id	sid	tid	token	lemma	pos
fumecheng-4407	1	1	facta	facta	PROPN
fumecheng-4407	1	2	universitatis	universitatis	PROPN
fumecheng-4407	1	3	series	series	NOUN
fumecheng-4407	1	4	:	:	PUNCT
fumecheng-4407	1	5	mechanical	mechanical	ADJ
fumecheng-4407	1	6	engineering	engineering	NOUN
fumecheng-4407	1	7	vol	vol	NOUN
fumecheng-4407	1	8	.	.	PUNCT
fumecheng-4407	2	1	16	16	NUM
fumecheng-4407	2	2	,	,	PUNCT
fumecheng-4407	2	3	no	no	DET
fumecheng-4407	2	4	3	3	NUM
fumecheng-4407	2	5	,	,	PUNCT
fumecheng-4407	2	6	2018	2018	NUM
fumecheng-4407	2	7	,	,	PUNCT
fumecheng-4407	2	8	pp	pp	ADV
fumecheng-4407	2	9	.	.	PUNCT
fumecheng-4407	3	1	405	405	NUM
fumecheng-4407	3	2	417	417	NUM
fumecheng-4407	3	3	https://doi.org/10.22190/fume180912034b	https://doi.org/10.22190/fume180912034b	PROPN
fumecheng-4407	3	4	©	©	PROPN
fumecheng-4407	3	5	2018	2018	NUM
fumecheng-4407	3	6	by	by	ADP
fumecheng-4407	3	7	university	university	PROPN
fumecheng-4407	3	8	of	of	ADP
fumecheng-4407	3	9	niš	niš	PROPN
fumecheng-4407	3	10	,	,	PUNCT
fumecheng-4407	3	11	serbia	serbia	PROPN
fumecheng-4407	3	12	|	|	ADV
fumecheng-4407	3	13	creative	creative	ADJ
fumecheng-4407	3	14	commons	common	NOUN
fumecheng-4407	3	15	license	license	NOUN
fumecheng-4407	3	16	:	:	PUNCT
fumecheng-4407	3	17	cc	cc	VERB
fumecheng-4407	3	18	by	by	ADP
fumecheng-4407	3	19	-	-	PUNCT
fumecheng-4407	3	20	nc	nc	VERB
fumecheng-4407	3	21	-	-	PUNCT
fumecheng-4407	3	22	nd	nd	ADV
fumecheng-4407	3	23	original	original	ADJ
fumecheng-4407	3	24	scientific	scientific	ADJ
fumecheng-4407	3	25	paper	paper	NOUN
fumecheng-4407	3	26	efficient	efficient	ADJ
fumecheng-4407	3	27	calculation	calculation	NOUN
fumecheng-4407	3	28	of	of	ADP
fumecheng-4407	3	29	the	the	DET
fumecheng-4407	3	30	bem	bem	NOUN
fumecheng-4407	3	31	integrals	integral	NOUN
fumecheng-4407	3	32	on	on	ADP
fumecheng-4407	3	33	arbitrary	arbitrary	ADJ
fumecheng-4407	3	34	shapes	shape	NOUN
fumecheng-4407	3	35	with	with	ADP
fumecheng-4407	3	36	the	the	DET
fumecheng-4407	3	37	fft	fft	PROPN
fumecheng-4407	3	38	udc	udc	NOUN
fumecheng-4407	3	39	519.6:539.3	519.6:539.3	PROPN
fumecheng-4407	3	40	justus	justus	PROPN
fumecheng-4407	3	41	benad	benad	PROPN
fumecheng-4407	3	42	berlin	berlin	PROPN
fumecheng-4407	3	43	university	university	PROPN
fumecheng-4407	3	44	of	of	ADP
fumecheng-4407	3	45	technology	technology	PROPN
fumecheng-4407	3	46	,	,	PUNCT
fumecheng-4407	3	47	berlin	berlin	PROPN
fumecheng-4407	3	48	,	,	PUNCT
fumecheng-4407	3	49	germany	germany	PROPN
fumecheng-4407	3	50	abstract	abstract	NOUN
fumecheng-4407	3	51	.	.	PUNCT
fumecheng-4407	4	1	this	this	DET
fumecheng-4407	4	2	paper	paper	NOUN
fumecheng-4407	4	3	builds	build	VERB
fumecheng-4407	4	4	upon	upon	SCONJ
fumecheng-4407	4	5	the	the	DET
fumecheng-4407	4	6	results	result	NOUN
fumecheng-4407	4	7	of	of	ADP
fumecheng-4407	4	8	a	a	DET
fumecheng-4407	4	9	recent	recent	ADJ
fumecheng-4407	4	10	study	study	NOUN
fumecheng-4407	4	11	which	which	PRON
fumecheng-4407	4	12	illustrates	illustrate	VERB
fumecheng-4407	4	13	how	how	SCONJ
fumecheng-4407	4	14	the	the	DET
fumecheng-4407	4	15	fast	fast	ADJ
fumecheng-4407	4	16	fourier	fourier	NOUN
fumecheng-4407	4	17	transformation	transformation	NOUN
fumecheng-4407	4	18	(	(	PUNCT
fumecheng-4407	4	19	fft	fft	PROPN
fumecheng-4407	4	20	)	)	PUNCT
fumecheng-4407	4	21	can	can	AUX
fumecheng-4407	4	22	be	be	AUX
fumecheng-4407	4	23	used	use	VERB
fumecheng-4407	4	24	to	to	PART
fumecheng-4407	4	25	accelerate	accelerate	VERB
fumecheng-4407	4	26	the	the	DET
fumecheng-4407	4	27	boundary	boundary	ADJ
fumecheng-4407	4	28	element	element	NOUN
fumecheng-4407	4	29	method	method	NOUN
fumecheng-4407	4	30	(	(	PUNCT
fumecheng-4407	4	31	bem	bem	PROPN
fumecheng-4407	4	32	)	)	PUNCT
fumecheng-4407	4	33	for	for	ADP
fumecheng-4407	4	34	arbitrary	arbitrary	ADJ
fumecheng-4407	4	35	shapes	shape	NOUN
fumecheng-4407	4	36	.	.	PUNCT
fumecheng-4407	5	1	in	in	ADP
fumecheng-4407	5	2	the	the	DET
fumecheng-4407	5	3	present	present	ADJ
fumecheng-4407	5	4	work	work	NOUN
fumecheng-4407	5	5	,	,	PUNCT
fumecheng-4407	5	6	we	we	PRON
fumecheng-4407	5	7	further	far	ADV
fumecheng-4407	5	8	deepen	deepen	VERB
fumecheng-4407	5	9	this	this	DET
fumecheng-4407	5	10	understanding	understanding	NOUN
fumecheng-4407	5	11	and	and	CCONJ
fumecheng-4407	5	12	focus	focus	VERB
fumecheng-4407	5	13	especially	especially	ADV
fumecheng-4407	5	14	on	on	ADP
fumecheng-4407	5	15	implementation	implementation	NOUN
fumecheng-4407	5	16	details	detail	NOUN
fumecheng-4407	5	17	in	in	ADP
fumecheng-4407	5	18	order	order	NOUN
fumecheng-4407	5	19	to	to	PART
fumecheng-4407	5	20	calculate	calculate	VERB
fumecheng-4407	5	21	the	the	DET
fumecheng-4407	5	22	boundary	boundary	ADJ
fumecheng-4407	5	23	integrals	integral	NOUN
fumecheng-4407	5	24	with	with	ADP
fumecheng-4407	5	25	the	the	DET
fumecheng-4407	5	26	fft	fft	PROPN
fumecheng-4407	5	27	.	.	PUNCT
fumecheng-4407	6	1	different	different	ADJ
fumecheng-4407	6	2	numerical	numerical	ADJ
fumecheng-4407	6	3	techniques	technique	NOUN
fumecheng-4407	6	4	are	be	AUX
fumecheng-4407	6	5	compared	compare	VERB
fumecheng-4407	6	6	for	for	ADP
