	3.12	3.12	NUM
ap-6065	165	9	)	)	PUNCT
ap-6065	165	10	with	with	ADP
ap-6065	165	11	σ∗h	σ∗h	NUM
ap-6065	165	12	and	and	CCONJ
ap-6065	165	13	obtain	obtain	VERB
ap-6065	165	14	ah	ah	INTJ
ap-6065	165	15	,	,	PUNCT
ap-6065	165	16	m(ψ	m(ψ	PROPN
ap-6065	165	17	,	,	PUNCT
ap-6065	165	18	ϕ	ϕ	NOUN
ap-6065	165	19	)	)	PUNCT
ap-6065	165	20	:	:	PUNCT
ap-6065	165	21	=	=	SYM
ap-6065	165	22	∑	∑	PUNCT
ap-6065	165	23	k∈th	k∈th	PROPN
ap-6065	165	24	,	,	PUNCT
ap-6065	165	25	m	m	PROPN
ap-6065	165	26	(	(	PUNCT
ap-6065	165	27	k(ψ−	k(ψ−	PROPN
ap-6065	165	28	z)∇ψ,∇ϕ)k	z)∇ψ,∇ϕ)k	PROPN
ap-6065	165	29	(	(	PUNCT
ap-6065	165	30	3.14	3.14	NUM
ap-6065	165	31	)	)	PUNCT
ap-6065	165	32	−	−	PROPN
ap-6065	165	33	∑	∑	PROPN
ap-6065	165	34	γ∈γid	γ∈γid	PROPN
ap-6065	165	35	h	h	NOUN
ap-6065	165	36	,	,	PUNCT
ap-6065	165	37	m	m	VERB
ap-6065	165	38	(	(	PUNCT
ap-6065	165	39	〈	〈	PROPN
ap-6065	165	40	k(ψ−	k(ψ−	PROPN
ap-6065	165	41	z)∇ψ	z)∇ψ	VERB
ap-6065	165	42	〉	〉	PROPN
ap-6065	165	43	·	·	PUNCT
ap-6065	165	44	n	n	CCONJ
ap-6065	165	45	,	,	PUNCT
ap-6065	165	46	[	[	X
ap-6065	165	47	ϕ])γ	ϕ])γ	PROPN
ap-6065	165	48	−	−	PROPN
ap-6065	165	49	∑	∑	PROPN
ap-6065	165	50	γ∈γe	γ∈γe	PROPN
ap-6065	165	51	h	h	NOUN
ap-6065	165	52	,	,	PUNCT
ap-6065	165	53	m	m	PROPN
ap-6065	165	54	(	(	PUNCT
ap-6065	165	55	σ∗h(ψ)k(ψ−	σ∗h(ψ)k(ψ−	ADJ
ap-6065	165	56	z)∇ψ	z)∇ψ	NOUN
ap-6065	165	57	·	·	PUNCT
ap-6065	165	58	n	n	CCONJ
ap-6065	165	59	,	,	PUNCT
ap-6065	165	60	ϕ)γ	ϕ)γ	X
ap-6065	166	1	+	+	CCONJ
ap-6065	166	2	∑	∑	PROPN
ap-6065	166	3	γ∈γi	γ∈γi	PROPN
ap-6065	166	4	h	h	NOUN
ap-6065	166	5	,	,	PUNCT
ap-6065	166	6	m	m	PROPN
ap-6065	166	7	(	(	PUNCT
ap-6065	166	8	σ[ϕ	σ[ϕ	PROPN
ap-6065	166	9	]	]	PUNCT
ap-6065	166	10	,	,	PUNCT
ap-6065	166	11	[	[	X
ap-6065	166	12	ψ])γ	ψ])γ	PROPN
ap-6065	166	13	+	+	CCONJ
ap-6065	166	14	∑	∑	ADJ
ap-6065	166	15	γ∈γd	γ∈γd	ADJ
ap-6065	166	16	h	h	NOUN
ap-6065	166	17	,	,	PUNCT
ap-6065	166	18	m	m	VERB
ap-6065	166	19	(	(	PUNCT
ap-6065	166	20	σϕ,ψ−ψd)γ	σϕ,ψ−ψd)γ	PROPN
ap-6065	166	21	+	+	CCONJ
ap-6065	166	22	∑	∑	ADV
ap-6065	166	23	γ∈γe	γ∈γe	ADJ
ap-6065	166	24	h	h	NOUN
ap-6065	166	25	,	,	PUNCT
ap-6065	166	26	m	m	PROPN
ap-6065	166	27	(	(	PUNCT
ap-6065	166	28	σ∗h(ψ)σϕ,ψ−	σ∗h(ψ)σϕ,ψ−	PROPN
ap-6065	166	29	z)γ	z)γ	PROPN
ap-6065	166	30	−	−	PROPN
ap-6065	167	1	(	(	PUNCT
ap-6065	167	2	qn	qn	INTJ
ap-6065	167	3	,	,	PUNCT
ap-6065	167	4	ϕ)γn	ϕ)γn	PROPN
ap-6065	167	5	.	.	PUNCT
ap-6065	168	1	3.5	3.5	NUM
ap-6065	168	2	.	.	PUNCT
ap-6065	168	3	time	time	NOUN
ap-6065	168	4	discretization	discretization	NOUN
ap-6065	168	5	the	the	DET
ap-6065	168	6	time	time	NOUN
ap-6065	168	7	discretization	discretization	NOUN
ap-6065	168	8	is	be	AUX
ap-6065	168	9	carried	carry	VERB
ap-6065	168	10	out	out	ADP
ap-6065	168	11	using	use	VERB
ap-6065	168	12	the	the	DET
ap-6065	168	13	spacetime	spacetime	NOUN
ap-6065	168	14	discontinuous	discontinuous	ADJ
ap-6065	168	15	galerkin	galerkin	PROPN
ap-6065	168	16	method	method	NOUN
ap-6065	168	17	(	(	PUNCT
ap-6065	168	18	stdgm	stdgm	PROPN
ap-6065	168	19	)	)	PUNCT
ap-6065	168	20	(	(	PUNCT
ap-6065	168	21	see	see	VERB
ap-6065	168	22	[	[	X
ap-6065	168	23	24	24	NUM
ap-6065	168	24	]	]	PUNCT
ap-6065	168	25	)	)	PUNCT
ap-6065	168	26	,	,	PUNCT
ap-6065	168	27	which	which	PRON
ap-6065	168	28	reads	read	VERB
ap-6065	168	29	ah	ah	INTJ
ap-6065	168	30	,	,	PUNCT
ap-6065	168	31	m(ψ	m(ψ	PROPN
ap-6065	168	32	,	,	PUNCT
ap-6065	168	33	ϕ	ϕ	NOUN
ap-6065	168	34	)	)	PUNCT
ap-6065	168	35	=	=	SYM
ap-6065	169	1	0	0	NUM
ap-6065	169	2	∀ϕ	∀ϕ	NUM
ap-6065	169	3	∈	∈	PROPN
ap-6065	169	4	sτ	sτ	NOUN
ap-6065	169	5	,	,	PUNCT
ap-6065	169	6	qh	qh	NOUN
ap-6065	169	7	,	,	PUNCT
ap-6065	169	8	p	p	NOUN
ap-6065	169	9	,	,	PUNCT
ap-6065	169	10	m	m	VERB
ap-6065	169	11	=	=	NOUN
ap-6065	169	12	1	1	NUM
ap-6065	169	13	,	,	PUNCT
ap-6065	169	14	.	.	PUNCT
ap-6065	169	15	.	.	PUNCT
ap-6065	169	16	.	.	PUNCT
ap-6065	170	1	,	,	PUNCT
ap-6065	170	2	r	r	NOUN
ap-6065	170	3	,	,	PUNCT
ap-6065	170	4	(	(	PUNCT
ap-6065	170	5	3.15	3.15	NUM
ap-6065	170	6	)	)	PUNCT
ap-6065	171	1	where	where	SCONJ
ap-6065	171	2	ah	ah	INTJ
ap-6065	171	3	,	,	PUNCT
ap-6065	171	4	m(ψ	m(ψ	PROPN
ap-6065	171	5	,	,	PUNCT
ap-6065	171	6	ϕ	ϕ	NOUN
ap-6065	171	7	)	)	PUNCT
ap-6065	171	8	=	=	SYM
ap-6065	172	1	∫	∫	PROPN
ap-6065	173	1	i	i	PRON
ap-6065	173	2	m	m	VERB
ap-6065	173	3	(	(	PUNCT
ap-6065	173	4	(	(	PUNCT
ap-6065	173	5	∂tϑ(ψ−	∂tϑ(ψ−	PROPN
ap-6065	173	6	z	z	NOUN
ap-6065	173	7	)	)	PUNCT
ap-6065	173	8	,	,	PUNCT
ap-6065	173	9	ϕ)ω	ϕ)ω	X
ap-6065	173	10	+	+	CCONJ
ap-6065	173	11	ah	ah	INTJ
ap-6065	173	12	,	,	PUNCT
ap-6065	173	13	m(ψ	m(ψ	PROPN
ap-6065	173	14	,	,	PUNCT
ap-6065	173	15	ϕ	ϕ	NOUN
ap-6065	173	16	)	)	PUNCT
ap-6065	173	17	)	)	PUNCT
ap-6065	173	18	dt	dt	PUNCT
ap-6065	174	1	+	+	CCONJ
ap-6065	174	2	(	(	PUNCT
ap-6065	174	3	{	{	PUNCT
ap-6065	174	4	ϑ(ψ−	ϑ(ψ−	PROPN
ap-6065	174	5	z)}m−1	z)}m−1	PROPN
ap-6065	174	6	,	,	PUNCT
ap-6065	174	7	ϕ|	ϕ|	PROPN
ap-6065	174	8	+	+	CCONJ
ap-6065	174	9	m−1)ω	m−1)ω	PROPN
ap-6065	174	10	.	.	PUNCT
ap-6065	175	1	(	(	PUNCT
ap-6065	175	2	3.16	3.16	NUM
ap-6065	175	3	)	)	PUNCT
ap-6065	175	4	now	now	ADV
ap-6065	175	5	,	,	PUNCT
ap-6065	175	6	we	we	PRON
ap-6065	175	7	define	define	VERB
ap-6065	175	8	the	the	DET
ap-6065	175	9	final	final	ADJ
ap-6065	175	10	hp	hp	ADJ
ap-6065	175	11	-	-	PUNCT
ap-6065	175	12	space	space	NOUN
ap-6065	175	13	-	-	PUNCT
ap-6065	175	14	time	time	NOUN
ap-6065	175	15	discontinuous	discontinuous	ADJ
ap-6065	175	16	galerkin	galerkin	NOUN
ap-6065	175	17	(	(	PUNCT
ap-6065	175	18	hp	hp	NOUN
ap-6065	175	19	-	-	PUNCT
ap-6065	175	20	stdg	stdg	NOUN
ap-6065	175	21	)	)	PUNCT
ap-6065	175	22	solution	solution	NOUN
ap-6065	175	23	of	of	ADP
ap-6065	175	24	problem	problem	NOUN
ap-6065	175	25	(	(	PUNCT
ap-6065	175	26	2.11	2.11	NUM
ap-6065	175	27	):	):	PUNCT
ap-6065	175	28	definition	definition	NOUN
ap-6065	175	29	3.1	3.1	NUM
ap-6065	175	30	.	.	PUNCT
ap-6065	176	1	let	let	VERB
ap-6065	176	2	ah	ah	INTJ
ap-6065	176	3	,	,	PUNCT
ap-6065	176	4	m	m	VERB
ap-6065	176	5	be	be	AUX
ap-6065	176	6	the	the	DET
ap-6065	176	7	form	form	NOUN
ap-6065	176	8	(	(	PUNCT
ap-6065	176	9	3.16	3.16	NUM
ap-6065	176	10	)	)	PUNCT
ap-6065	176	11	.	.	PUNCT
ap-6065	177	1	the	the	DET
ap-6065	177	2	function	function	NOUN
ap-6065	177	3	ψhτ	ψhτ	PROPN
ap-6065	177	4	∈	∈	PROPN
ap-6065	177	5	sτ	sτ	PROPN
ap-6065	177	6	,	,	PUNCT
ap-6065	177	7	qh	qh	NOUN
ap-6065	177	8	,	,	PUNCT
ap-6065	177	9	p	p	PROPN
ap-6065	177	10	is	be	AUX
ap-6065	177	11	called	call	VERB
ap-6065	177	12	the	the	DET
ap-6065	177	13	approximate	approximate	ADJ
ap-6065	177	14	solution	solution	NOUN
ap-6065	177	15	of	of	ADP
ap-6065	177	16	(	(	PUNCT
ap-6065	177	17	2.11	2.11	NUM
ap-6065	177	18	)	)	PUNCT
ap-6065	177	19	if	if	SCONJ
ap-6065	177	20	ah	ah	INTJ
ap-6065	177	21	,	,	PUNCT
ap-6065	177	22	m(ψhτ	m(ψhτ	PROPN
ap-6065	177	23	,	,	PUNCT
ap-6065	177	24	ϕ	ϕ	PROPN
ap-6065	177	25	)	)	PUNCT
ap-6065	177	26	=	=	SYM
ap-6065	178	1	0	0	NUM
ap-6065	178	2	∀ϕ	∀ϕ	NUM
ap-6065	178	3	∈	∈	PROPN
ap-6065	178	4	sτ	sτ	NOUN
ap-6065	178	5	,	,	PUNCT
ap-6065	178	6	qh	qh	NOUN
ap-6065	178	7	,	,	PUNCT
ap-6065	178	8	p	p	NOUN
ap-6065	178	9	,	,	PUNCT
ap-6065	178	10	m	m	VERB
ap-6065	178	11	=	=	NOUN
ap-6065	178	12	1	1	NUM
ap-6065	178	13	,	,	PUNCT
ap-6065	178	14	.	.	PUNCT
ap-6065	178	15	.	.	PUNCT
ap-6065	178	16	.	.	PUNCT
ap-6065	179	1	,	,	PUNCT
ap-6065	179	2	r	r	NOUN
ap-6065	179	3	(	(	PUNCT
ap-6065	179	4	3.17	3.17	NUM
ap-6065	179	5	)	)	PUNCT
ap-6065	180	1	where	where	SCONJ
ap-6065	180	2	ψhτ	ψhτ	NOUN
ap-6065	180	3	|−0	|−0	PUNCT
ap-6065	180	4	:	:	PUNCT
ap-6065	180	5	=	=	PUNCT
ap-6065	180	6	ψ0	ψ0	ADJ
ap-6065	180	7	,	,	PUNCT
ap-6065	180	8	cf	cf	INTJ
ap-6065	180	9	.	.	PUNCT
ap-6065	180	10	(	(	PUNCT
ap-6065	180	11	2.11e	2.11e	NUM
ap-6065	180	12	)	)	PUNCT
ap-6065	180	13	.	.	PUNCT
ap-6065	181	1	the	the	DET
ap-6065	181	2	term	term	NOUN
ap-6065	181	3	(	(	PUNCT
ap-6065	181	4	{	{	PUNCT
ap-6065	181	5	ϑ(ψ−	ϑ(ψ−	PROPN
ap-6065	181	6	z)}m−1	z)}m−1	PROPN
ap-6065	181	7	,	,	PUNCT
ap-6065	181	8	ϕ|	ϕ|	PROPN
ap-6065	181	9	+	+	CCONJ
ap-6065	181	10	m−1)ω	m−1)ω	X
ap-6065	181	11	in	in	ADP
ap-6065	181	12	(	(	PUNCT
ap-6065	181	13	3.16	3.16	NUM
ap-6065	181	14	)	)	PUNCT
ap-6065	181	15	replaces	replace	VERB
ap-6065	181	16	in	in	ADP
ap-6065	181	17	some	some	DET
ap-6065	181	18	sense	sense	NOUN
ap-6065	181	19	the	the	DET
ap-6065	181	20	interelement	interelement	NOUN
ap-6065	181	21	continuity	continuity	NOUN
ap-6065	181	22	in	in	ADP
ap-6065	181	23	time	time	NOUN
ap-6065	181	24	.	.	PUNCT
ap-6065	182	1	the	the	DET
ap-6065	182	2	approximate	approximate	ADJ
ap-6065	182	3	solutions	solution	NOUN
ap-6065	182	4	on	on	ADP
ap-6065	182	5	two	two	NUM
ap-6065	182	6	subsequent	subsequent	ADJ
ap-6065	182	7	time	time	NOUN
ap-6065	182	8	layers	layer	NOUN
ap-6065	182	9	are	be	AUX
ap-6065	182	10	connected	connect	VERB
ap-6065	182	11	together	together	ADV
ap-6065	182	12	only	only	ADV
ap-6065	182	13	by	by	ADP
ap-6065	182	14	this	this	DET
ap-6065	182	15	term	term	NOUN
ap-6065	182	16	.	.	PUNCT
ap-6065	183	1	a	a	DET
ap-6065	183	2	major	major	ADJ
ap-6065	183	3	advantage	advantage	NOUN
ap-6065	183	4	of	of	ADP
ap-6065	183	5	this	this	DET
ap-6065	183	6	treatment	treatment	NOUN
ap-6065	183	7	is	be	AUX
ap-6065	183	8	that	that	SCONJ
ap-6065	183	9	different	different	ADJ
ap-6065	183	10	grids	grid	NOUN
ap-6065	183	11	(	(	PUNCT
ap-6065	183	12	and	and	CCONJ
ap-6065	183	13	polynomial	polynomial	ADJ
ap-6065	183	14	degrees	degree	NOUN
ap-6065	183	15	pk	pk	NOUN
ap-6065	183	16	,	,	PUNCT
ap-6065	183	17	k	k	PROPN
ap-6065	183	18	∈	∈	PROPN
ap-6065	183	19	th	th	X
ap-6065	183	20	,	,	PUNCT
ap-6065	183	21	m	m	NOUN
ap-6065	183	22	)	)	PUNCT
ap-6065	183	23	can	can	AUX
ap-6065	183	24	be	be	AUX
ap-6065	183	25	used	use	VERB
ap-6065	183	26	in	in	ADP
ap-6065	183	27	each	each	DET
ap-6065	183	28	time	time	NOUN
ap-6065	183	29	interval	interval	NOUN
ap-6065	183	30	separately	separately	ADV
ap-6065	183	31	.	.	PUNCT
ap-6065	184	1	this	this	PRON
ap-6065	184	2	is	be	AUX
ap-6065	184	3	advantageous	advantageous	ADJ
ap-6065	184	4	from	from	ADP
ap-6065	184	5	the	the	DET
ap-6065	184	6	point	point	NOUN
ap-6065	184	7	of	of	ADP
ap-6065	184	8	view	view	NOUN
ap-6065	184	9	of	of	ADP
ap-6065	184	10	adaptive	adaptive	ADJ
ap-6065	184	11	methods	method	NOUN
ap-6065	184	12	.	.	PUNCT
ap-6065	185	1	3.6	3.6	NUM
ap-6065	185	2	.	.	PUNCT
ap-6065	185	3	solution	solution	NOUN
ap-6065	185	4	of	of	ADP
ap-6065	185	5	the	the	DET
ap-6065	185	6	discrete	discrete	ADJ
ap-6065	185	7	problem	problem	NOUN
ap-6065	185	8	the	the	DET
ap-6065	185	9	approximate	approximate	ADJ
ap-6065	185	10	solution	solution	NOUN
ap-6065	185	11	(	(	PUNCT
ap-6065	185	12	3.17	3.17	NUM
ap-6065	185	13	)	)	PUNCT
ap-6065	185	14	represents	represent	VERB
ap-6065	185	15	a	a	DET
ap-6065	185	16	sequence	sequence	NOUN
ap-6065	185	17	of	of	ADP
ap-6065	185	18	r	r	NOUN
ap-6065	185	19	nonlinear	nonlinear	ADJ
ap-6065	185	20	algebraic	algebraic	PROPN
ap-6065	185	21	systems	system	NOUN
ap-6065	185	22	of	of	ADP
ap-6065	185	23	equations	equation	NOUN
ap-6065	185	24	,	,	PUNCT
ap-6065	185	25	one	one	NUM
ap-6065	185	26	system	system	NOUN
ap-6065	185	27	for	for	ADP
ap-6065	185	28	each	each	DET
ap-6065	185	29	m	m	NOUN
ap-6065	185	30	=	=	NOUN
ap-6065	185	31	1	1	NUM
ap-6065	185	32	,	,	PUNCT
ap-6065	185	33	.	.	PUNCT
ap-6065	185	34	.	.	PUNCT
ap-6065	186	1	.	.	PUNCT
ap-6065	187	1	,	,	PUNCT
ap-6065	187	2	r.	r.	VERB
ap-6065	187	3	the	the	DET
ap-6065	187	4	size	size	NOUN
ap-6065	187	5	of	of	ADP
ap-6065	187	6	the	the	DET
ap-6065	187	7	system	system	NOUN
ap-6065	187	8	(=	(=	ADP
ap-6065	187	9	number	number	NOUN
ap-6065	187	10	of	of	ADP
ap-6065	187	11	degrees	degree	NOUN
ap-6065	187	12	of	of	ADP
ap-6065	187	13	freedom	freedom	NOUN
ap-6065	187	14	)	)	PUNCT
ap-6065	187	15	is	be	AUX
ap-6065	187	16	equal	equal	ADJ
ap-6065	187	17	to	to	ADP
ap-6065	187	18	the	the	DET
ap-6065	187	19	dimension	dimension	NOUN
ap-6065	187	20	of	of	ADP
ap-6065	187	21	the	the	DET
ap-6065	187	22	space	space	NOUN
ap-6065	187	23	sτ	sτ	NOUN
ap-6065	187	24	,	,	PUNCT
ap-6065	187	25	qm	qm	PROPN
ap-6065	187	26	,	,	PUNCT
ap-6065	187	27	h	h	NOUN
ap-6065	187	28	,	,	PUNCT
ap-6065	187	29	p	p	NOUN
ap-6065	187	30	and	and	CCONJ
ap-6065	187	31	it	it	PRON
ap-6065	187	32	changes	change	VERB
ap-6065	187	33	for	for	ADP
ap-6065	187	34	m	m	NOUN
ap-6065	187	35	=	=	SYM
ap-6065	187	36	1	1	NUM
ap-6065	187	37	,	,	PUNCT
ap-6065	187	38	.	.	PUNCT
ap-6065	187	39	.	.	PUNCT
ap-6065	188	1	.	.	PUNCT
ap-6065	189	1	,	,	PUNCT
ap-6065	189	2	r.	r.	PROPN
ap-6065	189	3	the	the	DET
ap-6065	189	4	system	system	NOUN
ap-6065	189	5	is	be	AUX
ap-6065	189	6	solved	solve	VERB
ap-6065	189	7	using	use	VERB
ap-6065	189	8	the	the	DET
ap-6065	189	9	anderson	anderson	PROPN
ap-6065	189	10	acceleration	acceleration	PROPN
ap-6065	189	11	method	method	NOUN
ap-6065	189	12	[	[	X
ap-6065	189	13	25	25	NUM
ap-6065	189	14	]	]	PUNCT
ap-6065	189	15	.	.	PUNCT
ap-6065	190	1	the	the	DET
ap-6065	190	2	stopping	stopping	NOUN
ap-6065	190	3	criteria	criterion	NOUN
ap-6065	190	4	and	and	CCONJ
ap-6065	190	5	the	the	DET
ap-6065	190	6	choice	choice	NOUN
ap-6065	190	7	of	of	ADP
ap-6065	190	8	the	the	DET
ap-6065	190	9	time	time	NOUN
ap-6065	190	10	step	step	NOUN
ap-6065	190	11	are	be	AUX
ap-6065	190	12	controlled	control	VERB
ap-6065	190	13	in	in	ADP
ap-6065	190	14	such	such	DET
ap-6065	190	15	a	a	DET
ap-6065	190	16	way	way	NOUN
ap-6065	190	17	that	that	PRON
ap-6065	190	18	the	the	DET
ap-6065	190	19	errors	error	NOUN
ap-6065	190	20	arising	arise	VERB
ap-6065	190	21	due	due	ADP
ap-6065	190	22	to	to	ADP
ap-6065	190	23	the	the	DET
ap-6065	190	24	space	space	NOUN
ap-6065	190	25	discretization	discretization	NOUN
ap-6065	190	26	,	,	PUNCT
ap-6065	190	27	time	time	NOUN
ap-6065	190	28	discretization	discretization	NOUN
ap-6065	190	29	,	,	PUNCT
ap-6065	190	30	and	and	CCONJ
ap-6065	190	31	iterative	iterative	NOUN
ap-6065	190	32	solution	solution	NOUN
ap-6065	190	33	of	of	ADP
ap-6065	190	34	nonlinear	nonlinear	ADJ
ap-6065	190	35	algebraic	algebraic	PROPN
ap-6065	190	36	systems	system	NOUN
ap-6065	190	37	are	be	AUX
ap-6065	190	38	balanced	balanced	ADJ
ap-6065	190	39	.	.	PUNCT
ap-6065	191	1	the	the	DET
ap-6065	191	2	meshes	mesh	NOUN
ap-6065	191	3	and	and	CCONJ
ap-6065	191	4	polynomial	polynomial	ADJ
ap-6065	191	5	degrees	degree	NOUN
ap-6065	191	6	are	be	AUX
ap-6065	191	7	chosen	choose	VERB
ap-6065	191	8	adaptively	adaptively	ADV
ap-6065	191	9	using	use	VERB
ap-6065	191	10	a	a	DET
ap-6065	191	11	technique	technique	NOUN
ap-6065	191	12	introduced	introduce	VERB
ap-6065	191	13	in	in	ADP
ap-6065	191	14	[	[	X
ap-6065	191	15	26	26	NUM
ap-6065	191	16	,	,	PUNCT
ap-6065	191	17	27	27	NUM
ap-6065	191	18	]	]	PUNCT
ap-6065	191	19	.	.	PUNCT
ap-6065	192	1	using	use	VERB
ap-6065	192	2	a	a	DET
ap-6065	192	3	higher	high	ADJ
ap-6065	192	4	order	order	NOUN
ap-6065	192	5	reconstruction	reconstruction	NOUN
ap-6065	192	6	of	of	ADP
ap-6065	192	7	the	the	DET
ap-6065	192	8	computed	compute	VERB
ap-6065	192	9	approximate	approximate	ADJ
ap-6065	192	10	solution	solution	NOUN
ap-6065	192	11	,	,	PUNCT
ap-6065	192	12	this	this	DET
ap-6065	192	13	technique	technique	NOUN
ap-6065	192	14	proposes	propose	VERB
ap-6065	192	15	new	new	ADJ
ap-6065	192	16	sizes	size	NOUN
ap-6065	192	17	and	and	CCONJ
ap-6065	192	18	shapes	shape	NOUN
ap-6065	192	19	of	of	ADP
ap-6065	192	20	mesh	mesh	NOUN
ap-6065	192	21	elements	element	NOUN
ap-6065	192	22	,	,	PUNCT
ap-6065	192	23	as	as	ADV
ap-6065	192	24	well	well	ADV
ap-6065	192	25	as	as	ADP
ap-6065	192	26	the	the	DET
ap-6065	192	27	corresponding	corresponding	ADJ
ap-6065	192	28	polynomial	polynomial	ADJ
ap-6065	192	29	degrees	degree	NOUN
ap-6065	192	30	.	.	PUNCT
ap-6065	193	1	the	the	DET
ap-6065	193	2	basic	basic	ADJ
ap-6065	193	3	idea	idea	NOUN
ap-6065	193	4	of	of	ADP
ap-6065	193	5	the	the	DET
ap-6065	193	6	mesh	mesh	NOUN
ap-6065	193	7	adaptation	adaptation	NOUN
ap-6065	193	8	algorithm	algorithm	NOUN
ap-6065	193	9	is	be	AUX
ap-6065	193	10	to	to	PART
ap-6065	193	11	minimize	minimize	VERB
ap-6065	193	12	the	the	DET
ap-6065	193	13	number	number	NOUN
ap-6065	193	14	of	of	ADP
ap-6065	193	15	degrees	degree	NOUN
ap-6065	193	16	of	of	ADP
ap-6065	193	17	freedom	freedom	NOUN
ap-6065	193	18	on	on	ADP
ap-6065	193	19	the	the	DET
ap-6065	193	20	prescribed	prescribed	ADJ
ap-6065	193	21	tolerance	tolerance	NOUN
ap-6065	193	22	level	level	NOUN
ap-6065	193	23	for	for	ADP
ap-6065	193	24	the	the	DET
ap-6065	193	25	interpolation	interpolation	NOUN
ap-6065	193	26	error	error	NOUN
ap-6065	193	27	measured	measure	VERB
ap-6065	193	28	in	in	ADP
ap-6065	193	29	the	the	DET
ap-6065	193	30	h1(ω)-seminorm	h1(ω)-seminorm	NOUN
ap-6065	193	31	.	.	PROPN
ap-6065	194	1	4	4	NUM
ap-6065	194	2	.	.	X
ap-6065	194	3	sr	sr	PROPN
ap-6065	194	4	experiment	experiment	NOUN
ap-6065	194	5	setup	setup	NOUN
ap-6065	194	6	the	the	DET
ap-6065	194	7	proposed	propose	VERB
ap-6065	194	8	sr	sr	PROPN
ap-6065	194	9	experiment	experiment	NOUN
ap-6065	194	10	is	be	AUX
ap-6065	194	11	depicted	depict	VERB
ap-6065	194	12	in	in	ADP
ap-6065	194	13	fig	fig	NOUN
ap-6065	194	14	.	.	PUNCT
ap-6065	195	1	2	2	X
ap-6065	195	2	.	.	X
ap-6065	195	3	the	the	DET
ap-6065	195	4	ring	ring	NOUN
ap-6065	195	5	is	be	AUX
ap-6065	195	6	located	locate	VERB
ap-6065	195	7	in	in	ADP
ap-6065	195	8	the	the	DET
ap-6065	195	9	vicinity	vicinity	NOUN
ap-6065	195	10	of	of	ADP
ap-6065	195	11	a	a	DET
ap-6065	195	12	hillside	hillside	NOUN
ap-6065	195	13	,	,	PUNCT
ap-6065	195	14	which	which	PRON
ap-6065	195	15	is	be	AUX
ap-6065	195	16	a	a	DET
ap-6065	195	17	typical	typical	ADJ
ap-6065	195	18	application	application	NOUN
ap-6065	195	19	for	for	ADP
ap-6065	195	20	the	the	DET
ap-6065	195	21	seepage	seepage	NOUN
ap-6065	195	22	face	face	NOUN
ap-6065	195	23	boundary	boundary	NOUN
ap-6065	195	24	discussed	discuss	VERB
ap-6065	195	25	in	in	ADP
ap-6065	195	26	this	this	DET
ap-6065	195	27	paper	paper	NOUN
ap-6065	195	28	.	.	PUNCT
ap-6065	196	1	the	the	DET
ap-6065	196	2	porous	porous	ADJ
ap-6065	196	3	environment	environment	NOUN
ap-6065	196	4	is	be	AUX
ap-6065	196	5	anisotropic	anisotropic	NOUN
ap-6065	196	6	,	,	PUNCT
ap-6065	196	7	with	with	ADP
ap-6065	196	8	layers	layer	NOUN
ap-6065	196	9	inclined	incline	VERB
ap-6065	196	10	into	into	ADP
ap-6065	196	11	the	the	DET
ap-6065	196	12	hillside	hillside	NOUN
ap-6065	196	13	.	.	PUNCT
ap-6065	197	1	such	such	ADJ
ap-6065	197	2	experimental	experimental	ADJ
ap-6065	197	3	setup	setup	NOUN
ap-6065	197	4	was	be	AUX
ap-6065	197	5	chosen	choose	VERB
ap-6065	197	6	to	to	PART
ap-6065	197	7	combine	combine	VERB
ap-6065	197	8	the	the	DET
ap-6065	197	9	effects	effect	NOUN
ap-6065	197	10	of	of	ADP
ap-6065	197	11	a	a	DET
ap-6065	197	12	moving	move	VERB
ap-6065	197	13	wetting	wet	VERB
ap-6065	197	14	front	front	NOUN
ap-6065	197	15	,	,	PUNCT
ap-6065	197	16	seepage	seepage	NOUN
ap-6065	197	17	face	face	NOUN
ap-6065	197	18	boundary	boundary	NOUN
ap-6065	197	19	,	,	PUNCT
ap-6065	197	20	and	and	CCONJ
ap-6065	197	21	discontinuous	discontinuous	ADJ
ap-6065	197	22	flow	flow	NOUN
ap-6065	197	23	domain	domain	NOUN
ap-6065	197	24	.	.	PUNCT
ap-6065	198	1	the	the	DET
ap-6065	198	2	domain	domain	NOUN
ap-6065	198	3	is	be	AUX
ap-6065	198	4	illustrated	illustrate	VERB
ap-6065	198	5	in	in	ADP
ap-6065	198	6	the	the	DET
ap-6065	198	7	left	left	ADJ
ap-6065	198	8	part	part	NOUN
ap-6065	198	9	of	of	ADP
ap-6065	198	10	fig	fig	NOUN
ap-6065	198	11	.	.	PUNCT
ap-6065	199	1	2	2	X
ap-6065	199	2	.	.	X
ap-6065	199	3	the	the	DET
ap-6065	199	4	initial	initial	ADJ
ap-6065	199	5	and	and	CCONJ
ap-6065	199	6	boundary	boundary	ADJ
ap-6065	199	7	conditions	condition	NOUN
ap-6065	199	8	are	be	AUX
ap-6065	199	9	given	give	VERB
ap-6065	199	10	as	as	ADP
ap-6065	199	11	:	:	PUNCT
ap-6065	199	12	γ1	γ1	NOUN
ap-6065	199	13	(=	(=	AUX
ap-6065	199	14	:	:	PUNCT
ap-6065	199	15	γn	γn	X
ap-6065	199	16	)	)	PUNCT
ap-6065	199	17	no	no	DET
ap-6065	199	18	flow	flow	NOUN
ap-6065	199	19	boundary	boundary	NOUN
ap-6065	199	20	∂ψ	∂ψ	PROPN
ap-6065	200	1	∂~n	∂~n	PROPN
ap-6065	200	2	=	=	SYM
ap-6065	200	3	0	0	NUM
ap-6065	200	4	,	,	PUNCT
ap-6065	200	5	∀(x	∀(x	PRON
ap-6065	200	6	,	,	PUNCT
ap-6065	200	7	t	t	PROPN
ap-6065	200	8	)	)	PUNCT
ap-6065	200	9	∈	∈	PROPN
ap-6065	200	10	γ1	γ1	PROPN
ap-6065	200	11	×	×	PROPN
ap-6065	200	12	t	t	PROPN
ap-6065	200	13	∈	∈	PROPN
ap-6065	201	1	[	[	X
ap-6065	201	2	0	0	NUM
ap-6065	201	3	,	,	PUNCT
ap-6065	201	4	t	t	NOUN
ap-6065	201	5	)	)	PUNCT
ap-6065	201	6	γ2	γ2	PROPN
ap-6065	201	7	(=	(=	NOUN
ap-6065	201	8	:	:	PUNCT
ap-6065	201	9	γd	γd	X
ap-6065	201	10	)	)	PUNCT
ap-6065	201	11	ponding	ponde	VERB
ap-6065	201	12	depth	depth	NOUN
ap-6065	201	13	5	5	NUM
ap-6065	201	14	cm	cm	NOUN
ap-6065	201	15	ψ(x	ψ(x	PROPN
ap-6065	201	16	,	,	PUNCT
ap-6065	201	17	t	t	PROPN
ap-6065	201	18	)	)	PUNCT
ap-6065	201	19	=	=	NOUN
ap-6065	202	1	0.05	0.05	NUM
ap-6065	202	2	+	+	CCONJ
ap-6065	202	3	z	z	PROPN
ap-6065	202	4	,	,	PUNCT
ap-6065	202	5	∀(x	∀(x	PROPN
ap-6065	202	6	,	,	PUNCT
ap-6065	202	7	t	t	PROPN
ap-6065	202	8	)	)	PUNCT
ap-6065	202	9	∈	∈	PROPN
ap-6065	202	10	γ2	γ2	PROPN
ap-6065	202	11	×	×	PROPN
ap-6065	202	12	t	t	X
ap-6065	202	13	∈	∈	PROPN
ap-6065	203	1	[	[	X
ap-6065	203	2	0	0	NUM
ap-6065	203	3	,	,	PUNCT
ap-6065	203	4	t	t	NOUN
ap-6065	203	5	)	)	PUNCT
ap-6065	203	6	γ3	γ3	NOUN
ap-6065	203	7	(=	(=	NOUN
ap-6065	203	8	:	:	PUNCT
ap-6065	203	9	γe	γe	X
ap-6065	203	10	)	)	PUNCT
ap-6065	203	11	seepage	seepage	NOUN
ap-6065	203	12	face	face	NOUN
ap-6065	203	13	,	,	PUNCT
ap-6065	203	14	cf	cf	INTJ
ap-6065	203	15	.	.	PUNCT
ap-6065	204	1	(	(	PUNCT
ap-6065	204	2	2.7	2.7	NUM