fumecheng-4407	6	7	an	an	DET
fumecheng-4407	6	8	exemplary	exemplary	ADJ
fumecheng-4407	6	9	shape	shape	NOUN
fumecheng-4407	6	10	.	.	PUNCT
fumecheng-4407	7	1	also	also	ADV
fumecheng-4407	7	2	,	,	PUNCT
fumecheng-4407	7	3	additions	addition	NOUN
fumecheng-4407	7	4	to	to	ADP
fumecheng-4407	7	5	the	the	DET
fumecheng-4407	7	6	concept	concept	NOUN
fumecheng-4407	7	7	are	be	AUX
fumecheng-4407	7	8	mentioned	mention	VERB
fumecheng-4407	7	9	such	such	ADJ
fumecheng-4407	7	10	as	as	ADP
fumecheng-4407	7	11	the	the	DET
fumecheng-4407	7	12	introduction	introduction	NOUN
fumecheng-4407	7	13	of	of	ADP
fumecheng-4407	7	14	a	a	DET
fumecheng-4407	7	15	high	high	ADJ
fumecheng-4407	7	16	-	-	PUNCT
fumecheng-4407	7	17	resolution	resolution	NOUN
fumecheng-4407	7	18	grid	grid	NOUN
fumecheng-4407	7	19	close	close	ADV
fumecheng-4407	7	20	to	to	ADP
fumecheng-4407	7	21	the	the	DET
fumecheng-4407	7	22	boundary	boundary	NOUN
fumecheng-4407	7	23	and	and	CCONJ
fumecheng-4407	7	24	a	a	DET
fumecheng-4407	7	25	low	low	ADJ
fumecheng-4407	7	26	-	-	PUNCT
fumecheng-4407	7	27	resolution	resolution	NOUN
fumecheng-4407	7	28	grid	grid	NOUN
fumecheng-4407	7	29	farther	far	ADV
fumecheng-4407	7	30	away	away	ADV
fumecheng-4407	7	31	.	.	PUNCT
fumecheng-4407	8	1	key	key	ADJ
fumecheng-4407	8	2	words	word	NOUN
fumecheng-4407	8	3	:	:	PUNCT
fumecheng-4407	8	4	laplace	laplace	NOUN
fumecheng-4407	8	5	equation	equation	NOUN
fumecheng-4407	8	6	,	,	PUNCT
fumecheng-4407	8	7	navier	navier	NOUN
fumecheng-4407	8	8	equation	equation	NOUN
fumecheng-4407	8	9	,	,	PUNCT
fumecheng-4407	8	10	boundary	boundary	ADJ
fumecheng-4407	8	11	element	element	NOUN
fumecheng-4407	8	12	method	method	NOUN
fumecheng-4407	8	13	,	,	PUNCT
fumecheng-4407	8	14	fft	fft	PROPN
fumecheng-4407	8	15	1	1	NUM
fumecheng-4407	8	16	.	.	PUNCT
fumecheng-4407	8	17	introduction	introduction	NOUN
fumecheng-4407	8	18	over	over	ADP
fumecheng-4407	8	19	the	the	DET
fumecheng-4407	8	20	past	past	ADJ
fumecheng-4407	8	21	years	year	NOUN
fumecheng-4407	8	22	,	,	PUNCT
fumecheng-4407	8	23	the	the	DET
fumecheng-4407	8	24	boundary	boundary	ADJ
fumecheng-4407	8	25	element	element	NOUN
fumecheng-4407	8	26	method	method	NOUN
fumecheng-4407	8	27	(	(	PUNCT
fumecheng-4407	8	28	bem	bem	PROPN
fumecheng-4407	8	29	)	)	PUNCT
fumecheng-4407	8	30	has	have	AUX
fumecheng-4407	8	31	become	become	VERB
fumecheng-4407	8	32	a	a	DET
fumecheng-4407	8	33	highly	highly	ADV
fumecheng-4407	8	34	efficient	efficient	ADJ
fumecheng-4407	8	35	tool	tool	NOUN
fumecheng-4407	8	36	in	in	ADP
fumecheng-4407	8	37	contact	contact	NOUN
fumecheng-4407	8	38	mechanics	mechanic	NOUN
fumecheng-4407	8	39	for	for	ADP
fumecheng-4407	8	40	the	the	DET
fumecheng-4407	8	41	calculation	calculation	NOUN
fumecheng-4407	8	42	of	of	ADP
fumecheng-4407	8	43	the	the	DET
fumecheng-4407	8	44	deformations	deformation	NOUN
fumecheng-4407	8	45	and	and	CCONJ
fumecheng-4407	8	46	stresses	stress	NOUN
fumecheng-4407	8	47	with	with	ADP
fumecheng-4407	8	48	the	the	DET
fumecheng-4407	8	49	half	half	ADJ
fumecheng-4407	8	50	-	-	PUNCT
fumecheng-4407	8	51	space	space	NOUN
fumecheng-4407	8	52	approximation	approximation	NOUN
fumecheng-4407	8	53	[	[	X
fumecheng-4407	8	54	1	1	NUM
fumecheng-4407	8	55	,	,	PUNCT
fumecheng-4407	8	56	2	2	NUM
fumecheng-4407	8	57	]	]	PUNCT
fumecheng-4407	8	58	.	.	PUNCT
fumecheng-4407	9	1	the	the	DET
fumecheng-4407	9	2	boundary	boundary	ADJ
fumecheng-4407	9	3	integral	integral	ADJ
fumecheng-4407	9	4	equations	equation	NOUN
fumecheng-4407	9	5	are	be	AUX
fumecheng-4407	9	6	simple	simple	ADJ
fumecheng-4407	9	7	convolutions	convolution	NOUN
fumecheng-4407	9	8	over	over	ADP
fumecheng-4407	9	9	the	the	DET
fumecheng-4407	9	10	surface	surface	NOUN
fumecheng-4407	9	11	of	of	ADP
fumecheng-4407	9	12	a	a	DET
fumecheng-4407	9	13	half	half	ADJ
fumecheng-4407	9	14	-	-	PUNCT
fumecheng-4407	9	15	space	space	NOUN
fumecheng-4407	9	16	which	which	PRON
fumecheng-4407	9	17	can	can	AUX
fumecheng-4407	9	18	be	be	AUX
fumecheng-4407	9	19	evaluated	evaluate	VERB
fumecheng-4407	9	20	rapidly	rapidly	ADV
fumecheng-4407	9	21	with	with	ADP
fumecheng-4407	9	22	the	the	DET
fumecheng-4407	9	23	fast	fast	ADJ
fumecheng-4407	9	24	fourier	fourier	NOUN
fumecheng-4407	9	25	transformation	transformation	NOUN
fumecheng-4407	9	26	(	(	PUNCT
fumecheng-4407	9	27	fft	fft	PROPN
fumecheng-4407	9	28	)	)	PUNCT
fumecheng-4407	10	1	[	[	X
fumecheng-4407	10	2	3	3	NUM
fumecheng-4407	10	3	,	,	PUNCT
fumecheng-4407	10	4	4	4	NUM
fumecheng-4407	10	5	]	]	PUNCT
fumecheng-4407	10	6	.	.	PUNCT
fumecheng-4407	11	1	for	for	ADP
fumecheng-4407	11	2	many	many	ADJ
fumecheng-4407	11	3	practical	practical	ADJ
fumecheng-4407	11	4	applications	application	NOUN
fumecheng-4407	11	5	,	,	PUNCT
fumecheng-4407	11	6	however	however	ADV
fumecheng-4407	11	7	,	,	PUNCT
fumecheng-4407	11	8	the	the	DET
fumecheng-4407	11	9	complex	complex	ADJ
fumecheng-4407	11	10	geometry	geometry	NOUN
fumecheng-4407	11	11	of	of	ADP
fumecheng-4407	11	12	the	the	DET
fumecheng-4407	11	13	contacting	contact	VERB
fumecheng-4407	11	14	bodies	body	NOUN
fumecheng-4407	11	15	exceeds	exceed	VERB