ap-6065	204	3	)	)	PUNCT
ap-6065	204	4	and	and	CCONJ
ap-6065	204	5	section	section	NOUN
ap-6065	204	6	3.4	3.4	NUM
ap-6065	204	7	.	.	PUNCT
ap-6065	205	1	this	this	PRON
ap-6065	205	2	is	be	AUX
ap-6065	205	3	shown	show	VERB
ap-6065	205	4	in	in	ADP
ap-6065	205	5	the	the	DET
ap-6065	205	6	right	right	ADJ
ap-6065	205	7	part	part	NOUN
ap-6065	205	8	of	of	ADP
ap-6065	205	9	fig	fig	NOUN
ap-6065	205	10	.	.	PUNCT
ap-6065	206	1	2	2	X
ap-6065	206	2	.	.	X
ap-6065	206	3	the	the	DET
ap-6065	206	4	origin	origin	NOUN
ap-6065	206	5	of	of	ADP
ap-6065	206	6	the	the	DET
ap-6065	206	7	coordinate	coordinate	NOUN
ap-6065	206	8	system	system	NOUN
ap-6065	206	9	is	be	AUX
ap-6065	206	10	located	locate	VERB
ap-6065	206	11	at	at	ADP
ap-6065	206	12	the	the	DET
ap-6065	206	13	left	left	ADJ
ap-6065	206	14	-	-	PUNCT
ap-6065	206	15	bottom	bottom	NOUN
ap-6065	206	16	corner	corner	NOUN
ap-6065	206	17	of	of	ADP
ap-6065	206	18	the	the	DET
ap-6065	206	19	domain	domain	NOUN
ap-6065	206	20	.	.	PUNCT
ap-6065	207	1	the	the	DET
ap-6065	207	2	initial	initial	ADJ
ap-6065	207	3	condition	condition	NOUN
ap-6065	207	4	is	be	AUX
ap-6065	207	5	a	a	DET
ap-6065	207	6	hydrostatic	hydrostatic	ADJ
ap-6065	207	7	state	state	NOUN
ap-6065	207	8	with	with	ADP
ap-6065	207	9	zero	zero	NUM
ap-6065	207	10	capillary	capillary	ADJ
ap-6065	207	11	pressure	pressure	NOUN
ap-6065	207	12	at	at	ADP
ap-6065	207	13	the	the	DET
ap-6065	207	14	impermeable	impermeable	ADJ
ap-6065	207	15	bottom	bottom	NOUN
ap-6065	207	16	,	,	PUNCT
ap-6065	207	17	ψ(x	ψ(x	PROPN
ap-6065	207	18	,	,	PUNCT
ap-6065	207	19	t0	t0	NOUN
ap-6065	207	20	)	)	PUNCT
ap-6065	208	1	=	=	SYM
ap-6065	208	2	−2	−2	PROPN
ap-6065	208	3	m	m	ADP
ap-6065	208	4	,	,	PUNCT
ap-6065	208	5	∀x	∀x	VERB
ap-6065	208	6	∈	∈	PROPN
ap-6065	208	7	ω	ω	NOUN
ap-6065	208	8	.	.	PUNCT
ap-6065	209	1	(	(	PUNCT
ap-6065	209	2	4.1	4.1	NUM
ap-6065	209	3	)	)	PUNCT
ap-6065	209	4	the	the	DET
ap-6065	209	5	soil	soil	NOUN
ap-6065	209	6	hydraulic	hydraulic	NOUN
ap-6065	209	7	properties	property	NOUN
ap-6065	209	8	were	be	AUX
ap-6065	209	9	assumed	assume	VERB
ap-6065	209	10	as	as	SCONJ
ap-6065	209	11	follows	follow	VERB
ap-6065	209	12	:	:	PUNCT
ap-6065	209	13	α	α	X
ap-6065	209	14	=	=	PUNCT
ap-6065	209	15	0.8	0.8	NUM
ap-6065	209	16	m−1	m−1	PROPN
ap-6065	209	17	,	,	PUNCT
ap-6065	209	18	n	n	NOUN
ap-6065	209	19	=	=	SYM
ap-6065	209	20	1.2	1.2	NUM
ap-6065	209	21	,	,	PUNCT
ap-6065	209	22	m	m	VERB
ap-6065	209	23	=	=	NOUN
ap-6065	209	24	0.167	0.167	NUM
ap-6065	209	25	,	,	PUNCT
ap-6065	209	26	θs	θ	NOUN
ap-6065	209	27	=	=	SYM
ap-6065	209	28	0.55	0.55	NUM
ap-6065	209	29	,	,	PUNCT
ap-6065	209	30	θr	θr	NOUN
ap-6065	209	31	=	=	SYM
ap-6065	209	32	0	0	NUM
ap-6065	209	33	,	,	PUNCT
ap-6065	209	34	ss	ss	NOUN
ap-6065	209	35	=	=	PROPN
ap-6065	209	36	10−3	10−3	NUM
ap-6065	209	37	m−1	m−1	PROPN
ap-6065	209	38	.	.	PUNCT
ap-6065	210	1	soil	soil	NOUN
ap-6065	210	2	properties	property	NOUN
ap-6065	210	3	were	be	AUX
ap-6065	210	4	assumed	assume	VERB
ap-6065	210	5	here	here	ADV
ap-6065	210	6	to	to	PART
ap-6065	210	7	be	be	AUX
ap-6065	210	8	anisotropic	anisotropic	NOUN
ap-6065	210	9	with	with	ADP
ap-6065	210	10	rotated	rotate	VERB
ap-6065	210	11	main	main	ADJ
ap-6065	210	12	axes	axis	NOUN
ap-6065	210	13	of	of	ADP
ap-6065	210	14	anisotropy	anisotropy	NOUN
ap-6065	210	15	as	as	SCONJ
ap-6065	210	16	depicted	depict	VERB
ap-6065	210	17	on	on	ADP
ap-6065	210	18	fig	fig	NOUN
ap-6065	210	19	.	.	PUNCT
ap-6065	211	1	3	3	X
ap-6065	211	2	.	.	X
ap-6065	211	3	the	the	DET
ap-6065	211	4	rotation	rotation	NOUN
ap-6065	211	5	angle	angle	NOUN
ap-6065	211	6	αxx′	αxx′	NOUN
ap-6065	211	7	was	be	AUX
ap-6065	211	8	-30	-30	NOUN
ap-6065	211	9	◦	◦	NOUN
ap-6065	211	10	,	,	PUNCT
ap-6065	211	11	and	and	CCONJ
ap-6065	211	12	so	so	ADV
ap-6065	211	13	the	the	DET
ap-6065	211	14	layers	layer	NOUN
ap-6065	211	15	were	be	AUX
ap-6065	211	16	inclined	incline	VERB
ap-6065	211	17	into	into	ADP
ap-6065	211	18	the	the	DET
ap-6065	211	19	hillslope	hillslope	NOUN
ap-6065	211	20	.	.	PUNCT
ap-6065	212	1	kx′	kx′	PROPN
ap-6065	212	2	was	be	AUX
ap-6065	212	3	63	63	NUM
ap-6065	212	4	v.	v.	ADP
ap-6065	212	5	dolejší	dolejší	NOUN
ap-6065	212	6	,	,	PUNCT
ap-6065	212	7	m.	m.	NOUN
ap-6065	212	8	kuráž	kuráž	PROPN
ap-6065	212	9	,	,	PUNCT
ap-6065	212	10	p.	p.	PROPN
ap-6065	212	11	solin	solin	PROPN
ap-6065	212	12	acta	acta	PROPN
ap-6065	212	13	polytechnica	polytechnica	PROPN
ap-6065	212	14	figure	figure	NOUN
ap-6065	212	15	2	2	NUM
ap-6065	212	16	.	.	PUNCT
ap-6065	212	17	scheme	scheme	NOUN
ap-6065	212	18	of	of	ADP
ap-6065	212	19	the	the	DET
ap-6065	212	20	single	single	ADJ
ap-6065	212	21	ring	ring	NOUN
ap-6065	212	22	infiltration	infiltration	NOUN
ap-6065	212	23	experiment	experiment	NOUN
ap-6065	212	24	.	.	PUNCT
ap-6065	213	1	figure	figure	NOUN
ap-6065	213	2	3	3	NUM
ap-6065	213	3	.	.	NOUN
ap-6065	213	4	example	example	NOUN
ap-6065	213	5	of	of	ADP
ap-6065	213	6	rotated	rotate	VERB
ap-6065	213	7	main	main	ADJ
ap-6065	213	8	axes	axis	NOUN
ap-6065	213	9	of	of	ADP
ap-6065	213	10	anisotropy	anisotropy	NOUN
ap-6065	213	11	of	of	ADP
ap-6065	213	12	hydraulic	hydraulic	ADJ
ap-6065	213	13	conductivity	conductivity	NOUN
ap-6065	213	14	,	,	PUNCT
ap-6065	213	15	obtained	obtain	VERB
ap-6065	213	16	from	from	ADP
ap-6065	213	17	[	[	X
ap-6065	213	18	28	28	NUM
ap-6065	213	19	]	]	PUNCT
ap-6065	213	20	.	.	PUNCT
ap-6065	214	1	assumed	assume	VERB
ap-6065	214	2	to	to	PART
ap-6065	214	3	be	be	AUX
ap-6065	214	4	ten	ten	NUM
ap-6065	214	5	times	time	NOUN
ap-6065	214	6	greater	great	ADJ
ap-6065	214	7	than	than	ADP
ap-6065	214	8	kz′	kz′	ADV
ap-6065	214	9	.	.	PUNCT
ap-6065	215	1	the	the	DET
ap-6065	215	2	resulting	result	VERB
ap-6065	215	3	tensor	tensor	NOUN
ap-6065	215	4	of	of	ADP
ap-6065	215	5	anisotropy	anisotropy	NOUN
ap-6065	215	6	of	of	ADP
ap-6065	215	7	saturated	saturate	VERB
ap-6065	215	8	hydraulic	hydraulic	ADJ
ap-6065	215	9	conductivity	conductivity	NOUN
ap-6065	215	10	for	for	ADP
ap-6065	215	11	our	our	PRON
ap-6065	215	12	global	global	ADJ
ap-6065	215	13	system	system	NOUN
ap-6065	215	14	of	of	ADP
ap-6065	215	15	coordinates	coordinate	NOUN
ap-6065	215	16	was	be	AUX
ap-6065	215	17	ks	ks	NOUN
ap-6065	215	18	=	=	PUNCT
ap-6065	215	19	(	(	PUNCT
ap-6065	215	20	1.031×	1.031×	NUM
ap-6065	215	21	10−4	10−4	NUM
ap-6065	215	22	−5.187×	−5.187×	SYM
ap-6065	215	23	10−5	10−5	NUM
ap-6065	215	24	−5.187×	−5.187×	SYM
ap-6065	215	25	10−5	10−5	NUM
ap-6065	215	26	4.323×	4.323×	NUM
ap-6065	215	27	10−5	10−5	NUM
ap-6065	215	28	)	)	PUNCT
ap-6065	215	29	m.s−1	m.s−1	NUM
ap-6065	215	30	.	.	PUNCT
ap-6065	216	1	please	please	INTJ
ap-6065	216	2	note	note	VERB
ap-6065	216	3	that	that	SCONJ
ap-6065	216	4	the	the	DET
ap-6065	216	5	example	example	NOUN
ap-6065	216	6	presented	present	VERB
ap-6065	216	7	here	here	ADV
ap-6065	216	8	is	be	AUX
ap-6065	216	9	purely	purely	ADV
ap-6065	216	10	synthetic	synthetic	ADJ
ap-6065	216	11	.	.	PUNCT
ap-6065	217	1	4.1	4.1	NUM
ap-6065	217	2	.	.	PUNCT
ap-6065	217	3	numerical	numerical	PROPN
ap-6065	217	4	results	result	NOUN
ap-6065	217	5	fig	fig	NOUN
ap-6065	217	6	.	.	PUNCT
ap-6065	218	1	4	4	NUM
ap-6065	218	2	presents	present	VERB
ap-6065	218	3	the	the	DET
ap-6065	218	4	approximate	approximate	ADJ
ap-6065	218	5	solution	solution	NOUN
ap-6065	218	6	(	(	PUNCT
ap-6065	218	7	hydraulic	hydraulic	ADJ
ap-6065	218	8	head	head	NOUN
ap-6065	218	9	)	)	PUNCT
ap-6065	218	10	for	for	ADP
ap-6065	218	11	different	different	ADJ
ap-6065	218	12	time	time	NOUN
ap-6065	218	13	levels	level	NOUN
ap-6065	218	14	as	as	ADV
ap-6065	218	15	well	well	ADV
ap-6065	218	16	as	as	ADP
ap-6065	218	17	the	the	DET
ap-6065	218	18	dynamically	dynamically	ADV
ap-6065	218	19	adapted	adapt	VERB
ap-6065	218	20	meshes	mesh	NOUN
ap-6065	218	21	.	.	PUNCT
ap-6065	219	1	fig	fig	NOUN
ap-6065	219	2	.	.	PUNCT
ap-6065	220	1	5	5	NUM
ap-6065	220	2	shows	show	VERB
ap-6065	220	3	the	the	DET
ap-6065	220	4	dynamic	dynamic	ADJ
ap-6065	220	5	development	development	NOUN
ap-6065	220	6	of	of	ADP
ap-6065	220	7	the	the	DET
ap-6065	220	8	mesh	mesh	NOUN
ap-6065	220	9	and	and	CCONJ
ap-6065	220	10	the	the	DET
ap-6065	220	11	number	number	NOUN
ap-6065	220	12	of	of	ADP
ap-6065	220	13	degrees	degree	NOUN
ap-6065	220	14	of	of	ADP
ap-6065	220	15	freedom	freedom	NOUN
ap-6065	220	16	.	.	PUNCT
ap-6065	221	1	it	it	PRON
ap-6065	221	2	should	should	AUX
ap-6065	221	3	be	be	AUX
ap-6065	221	4	noted	note	VERB
ap-6065	221	5	that	that	SCONJ
ap-6065	221	6	our	our	PRON
ap-6065	221	7	case	case	NOUN
ap-6065	221	8	study	study	NOUN
ap-6065	221	9	is	be	AUX
ap-6065	221	10	sensitive	sensitive	ADJ
ap-6065	221	11	to	to	PART
ap-6065	221	12	discretization	discretization	VERB
ap-6065	221	13	qualities	quality	NOUN
ap-6065	221	14	as	as	SCONJ
ap-6065	221	15	explained	explain	VERB
ap-6065	221	16	in	in	ADP
ap-6065	221	17	[	[	X
ap-6065	221	18	29	29	NUM
ap-6065	221	19	]	]	PUNCT
ap-6065	221	20	.	.	PUNCT
ap-6065	222	1	the	the	DET
ap-6065	222	2	numerical	numerical	ADJ
ap-6065	222	3	solution	solution	NOUN
ap-6065	222	4	exhibits	exhibit	VERB
ap-6065	222	5	physically	physically	ADV
ap-6065	222	6	justifiable	justifiable	ADJ
ap-6065	222	7	characteristics	characteristic	NOUN
ap-6065	222	8	while	while	SCONJ
ap-6065	222	9	maitaining	maitaine	VERB
ap-6065	222	10	a	a	DET
ap-6065	222	11	low	low	ADJ
ap-6065	222	12	number	number	NOUN
ap-6065	222	13	of	of	ADP
ap-6065	222	14	degrees	degree	NOUN
ap-6065	222	15	of	of	ADP
ap-6065	222	16	freedom	freedom	NOUN
ap-6065	222	17	.	.	PUNCT
ap-6065	223	1	the	the	DET
ap-6065	223	2	maximum	maximum	ADJ
ap-6065	223	3	number	number	NOUN
ap-6065	223	4	of	of	ADP
ap-6065	223	5	degrees	degree	NOUN
ap-6065	223	6	of	of	ADP
ap-6065	223	7	freedom	freedom	NOUN
ap-6065	223	8	was	be	AUX
ap-6065	223	9	roughly	roughly	ADV
ap-6065	223	10	1000	1000	NUM
ap-6065	223	11	.	.	PUNCT
ap-6065	224	1	taking	take	VERB
ap-6065	224	2	into	into	ADP
ap-6065	224	3	account	account	NOUN
ap-6065	224	4	the	the	DET
ap-6065	224	5	domain	domain	NOUN
ap-6065	224	6	size	size	NOUN
ap-6065	224	7	and	and	CCONJ
ap-6065	224	8	dimension	dimension	NOUN
ap-6065	224	9	,	,	PUNCT
ap-6065	224	10	such	such	ADJ
ap-6065	224	11	automatically	automatically	ADV
ap-6065	224	12	adapted	adapt	VERB
ap-6065	224	13	mesh	mesh	NOUN
ap-6065	224	14	is	be	AUX
ap-6065	224	15	highly	highly	ADV
ap-6065	224	16	optimal	optimal	ADJ
ap-6065	224	17	.	.	PUNCT
ap-6065	225	1	finally	finally	ADV
ap-6065	225	2	we	we	PRON
ap-6065	225	3	also	also	ADV
ap-6065	225	4	present	present	VERB
ap-6065	225	5	a	a	DET
ap-6065	225	6	quantitative	quantitative	ADJ
ap-6065	225	7	comparison	comparison	NOUN
ap-6065	225	8	of	of	ADP
ap-6065	225	9	an	an	DET
ap-6065	225	10	adaptive	adaptive	ADJ
ap-6065	225	11	computation	computation	NOUN
ap-6065	225	12	and	and	CCONJ
ap-6065	225	13	a	a	DET