fumecheng-4407	11	16	the	the	DET
fumecheng-4407	11	17	limitations	limitation	NOUN
fumecheng-4407	11	18	of	of	ADP
fumecheng-4407	11	19	the	the	DET
fumecheng-4407	11	20	half	half	ADJ
fumecheng-4407	11	21	-	-	PUNCT
fumecheng-4407	11	22	space	space	NOUN
fumecheng-4407	11	23	approximation	approximation	NOUN
fumecheng-4407	11	24	.	.	PUNCT
fumecheng-4407	12	1	one	one	NUM
fumecheng-4407	12	2	of	of	ADP
fumecheng-4407	12	3	these	these	DET
fumecheng-4407	12	4	fields	field	NOUN
fumecheng-4407	12	5	is	be	AUX
fumecheng-4407	12	6	the	the	DET
fumecheng-4407	12	7	modeling	modeling	NOUN
fumecheng-4407	12	8	of	of	ADP
fumecheng-4407	12	9	deformations	deformation	NOUN
fumecheng-4407	12	10	and	and	CCONJ
fumecheng-4407	12	11	stresses	stress	NOUN
fumecheng-4407	12	12	in	in	ADP
fumecheng-4407	12	13	bio	bio	PROPN
fumecheng-4407	12	14	mechanics	mechanic	NOUN
fumecheng-4407	12	15	,	,	PUNCT
fumecheng-4407	12	16	where	where	SCONJ
fumecheng-4407	12	17	the	the	DET
fumecheng-4407	12	18	complex	complex	ADJ
fumecheng-4407	12	19	geometries	geometry	NOUN
fumecheng-4407	12	20	of	of	ADP
fumecheng-4407	12	21	joints	joint	NOUN
fumecheng-4407	12	22	such	such	ADJ
fumecheng-4407	12	23	as	as	ADP
fumecheng-4407	12	24	the	the	DET
fumecheng-4407	12	25	hip	hip	NOUN
fumecheng-4407	12	26	and	and	CCONJ
fumecheng-4407	12	27	the	the	DET
fumecheng-4407	12	28	knee	knee	NOUN
fumecheng-4407	12	29	joint	joint	NOUN
fumecheng-4407	12	30	(	(	PUNCT
fumecheng-4407	12	31	see	see	VERB
fumecheng-4407	12	32	for	for	ADP
fumecheng-4407	12	33	example	example	NOUN
fumecheng-4407	12	34	[	[	X
fumecheng-4407	12	35	5	5	NUM
fumecheng-4407	12	36	,	,	PUNCT
fumecheng-4407	12	37	6	6	NUM
fumecheng-4407	12	38	]	]	NUM
fumecheng-4407	12	39	)	)	PUNCT
fumecheng-4407	12	40	,	,	PUNCT
fumecheng-4407	12	41	clearly	clearly	ADV
fumecheng-4407	12	42	exceed	exceed	VERB
fumecheng-4407	12	43	the	the	DET
fumecheng-4407	12	44	range	range	NOUN
fumecheng-4407	12	45	of	of	ADP
fumecheng-4407	12	46	application	application	NOUN
fumecheng-4407	12	47	of	of	ADP
fumecheng-4407	12	48	the	the	DET
fumecheng-4407	12	49	half	half	ADJ
fumecheng-4407	12	50	-	-	PUNCT
fumecheng-4407	12	51	space	space	NOUN
fumecheng-4407	12	52	theory	theory	NOUN
fumecheng-4407	12	53	.	.	PUNCT
fumecheng-4407	13	1	another	another	DET
fumecheng-4407	13	2	field	field	NOUN
fumecheng-4407	13	3	is	be	AUX
fumecheng-4407	13	4	given	give	VERB
fumecheng-4407	13	5	by	by	ADP
fumecheng-4407	13	6	a	a	DET
fumecheng-4407	13	7	wide	wide	ADJ
fumecheng-4407	13	8	range	range	NOUN
fumecheng-4407	13	9	of	of	ADP
fumecheng-4407	13	10	aerospace	aerospace	NOUN
fumecheng-4407	13	11	applications	application	NOUN
fumecheng-4407	13	12	,	,	PUNCT
fumecheng-4407	13	13	such	such	ADJ
fumecheng-4407	13	14	as	as	ADP
fumecheng-4407	13	15	the	the	DET
fumecheng-4407	13	16	simulation	simulation	NOUN
fumecheng-4407	13	17	of	of	ADP
fumecheng-4407	13	18	deformations	deformation	NOUN
fumecheng-4407	13	19	and	and	CCONJ
fumecheng-4407	13	20	stresses	stress	NOUN
fumecheng-4407	13	21	in	in	ADP
fumecheng-4407	13	22	highly	highly	ADV
fumecheng-4407	13	23	stressed	stressed	ADJ
fumecheng-4407	13	24	parts	part	NOUN
fumecheng-4407	13	25	of	of	ADP
fumecheng-4407	13	26	aircraft	aircraft	NOUN
fumecheng-4407	13	27	engines	engine	NOUN
fumecheng-4407	13	28	.	.	PUNCT
fumecheng-4407	14	1	turbine	turbine	NOUN
fumecheng-4407	14	2	blades	blade	NOUN
fumecheng-4407	14	3	and	and	CCONJ
fumecheng-4407	14	4	discs	disc	NOUN
fumecheng-4407	14	5	are	be	AUX
fumecheng-4407	14	6	among	among	ADP
fumecheng-4407	14	7	these	these	DET
fumecheng-4407	14	8	critical	critical	ADJ
fumecheng-4407	14	9	components	component	NOUN
fumecheng-4407	14	10	[	[	X
fumecheng-4407	14	11	7	7	NUM
fumecheng-4407	14	12	,	,	PUNCT
fumecheng-4407	14	13	8	8	NUM
fumecheng-4407	14	14	]	]	PUNCT
fumecheng-4407	14	15	.	.	PUNCT
fumecheng-4407	15	1	highly	highly	ADV
fumecheng-4407	15	2	undulating	undulate	VERB
fumecheng-4407	15	3	surfaces	surface	NOUN
fumecheng-4407	15	4	,	,	PUNCT
fumecheng-4407	15	5	cooling	cool	VERB
fumecheng-4407	15	6	holes	hole	NOUN
fumecheng-4407	15	7	,	,	PUNCT
fumecheng-4407	15	8	and	and	CCONJ
fumecheng-4407	15	9	other	other	ADJ
fumecheng-4407	15	10	complex	complex	ADJ
fumecheng-4407	15	11	geometrical	geometrical	ADJ
fumecheng-4407	15	12	elements	element	NOUN
fumecheng-4407	15	13	in	in	ADP
fumecheng-4407	15	14	close	close	ADJ
fumecheng-4407	15	15	proximity	proximity	NOUN
fumecheng-4407	15	16	to	to	ADP
fumecheng-4407	15	17	the	the	DET
fumecheng-4407	15	18	contact	contact	NOUN
fumecheng-4407	15	19	regions	region	NOUN
fumecheng-4407	15	20	of	of	ADP
fumecheng-4407	15	21	turbine	turbine	NOUN
fumecheng-4407	15	22	blade	blade	NOUN
fumecheng-4407	15	23	fir	fir	NOUN
fumecheng-4407	15	24	-	-	PUNCT
fumecheng-4407	15	25	tree	tree	NOUN
fumecheng-4407	15	26	connections	connection	NOUN
fumecheng-4407	15	27	cause	cause	VERB
fumecheng-4407	15	28	difficulties	difficulty	NOUN
fumecheng-4407	15	29	when	when	SCONJ
fumecheng-4407	15	30	using	use	VERB
fumecheng-4407	15	31	the	the	DET
fumecheng-4407	15	32	half	half	ADJ
fumecheng-4407	15	33	-	-	PUNCT