ap-6065	225	14	computation	computation	NOUN
ap-6065	225	15	on	on	ADP
ap-6065	225	16	a	a	DET
ap-6065	225	17	fixed	fix	VERB
ap-6065	225	18	fine	fine	ADJ
ap-6065	225	19	mesh	mesh	NOUN
ap-6065	225	20	.	.	PUNCT
ap-6065	226	1	namely	namely	ADV
ap-6065	226	2	,	,	PUNCT
ap-6065	226	3	we	we	PRON
ap-6065	226	4	compare	compare	VERB
ap-6065	226	5	the	the	DET
ap-6065	226	6	actual	actual	ADJ
ap-6065	226	7	water	water	NOUN
ap-6065	226	8	flux	flux	NOUN
ap-6065	226	9	through	through	ADP
ap-6065	226	10	the	the	DET
ap-6065	226	11	input	input	NOUN
ap-6065	226	12	boundary	boundary	PROPN
ap-6065	226	13	f	f	PROPN
ap-6065	226	14	(	(	PUNCT
ap-6065	226	15	t	t	PROPN
ap-6065	226	16	)	)	PUNCT
ap-6065	226	17	=	=	PUNCT
ap-6065	227	1	−	−	PROPN
ap-6065	227	2	∫	∫	PROPN
ap-6065	227	3	γ2	γ2	PROPN
ap-6065	227	4	k(ψ)∇ψ(x	k(ψ)∇ψ(x	PROPN
ap-6065	227	5	,	,	PUNCT
ap-6065	227	6	t	t	PROPN
ap-6065	227	7	)	)	PUNCT
ap-6065	227	8	·	·	PUNCT
ap-6065	228	1	n	n	X
ap-6065	228	2	dx	dx	PROPN
ap-6065	228	3	(	(	PUNCT
ap-6065	228	4	4.2	4.2	NUM
ap-6065	228	5	)	)	PUNCT
ap-6065	228	6	and	and	CCONJ
ap-6065	228	7	the	the	DET
ap-6065	228	8	total	total	ADJ
ap-6065	228	9	(	(	PUNCT
ap-6065	228	10	accumulated	accumulate	VERB
ap-6065	228	11	flux	flux	NOUN
ap-6065	228	12	)	)	PUNCT
ap-6065	229	1	f	f	PROPN
ap-6065	229	2	(	(	PUNCT
ap-6065	229	3	t	t	PROPN
ap-6065	229	4	)	)	PUNCT
ap-6065	229	5	=	=	PUNCT
ap-6065	230	1	−	−	PROPN
ap-6065	230	2	∫	∫	PROPN
ap-6065	230	3	t	t	PROPN
ap-6065	230	4	0	0	NUM
ap-6065	230	5	∫	∫	PROPN
ap-6065	230	6	γ2	γ2	PROPN
ap-6065	230	7	k(ψ)∇ψ(x	k(ψ)∇ψ(x	PROPN
ap-6065	230	8	,	,	PUNCT
ap-6065	230	9	t′	t′	NUM
ap-6065	230	10	)	)	PUNCT
ap-6065	230	11	·	·	PUNCT
ap-6065	231	1	n	n	PRON
ap-6065	231	2	dxdt′.	dxdt′.	NOUN
ap-6065	231	3	(	(	PUNCT
ap-6065	231	4	4.3	4.3	NUM
ap-6065	231	5	)	)	PUNCT
ap-6065	231	6	the	the	DET
ap-6065	231	7	fine	fine	ADJ
ap-6065	231	8	mesh	mesh	NOUN
ap-6065	231	9	was	be	AUX
ap-6065	231	10	chosen	choose	VERB
ap-6065	231	11	in	in	ADP
ap-6065	231	12	such	such	DET
ap-6065	231	13	a	a	DET
ap-6065	231	14	way	way	NOUN
ap-6065	231	15	that	that	PRON
ap-6065	231	16	both	both	DET
ap-6065	231	17	computations	computation	NOUN
ap-6065	231	18	have	have	VERB
ap-6065	231	19	roughly	roughly	ADV
ap-6065	231	20	the	the	DET
ap-6065	231	21	same	same	ADJ
ap-6065	231	22	level	level	NOUN
ap-6065	231	23	of	of	ADP
ap-6065	231	24	accuracy	accuracy	NOUN
ap-6065	231	25	.	.	PUNCT
ap-6065	232	1	fig	fig	NOUN
ap-6065	232	2	.	.	PUNCT
ap-6065	233	1	6	6	NUM
ap-6065	233	2	shows	show	VERB
ap-6065	233	3	the	the	DET
ap-6065	233	4	values	value	NOUN
ap-6065	233	5	of	of	ADP
ap-6065	233	6	the	the	DET
ap-6065	233	7	actual	actual	ADJ
ap-6065	233	8	and	and	CCONJ
ap-6065	233	9	total	total	ADJ
ap-6065	233	10	fluxes	flux	NOUN
ap-6065	233	11	in	in	ADP
ap-6065	233	12	dependence	dependence	NOUN
ap-6065	233	13	on	on	ADP
ap-6065	233	14	time	time	NOUN
ap-6065	233	15	.	.	PUNCT
ap-6065	234	1	we	we	PRON
ap-6065	234	2	observe	observe	VERB
ap-6065	234	3	that	that	SCONJ
ap-6065	234	4	the	the	DET
ap-6065	234	5	actual	actual	ADJ
ap-6065	234	6	flux	flux	NOUN
ap-6065	234	7	is	be	AUX
ap-6065	234	8	the	the	DET
ap-6065	234	9	highest	high	ADJ
ap-6065	234	10	at	at	ADP
ap-6065	234	11	the	the	DET
ap-6065	234	12	beginning	beginning	NOUN
ap-6065	234	13	of	of	ADP
ap-6065	234	14	the	the	DET
ap-6065	234	15	computation	computation	NOUN
ap-6065	234	16	and	and	CCONJ
ap-6065	234	17	starting	start	VERB
ap-6065	234	18	from	from	ADP
ap-6065	234	19	t	t	PROPN
ap-6065	234	20	≈	≈	PROPN
ap-6065	234	21	0.2	0.2	NUM
ap-6065	234	22	hours	hour	NOUN
ap-6065	234	23	,	,	PUNCT
ap-6065	234	24	it	it	PRON
ap-6065	234	25	is	be	AUX
ap-6065	234	26	approximately	approximately	ADV
ap-6065	234	27	constant	constant	ADJ
ap-6065	234	28	.	.	PUNCT
ap-6065	235	1	finally	finally	ADV
ap-6065	235	2	,	,	PUNCT
ap-6065	235	3	when	when	SCONJ
ap-6065	235	4	the	the	DET
ap-6065	235	5	seepage	seepage	NOUN
ap-6065	235	6	face	face	NOUN
ap-6065	235	7	is	be	AUX
ap-6065	235	8	active	active	ADJ
ap-6065	235	9	,	,	PUNCT
ap-6065	235	10	the	the	DET
ap-6065	235	11	actual	actual	ADJ
ap-6065	235	12	flux	flux	NOUN
ap-6065	235	13	decreases	decrease	VERB
ap-6065	235	14	(	(	PUNCT
ap-6065	235	15	the	the	DET
ap-6065	235	16	total	total	ADJ
ap-6065	235	17	flux	flux	NOUN
ap-6065	235	18	stagnates	stagnate	VERB
ap-6065	235	19	)	)	PUNCT
ap-6065	235	20	.	.	PUNCT
ap-6065	236	1	moreover	moreover	ADV
ap-6065	236	2	,	,	PUNCT
ap-6065	236	3	we	we	PRON
ap-6065	236	4	find	find	VERB
ap-6065	236	5	that	that	SCONJ
ap-6065	236	6	both	both	DET
ap-6065	236	7	computations	computation	NOUN
ap-6065	236	8	(	(	PUNCT
ap-6065	236	9	adaptive	adaptive	ADJ
ap-6065	236	10	and	and	CCONJ
ap-6065	236	11	fixed	fix	VERB
ap-6065	236	12	meshes	mesh	NOUN
ap-6065	236	13	)	)	PUNCT
ap-6065	236	14	give	give	VERB
ap-6065	236	15	very	very	ADV
ap-6065	236	16	similar	similar	ADJ
ap-6065	236	17	behaviours	behaviour	NOUN
ap-6065	236	18	.	.	PUNCT
ap-6065	237	1	the	the	DET
ap-6065	237	2	main	main	ADJ
ap-6065	237	3	difference	difference	NOUN
ap-6065	237	4	is	be	AUX
ap-6065	237	5	at	at	ADP
ap-6065	237	6	the	the	DET
ap-6065	237	7	end	end	NOUN
ap-6065	237	8	of	of	ADP
ap-6065	237	9	the	the	DET
ap-6065	237	10	computation	computation	NOUN
ap-6065	237	11	where	where	SCONJ
ap-6065	237	12	the	the	DET
ap-6065	237	13	actual	actual	ADJ
ap-6065	237	14	flux	flux	NOUN
ap-6065	237	15	is	be	AUX
ap-6065	237	16	already	already	ADV
ap-6065	237	17	negligible	negligible	ADJ
ap-6065	237	18	.	.	PUNCT
ap-6065	238	1	the	the	DET
ap-6065	238	2	difference	difference	NOUN
ap-6065	238	3	is	be	AUX
ap-6065	238	4	caused	cause	VERB
ap-6065	238	5	by	by	ADP
ap-6065	238	6	a	a	DET
ap-6065	238	7	large	large	ADJ
ap-6065	238	8	final	final	ADJ
ap-6065	238	9	time	time	NOUN
ap-6065	238	10	step	step	NOUN
ap-6065	238	11	chosen	choose	VERB
ap-6065	238	12	by	by	ADP
ap-6065	238	13	the	the	DET
ap-6065	238	14	adaptive	adaptive	ADJ
ap-6065	238	15	method	method	NOUN
ap-6065	238	16	.	.	PUNCT
ap-6065	239	1	furthermore	furthermore	ADV
ap-6065	239	2	,	,	PUNCT
ap-6065	239	3	the	the	DET
ap-6065	239	4	adaptive	adaptive	ADJ
ap-6065	239	5	computation	computation	NOUN
ap-6065	239	6	uses	use	VERB
ap-6065	239	7	approximately	approximately	ADV
ap-6065	239	8	200	200	NUM
ap-6065	239	9	elements	element	NOUN
ap-6065	239	10	and	and	CCONJ
ap-6065	239	11	10,000	10,000	NUM
ap-6065	239	12	degrees	degree	NOUN
ap-6065	239	13	of	of	ADP
ap-6065	239	14	freedom	freedom	NOUN
ap-6065	239	15	.	.	PUNCT
ap-6065	240	1	it	it	PRON
ap-6065	240	2	takes	take	VERB
ap-6065	240	3	74,646	74,646	NUM
ap-6065	240	4	seconds	second	NOUN
ap-6065	240	5	.	.	PUNCT
ap-6065	241	1	the	the	DET
ap-6065	241	2	fixed	fix	VERB
ap-6065	241	3	mesh	mesh	NOUN
ap-6065	241	4	computation	computation	NOUN
ap-6065	241	5	uses	use	VERB
ap-6065	241	6	2279	2279	NUM
ap-6065	241	7	elements	element	NOUN
ap-6065	241	8	and	and	CCONJ
ap-6065	241	9	45,580	45,580	NUM
ap-6065	241	10	degrees	degree	NOUN
ap-6065	241	11	of	of	ADP
ap-6065	241	12	freedom	freedom	NOUN
ap-6065	241	13	,	,	PUNCT
ap-6065	241	14	and	and	CCONJ
ap-6065	241	15	it	it	PRON
ap-6065	241	16	takes	take	VERB
ap-6065	241	17	401,769	401,769	NUM
ap-6065	241	18	seconds	second	NOUN
ap-6065	241	19	.	.	PUNCT
ap-6065	242	1	hence	hence	ADV
ap-6065	242	2	,	,	PUNCT
ap-6065	242	3	clearly	clearly	ADV
ap-6065	242	4	,	,	PUNCT
ap-6065	242	5	the	the	DET
ap-6065	242	6	adaptive	adaptive	ADJ
ap-6065	242	7	computation	computation	NOUN
ap-6065	242	8	is	be	AUX
ap-6065	242	9	much	much	ADV
ap-6065	242	10	more	more	ADV
ap-6065	242	11	efficient	efficient	ADJ
ap-6065	242	12	.	.	PUNCT
ap-6065	243	1	references	reference	NOUN
ap-6065	243	2	[	[	X
ap-6065	243	3	1	1	NUM
ap-6065	243	4	]	]	PUNCT
ap-6065	243	5	x.	x.	NOUN
ap-6065	243	6	xu	xu	PROPN
ap-6065	243	7	,	,	PUNCT
ap-6065	243	8	c.	c.	PROPN
ap-6065	243	9	lewis	lewis	PROPN
ap-6065	243	10	,	,	PUNCT
ap-6065	243	11	w.	w.	PROPN
ap-6065	243	12	liu	liu	PROPN
ap-6065	243	13	,	,	PUNCT
ap-6065	243	14	et	et	PROPN
ap-6065	243	15	al	al	PROPN
ap-6065	243	16	.	.	PUNCT
ap-6065	244	1	analysis	analysis	NOUN
ap-6065	244	2	of	of	ADP
ap-6065	244	3	single	single	ADJ
ap-6065	244	4	-	-	PUNCT
ap-6065	244	5	ring	ring	NOUN
ap-6065	244	6	infiltrometer	infiltrometer	NOUN
ap-6065	244	7	data	datum	NOUN
ap-6065	244	8	for	for	ADP
ap-6065	244	9	soil	soil	NOUN
ap-6065	244	10	hydraulic	hydraulic	ADJ
ap-6065	244	11	properties	property	NOUN
ap-6065	244	12	estimation	estimation	NOUN
ap-6065	244	13	:	:	PUNCT
ap-6065	244	14	comparison	comparison	NOUN
ap-6065	244	15	of	of	ADP
ap-6065	244	16	best	good	ADJ
ap-6065	244	17	and	and	CCONJ
ap-6065	244	18	wu	wu	PROPN
ap-6065	244	19	methods	method	NOUN
ap-6065	244	20	.	.	PUNCT
ap-6065	245	1	agricultural	agricultural	ADJ
ap-6065	245	2	water	water	NOUN
ap-6065	245	3	management	management	NOUN
ap-6065	245	4	107:34	107:34	PROPN
ap-6065	245	5	–	–	PUNCT
ap-6065	245	6	41	41	NUM
ap-6065	245	7	,	,	PUNCT
ap-6065	245	8	2012	2012	NUM
ap-6065	245	9	.	.	PUNCT
ap-6065	246	1	doi:10.1016	doi:10.1016	PROPN
ap-6065	246	2	/	/	SYM
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ap-6065	247	1	[	[	X
ap-6065	247	2	2	2	NUM
ap-6065	247	3	]	]	PUNCT
ap-6065	247	4	m.	m.	NOUN
ap-6065	247	5	nakhaei	nakhaei	PROPN
ap-6065	247	6	,	,	PUNCT
ap-6065	247	7	j.	j.	PROPN
ap-6065	247	8	šim	šim	PROPN
ap-6065	247	9	�	�	PROPN
ap-6065	247	10	unek	unek	PROPN
ap-6065	247	11	.	.	PUNCT
ap-6065	248	1	parameter	parameter	PROPN
ap-6065	248	2	estimation	estimation	NOUN
ap-6065	248	3	of	of	ADP
ap-6065	248	4	soil	soil	NOUN
ap-6065	248	5	hydraulic	hydraulic	ADJ
ap-6065	248	6	and	and	CCONJ
ap-6065	248	7	thermal	thermal	ADJ
ap-6065	248	8	property	property	NOUN
ap-6065	248	9	functions	function	NOUN
ap-6065	248	10	for	for	ADP
ap-6065	248	11	unsaturated	unsaturated	ADJ
ap-6065	248	12	porous	porous	ADJ
ap-6065	248	13	media	medium	NOUN
ap-6065	248	14	using	use	VERB
ap-6065	248	15	the	the	DET
ap-6065	248	16	hydrus-2d	hydrus-2d	PUNCT
ap-6065	248	17	code	code	NOUN
ap-6065	248	18	.	.	PUNCT
ap-6065	249	1	journal	journal	PROPN
ap-6065	249	2	of	of	ADP
ap-6065	249	3	hydrology	hydrology	NOUN
ap-6065	249	4	and	and	CCONJ
ap-6065	249	5	hydromechanics	hydromechanic	NOUN
ap-6065	249	6	62(1):7–15	62(1):7–15	NUM
ap-6065	249	7	,	,	PUNCT
ap-6065	249	8	2014	2014	NUM
ap-6065	249	9	.	.	PUNCT
ap-6065	250	1	doi:10.2478	doi:10.2478	PROPN
ap-6065	250	2	/	/	SYM
ap-6065	250	3	johh-2014	johh-2014	NOUN
ap-6065	250	4	-	-	PUNCT
ap-6065	250	5	0008	0008	NUM
ap-6065	250	6	.	.	PUNCT
ap-6065	251	1	[	[	X
ap-6065	251	2	3	3	X
ap-6065	251	3	]	]	X
ap-6065	251	4	l.	l.	PROPN
ap-6065	251	5	a.	a.	PROPN
ap-6065	251	6	richards	richards	PROPN
ap-6065	251	7	.	.	PUNCT
ap-6065	252	1	capillary	capillary	ADJ
ap-6065	252	2	conduction	conduction	NOUN
ap-6065	252	3	of	of	ADP
ap-6065	252	4	liquids	liquid	NOUN
ap-6065	252	5	through	through	ADP
ap-6065	252	6	porous	porous	ADJ
ap-6065	252	7	mediums	medium	NOUN
ap-6065	252	8	.	.	PUNCT
ap-6065	253	1	journal	journal	NOUN
ap-6065	253	2	of	of	ADP
ap-6065	253	3	applied	applied	ADJ
ap-6065	253	4	physics	physics	NOUN
ap-6065	253	5	1(5):318–333	1(5):318–333	NUM
ap-6065	253	6	,	,	PUNCT
ap-6065	253	7	1931	1931	NUM
ap-6065	253	8	.	.	PUNCT
ap-6065	254	1	doi:10.1063/1.1745010	doi:10.1063/1.1745010	PROPN
ap-6065	254	2	.	.	PUNCT
ap-6065	255	1	[	[	X
ap-6065	255	2	4	4	X
ap-6065	255	3	]	]	PUNCT
ap-6065	255	4	s.	s.	PROPN
ap-6065	255	5	c.	c.	PROPN
ap-6065	255	6	iden	iden	PROPN
ap-6065	255	7	,	,	PUNCT
ap-6065	255	8	j.	j.	PROPN
ap-6065	255	9	r.	r.	PROPN
ap-6065	255	10	blöcher	blöcher	PROPN
ap-6065	255	11	,	,	PUNCT
ap-6065	255	12	e.	e.	PROPN
ap-6065	255	13	diamantopoulos	diamantopoulos	PROPN
ap-6065	255	14	,	,	PUNCT
ap-6065	255	15	et	et	PROPN
ap-6065	255	16	al	al	PROPN
ap-6065	255	17	.	.	PROPN
ap-6065	255	18	numerical	numerical	PROPN
ap-6065	255	19	test	test	NOUN
ap-6065	255	20	of	of	ADP
ap-6065	255	21	the	the	DET
ap-6065	255	22	laboratory	laboratory	NOUN
ap-6065	255	23	evaporation	evaporation	NOUN
ap-6065	255	24	method	method	NOUN
ap-6065	255	25	using	use	VERB
ap-6065	255	26	coupled	couple	VERB
ap-6065	255	27	water	water	NOUN
ap-6065	255	28	,	,	PUNCT
ap-6065	255	29	vapor	vapor	NOUN
ap-6065	255	30	and	and	CCONJ
ap-6065	255	31	heat	heat	NOUN
ap-6065	255	32	flow	flow	NOUN
ap-6065	255	33	modelling	modelling	NOUN
ap-6065	255	34	.	.	PUNCT
ap-6065	256	1	journal	journal	NOUN
ap-6065	256	2	of	of	ADP
ap-6065	256	3	hydrology	hydrology	NOUN
ap-6065	256	4	570:574	570:574	ADJ
ap-6065	256	5	–	–	PUNCT
ap-6065	256	6	583	583	NUM
ap-6065	256	7	,	,	PUNCT
ap-6065	256	8	2019	2019	NUM
ap-6065	256	9	.	.	PUNCT
ap-6065	257	1	doi:10.1016	doi:10.1016	PROPN
ap-6065	257	2	/	/	SYM
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ap-6065	258	1	64	64	NUM
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ap-6065	258	5	http://dx.doi.org/10.1016/j.jhydrol.2018.12.045	http://dx.doi.org/10.1016/j.jhydrol.2018.12.045	PROPN
ap-6065	258	6	vol	vol	NOUN
ap-6065	258	7	.	.	PUNCT
ap-6065	258	8	61	61	NUM
ap-6065	258	9	special	special	ADJ
ap-6065	258	10	issue/2021	issue/2021	NOUN
ap-6065	258	11	numerical	numerical	PROPN
ap-6065	258	12	simulation	simulation	PROPN
ap-6065	258	13	of	of	ADP
ap-6065	258	14	a	a	DET
ap-6065	258	15	single	single	ADJ
ap-6065	258	16	ring	ring	NOUN
ap-6065	258	17	infiltration	infiltration	NOUN
ap-6065	258	18	experiment	experiment	NOUN
ap-6065	258	19	figure	figure	NOUN
ap-6065	258	20	4	4	NUM
ap-6065	258	21	.	.	PUNCT
ap-6065	258	22	hydraulic	hydraulic	ADJ
ap-6065	258	23	head	head	NOUN
ap-6065	258	24	and	and	CCONJ
ap-6065	258	25	a	a	DET
ap-6065	258	26	detail	detail	NOUN
ap-6065	258	27	of	of	ADP
ap-6065	258	28	the	the	DET
ap-6065	258	29	dynamically	dynamically	ADV
ap-6065	258	30	adapted	adapt	VERB
ap-6065	258	31	mesh	mesh	NOUN
ap-6065	258	32	.	.	PUNCT
ap-6065	259	1	1e+02	1e+02	NUM
ap-6065	259	2	1e+03	1e+03	NOUN
ap-6065	259	3	1e+04	1e+04	NUM
ap-6065	259	4	1e+05	1e+05	NUM
ap-6065	259	5	0	0	NUM
ap-6065	259	6	0.5	0.5	NUM
ap-6065	259	7	1	1	NUM
ap-6065	259	8	1.5	1.5	NUM
ap-6065	259	9	2	2	NUM
ap-6065	259	10	2.5	2.5	NUM
ap-6065	259	11	3	3	NUM
ap-6065	259	12	3.5	3.5	NUM
ap-6065	259	13	4	4	NUM
ap-6065	259	14	σ	σ	NUM
ap-6065	259	15	m	m	NOUN
ap-6065	259	16	time	time	NOUN
ap-6065	259	17	[	[	X
ap-6065	259	18	hours	hours	X
ap-6065	259	19	]	]	X
ap-6065	259	20	number	number	NOUN
ap-6065	259	21	of	of	ADP
ap-6065	259	22	mesh	mesh	NOUN
ap-6065	259	23	elements	element	NOUN
ap-6065	259	24	number	number	NOUN
ap-6065	259	25	of	of	ADP
ap-6065	259	26	dof	dof	NOUN
ap-6065	259	27	figure	figure	NOUN
ap-6065	259	28	5	5	NUM
ap-6065	259	29	.	.	PUNCT
ap-6065	259	30	adaptively	adaptively	ADV
ap-6065	259	31	updated	update	VERB
ap-6065	259	32	mesh	mesh	NOUN
ap-6065	259	33	:	:	PUNCT
ap-6065	259	34	number	number	NOUN
ap-6065	259	35	of	of	ADP
ap-6065	259	36	mesh	mesh	NOUN
ap-6065	259	37	elements	element	NOUN
ap-6065	259	38	and	and	CCONJ
ap-6065	259	39	number	number	NOUN
ap-6065	259	40	of	of	ADP
ap-6065	259	41	degrees	degree	NOUN
ap-6065	259	42	of	of	ADP
ap-6065	259	43	freedom	freedom	NOUN
ap-6065	259	44	w.r.t	w.r.t	NOUN
ap-6065	259	45	.	.	PUNCT
ap-6065	260	1	physical	physical	ADJ
ap-6065	260	2	time	time	NOUN
ap-6065	260	3	.	.	PUNCT
ap-6065	261	1	65	65	NUM
ap-6065	261	2	v.	v.	ADP
ap-6065	261	3	dolejší	dolejší	PROPN
ap-6065	261	4	,	,	PUNCT
ap-6065	261	5	m.	m.	NOUN
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ap-6065	261	10	acta	acta	PROPN
ap-6065	261	11	polytechnica	polytechnica	PROPN
ap-6065	261	12	1.0e-03	1.0e-03	NUM
ap-6065	262	1	1.0e-02	1.0e-02	NUM
ap-6065	262	2	1.0e-01	1.0e-01	NUM
ap-6065	262	3	1.0e+00	1.0e+00	NUM
ap-6065	262	4	0	0	NUM
ap-6065	262	5	0.5	0.5	NUM
ap-6065	262	6	1	1	NUM
ap-6065	262	7	1.5	1.5	NUM
ap-6065	262	8	2	2	NUM
ap-6065	262	9	2.5	2.5	NUM
ap-6065	262	10	3	3	NUM
ap-6065	262	11	3.5	3.5	NUM
ap-6065	262	12	4	4	NUM
ap-6065	262	13	ac	ac	PROPN
ap-6065	262	14	tu	tu	PROPN
ap-6065	262	15	al	al	PROPN
ap-6065	262	16	flu	flu	PROPN
ap-6065	262	17	x	x	X
ap-6065	262	18	f	f	PROPN
ap-6065	262	19	(	(	PUNCT
ap-6065	262	20	t	t	PROPN
ap-6065	262	21	)	)	PUNCT
ap-6065	263	1	=	=	PUNCT
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ap-6065	264	2	∫	∫	PROPN
ap-6065	264	3	γ	γ	PROPN
ap-6065	264	4	2	2	PROPN
ap-6065	264	5	k	k	X
ap-6065	264	6	∇	∇	X
ap-6065	264	7	ψ	ψ	X
ap-6065	264	8	(	(	PUNCT
ap-6065	264	9	x	x	INTJ
ap-6065	264	10	,	,	PUNCT
ap-6065	264	11	t	t	PROPN
ap-6065	264	12	)	)	PUNCT
ap-6065	264	13	·	·	PUNCT
ap-6065	265	1	nd	nd	NOUN
ap-6065	265	2	x	x	VERB
ap-6065	265	3	time	time	NOUN
ap-6065	265	4	[	[	X
ap-6065	265	5	hours	hours	X
ap-6065	265	6	]	]	X
ap-6065	265	7	flux	flux	NOUN
ap-6065	265	8	,	,	PUNCT
ap-6065	265	9	no	no	DET
ap-6065	265	10	adaptation	adaptation	NOUN
ap-6065	265	11	flux	flux	NOUN
ap-6065	265	12	,	,	PUNCT
ap-6065	265	13	hp	hp	ADJ
ap-6065	265	14	adaptation	adaptation	NOUN
ap-6065	265	15	1.0e-03	1.0e-03	NUM
ap-6065	265	16	1.0e-02	1.0e-02	NUM
ap-6065	266	1	1.0e-01	1.0e-01	NUM
ap-6065	266	2	1.0e+00	1.0e+00	NUM
ap-6065	266	3	0	0	NUM
ap-6065	266	4	0.5	0.5	NUM
ap-6065	266	5	1	1	NUM
ap-6065	266	6	1.5	1.5	NUM
ap-6065	266	7	2	2	NUM
ap-6065	266	8	2.5	2.5	NUM
ap-6065	266	9	3	3	NUM
ap-6065	266	10	3.5	3.5	NUM
ap-6065	266	11	4	4	NUM
ap-6065	266	12	-1.0e-03	-1.0e-03	NUM
ap-6065	266	13	-5.0e-04	-5.0e-04	PUNCT
ap-6065	266	14	0.0e+00	0.0e+00	NOUN
ap-6065	267	1	5.0e-04	5.0e-04	NUM
ap-6065	267	2	1.0e-03	1.0e-03	NUM
ap-6065	267	3	1.5e-03	1.5e-03	NUM
ap-6065	267	4	2.0e-03	2.0e-03	NUM
ap-6065	267	5	to	to	ADP
ap-6065	267	6	ta	ta	PROPN
ap-6065	267	7	lfl	lfl	PROPN
ap-6065	267	8	ux	ux	PROPN
ap-6065	268	1	f	f	PROPN
ap-6065	268	2	(	(	PUNCT
ap-6065	268	3	t	t	PROPN
ap-6065	268	4	)	)	PUNCT
ap-6065	268	5	=	=	PUNCT
ap-6065	269	1	−	−	PROPN
ap-6065	269	2	∫	∫	PROPN
ap-6065	269	3	t	t	PROPN
ap-6065	269	4	0	0	NUM
ap-6065	269	5	∫	∫	PROPN
ap-6065	269	6	γ	γ	PROPN
ap-6065	269	7	2	2	PROPN
ap-6065	269	8	k	k	X
ap-6065	269	9	∇	∇	X
ap-6065	269	10	ψ	ψ	X
ap-6065	269	11	(	(	PUNCT
ap-6065	269	12	x	x	INTJ
ap-6065	269	13	,	,	PUNCT
ap-6065	269	14	t	t	PROPN
ap-6065	269	15	′	′	NUM
ap-6065	269	16	)	)	PUNCT
ap-6065	269	17	·	·	PUNCT
ap-6065	270	1	nd	nd	ADV
ap-6065	270	2	xd	xd	NUM
ap-6065	270	3	t′	t′	NUM
ap-6065	270	4	di	di	INTJ
ap-6065	270	5	ff	ff	INTJ
ap-6065	270	6	er	er	INTJ
ap-6065	270	7	en	en	X
ap-6065	270	8	ce	ce	PROPN
ap-6065	270	9	hp	hp	PROPN
ap-6065	270	10	ad	ad	PROPN
ap-6065	270	11	ap	ap	PROPN
ap-6065	270	12	tno	tno	PROPN
ap-6065	270	13	ad	ad	PROPN
ap-6065	270	14	ap	ap	PROPN
ap-6065	270	15	t	t	PROPN
ap-6065	270	16	[	[	PUNCT
ap-6065	270	17	m	m	PROPN
ap-6065	270	18	·	·	PUNCT
ap-6065	270	19	da	da	X
ap-6065	270	20	y−	y−	NOUN
ap-6065	270	21	1	1	NUM
ap-6065	270	22	]	]	PUNCT
ap-6065	270	23	time	time	NOUN
ap-6065	270	24	[	[	X
ap-6065	270	25	hours	hours	X
ap-6065	270	26	]	]	X
ap-6065	270	27	total	total	ADJ
ap-6065	270	28	flux	flux	NOUN
ap-6065	270	29	,	,	PUNCT
ap-6065	270	30	no	no	DET
ap-6065	270	31	adaptation	adaptation	NOUN
ap-6065	270	32	total	total	NOUN
ap-6065	270	33	flux	flux	NOUN
ap-6065	270	34	,	,	PUNCT
ap-6065	270	35	hp	hp	ADJ
ap-6065	270	36	adaptation	adaptation	NOUN
ap-6065	270	37	difference	difference	NOUN
ap-6065	270	38	:	:	PUNCT
ap-6065	270	39	hp	hp	NOUN
ap-6065	270	40	adapt	adapt	VERB
ap-6065	270	41	no	no	DET
ap-6065	270	42	adapt	adapt	ADJ
ap-6065	270	43	figure	figure	NOUN
ap-6065	270	44	6	6	NUM
ap-6065	270	45	.	.	PUNCT
ap-6065	270	46	comparison	comparison	NOUN
ap-6065	270	47	of	of	ADP
ap-6065	270	48	the	the	DET
ap-6065	270	49	actual	actual	ADJ
ap-6065	270	50	flux	flux	NOUN
ap-6065	270	51	f	f	PROPN
ap-6065	270	52	(	(	PUNCT
ap-6065	270	53	t	t	PROPN
ap-6065	270	54	)	)	PUNCT
ap-6065	270	55	(	(	PUNCT
ap-6065	270	56	up	up	ADP
ap-6065	270	57	)	)	PUNCT
ap-6065	270	58	and	and	CCONJ
ap-6065	270	59	the	the	DET
ap-6065	270	60	total	total	ADJ
ap-6065	270	61	(	(	PUNCT
ap-6065	270	62	accumulated	accumulated	ADJ
ap-6065	270	63	)	)	PUNCT
ap-6065	270	64	flux	flux	NOUN
ap-6065	270	65	(	(	PUNCT
ap-6065	270	66	down	down	ADV
ap-6065	270	67	)	)	PUNCT
ap-6065	270	68	for	for	ADP
ap-6065	270	69	the	the	DET
ap-6065	270	70	two	two	NUM
ap-6065	270	71	computations	computation	NOUN
ap-6065	270	72	,	,	PUNCT
ap-6065	270	73	cf	cf	NOUN
ap-6065	270	74	.	.	PUNCT
ap-6065	270	75	(	(	PUNCT
ap-6065	270	76	4.2)–(4.3	4.2)–(4.3	NOUN
ap-6065	270	77	)	)	PUNCT
ap-6065	270	78	.	.	PUNCT
ap-6065	271	1	[	[	X
ap-6065	271	2	5	5	NUM
ap-6065	271	3	]	]	PUNCT
ap-6065	271	4	a.	a.	NOUN
ap-6065	271	5	binley	binley	PROPN
ap-6065	271	6	,	,	PUNCT
ap-6065	271	7	k.	k.	PROPN
ap-6065	271	8	beven	beven	PROPN
ap-6065	271	9	.	.	PUNCT
ap-6065	272	1	vadose	vadose	NOUN
ap-6065	272	2	zone	zone	NOUN
ap-6065	272	3	flow	flow	NOUN
ap-6065	272	4	model	model	NOUN
ap-6065	272	5	uncertainty	uncertainty	NOUN
ap-6065	272	6	as	as	SCONJ
ap-6065	272	7	conditioned	condition	VERB
ap-6065	272	8	on	on	ADP
ap-6065	272	9	geophysical	geophysical	ADJ
ap-6065	272	10	data	datum	NOUN
ap-6065	272	11	.	.	PUNCT
ap-6065	273	1	ground	ground	NOUN
ap-6065	273	2	water	water	NOUN
ap-6065	273	3	41(2):119–127	41(2):119–127	PROPN
ap-6065	273	4	,	,	PUNCT
ap-6065	273	5	2003	2003	NUM
ap-6065	273	6	.	.	PUNCT
ap-6065	274	1	doi:10.1111	doi:10.1111	ADJ
ap-6065	274	2	/	/	SYM
ap-6065	274	3	j.1745	j.1745	NOUN
ap-6065	274	4	-	-	PUNCT
ap-6065	274	5	6584.2003.tb02576.x	6584.2003.tb02576.x	NOUN
ap-6065	274	6	.	.	PUNCT
ap-6065	275	1	[	[	X
ap-6065	275	2	6	6	NUM
ap-6065	275	3	]	]	PUNCT
ap-6065	275	4	s.	s.	PROPN
ap-6065	275	5	würzer	würzer	PROPN
ap-6065	275	6	,	,	PUNCT
ap-6065	275	7	n.	n.	PROPN
ap-6065	275	8	wever	wever	PROPN
ap-6065	275	9	,	,	PUNCT
ap-6065	275	10	r.	r.	PROPN
ap-6065	275	11	juras	juras	PROPN
ap-6065	275	12	,	,	PUNCT