fumecheng-4407	15	34	space	space	NOUN
fumecheng-4407	15	35	theory	theory	NOUN
fumecheng-4407	15	36	to	to	ADP
fumecheng-4407	15	37	model	model	VERB
fumecheng-4407	15	38	deformations	deformation	NOUN
fumecheng-4407	15	39	and	and	CCONJ
fumecheng-4407	15	40	stresses	stress	VERB
fumecheng-4407	15	41	[	[	X
fumecheng-4407	15	42	9	9	NUM
fumecheng-4407	15	43	]	]	PUNCT
fumecheng-4407	15	44	.	.	PUNCT
fumecheng-4407	16	1	therefore	therefore	ADV
fumecheng-4407	16	2	,	,	PUNCT
fumecheng-4407	16	3	other	other	ADJ
fumecheng-4407	16	4	modeling	modeling	NOUN
fumecheng-4407	16	5	techniques	technique	NOUN
fumecheng-4407	16	6	received	receive	VERB
fumecheng-4407	16	7	september	september	PROPN
fumecheng-4407	16	8	12	12	NUM
fumecheng-4407	16	9	,	,	PUNCT
fumecheng-4407	16	10	2018	2018	NUM
fumecheng-4407	16	11	/	/	PUNCT
fumecheng-4407	16	12	accepted	accept	VERB
fumecheng-4407	16	13	november	november	PROPN
fumecheng-4407	16	14	10	10	NUM
fumecheng-4407	16	15	,	,	PUNCT
fumecheng-4407	16	16	2018	2018	NUM
fumecheng-4407	16	17	corresponding	correspond	VERB
fumecheng-4407	16	18	author	author	NOUN
fumecheng-4407	16	19	:	:	PUNCT
fumecheng-4407	16	20	justus	justus	PROPN
fumecheng-4407	16	21	benad	benad	PROPN
fumecheng-4407	16	22	tu	tu	PROPN
fumecheng-4407	16	23	berlin	berlin	PROPN
fumecheng-4407	16	24	,	,	PUNCT
fumecheng-4407	16	25	institut	institut	PROPN
fumecheng-4407	16	26	für	für	PROPN
fumecheng-4407	16	27	mechanik	mechanik	PROPN
fumecheng-4407	16	28	,	,	PUNCT
fumecheng-4407	16	29	fg	fg	PROPN
fumecheng-4407	16	30	systemdynamik	systemdynamik	PROPN
fumecheng-4407	16	31	und	und	NOUN
fumecheng-4407	16	32	reibungsphysik	reibungsphysik	NOUN
fumecheng-4407	16	33	,	,	PUNCT
fumecheng-4407	16	34	str	str	NOUN
fumecheng-4407	16	35	.	.	PUNCT
fumecheng-4407	17	1	d.17	d.17	PROPN
fumecheng-4407	17	2	.	.	PROPN
fumecheng-4407	17	3	juni	juni	PROPN
fumecheng-4407	17	4	135	135	NUM
fumecheng-4407	17	5	,	,	PUNCT
fumecheng-4407	17	6	10623	10623	NUM
fumecheng-4407	17	7	berlin	berlin	PROPN
fumecheng-4407	17	8	,	,	PUNCT
fumecheng-4407	17	9	de	de	PROPN
fumecheng-4407	17	10	e	e	NOUN
fumecheng-4407	17	11	-	-	NOUN
fumecheng-4407	17	12	mail	mail	NOUN
fumecheng-4407	17	13	:	:	PUNCT
fumecheng-4407	17	14	mail@jbenad.com	mail@jbenad.com	X
fumecheng-4407	17	15	406	406	NUM
fumecheng-4407	17	16	j.	j.	PROPN
fumecheng-4407	17	17	benad	benad	PROPN
fumecheng-4407	17	18	have	have	VERB
fumecheng-4407	17	19	to	to	PART
fumecheng-4407	17	20	be	be	AUX
fumecheng-4407	17	21	used	use	VERB
fumecheng-4407	17	22	for	for	ADP
fumecheng-4407	17	23	these	these	DET
fumecheng-4407	17	24	kinds	kind	NOUN
fumecheng-4407	17	25	of	of	ADP
fumecheng-4407	17	26	problems	problem	NOUN
fumecheng-4407	17	27	,	,	PUNCT
fumecheng-4407	17	28	such	such	ADJ
fumecheng-4407	17	29	as	as	ADP
fumecheng-4407	17	30	the	the	DET
fumecheng-4407	17	31	finite	finite	ADJ
fumecheng-4407	17	32	element	element	NOUN
fumecheng-4407	17	33	method	method	NOUN
fumecheng-4407	17	34	(	(	PUNCT
fumecheng-4407	17	35	fem	fem	NOUN
fumecheng-4407	17	36	)	)	PUNCT
fumecheng-4407	17	37	or	or	CCONJ
fumecheng-4407	17	38	the	the	DET
fumecheng-4407	17	39	classical	classical	ADJ
fumecheng-4407	17	40	bem	bem	NOUN
fumecheng-4407	17	41	for	for	ADP
fumecheng-4407	17	42	arbitrary	arbitrary	ADJ
fumecheng-4407	17	43	shapes	shape	NOUN
fumecheng-4407	17	44	[	[	X
fumecheng-4407	17	45	10	10	NUM
fumecheng-4407	17	46	]	]	PUNCT
fumecheng-4407	17	47	.	.	PUNCT
fumecheng-4407	18	1	generally	generally	ADV
fumecheng-4407	18	2	,	,	PUNCT
fumecheng-4407	18	3	this	this	PRON
fumecheng-4407	18	4	comes	come	VERB
fumecheng-4407	18	5	at	at	ADP
fumecheng-4407	18	6	the	the	DET
fumecheng-4407	18	7	cost	cost	NOUN
fumecheng-4407	18	8	of	of	ADP
fumecheng-4407	18	9	a	a	DET
fumecheng-4407	18	10	much	much	ADV
fumecheng-4407	18	11	higher	high	ADJ
fumecheng-4407	18	12	computational	computational	ADJ
fumecheng-4407	18	13	complexity	complexity	NOUN
fumecheng-4407	18	14	.	.	PUNCT
fumecheng-4407	19	1	many	many	ADJ
fumecheng-4407	19	2	valuable	valuable	ADJ
fumecheng-4407	19	3	methods	method	NOUN
fumecheng-4407	19	4	have	have	AUX
fumecheng-4407	19	5	been	be	AUX
fumecheng-4407	19	6	proposed	propose	VERB
fumecheng-4407	19	7	in	in	ADP
fumecheng-4407	19	8	the	the	DET
fumecheng-4407	19	9	past	past	NOUN
fumecheng-4407	19	10	to	to	PART
fumecheng-4407	19	11	reduce	reduce	VERB
fumecheng-4407	19	12	the	the	DET
fumecheng-4407	19	13	computational	computational	ADJ
fumecheng-4407	19	14	complexity	complexity	NOUN
fumecheng-4407	19	15	of	of	ADP
fumecheng-4407	19	16	both	both	CCONJ
fumecheng-4407	19	17	the	the	DET
fumecheng-4407	19	18	fem	fem	NOUN
fumecheng-4407	19	19	and	and	CCONJ
fumecheng-4407	19	20	the	the	DET
fumecheng-4407	19	21	classical	classical	ADJ
fumecheng-4407	19	22	bem	bem	NOUN
fumecheng-4407	19	23	for	for	ADP
fumecheng-4407	19	24	arbitrary	arbitrary	ADJ
fumecheng-4407	19	25	shapes	shape	NOUN
fumecheng-4407	19	26	[	[	X
fumecheng-4407	19	27	10	10	NUM
fumecheng-4407	19	28	-	-	SYM
fumecheng-4407	19	29	14	14	NUM
fumecheng-4407	19	30	]	]	PUNCT
fumecheng-4407	19	31	.	.	PUNCT
fumecheng-4407	20	1	a	a	DET