ap-6065	275	13	et	et	PROPN
ap-6065	275	14	al	al	PROPN
ap-6065	275	15	.	.	PROPN
ap-6065	275	16	modelling	model	VERB
ap-6065	275	17	liquid	liquid	ADJ
ap-6065	275	18	water	water	NOUN
ap-6065	275	19	transport	transport	NOUN
ap-6065	275	20	in	in	ADP
ap-6065	275	21	snow	snow	NOUN
ap-6065	275	22	under	under	ADP
ap-6065	275	23	rain	rain	NOUN
ap-6065	275	24	-	-	PUNCT
ap-6065	275	25	on	on	ADP
ap-6065	275	26	-	-	PUNCT
ap-6065	275	27	snow	snow	NOUN
ap-6065	275	28	conditions	condition	NOUN
ap-6065	275	29	–	–	PUNCT
ap-6065	275	30	considering	consider	VERB
ap-6065	275	31	preferential	preferential	ADJ
ap-6065	275	32	flow	flow	NOUN
ap-6065	275	33	.	.	PUNCT
ap-6065	276	1	hydrology	hydrology	NOUN
ap-6065	276	2	and	and	CCONJ
ap-6065	276	3	earth	earth	NOUN
ap-6065	276	4	system	system	NOUN
ap-6065	276	5	sciences	science	NOUN
ap-6065	276	6	21(3):1741–1756	21(3):1741–1756	NUM
ap-6065	276	7	,	,	PUNCT
ap-6065	276	8	2017	2017	NUM
ap-6065	276	9	.	.	PUNCT
ap-6065	277	1	doi:10.5194	doi:10.5194	PROPN
ap-6065	277	2	/	/	SYM
ap-6065	277	3	hess-21	hess-21	PROPN
ap-6065	277	4	-	-	PUNCT
ap-6065	277	5	1741	1741	NUM
ap-6065	277	6	-	-	SYM
ap-6065	277	7	2017	2017	NUM
ap-6065	277	8	.	.	PUNCT
ap-6065	278	1	[	[	X
ap-6065	278	2	7	7	X
ap-6065	278	3	]	]	X
ap-6065	278	4	m.	m.	NOUN
ap-6065	278	5	kuraz	kuraz	PROPN
ap-6065	278	6	,	,	PUNCT
ap-6065	278	7	p.	p.	PROPN
ap-6065	278	8	mayer	mayer	PROPN
ap-6065	278	9	,	,	PUNCT
ap-6065	278	10	v.	v.	PROPN
ap-6065	278	11	havlicek	havlicek	PROPN
ap-6065	278	12	,	,	PUNCT
ap-6065	278	13	et	et	PROPN
ap-6065	278	14	al	al	PROPN
ap-6065	278	15	.	.	PUNCT
ap-6065	279	1	dual	dual	ADJ
ap-6065	279	2	permeability	permeability	NOUN
ap-6065	279	3	variably	variably	ADV
ap-6065	279	4	saturated	saturate	VERB
ap-6065	279	5	flow	flow	NOUN
ap-6065	279	6	and	and	CCONJ
ap-6065	279	7	contaminant	contaminant	NOUN
ap-6065	279	8	transport	transport	NOUN
ap-6065	279	9	modeling	modeling	NOUN
ap-6065	279	10	of	of	ADP
ap-6065	279	11	a	a	DET
ap-6065	279	12	nuclear	nuclear	ADJ
ap-6065	279	13	waste	waste	NOUN
ap-6065	279	14	repository	repository	NOUN
ap-6065	279	15	with	with	ADP
ap-6065	279	16	capillary	capillary	ADJ
ap-6065	279	17	barrier	barrier	NOUN
ap-6065	279	18	protection	protection	NOUN
ap-6065	279	19	.	.	PUNCT
ap-6065	280	1	applied	apply	VERB
ap-6065	280	2	mathematics	mathematic	NOUN
ap-6065	280	3	and	and	CCONJ
ap-6065	280	4	computation	computation	NOUN
ap-6065	280	5	219(13):7127	219(13):7127	PROPN
ap-6065	280	6	–	–	PUNCT
ap-6065	280	7	7138	7138	NUM
ap-6065	280	8	,	,	PUNCT
ap-6065	280	9	2013	2013	NUM
ap-6065	280	10	.	.	PUNCT
ap-6065	281	1	esco	esco	PROPN
ap-6065	281	2	2010	2010	NUM
ap-6065	281	3	conference	conference	NOUN
ap-6065	281	4	in	in	ADP
ap-6065	281	5	pilsen	pilsen	PROPN
ap-6065	281	6	,	,	PUNCT
ap-6065	281	7	june	june	PROPN
ap-6065	281	8	2125	2125	NUM
ap-6065	281	9	,	,	PUNCT
ap-6065	281	10	2010	2010	NUM
ap-6065	281	11	,	,	PUNCT
ap-6065	281	12	doi:10.1016	doi:10.1016	PROPN
ap-6065	281	13	/	/	SYM
ap-6065	281	14	j.amc.2011.08.109	j.amc.2011.08.109	VERB
ap-6065	281	15	.	.	PUNCT
ap-6065	282	1	[	[	X
ap-6065	282	2	8	8	NUM
ap-6065	282	3	]	]	X
ap-6065	282	4	h.	h.	PROPN
ap-6065	282	5	alt	alt	PROPN
ap-6065	282	6	,	,	PUNCT
ap-6065	282	7	s.	s.	PROPN
ap-6065	282	8	luckhaus	luckhaus	PROPN
ap-6065	282	9	.	.	PUNCT
ap-6065	283	1	quasilinear	quasilinear	PROPN
ap-6065	283	2	elliptic	elliptic	ADJ
ap-6065	283	3	-	-	PUNCT
ap-6065	283	4	parabolic	parabolic	ADJ
ap-6065	283	5	differential	differential	ADJ
ap-6065	283	6	equations	equation	NOUN
ap-6065	283	7	.	.	PUNCT
ap-6065	284	1	mathematische	mathematische	PROPN
ap-6065	284	2	zeitschrift	zeitschrift	PROPN
ap-6065	284	3	183(3):311–341	183(3):311–341	NUM
ap-6065	284	4	,	,	PUNCT
ap-6065	284	5	1983	1983	NUM
ap-6065	284	6	.	.	PUNCT
ap-6065	285	1	doi:10.1007	doi:10.1007	PROPN
ap-6065	285	2	/	/	SYM
ap-6065	285	3	bf01176474	bf01176474	NOUN
ap-6065	285	4	.	.	PUNCT
ap-6065	286	1	[	[	X
ap-6065	286	2	9	9	NUM
ap-6065	286	3	]	]	X
ap-6065	286	4	f.	f.	PROPN
ap-6065	286	5	otto	otto	PROPN
ap-6065	286	6	.	.	PUNCT
ap-6065	287	1	l1	l1	PROPN
ap-6065	287	2	-	-	PUNCT
ap-6065	287	3	contraction	contraction	NOUN
ap-6065	287	4	and	and	CCONJ
ap-6065	287	5	uniqueness	uniqueness	NOUN
ap-6065	287	6	for	for	ADP
ap-6065	287	7	quasilinear	quasilinear	NOUN
ap-6065	287	8	elliptic	elliptic	ADJ
ap-6065	287	9	-	-	PUNCT
ap-6065	287	10	parabolic	parabolic	NOUN
ap-6065	287	11	equations	equation	NOUN
ap-6065	287	12	.	.	PUNCT
ap-6065	288	1	journal	journal	PROPN
ap-6065	288	2	of	of	ADP
ap-6065	288	3	differential	differential	ADJ
ap-6065	288	4	equations	equation	NOUN
ap-6065	288	5	131(1):20–38	131(1):20–38	NUM
ap-6065	288	6	,	,	PUNCT
ap-6065	288	7	1996	1996	NUM
ap-6065	288	8	.	.	PUNCT
ap-6065	289	1	[	[	X
ap-6065	289	2	10	10	NUM
ap-6065	289	3	]	]	X
ap-6065	289	4	f.	f.	PROPN
ap-6065	289	5	otto	otto	PROPN
ap-6065	289	6	.	.	PUNCT
ap-6065	290	1	l1	l1	PROPN
ap-6065	290	2	–	–	PUNCT
ap-6065	290	3	contraction	contraction	NOUN
ap-6065	290	4	and	and	CCONJ
ap-6065	290	5	uniqueness	uniqueness	NOUN
ap-6065	290	6	for	for	ADP
ap-6065	290	7	unstationary	unstationary	ADJ
ap-6065	290	8	saturated	saturate	VERB
ap-6065	290	9	-	-	PUNCT
ap-6065	290	10	unsaturated	unsaturate	VERB
ap-6065	290	11	porous	porous	ADJ
ap-6065	290	12	media	medium	NOUN
ap-6065	290	13	flow	flow	NOUN
ap-6065	290	14	.	.	PUNCT
ap-6065	291	1	adv	adv	PROPN
ap-6065	291	2	math	math	PROPN
ap-6065	291	3	sci	sci	PROPN
ap-6065	291	4	appl	appl	PROPN
ap-6065	291	5	7(2):537–553	7(2):537–553	PROPN
ap-6065	291	6	,	,	PUNCT
ap-6065	291	7	1997	1997	NUM
ap-6065	291	8	.	.	PUNCT
ap-6065	292	1	[	[	X
ap-6065	292	2	11	11	NUM
ap-6065	292	3	]	]	X
ap-6065	292	4	l.	l.	PROPN
ap-6065	292	5	lam	lam	PROPN
ap-6065	292	6	,	,	PUNCT
ap-6065	292	7	d.	d.	PROPN
ap-6065	292	8	fredlund	fredlund	PROPN
ap-6065	292	9	.	.	PUNCT
ap-6065	293	1	saturated	saturate	VERB
ap-6065	293	2	-	-	PUNCT
ap-6065	293	3	unsaturated	unsaturate	VERB
ap-6065	293	4	transient	transient	ADJ
ap-6065	293	5	finite	finite	PROPN
ap-6065	293	6	element	element	NOUN
ap-6065	293	7	seepage	seepage	NOUN
ap-6065	293	8	model	model	NOUN
ap-6065	293	9	for	for	ADP
ap-6065	293	10	geotechnical	geotechnical	ADJ
ap-6065	293	11	engineering	engineering	NOUN
ap-6065	293	12	.	.	PUNCT
ap-6065	294	1	advances	advance	NOUN
ap-6065	294	2	in	in	ADP
ap-6065	294	3	water	water	NOUN
ap-6065	294	4	resources	resource	NOUN
ap-6065	294	5	7(3):132	7(3):132	NUM
ap-6065	294	6	–	–	PUNCT
ap-6065	294	7	136	136	NUM
ap-6065	294	8	,	,	PUNCT
ap-6065	294	9	1984	1984	NUM
ap-6065	294	10	.	.	PUNCT
ap-6065	295	1	doi:10.1016/0309	doi:10.1016/0309	NOUN
ap-6065	295	2	-	-	PUNCT
ap-6065	295	3	1708(84)90042	1708(84)90042	NUM
ap-6065	295	4	-	-	SYM
ap-6065	295	5	3	3	NUM
ap-6065	295	6	.	.	PUNCT
ap-6065	296	1	[	[	X
ap-6065	296	2	12	12	NUM
ap-6065	296	3	]	]	X
ap-6065	296	4	c.	c.	PROPN
ap-6065	296	5	kees	kees	PROPN
ap-6065	296	6	,	,	PUNCT
ap-6065	296	7	m.	m.	NOUN
ap-6065	296	8	farthing	farthing	NOUN
ap-6065	296	9	,	,	PUNCT
ap-6065	296	10	c.	c.	PROPN
ap-6065	296	11	dawson	dawson	PROPN
ap-6065	296	12	.	.	PUNCT
ap-6065	297	1	locally	locally	ADV
ap-6065	297	2	conservative	conservative	ADJ
ap-6065	297	3	,	,	PUNCT
ap-6065	297	4	stabilized	stabilize	VERB
ap-6065	297	5	finite	finite	ADJ
ap-6065	297	6	element	element	NOUN
ap-6065	297	7	methods	method	NOUN
ap-6065	297	8	for	for	ADP
ap-6065	297	9	variably	variably	ADV
ap-6065	297	10	saturated	saturate	VERB
ap-6065	297	11	flow	flow	NOUN
ap-6065	297	12	.	.	PUNCT
ap-6065	298	1	computer	computer	NOUN
ap-6065	298	2	methods	method	NOUN
ap-6065	298	3	in	in	ADP
ap-6065	298	4	applied	applied	ADJ
ap-6065	298	5	mechanics	mechanic	NOUN
ap-6065	298	6	and	and	CCONJ
ap-6065	298	7	engineering	engineering	NOUN
ap-6065	298	8	197(51):4610	197(51):4610	PROPN
ap-6065	298	9	–	–	PUNCT
ap-6065	298	10	4625	4625	NUM
ap-6065	298	11	,	,	PUNCT
ap-6065	298	12	2008	2008	NUM
ap-6065	298	13	.	.	PUNCT
ap-6065	299	1	doi:10.1016	doi:10.1016	PROPN
ap-6065	299	2	/	/	SYM
ap-6065	299	3	j.cma.2008.06.005	j.cma.2008.06.005	PROPN
ap-6065	299	4	.	.	PUNCT
ap-6065	300	1	[	[	X
ap-6065	300	2	13	13	NUM
ap-6065	300	3	]	]	PUNCT
ap-6065	300	4	j.	j.	PROPN
ap-6065	300	5	šembera	šembera	PROPN
ap-6065	300	6	,	,	PUNCT
ap-6065	300	7	m.	m.	NOUN
ap-6065	300	8	beneš	beneš	PROPN
ap-6065	300	9	.	.	PUNCT
ap-6065	301	1	nonlinear	nonlinear	ADJ
ap-6065	301	2	galerkin	galerkin	PROPN
ap-6065	301	3	method	method	NOUN
ap-6065	301	4	for	for	ADP
ap-6065	301	5	reaction	reaction	NOUN
ap-6065	301	6	-	-	PUNCT
ap-6065	301	7	diffusion	diffusion	NOUN
ap-6065	301	8	systems	system	NOUN
ap-6065	301	9	admitting	admit	VERB
ap-6065	301	10	invariant	invariant	ADJ
ap-6065	301	11	regions	region	NOUN
ap-6065	301	12	.	.	PUNCT
ap-6065	302	1	journal	journal	NOUN
ap-6065	302	2	of	of	ADP
ap-6065	302	3	computational	computational	ADJ
ap-6065	302	4	and	and	CCONJ
ap-6065	302	5	applied	apply	VERB
ap-6065	302	6	mathematics	mathematic	NOUN
ap-6065	302	7	136(1):163	136(1):163	NUM
ap-6065	302	8	–	–	PUNCT
ap-6065	302	9	176	176	NUM
ap-6065	302	10	,	,	PUNCT
ap-6065	302	11	2001	2001	NUM
ap-6065	302	12	.	.	PUNCT
ap-6065	303	1	doi:10.1016	doi:10.1016	PROPN
ap-6065	303	2	/	/	SYM
ap-6065	303	3	s0377	s0377	NOUN
ap-6065	303	4	-	-	PUNCT
ap-6065	303	5	0427(00)00582	0427(00)00582	NOUN
ap-6065	303	6	-	-	PUNCT
ap-6065	303	7	3	3	NUM
ap-6065	303	8	.	.	NUM
ap-6065	303	9	66	66	NUM
ap-6065	303	10	http://dx.doi.org/10.1111/j.1745-6584.2003.tb02576.x	http://dx.doi.org/10.1111/j.1745-6584.2003.tb02576.x	NUM
ap-6065	303	11	http://dx.doi.org/10.5194/hess-21-1741-2017	http://dx.doi.org/10.5194/hess-21-1741-2017	PROPN
ap-6065	304	1	http://dx.doi.org/10.1016/j.amc.2011.08.109	http://dx.doi.org/10.1016/j.amc.2011.08.109	VERB
ap-6065	304	2	http://dx.doi.org/10.1007/bf01176474	http://dx.doi.org/10.1007/bf01176474	PROPN
ap-6065	304	3	http://dx.doi.org/10.1016/0309-1708(84)90042-3	http://dx.doi.org/10.1016/0309-1708(84)90042-3	VERB
ap-6065	304	4	http://dx.doi.org/10.1016/j.cma.2008.06.005	http://dx.doi.org/10.1016/j.cma.2008.06.005	PROPN
ap-6065	304	5	http://dx.doi.org/10.1016/s0377-0427(00)00582-3	http://dx.doi.org/10.1016/s0377-0427(00)00582-3	NUM
ap-6065	304	6	vol	vol	NOUN
ap-6065	304	7	.	.	PUNCT
ap-6065	305	1	61	61	NUM
ap-6065	305	2	special	special	ADJ
ap-6065	305	3	issue/2021	issue/2021	NOUN
ap-6065	305	4	numerical	numerical	PROPN
ap-6065	305	5	simulation	simulation	PROPN
ap-6065	305	6	of	of	ADP
ap-6065	305	7	a	a	DET
ap-6065	305	8	single	single	ADJ
ap-6065	305	9	ring	ring	NOUN
ap-6065	305	10	infiltration	infiltration	NOUN
ap-6065	305	11	experiment	experiment	NOUN
ap-6065	305	12	[	[	X
ap-6065	305	13	14	14	NUM
ap-6065	305	14	]	]	PUNCT
ap-6065	305	15	p.	p.	PROPN
ap-6065	305	16	solin	solin	PROPN
ap-6065	305	17	,	,	PUNCT
ap-6065	305	18	m.	m.	NOUN
ap-6065	305	19	kuraz	kuraz	PROPN
ap-6065	305	20	.	.	PUNCT
ap-6065	306	1	solving	solve	VERB
ap-6065	306	2	the	the	DET
ap-6065	306	3	nonstationary	nonstationary	ADJ
ap-6065	306	4	richards	richard	NOUN
ap-6065	306	5	equation	equation	NOUN
ap-6065	306	6	with	with	ADP
ap-6065	306	7	adaptive	adaptive	ADJ
ap-6065	306	8	hp	hp	NOUN
ap-6065	306	9	-	-	PUNCT
ap-6065	306	10	fem	fem	NOUN
ap-6065	306	11	.	.	PUNCT
ap-6065	307	1	advances	advance	NOUN
ap-6065	307	2	in	in	ADP
ap-6065	307	3	water	water	NOUN
ap-6065	307	4	resources	resource	NOUN
ap-6065	307	5	34(9):1062	34(9):1062	NUM
ap-6065	307	6	–	–	PUNCT
ap-6065	307	7	1081	1081	NUM
ap-6065	307	8	,	,	PUNCT
ap-6065	307	9	2011	2011	NUM
ap-6065	307	10	.	.	PUNCT
ap-6065	308	1	new	new	ADJ
ap-6065	308	2	computational	computational	ADJ
ap-6065	308	3	methods	method	NOUN
ap-6065	308	4	and	and	CCONJ
ap-6065	308	5	software	software	NOUN
ap-6065	308	6	tools	tool	NOUN
ap-6065	308	7	,	,	PUNCT
ap-6065	308	8	doi:10.1016	doi:10.1016	PROPN
ap-6065	308	9	/	/	SYM
ap-6065	308	10	j.advwatres.2011.04.020	j.advwatres.2011.04.020	PROPN
ap-6065	308	11	.	.	PUNCT
ap-6065	309	1	[	[	X
ap-6065	309	2	15	15	NUM
ap-6065	309	3	]	]	X
ap-6065	309	4	m.	m.	NOUN
ap-6065	309	5	tocci	tocci	PROPN
ap-6065	309	6	,	,	PUNCT
ap-6065	309	7	c.	c.	PROPN
ap-6065	309	8	kelley	kelley	PROPN
ap-6065	309	9	,	,	PUNCT
ap-6065	309	10	c.	c.	PROPN
ap-6065	309	11	miller	miller	PROPN
ap-6065	309	12	.	.	PUNCT
ap-6065	310	1	accurate	accurate	ADJ
ap-6065	310	2	and	and	CCONJ
ap-6065	310	3	economical	economical	ADJ
ap-6065	310	4	solution	solution	NOUN
ap-6065	310	5	of	of	ADP
ap-6065	310	6	the	the	DET
ap-6065	310	7	pressure	pressure	NOUN
ap-6065	310	8	-	-	PUNCT
ap-6065	310	9	head	head	NOUN
ap-6065	310	10	form	form	NOUN
ap-6065	310	11	of	of	ADP
ap-6065	310	12	richards	richard	NOUN
ap-6065	310	13	’	'	PUNCT
ap-6065	310	14	equation	equation	NOUN
ap-6065	310	15	by	by	ADP
ap-6065	310	16	the	the	DET
ap-6065	310	17	method	method	NOUN
ap-6065	310	18	of	of	ADP
ap-6065	310	19	lines	line	NOUN
ap-6065	310	20	.	.	PUNCT
ap-6065	311	1	advances	advance	NOUN
ap-6065	311	2	in	in	ADP
ap-6065	311	3	water	water	NOUN
ap-6065	311	4	resources	resource	NOUN
ap-6065	311	5	20(1):1	20(1):1	NUM
ap-6065	311	6	–	–	PUNCT
ap-6065	311	7	14	14	NUM
ap-6065	311	8	,	,	PUNCT
ap-6065	311	9	1997	1997	NUM
ap-6065	311	10	.	.	PUNCT
ap-6065	312	1	doi:10.1016	doi:10.1016	PROPN
ap-6065	312	2	/	/	SYM
ap-6065	312	3	s0309	s0309	PROPN
ap-6065	312	4	-	-	PUNCT
ap-6065	312	5	1708(96)00008	1708(96)00008	NOUN
ap-6065	312	6	-	-	PUNCT
ap-6065	312	7	5	5	NUM
ap-6065	312	8	.	.	PUNCT
ap-6065	313	1	[	[	X
ap-6065	313	2	16	16	NUM
ap-6065	313	3	]	]	X
ap-6065	313	4	c.	c.	PROPN
ap-6065	313	5	miller	miller	PROPN
ap-6065	313	6	,	,	PUNCT
ap-6065	313	7	c.	c.	PROPN
ap-6065	313	8	abhishek	abhishek	PROPN
ap-6065	313	9	,	,	PUNCT
ap-6065	313	10	m.	m.	NOUN
ap-6065	313	11	farthing	farthing	NOUN
ap-6065	313	12	.	.	PUNCT
ap-6065	314	1	a	a	DET
ap-6065	314	2	spatially	spatially	ADV
ap-6065	314	3	and	and	CCONJ
ap-6065	314	4	temporally	temporally	ADV
ap-6065	314	5	adaptive	adaptive	ADJ
ap-6065	314	6	solution	solution	NOUN
ap-6065	314	7	of	of	ADP
ap-6065	314	8	richards	richard	NOUN
ap-6065	314	9	’	'	PUNCT
ap-6065	314	10	equation	equation	NOUN
ap-6065	314	11	.	.	PUNCT
ap-6065	315	1	advances	advance	NOUN
ap-6065	315	2	in	in	ADP
ap-6065	315	3	water	water	NOUN
ap-6065	315	4	resources	resource	NOUN
ap-6065	315	5	29(4):525	29(4):525	NUM
ap-6065	315	6	–	–	PUNCT
ap-6065	315	7	545	545	NUM
ap-6065	315	8	,	,	PUNCT
ap-6065	315	9	2006	2006	NUM
ap-6065	315	10	.	.	PUNCT
ap-6065	316	1	doi:10.1016	doi:10.1016	PROPN
ap-6065	316	2	/	/	SYM
ap-6065	316	3	j.advwatres.2005.06.008	j.advwatres.2005.06.008	NOUN
ap-6065	316	4	.	.	PUNCT
ap-6065	317	1	[	[	X
ap-6065	317	2	17	17	NUM
ap-6065	317	3	]	]	PUNCT
ap-6065	317	4	m.	m.	NOUN
ap-6065	317	5	kuraz	kuraz	PROPN
ap-6065	317	6	,	,	PUNCT
ap-6065	317	7	p.	p.	PROPN
ap-6065	317	8	mayer	mayer	PROPN
ap-6065	317	9	,	,	PUNCT
ap-6065	317	10	v.	v.	PROPN
ap-6065	317	11	havlicek	havlicek	PROPN
ap-6065	317	12	,	,	PUNCT
ap-6065	317	13	p.	p.	PROPN
ap-6065	317	14	pech	pech	PROPN
ap-6065	317	15	.	.	PUNCT
ap-6065	318	1	domain	domain	NOUN
ap-6065	318	2	decomposition	decomposition	NOUN
ap-6065	318	3	adaptivity	adaptivity	NOUN
ap-6065	318	4	for	for	ADP
ap-6065	318	5	the	the	DET
ap-6065	318	6	richards	richards	PROPN
ap-6065	318	7	equation	equation	NOUN
ap-6065	318	8	model	model	NOUN
ap-6065	318	9	.	.	PUNCT
ap-6065	319	1	computing	compute	VERB
ap-6065	319	2	95(1):501–519	95(1):501–519	PROPN
ap-6065	319	3	,	,	PUNCT
ap-6065	319	4	2013	2013	NUM
ap-6065	319	5	.	.	PUNCT
ap-6065	320	1	doi:10.1007	doi:10.1007	VERB
ap-6065	320	2	/	/	SYM
ap-6065	320	3	s00607	s00607	PROPN
ap-6065	320	4	-	-	PUNCT
ap-6065	320	5	012	012	NUM
ap-6065	320	6	-	-	PUNCT
ap-6065	320	7	0279	0279	NUM
ap-6065	320	8	-	-	SYM
ap-6065	320	9	8	8	NUM
ap-6065	320	10	.	.	PUNCT
ap-6065	321	1	[	[	X
ap-6065	321	2	18	18	NUM
ap-6065	321	3	]	]	PUNCT
ap-6065	321	4	m.	m.	NOUN
ap-6065	321	5	kuraz	kuraz	PROPN
ap-6065	321	6	,	,	PUNCT
ap-6065	321	7	p.	p.	PROPN
ap-6065	321	8	mayer	mayer	PROPN
ap-6065	321	9	,	,	PUNCT
ap-6065	321	10	p.	p.	PROPN
ap-6065	321	11	pech	pech	PROPN
ap-6065	321	12	.	.	PUNCT
ap-6065	322	1	solving	solve	VERB
ap-6065	322	2	the	the	DET
ap-6065	322	3	nonlinear	nonlinear	ADJ
ap-6065	322	4	richards	richards	PROPN
ap-6065	322	5	equation	equation	NOUN
ap-6065	322	6	model	model	NOUN
ap-6065	322	7	with	with	ADP
ap-6065	322	8	adaptive	adaptive	ADJ
ap-6065	322	9	domain	domain	NOUN
ap-6065	322	10	decomposition	decomposition	NOUN
ap-6065	322	11	.	.	PUNCT
ap-6065	323	1	journal	journal	NOUN
ap-6065	323	2	of	of	ADP
ap-6065	323	3	computational	computational	ADJ
ap-6065	323	4	and	and	CCONJ
ap-6065	323	5	applied	applied	ADJ
ap-6065	323	6	mathematics	mathematic	NOUN
ap-6065	323	7	270:2	270:2	NUM
ap-6065	323	8	–	–	PUNCT
ap-6065	323	9	11	11	NUM
ap-6065	323	10	,	,	PUNCT
ap-6065	323	11	2014	2014	NUM
ap-6065	323	12	.	.	PUNCT
ap-6065	324	1	fourth	fourth	ADJ
ap-6065	324	2	international	international	ADJ
ap-6065	324	3	conference	conference	NOUN
ap-6065	324	4	on	on	ADP
ap-6065	324	5	finite	finite	ADJ
ap-6065	324	6	element	element	NOUN
ap-6065	324	7	methods	method	NOUN
ap-6065	324	8	in	in	ADP
ap-6065	324	9	engineering	engineering	NOUN
ap-6065	324	10	and	and	CCONJ
ap-6065	324	11	sciences	science	NOUN
ap-6065	324	12	(	(	PUNCT
ap-6065	324	13	femtec	femtec	ADJ
ap-6065	324	14	2013	2013	NUM
ap-6065	324	15	)	)	PUNCT
ap-6065	324	16	,	,	PUNCT
ap-6065	324	17	doi:10.1016	doi:10.1016	PROPN
ap-6065	324	18	/	/	SYM
ap-6065	324	19	j.cam.2014.03.010	j.cam.2014.03.010	PROPN
ap-6065	324	20	.	.	PUNCT
ap-6065	325	1	[	[	X
ap-6065	325	2	19	19	NUM
ap-6065	325	3	]	]	PUNCT
ap-6065	325	4	m.	m.	NOUN
ap-6065	325	5	kuraz	kuraz	PROPN
ap-6065	325	6	,	,	PUNCT
ap-6065	325	7	p.	p.	PROPN
ap-6065	325	8	mayer	mayer	PROPN
ap-6065	325	9	,	,	PUNCT
ap-6065	325	10	p.	p.	PROPN
ap-6065	325	11	pech	pech	PROPN
ap-6065	325	12	.	.	PUNCT
ap-6065	326	1	solving	solve	VERB
ap-6065	326	2	the	the	DET
ap-6065	326	3	nonlinear	nonlinear	ADJ
ap-6065	326	4	and	and	CCONJ
ap-6065	326	5	nonstationary	nonstationary	ADJ
ap-6065	326	6	richards	richard	NOUN
ap-6065	326	7	equation	equation	NOUN
ap-6065	326	8	with	with	ADP
ap-6065	326	9	two	two	NUM
ap-6065	326	10	-	-	PUNCT
ap-6065	326	11	level	level	NOUN
ap-6065	326	12	adaptive	adaptive	ADJ
ap-6065	326	13	domain	domain	NOUN
ap-6065	326	14	decomposition	decomposition	NOUN
ap-6065	326	15	(	(	PUNCT
ap-6065	326	16	dd	dd	NOUN
ap-6065	326	17	-	-	NOUN
ap-6065	326	18	adaptivity	adaptivity	NOUN
ap-6065	326	19	)	)	PUNCT
ap-6065	326	20	.	.	PUNCT
ap-6065	327	1	applied	apply	VERB
ap-6065	327	2	mathematics	mathematic	NOUN
ap-6065	327	3	and	and	CCONJ
ap-6065	327	4	computation	computation	NOUN
ap-6065	327	5	267:207	267:207	NOUN
ap-6065	327	6	–	–	PUNCT
ap-6065	327	7	222	222	NUM
ap-6065	327	8	,	,	PUNCT
ap-6065	327	9	2015	2015	NUM
ap-6065	327	10	.	.	PUNCT
ap-6065	328	1	the	the	DET
ap-6065	328	2	fourth	fourth	ADJ
ap-6065	328	3	european	european	ADJ
ap-6065	328	4	seminar	seminar	NOUN
ap-6065	328	5	on	on	ADP
ap-6065	328	6	computing	computing	PROPN
ap-6065	328	7	(	(	PUNCT
ap-6065	328	8	esco	esco	PROPN
ap-6065	328	9	2014	2014	NUM
ap-6065	328	10	)	)	PUNCT
ap-6065	328	11	,	,	PUNCT
ap-6065	328	12	doi:10.1016	doi:10.1016	PROPN
ap-6065	328	13	/	/	SYM
ap-6065	328	14	j.amc.2015.03.130	j.amc.2015.03.130	PROPN
ap-6065	328	15	.	.	PUNCT
ap-6065	329	1	[	[	X
ap-6065	329	2	20	20	NUM
ap-6065	329	3	]	]	X
ap-6065	329	4	v.	v.	CCONJ
ap-6065	329	5	dolejší	dolejší	PROPN
ap-6065	329	6	,	,	PUNCT
ap-6065	329	7	m.	m.	NOUN
ap-6065	329	8	kuráž	kuráž	PROPN
ap-6065	329	9	,	,	PUNCT
ap-6065	329	10	p.	p.	PROPN
ap-6065	329	11	solin	solin	PROPN
ap-6065	329	12	.	.	PUNCT
ap-6065	330	1	adaptive	adaptive	ADJ
ap-6065	330	2	higher	high	ADJ
ap-6065	330	3	-	-	PUNCT
ap-6065	330	4	order	order	NOUN
ap-6065	330	5	space	space	NOUN
ap-6065	330	6	-	-	PUNCT
ap-6065	330	7	time	time	NOUN
ap-6065	330	8	discontinuous	discontinuous	ADJ
ap-6065	330	9	galerkin	galerkin	ADJ
ap-6065	330	10	method	method	NOUN
ap-6065	330	11	for	for	ADP
ap-6065	330	12	the	the	DET
ap-6065	330	13	computer	computer	NOUN
ap-6065	330	14	simulation	simulation	NOUN
ap-6065	330	15	of	of	ADP
ap-6065	330	16	variably	variably	ADV
ap-6065	330	17	-	-	PUNCT
ap-6065	330	18	saturated	saturate	VERB
ap-6065	330	19	porous	porous	ADJ
ap-6065	330	20	media	medium	NOUN
ap-6065	330	21	flows	flow	NOUN
ap-6065	330	22	.	.	PUNCT
ap-6065	331	1	applied	apply	VERB
ap-6065	331	2	mathematical	mathematical	ADJ
ap-6065	331	3	modelling	modelling	NOUN
ap-6065	331	4	72:276	72:276	NUM
ap-6065	331	5	–	–	PUNCT
ap-6065	331	6	305	305	NUM
ap-6065	331	7	,	,	PUNCT
ap-6065	331	8	2019	2019	NUM
ap-6065	331	9	.	.	PUNCT
ap-6065	332	1	doi:10.1016	doi:10.1016	PROPN
ap-6065	332	2	/	/	SYM
ap-6065	332	3	j.apm.2019.02.037	j.apm.2019.02.037	PROPN
ap-6065	332	4	.	.	PUNCT
ap-6065	333	1	[	[	X
ap-6065	333	2	21	21	NUM
ap-6065	333	3	]	]	PUNCT
ap-6065	333	4	m.	m.	NOUN
ap-6065	333	5	t.	t.	PROPN
ap-6065	333	6	van	van	PROPN
ap-6065	333	7	genuchten	genuchten	NOUN
ap-6065	333	8	.	.	PUNCT
ap-6065	334	1	closed	close	VERB
ap-6065	334	2	-	-	PUNCT
ap-6065	334	3	form	form	NOUN
ap-6065	334	4	equation	equation	NOUN
ap-6065	334	5	for	for	ADP
ap-6065	334	6	predicting	predict	VERB
ap-6065	334	7	the	the	DET
ap-6065	334	8	hydraulic	hydraulic	ADJ
ap-6065	334	9	conductivity	conductivity	NOUN
ap-6065	334	10	of	of	ADP
ap-6065	334	11	unsaturated	unsaturated	ADJ
ap-6065	334	12	soils	soil	NOUN
ap-6065	334	13	.	.	PUNCT
ap-6065	335	1	soil	soil	NOUN
ap-6065	335	2	science	science	PROPN
ap-6065	335	3	society	society	PROPN
ap-6065	335	4	of	of	ADP
ap-6065	335	5	america	america	PROPN
ap-6065	335	6	journal	journal	PROPN