fumecheng-4407	20	2	recent	recent	ADJ
fumecheng-4407	20	3	study	study	NOUN
fumecheng-4407	20	4	[	[	X
fumecheng-4407	20	5	15	15	NUM
fumecheng-4407	20	6	]	]	PUNCT
fumecheng-4407	20	7	illustrates	illustrate	VERB
fumecheng-4407	20	8	how	how	SCONJ
fumecheng-4407	20	9	the	the	DET
fumecheng-4407	20	10	classical	classical	ADJ
fumecheng-4407	20	11	bem	bem	NOUN
fumecheng-4407	20	12	for	for	ADP
fumecheng-4407	20	13	arbitrary	arbitrary	ADJ
fumecheng-4407	20	14	shapes	shape	NOUN
fumecheng-4407	20	15	can	can	AUX
fumecheng-4407	20	16	be	be	AUX
fumecheng-4407	20	17	accelerated	accelerate	VERB
fumecheng-4407	20	18	with	with	ADP
fumecheng-4407	20	19	the	the	DET
fumecheng-4407	20	20	fft	fft	NOUN
fumecheng-4407	20	21	in	in	ADP
fumecheng-4407	20	22	a	a	DET
fumecheng-4407	20	23	similar	similar	ADJ
fumecheng-4407	20	24	way	way	NOUN
fumecheng-4407	20	25	as	as	SCONJ
fumecheng-4407	20	26	it	it	PRON
fumecheng-4407	20	27	is	be	AUX
fumecheng-4407	20	28	done	do	VERB
fumecheng-4407	20	29	with	with	ADP
fumecheng-4407	20	30	great	great	ADJ
fumecheng-4407	20	31	success	success	NOUN
fumecheng-4407	20	32	in	in	ADP
fumecheng-4407	20	33	contact	contact	NOUN
fumecheng-4407	20	34	mechanics	mechanic	NOUN
fumecheng-4407	20	35	within	within	ADP
fumecheng-4407	20	36	the	the	DET
fumecheng-4407	20	37	framework	framework	NOUN
fumecheng-4407	20	38	of	of	ADP
fumecheng-4407	20	39	the	the	DET
fumecheng-4407	20	40	half	half	ADJ
fumecheng-4407	20	41	-	-	PUNCT
fumecheng-4407	20	42	space	space	NOUN
fumecheng-4407	20	43	approximation	approximation	NOUN
fumecheng-4407	20	44	.	.	PUNCT
fumecheng-4407	21	1	the	the	DET
fumecheng-4407	21	2	study	study	NOUN
fumecheng-4407	21	3	highlights	highlight	NOUN
fumecheng-4407	21	4	that	that	SCONJ
fumecheng-4407	21	5	although	although	SCONJ
fumecheng-4407	21	6	the	the	DET
fumecheng-4407	21	7	boundary	boundary	ADJ
fumecheng-4407	21	8	integrals	integral	NOUN
fumecheng-4407	21	9	of	of	ADP
fumecheng-4407	21	10	the	the	DET
fumecheng-4407	21	11	bem	bem	PROPN
fumecheng-4407	21	12	are	be	AUX
fumecheng-4407	21	13	not	not	PART
fumecheng-4407	21	14	simple	simple	ADJ
fumecheng-4407	21	15	convolutions	convolution	NOUN
fumecheng-4407	21	16	over	over	ADP
fumecheng-4407	21	17	the	the	DET
fumecheng-4407	21	18	boundary	boundary	NOUN
fumecheng-4407	21	19	of	of	ADP
fumecheng-4407	21	20	arbitrary	arbitrary	ADJ
fumecheng-4407	21	21	shapes	shape	NOUN
fumecheng-4407	21	22	,	,	PUNCT
fumecheng-4407	21	23	they	they	PRON
fumecheng-4407	21	24	can	can	AUX
fumecheng-4407	21	25	still	still	ADV
fumecheng-4407	21	26	be	be	AUX
fumecheng-4407	21	27	regarded	regard	VERB
fumecheng-4407	21	28	as	as	ADP
fumecheng-4407	21	29	convolutions	convolution	NOUN
fumecheng-4407	21	30	over	over	ADP
fumecheng-4407	21	31	the	the	DET
fumecheng-4407	21	32	space	space	NOUN
fumecheng-4407	21	33	which	which	PRON
fumecheng-4407	21	34	is	be	AUX
fumecheng-4407	21	35	one	one	NUM
fumecheng-4407	21	36	dimension	dimension	NOUN
fumecheng-4407	21	37	higher	high	ADJ
fumecheng-4407	21	38	than	than	ADP
fumecheng-4407	21	39	that	that	PRON
fumecheng-4407	21	40	of	of	ADP
fumecheng-4407	21	41	the	the	DET
fumecheng-4407	21	42	boundary	boundary	NOUN
fumecheng-4407	21	43	.	.	PUNCT
fumecheng-4407	22	1	this	this	PRON
fumecheng-4407	22	2	makes	make	VERB
fumecheng-4407	22	3	the	the	DET
fumecheng-4407	22	4	evaluation	evaluation	NOUN
fumecheng-4407	22	5	of	of	ADP
fumecheng-4407	22	6	the	the	DET
fumecheng-4407	22	7	boundary	boundary	ADJ
fumecheng-4407	22	8	integrals	integral	NOUN
fumecheng-4407	22	9	with	with	ADP
fumecheng-4407	22	10	the	the	DET
fumecheng-4407	22	11	fft	fft	NOUN
fumecheng-4407	22	12	on	on	ADP
fumecheng-4407	22	13	the	the	DET
fumecheng-4407	22	14	surface	surface	NOUN
fumecheng-4407	22	15	of	of	ADP
fumecheng-4407	22	16	an	an	DET
fumecheng-4407	22	17	arbitrary	arbitrary	ADJ
fumecheng-4407	22	18	shape	shape	NOUN
fumecheng-4407	22	19	possible	possible	ADJ
fumecheng-4407	22	20	if	if	SCONJ
fumecheng-4407	22	21	the	the	DET
fumecheng-4407	22	22	dimension	dimension	NOUN
fumecheng-4407	22	23	of	of	ADP
fumecheng-4407	22	24	the	the	DET
fumecheng-4407	22	25	fft	fft	NOUN
fumecheng-4407	22	26	is	be	AUX
fumecheng-4407	22	27	increased	increase	VERB
fumecheng-4407	22	28	.	.	PUNCT
fumecheng-4407	23	1	for	for	ADP
fumecheng-4407	23	2	a	a	DET
fumecheng-4407	23	3	three	three	NUM
fumecheng-4407	23	4	-	-	PUNCT
fumecheng-4407	23	5	dimensional	dimensional	ADJ
fumecheng-4407	23	6	shape	shape	NOUN
fumecheng-4407	23	7	with	with	ADP
fumecheng-4407	23	8	n	n	PRON
fumecheng-4407	23	9	2	2	NUM
fumecheng-4407	23	10	surface	surface	NOUN
fumecheng-4407	23	11	points	point	NOUN
fumecheng-4407	23	12	,	,	PUNCT
fumecheng-4407	23	13	the	the	DET
fumecheng-4407	23	14	computational	computational	ADJ
fumecheng-4407	23	15	complexity	complexity	NOUN
fumecheng-4407	23	16	is	be	AUX
fumecheng-4407	23	17	o(n	o(n	PROPN
fumecheng-4407	23	18	4	4	NUM
fumecheng-4407	23	19	)	)	PUNCT
fumecheng-4407	23	20	to	to	PART
fumecheng-4407	23	21	invert	invert	VERB
fumecheng-4407	23	22	the	the	DET
fumecheng-4407	23	23	classical	classical	ADJ
fumecheng-4407	23	24	bem	bem	NOUN