ap-6065	335	7	44(5):892–898	44(5):892–898	PROPN
ap-6065	335	8	,	,	PUNCT
ap-6065	335	9	1980	1980	NUM
ap-6065	335	10	.	.	PUNCT
ap-6065	336	1	doi:10.2136	doi:10.2136	NOUN
ap-6065	336	2	/	/	SYM
ap-6065	336	3	sssaj1980.03615995004400050002x	sssaj1980.03615995004400050002x	PROPN
ap-6065	336	4	.	.	PUNCT
ap-6065	337	1	[	[	X
ap-6065	337	2	22	22	NUM
ap-6065	337	3	]	]	X
ap-6065	337	4	y.	y.	PROPN
ap-6065	337	5	mualem	mualem	PROPN
ap-6065	337	6	.	.	PUNCT
ap-6065	338	1	a	a	DET
ap-6065	338	2	new	new	ADJ
ap-6065	338	3	model	model	NOUN
ap-6065	338	4	for	for	ADP
ap-6065	338	5	predicting	predict	VERB
ap-6065	338	6	the	the	DET
ap-6065	338	7	hydraulic	hydraulic	ADJ
ap-6065	338	8	conductivity	conductivity	NOUN
ap-6065	338	9	of	of	ADP
ap-6065	338	10	unsaturated	unsaturated	ADJ
ap-6065	338	11	porous	porous	ADJ
ap-6065	338	12	media	medium	NOUN
ap-6065	338	13	.	.	PUNCT
ap-6065	339	1	water	water	NOUN
ap-6065	339	2	resources	resource	NOUN
ap-6065	339	3	research	research	NOUN
ap-6065	339	4	12(3):513–522	12(3):513–522	PROPN
ap-6065	339	5	,	,	PUNCT
ap-6065	339	6	1976	1976	NUM
ap-6065	339	7	.	.	PUNCT
ap-6065	340	1	https://agupubs.onlinelibrary.wiley.com/doi/	https://agupubs.onlinelibrary.wiley.com/doi/	X
ap-6065	340	2	pdf/10.1029	pdf/10.1029	PROPN
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ap-6065	340	6	/	/	SYM
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ap-6065	340	8	.	.	PUNCT
ap-6065	341	1	[	[	X
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ap-6065	341	3	]	]	PUNCT
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ap-6065	341	9	,	,	PUNCT
ap-6065	341	10	m.	m.	PROPN
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ap-6065	341	12	,	,	PUNCT
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ap-6065	342	3	time	time	NOUN
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ap-6065	342	6	the	the	DET
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ap-6065	342	9	the	the	DET
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ap-6065	342	17	.	.	PUNCT
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ap-6065	343	2	of	of	ADP
ap-6065	343	3	computational	computational	ADJ
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ap-6065	343	7	233(12):3167	233(12):3167	PROPN
ap-6065	343	8	–	–	PUNCT
ap-6065	343	9	3177	3177	NUM
ap-6065	343	10	,	,	PUNCT
ap-6065	343	11	2010	2010	NUM
ap-6065	343	12	.	.	PUNCT
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ap-6065	344	5	engineering	engineering	NOUN
ap-6065	344	6	and	and	CCONJ
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ap-6065	344	8	(	(	PUNCT
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ap-6065	344	10	2009	2009	NUM
ap-6065	344	11	)	)	PUNCT
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ap-6065	345	2	24	24	NUM
ap-6065	345	3	]	]	X
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ap-6065	345	6	,	,	PUNCT
ap-6065	345	7	m.	m.	NOUN
ap-6065	345	8	feistauer	feistauer	NOUN
ap-6065	345	9	.	.	PUNCT
ap-6065	346	1	discontinuous	discontinuous	ADJ
ap-6065	346	2	galerkin	galerkin	ADJ
ap-6065	346	3	method	method	NOUN
ap-6065	346	4	–	–	PUNCT
ap-6065	346	5	analysis	analysis	NOUN
ap-6065	346	6	and	and	CCONJ
ap-6065	346	7	applications	application	NOUN
ap-6065	346	8	to	to	PART
ap-6065	346	9	compressible	compressible	ADJ
ap-6065	346	10	flow	flow	NOUN
ap-6065	346	11	.	.	PUNCT
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ap-6065	347	2	series	series	PROPN
ap-6065	347	3	in	in	ADP
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ap-6065	347	5	mathematics	mathematic	NOUN
ap-6065	347	6	48	48	NUM
ap-6065	347	7	.	.	PUNCT
ap-6065	348	1	springer	springer	NOUN
ap-6065	348	2	,	,	PUNCT
ap-6065	348	3	cham	cham	PROPN
ap-6065	348	4	,	,	PUNCT
ap-6065	348	5	2015	2015	NUM
ap-6065	348	6	.	.	PUNCT
ap-6065	349	1	[	[	X
ap-6065	349	2	25	25	NUM
ap-6065	349	3	]	]	X
ap-6065	349	4	h.	h.	PROPN
ap-6065	349	5	f.	f.	PROPN
ap-6065	349	6	walker	walker	PROPN
ap-6065	349	7	,	,	PUNCT
ap-6065	349	8	p.	p.	PROPN
ap-6065	349	9	ni	ni	PROPN
ap-6065	349	10	.	.	PROPN
ap-6065	349	11	anderson	anderson	PROPN
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ap-6065	349	13	for	for	ADP
ap-6065	349	14	fixed	fix	VERB
ap-6065	349	15	-	-	PUNCT
ap-6065	349	16	point	point	NOUN
ap-6065	349	17	iterations	iteration	NOUN
ap-6065	349	18	.	.	PUNCT
ap-6065	350	1	siam	siam	PROPN
ap-6065	350	2	j	j	PROPN
ap-6065	350	3	numer	numer	PROPN
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ap-6065	350	5	49(4):1715–1735	49(4):1715–1735	PROPN
ap-6065	350	6	,	,	PUNCT
ap-6065	350	7	2011	2011	NUM
ap-6065	350	8	.	.	PUNCT
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ap-6065	351	2	.	.	PUNCT
ap-6065	352	1	[	[	X
ap-6065	352	2	26	26	NUM
ap-6065	352	3	]	]	PUNCT
ap-6065	352	4	v.	v.	ADP
ap-6065	352	5	dolejší	dolejší	NOUN
ap-6065	352	6	.	.	PUNCT
ap-6065	353	1	anisotropic	anisotropic	NOUN
ap-6065	353	2	hp	hp	ADJ
ap-6065	353	3	-	-	ADJ
ap-6065	353	4	adaptive	adaptive	ADJ
ap-6065	353	5	method	method	NOUN
ap-6065	353	6	based	base	VERB
ap-6065	353	7	on	on	ADP
ap-6065	353	8	interpolation	interpolation	NOUN
ap-6065	353	9	error	error	NOUN
ap-6065	353	10	estimates	estimate	NOUN
ap-6065	353	11	in	in	ADP
ap-6065	353	12	the	the	DET
ap-6065	353	13	lq	lq	NOUN
ap-6065	353	14	-	-	NOUN
ap-6065	353	15	norm	norm	NOUN
ap-6065	353	16	.	.	PUNCT
ap-6065	354	1	appl	appl	PROPN
ap-6065	354	2	numer	numer	PROPN
ap-6065	354	3	math	math	PROPN
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ap-6065	354	5	,	,	PUNCT
ap-6065	354	6	2014	2014	NUM
ap-6065	354	7	.	.	PUNCT
ap-6065	355	1	doi:10.1016	doi:10.1016	PROPN
ap-6065	355	2	/	/	SYM
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ap-6065	355	4	.	.	PUNCT
ap-6065	356	1	[	[	X
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ap-6065	356	4	v.	v.	ADP
ap-6065	356	5	dolejší	dolejší	NOUN
ap-6065	356	6	.	.	PUNCT
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ap-6065	357	3	-	-	ADJ
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ap-6065	357	5	method	method	NOUN
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ap-6065	357	7	on	on	ADP
ap-6065	357	8	interpolation	interpolation	NOUN
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ap-6065	357	10	estimates	estimate	NOUN
ap-6065	357	11	in	in	ADP
ap-6065	357	12	the	the	DET
ap-6065	357	13	h1	h1	NOUN
ap-6065	357	14	-	-	PUNCT
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ap-6065	357	16	.	.	PUNCT
ap-6065	358	1	appl	appl	PROPN
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ap-6065	358	4	,	,	PUNCT
ap-6065	358	5	2015	2015	NUM
ap-6065	358	6	.	.	PUNCT
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ap-6065	359	4	-	-	PUNCT
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ap-6065	359	6	-	-	PUNCT
ap-6065	359	7	0113	0113	NUM
ap-6065	359	8	-	-	SYM
ap-6065	359	9	7	7	NUM
ap-6065	359	10	.	.	PUNCT
ap-6065	360	1	[	[	X
ap-6065	360	2	28	28	NUM
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ap-6065	360	4	m.	m.	NOUN
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ap-6065	360	8	r.	r.	PROPN
ap-6065	360	9	bloecher	bloecher	PROPN
ap-6065	360	10	.	.	PUNCT
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ap-6065	361	5	.	.	PUNCT
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ap-6065	362	4	,	,	PUNCT
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ap-6065	362	6	.	.	PUNCT
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ap-6065	364	4	j.	j.	PROPN
ap-6065	364	5	dusek	dusek	PROPN
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ap-6065	364	8	dohnal	dohnal	PROPN
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ap-6065	364	10	t.	t.	PROPN
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ap-6065	364	12	.	.	PUNCT
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ap-6065	365	2	analysis	analysis	NOUN
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ap-6065	365	4	ponded	ponded	ADJ
ap-6065	365	5	infiltration	infiltration	NOUN
ap-6065	365	6	experiment	experiment	NOUN
ap-6065	365	7	under	under	ADP
ap-6065	365	8	different	different	ADJ
ap-6065	365	9	experimental	experimental	ADJ
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ap-6065	366	5	4(special	4(special	DET
ap-6065	366	6	issue	issue	NOUN
ap-6065	366	7	2):22–27	2):22–27	NUM
ap-6065	366	8	,	,	PUNCT
ap-6065	366	9	2009	2009	NUM
ap-6065	366	10	.	.	PUNCT
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ap-6065	367	2	-	-	PUNCT
ap-6065	367	3	swr	swr	ADJ
ap-6065	367	4	.	.	PUNCT
ap-6065	368	1	67	67	NUM
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ap-6065	368	5	http://dx.doi.org/10.1007/s00607-012-0279-8	http://dx.doi.org/10.1007/s00607-012-0279-8	PUNCT
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ap-6065	369	8	http://dx.doi.org/10.1016/j.cam.2009.11.056	http://dx.doi.org/10.1016/j.cam.2009.11.056	PROPN
ap-6065	370	1	http://dx.doi.org/10.1137/10078356x	http://dx.doi.org/10.1137/10078356x	PROPN
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ap-6065	370	4	http://dx.doi.org/10.17221/1368-swr	http://dx.doi.org/10.17221/1368-swr	PROPN
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ap-6065	370	10	1	1	NUM
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ap-6065	370	12	2	2	NUM
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ap-6065	370	15	2.1	2.1	NUM
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ap-6065	370	17	boundary	boundary	ADJ
ap-6065	370	18	value	value	NOUN
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ap-6065	370	20	3	3	NUM
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ap-6065	370	29	-	-	PUNCT
ap-6065	370	30	time	time	NOUN
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ap-6065	370	35	space	space	NOUN
ap-6065	370	36	3.3	3.3	NUM
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ap-6065	370	38	discretization	discretization	NOUN
ap-6065	370	39	3.4	3.4	NUM
ap-6065	370	40	numerical	numerical	ADJ
ap-6065	370	41	realization	realization	NOUN
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ap-6065	370	43	seepage	seepage	NOUN
ap-6065	370	44	face	face	NOUN
ap-6065	370	45	boundary	boundary	NOUN
ap-6065	370	46	(	(	PUNCT
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ap-6065	370	48	)	)	PUNCT
ap-6065	370	49	3.5	3.5	NUM
ap-6065	370	50	time	time	NOUN
ap-6065	370	51	discretization	discretization	NOUN
ap-6065	370	52	3.6	3.6	NUM
ap-6065	370	53	solution	solution	NOUN
ap-6065	370	54	of	of	ADP
ap-6065	370	55	the	the	DET
ap-6065	370	56	discrete	discrete	ADJ
ap-6065	370	57	problem	problem	NOUN
ap-6065	370	58	4	4	NUM
ap-6065	370	59	sr	sr	PROPN
ap-6065	370	60	experiment	experiment	NOUN
ap-6065	370	61	setup	setup	NOUN
ap-6065	370	62	4.1	4.1	NUM
ap-6065	370	63	numerical	numerical	ADJ
ap-6065	370	64	results	result	NOUN
ap-6065	370	65	references	reference	NOUN