fumecheng-4407	23	25	matrix	matrix	NOUN
fumecheng-4407	23	26	.	.	PUNCT
fumecheng-4407	24	1	when	when	SCONJ
fumecheng-4407	24	2	the	the	DET
fumecheng-4407	24	3	boundary	boundary	ADJ
fumecheng-4407	24	4	integrals	integral	NOUN
fumecheng-4407	24	5	are	be	AUX
fumecheng-4407	24	6	evaluated	evaluate	VERB
fumecheng-4407	24	7	with	with	ADP
fumecheng-4407	24	8	the	the	DET
fumecheng-4407	24	9	fft	fft	PROPN
fumecheng-4407	24	10	,	,	PUNCT
fumecheng-4407	24	11	this	this	DET
fumecheng-4407	24	12	complexity	complexity	NOUN
fumecheng-4407	24	13	is	be	AUX
fumecheng-4407	24	14	reduced	reduce	VERB
fumecheng-4407	24	15	to	to	ADP
fumecheng-4407	24	16	o(n	o(n	PROPN
fumecheng-4407	24	17	3	3	NUM
fumecheng-4407	24	18	log	log	NOUN
fumecheng-4407	24	19	n	n	ADV
fumecheng-4407	24	20	1.5	1.5	NUM
fumecheng-4407	24	21	)	)	PUNCT
fumecheng-4407	24	22	.	.	PUNCT
fumecheng-4407	25	1	this	this	DET
fumecheng-4407	25	2	reduction	reduction	NOUN
fumecheng-4407	25	3	along	along	ADP
fumecheng-4407	25	4	with	with	ADP
fumecheng-4407	25	5	highly	highly	ADV
fumecheng-4407	25	6	efficient	efficient	ADJ
fumecheng-4407	25	7	implementations	implementation	NOUN
fumecheng-4407	25	8	which	which	PRON
fumecheng-4407	25	9	are	be	AUX
fumecheng-4407	25	10	available	available	ADJ
fumecheng-4407	25	11	for	for	SCONJ
fumecheng-4407	25	12	the	the	DET
fumecheng-4407	25	13	fft	fft	NOUN
fumecheng-4407	25	14	make	make	VERB
fumecheng-4407	25	15	this	this	DET
fumecheng-4407	25	16	technique	technique	NOUN
fumecheng-4407	25	17	appealing	appealing	ADJ
fumecheng-4407	25	18	.	.	PUNCT
fumecheng-4407	26	1	in	in	ADP
fumecheng-4407	26	2	the	the	DET
fumecheng-4407	26	3	present	present	ADJ
fumecheng-4407	26	4	work	work	NOUN
fumecheng-4407	26	5	,	,	PUNCT
fumecheng-4407	26	6	we	we	PRON
fumecheng-4407	26	7	will	will	AUX
fumecheng-4407	26	8	build	build	VERB
fumecheng-4407	26	9	upon	upon	SCONJ
fumecheng-4407	26	10	the	the	DET
fumecheng-4407	26	11	results	result	NOUN
fumecheng-4407	26	12	found	find	VERB
fumecheng-4407	26	13	in	in	ADP
fumecheng-4407	26	14	[	[	X
fumecheng-4407	26	15	15	15	NUM
fumecheng-4407	26	16	]	]	PUNCT
fumecheng-4407	26	17	and	and	CCONJ
fumecheng-4407	26	18	further	far	ADV
fumecheng-4407	26	19	deepen	deepen	VERB
fumecheng-4407	26	20	the	the	DET
fumecheng-4407	26	21	understanding	understanding	NOUN
fumecheng-4407	26	22	of	of	ADP
fumecheng-4407	26	23	how	how	SCONJ
fumecheng-4407	26	24	the	the	DET
fumecheng-4407	26	25	technique	technique	NOUN
fumecheng-4407	26	26	can	can	AUX
fumecheng-4407	26	27	be	be	AUX
fumecheng-4407	26	28	implemented	implement	VERB
fumecheng-4407	26	29	.	.	PUNCT
fumecheng-4407	27	1	in	in	ADP
fumecheng-4407	27	2	an	an	DET
fumecheng-4407	27	3	exemplary	exemplary	ADJ
fumecheng-4407	27	4	simulation	simulation	NOUN
fumecheng-4407	27	5	,	,	PUNCT
fumecheng-4407	27	6	different	different	ADJ
fumecheng-4407	27	7	numerical	numerical	ADJ
fumecheng-4407	27	8	techniques	technique	NOUN
fumecheng-4407	27	9	are	be	AUX
fumecheng-4407	27	10	compared	compare	VERB
fumecheng-4407	27	11	for	for	ADP
fumecheng-4407	27	12	a	a	DET
fumecheng-4407	27	13	curved	curved	ADJ
fumecheng-4407	27	14	shape	shape	NOUN
fumecheng-4407	27	15	.	.	PUNCT
fumecheng-4407	28	1	also	also	ADV
fumecheng-4407	28	2	,	,	PUNCT
fumecheng-4407	28	3	we	we	PRON
fumecheng-4407	28	4	mention	mention	VERB
fumecheng-4407	28	5	additions	addition	NOUN
fumecheng-4407	28	6	to	to	ADP
fumecheng-4407	28	7	the	the	DET
fumecheng-4407	28	8	method	method	NOUN
fumecheng-4407	28	9	which	which	PRON
fumecheng-4407	28	10	further	far	ADV
fumecheng-4407	28	11	decrease	decrease	VERB
fumecheng-4407	28	12	the	the	DET
fumecheng-4407	28	13	computational	computational	ADJ
fumecheng-4407	28	14	complexity	complexity	NOUN
fumecheng-4407	28	15	.	.	PUNCT
fumecheng-4407	29	1	the	the	DET
fumecheng-4407	29	2	overall	overall	ADJ
fumecheng-4407	29	3	goal	goal	NOUN
fumecheng-4407	29	4	of	of	ADP
fumecheng-4407	29	5	this	this	DET
fumecheng-4407	29	6	work	work	NOUN
fumecheng-4407	29	7	and	and	CCONJ
fumecheng-4407	29	8	future	future	ADJ
fumecheng-4407	29	9	works	work	NOUN
fumecheng-4407	29	10	will	will	AUX
fumecheng-4407	29	11	be	be	AUX
fumecheng-4407	29	12	to	to	PART
fumecheng-4407	29	13	strive	strive	VERB
fumecheng-4407	29	14	towards	towards	ADP
fumecheng-4407	29	15	a	a	DET
fumecheng-4407	29	16	complexity	complexity	NOUN
fumecheng-4407	29	17	comparable	comparable	ADJ
fumecheng-4407	29	18	to	to	ADP
fumecheng-4407	29	19	that	that	PRON
fumecheng-4407	29	20	of	of	ADP
fumecheng-4407	29	21	the	the	DET
fumecheng-4407	29	22	fft	fft	NOUN
fumecheng-4407	29	23	on	on	ADP
fumecheng-4407	29	24	the	the	DET
fumecheng-4407	29	25	half	half	ADJ
fumecheng-4407	29	26	-	-	PUNCT
fumecheng-4407	29	27	space	space	NOUN
fumecheng-4407	29	28	which	which	PRON
fumecheng-4407	29	29	is	be	AUX
fumecheng-4407	29	30	o(n	o(n	PROPN
fumecheng-4407	29	31	2	2	NUM
fumecheng-4407	29	32	log	log	NOUN
fumecheng-4407	29	33	n	n	CCONJ
fumecheng-4407	29	34	)	)	PUNCT
fumecheng-4407	29	35	.	.	PUNCT
fumecheng-4407	30	1	2	2	X
fumecheng-4407	30	2	.	.	X
fumecheng-4407	30	3	interpretation	interpretation	NOUN
fumecheng-4407	30	4	of	of	ADP
fumecheng-4407	30	5	the	the	DET
fumecheng-4407	30	6	boundary	boundary	ADJ
fumecheng-4407	30	7	integral	integral	ADJ
fumecheng-4407	30	8	formulations	formulation	NOUN
fumecheng-4407	30	9	as	as	SCONJ
fumecheng-4407	30	10	convolutions	convolution	VERB
fumecheng-4407	30	11	the	the	DET
fumecheng-4407	30	12	boundary	boundary	ADJ
fumecheng-4407	30	13	integral	integral	ADJ
fumecheng-4407	30	14	formulation	formulation	NOUN
fumecheng-4407	30	15	of	of	ADP
fumecheng-4407	30	16	the	the	DET
fumecheng-4407	30	17	laplace	laplace	NOUN
fumecheng-4407	30	18	equation	equation	NOUN
fumecheng-4407	30	19	(	(	PUNCT
fumecheng-4407	30	20	)	)	PUNCT
fumecheng-4407	30	21	0u	0u	ADJ
fumecheng-4407	30	22	x	x	VERB
fumecheng-4407	31	1			PRON
fumecheng-4407	31	2	(	(	PUNCT
fumecheng-4407	31	3	1	1	NUM
fumecheng-4407	31	4	)	)	PUNCT
fumecheng-4407	31	5	is	be	AUX
fumecheng-4407	31	6	*	*	PUNCT
fumecheng-4407	31	7	*	*	PUNCT
fumecheng-4407	31	8	0	0	NUM
fumecheng-4407	31	9	0	0	NUM
fumecheng-4407	31	10	0	0	NUM
fumecheng-4407	31	11	0	0	NUM
fumecheng-4407	31	12	(	(	PUNCT
fumecheng-4407	31	13	)	)	PUNCT
fumecheng-4407	31	14	(	(	PUNCT
fumecheng-4407	31	15	)	)	PUNCT
fumecheng-4407	31	16	(	(	PUNCT
fumecheng-4407	31	17	)	)	PUNCT
fumecheng-4407	31	18	(	(	PUNCT
fumecheng-4407	31	19	)	)	PUNCT
fumecheng-4407	31	20	(	(	PUNCT
fumecheng-4407	31	21	)	)	PUNCT
fumecheng-4407	31	22	(	(	PUNCT
fumecheng-4407	31	23	)	)	PUNCT
fumecheng-4407	31	24	s	s	VERB
fumecheng-4407	31	25	s	s	NOUN
fumecheng-4407	31	26	c	c	NOUN
fumecheng-4407	31	27	x	x	SYM
fumecheng-4407	31	28	u	u	NOUN
fumecheng-4407	31	29	x	x	NOUN
fumecheng-4407	31	30	q	q	PUNCT
fumecheng-4407	31	31	x	x	PUNCT
fumecheng-4407	31	32	u	u	NOUN
fumecheng-4407	31	33	x	x	NOUN
fumecheng-4407	31	34	x	x	VERB
fumecheng-4407	31	35	ds	ds	PRON
fumecheng-4407	31	36	u	u	NOUN
fumecheng-4407	31	37	x	x	NOUN
fumecheng-4407	31	38	q	q	NOUN
fumecheng-4407	31	39	x	x	X
fumecheng-4407	31	40	x	x	SYM
fumecheng-4407	31	41	ds	ds	VERB
fumecheng-4407	31	42			PROPN
fumecheng-4407	31	43			NOUN
fumecheng-4407	31	44			NOUN
fumecheng-4407	31	45			PUNCT
fumecheng-4407	31	46	.	.	PUNCT
fumecheng-4407	32	1	(	(	PUNCT
fumecheng-4407	32	2	2	2	X
fumecheng-4407	32	3	)	)	PUNCT
fumecheng-4407	32	4	it	it	PRON
fumecheng-4407	32	5	relates	relate	VERB
fumecheng-4407	32	6	the	the	DET
fumecheng-4407	32	7	values	value	NOUN
fumecheng-4407	32	8	for	for	ADP
fumecheng-4407	32	9	(	(	PUNCT
fumecheng-4407	32	10	)	)	PUNCT
fumecheng-4407	32	11	u	u	NOUN
fumecheng-4407	32	12	x	x	X
fumecheng-4407	32	13	and	and	CCONJ
fumecheng-4407	32	14	(	(	PUNCT
fumecheng-4407	32	15	)	)	PUNCT
fumecheng-4407	32	16	(	(	PUNCT
fumecheng-4407	32	17	)	)	PUNCT
fumecheng-4407	32	18	(	(	PUNCT
fumecheng-4407	32	19	)	)	PUNCT
fumecheng-4407	32	20	q	q	NOUN
fumecheng-4407	32	21	x	x	PUNCT
fumecheng-4407	32	22	n	n	SYM
fumecheng-4407	32	23	x	x	SYM
fumecheng-4407	32	24	u	u	NOUN
fumecheng-4407	32	25	x	x	PROPN
fumecheng-4407	32	26			PROPN
fumecheng-4407	32	27	on	on	ADP
fumecheng-4407	32	28	boundary	boundary	ADJ
fumecheng-4407	32	29	s	s	PROPN
fumecheng-4407	32	30	of	of	ADP
fumecheng-4407	32	31	a	a	DET
fumecheng-4407	32	32	region	region	NOUN
fumecheng-4407	32	33	with	with	ADP
fumecheng-4407	32	34	outward	outward	ADJ
fumecheng-4407	32	35	normal	normal	ADJ
fumecheng-4407	32	36	vector	vector	NOUN
fumecheng-4407	32	37	n	n	ADP
fumecheng-4407	32	38	to	to	ADP
fumecheng-4407	32	39	the	the	DET
fumecheng-4407	32	40	value	value	NOUN
fumecheng-4407	32	41	of	of	ADP
fumecheng-4407	32	42	u	u	NOUN
fumecheng-4407	32	43	at	at	ADP
fumecheng-4407	32	44	a	a	DET
fumecheng-4407	32	45	certain	certain	ADJ
fumecheng-4407	32	46	point	point	NOUN
fumecheng-4407	32	47	0x	0x	NOUN
fumecheng-4407	32	48	in	in	ADP
fumecheng-4407	32	49	the	the	DET
fumecheng-4407	32	50	region	region	NOUN
fumecheng-4407	32	51	.	.	PUNCT
fumecheng-4407	33	1	it	it	PRON
fumecheng-4407	33	2	is	be	AUX
fumecheng-4407	33	3	c	c	NOUN
fumecheng-4407	33	4	=	=	SYM
fumecheng-4407	33	5	1	1	NUM
fumecheng-4407	33	6	when	when	SCONJ
fumecheng-4407	33	7	0x	0x	NOUN
fumecheng-4407	33	8	lies	lie	VERB
fumecheng-4407	33	9	inside	inside	ADP
fumecheng-4407	33	10	the	the	DET
fumecheng-4407	33	11	region	region	NOUN
fumecheng-4407	33	12	,	,	PUNCT
fumecheng-4407	33	13	and	and	CCONJ
fumecheng-4407	33	14	c	c	X
fumecheng-4407	33	15	=	=	SYM
fumecheng-4407	33	16	1/2	1/2	NUM
fumecheng-4407	33	17	when	when	SCONJ
fumecheng-4407	33	18	point	point	NOUN
fumecheng-4407	33	19	0x	0x	NOUN
fumecheng-4407	33	20	lies	lie	VERB
fumecheng-4407	33	21	on	on	ADP
fumecheng-4407	33	22	the	the	DET
fumecheng-4407	33	23	smooth	smooth	ADJ
fumecheng-4407	33	24	boundary	boundary	NOUN
fumecheng-4407	33	25	.	.	PUNCT
fumecheng-4407	34	1	term	term	NOUN
fumecheng-4407	34	2	*	*	PUNCT
fumecheng-4407	34	3	0	0	NUM
fumecheng-4407	34	4	(	(	PUNCT
fumecheng-4407	34	5	)	)	PUNCT
fumecheng-4407	34	6	u	u	NOUN
fumecheng-4407	34	7	x	x	PROPN
fumecheng-4407	34	8	x	x	PROPN
fumecheng-4407	34	9	is	be	AUX
fumecheng-4407	34	10	the	the	DET
fumecheng-4407	34	11	fundamental	fundamental	ADJ
fumecheng-4407	34	12	solution	solution	NOUN
fumecheng-4407	34	13	of	of	ADP
fumecheng-4407	34	14	eq	eq	PROPN
fumecheng-4407	34	15	.	.	PUNCT
fumecheng-4407	35	1	(	(	PUNCT
fumecheng-4407	35	2	1	1	NUM
fumecheng-4407	35	3	)	)	PUNCT
fumecheng-4407	35	4	.	.	PUNCT
fumecheng-4407	36	1	for	for	ADP
fumecheng-4407	36	2	instance	instance	NOUN
fumecheng-4407	36	3	,	,	PUNCT
fumecheng-4407	36	4	it	it	PRON
fumecheng-4407	36	5	is	be	AUX
fumecheng-4407	36	6			NOUN
fumecheng-4407	36	7			PROPN
fumecheng-4407	36	8	*	*	SYM
fumecheng-4407	36	9	0	0	NUM
fumecheng-4407	36	10	0	0	NUM
fumecheng-4407	36	11	1	1	NUM
fumecheng-4407	36	12	(	(	PUNCT
fumecheng-4407	36	13	)	)	PUNCT
fumecheng-4407	36	14	ln	ln	NOUN
fumecheng-4407	36	15	2	2	NUM
fumecheng-4407	36	16	u	u	NOUN
fumecheng-4407	36	17	x	x	NOUN
fumecheng-4407	36	18	x	x	PUNCT
fumecheng-4407	36	19	x	x	PUNCT
fumecheng-4407	36	20	x	x	X
fumecheng-4407	36	21			ADJ
fumecheng-4407	36	22			PROPN
fumecheng-4407	36	23			PROPN
fumecheng-4407	36	24			PROPN
fumecheng-4407	36	25			NOUN
fumecheng-4407	36	26	(	(	PUNCT
fumecheng-4407	36	27	3	3	NUM
fumecheng-4407	36	28	)	)	PUNCT
fumecheng-4407	36	29	for	for	ADP
fumecheng-4407	36	30	the	the	DET
fumecheng-4407	36	31	two	two	NUM
fumecheng-4407	36	32	-	-	PUNCT
fumecheng-4407	36	33	dimensional	dimensional	ADJ
fumecheng-4407	36	34	case	case	NOUN
fumecheng-4407	36	35	of	of	ADP
fumecheng-4407	36	36	x	x	PROPN
fumecheng-4407	36	37	yx	yx	PROPN
fumecheng-4407	36	38	xe	xe	PROPN
fumecheng-4407	36	39	ye	ye	PROPN
fumecheng-4407	36	40			X
fumecheng-4407	36	41	.	.	PUNCT
fumecheng-4407	37	1	for	for	ADP
fumecheng-4407	37	2	this	this	DET
fumecheng-4407	37	3	case	case	NOUN
fumecheng-4407	37	4	boundary	boundary	NOUN
fumecheng-4407	37	5	s	s	X
fumecheng-4407	37	6	in	in	ADP
fumecheng-4407	37	7	eq	eq	ADP
fumecheng-4407	37	8	.	.	PUNCT
fumecheng-4407	38	1	(	(	PUNCT
fumecheng-4407	38	2	2	2	X
fumecheng-4407	38	3	)	)	PUNCT
fumecheng-4407	38	4	is	be	AUX
fumecheng-4407	38	5	a	a	DET
fumecheng-4407	38	6	line	line	NOUN
fumecheng-4407	38	7	,	,	PUNCT
fumecheng-4407	38	8	whereas	whereas	SCONJ
fumecheng-4407	38	9	for	for	ADP
fumecheng-4407	38	10	the	the	DET
fumecheng-4407	38	11	three	three	NUM
fumecheng-4407	38	12	-	-	PUNCT
fumecheng-4407	38	13	dimensional	dimensional	ADJ
fumecheng-4407	38	14	case	case	NOUN
fumecheng-4407	38	15	with	with	ADP
fumecheng-4407	38	16	x	x	SYM
fumecheng-4407	38	17	y	y	PROPN
fumecheng-4407	38	18	zx	zx	PROPN
fumecheng-4407	38	19	xe	xe	PROPN
fumecheng-4407	38	20	ye	ye	PROPN
fumecheng-4407	38	21	ze	ze	PROPN
fumecheng-4407	38	22			PUNCT
fumecheng-4407	38	23			PUNCT
fumecheng-4407	38	24	boundary	boundary	PROPN
fumecheng-4407	38	25	s	s	PART
fumecheng-4407	38	26	is	be	AUX
fumecheng-4407	38	27	a	a	DET
fumecheng-4407	38	28	surface	surface	NOUN
fumecheng-4407	38	29	.	.	PUNCT
fumecheng-4407	39	1	the	the	DET
fumecheng-4407	39	2	boundary	boundary	ADJ
fumecheng-4407	39	3	integral	integral	ADJ
fumecheng-4407	39	4	formulation	formulation	NOUN
fumecheng-4407	39	5	of	of	ADP
fumecheng-4407	39	6	navier	navier	NOUN
fumecheng-4407	39	7	’s	’s	PART
fumecheng-4407	39	8	equation	equation	NOUN
fumecheng-4407	39	9	1	1	NUM
fumecheng-4407	39	10	1	1	NUM
fumecheng-4407	39	11	(	(	PUNCT
fumecheng-4407	39	12	(	(	PUNCT
fumecheng-4407	39	13	)	)	PUNCT
fumecheng-4407	39	14	)	)	PUNCT
fumecheng-4407	39	15	(	(	PUNCT
fumecheng-4407	39	16	)	)	PUNCT
fumecheng-4407	39	17	(	(	PUNCT
fumecheng-4407	39	18	)	)	PUNCT
fumecheng-4407	39	19	1	1	NUM
fumecheng-4407	39	20	2	2	NUM
fumecheng-4407	39	21	u	u	NOUN
fumecheng-4407	39	22	x	x	NOUN
fumecheng-4407	39	23	u	u	NOUN
fumecheng-4407	39	24	x	x	PROPN
fumecheng-4407	39	25	b	b	PROPN
fumecheng-4407	39	26	x	x	SYM
fumecheng-4407	39	27			ADJ
fumecheng-4407	39	28			NOUN
fumecheng-4407	39	29			NOUN
fumecheng-4407	39	30			NOUN
fumecheng-4407	39	31			NOUN
fumecheng-4407	39	32			PUNCT
fumecheng-4407	39	33			PROPN
fumecheng-4407	39	34			PROPN
fumecheng-4407	39	35			NOUN
fumecheng-4407	39	36	(	(	PUNCT
fumecheng-4407	39	37	4	4	NUM
fumecheng-4407	39	38	)	)	PUNCT
fumecheng-4407	39	39	is	be	AUX
fumecheng-4407	39	40	efficient	efficient	ADJ
fumecheng-4407	39	41	calculation	calculation	NOUN
fumecheng-4407	39	42	of	of	ADP
fumecheng-4407	39	43	the	the	DET
fumecheng-4407	39	44	bem	bem	NOUN
fumecheng-4407	39	45	integrals	integral	NOUN
fumecheng-4407	39	46	on	on	ADP
fumecheng-4407	39	47	arbitrary	arbitrary	ADJ
fumecheng-4407	39	48	shapes	shape	NOUN
fumecheng-4407	39	49	with	with	ADP
fumecheng-4407	39	50	the	the	DET
fumecheng-4407	39	51	fft	fft	NOUN
fumecheng-4407	39	52	407	407	NUM
fumecheng-4407	39	53	*	*	PUNCT
fumecheng-4407	40	1	*	*	PUNCT
fumecheng-4407	40	2	0	0	NUM
fumecheng-4407	40	3	0	0	NUM
fumecheng-4407	40	4	0	0	NUM
fumecheng-4407	40	5	0	0	NUM
fumecheng-4407	40	6	(	(	PUNCT
fumecheng-4407	40	7	)	)	PUNCT
fumecheng-4407	40	8	(	(	PUNCT
fumecheng-4407	40	9	)	)	PUNCT
fumecheng-4407	40	10	(	(	PUNCT
fumecheng-4407	40	11	)	)	PUNCT
fumecheng-4407	40	12	(	(	PUNCT
fumecheng-4407	40	13	)	)	PUNCT
fumecheng-4407	40	14	(	(	PUNCT
fumecheng-4407	40	15	)	)	PUNCT
fumecheng-4407	40	16	(	(	PUNCT
fumecheng-4407	40	17	)	)	PUNCT
fumecheng-4407	40	18	,	,	PUNCT
fumecheng-4407	40	19	s	s	X
fumecheng-4407	40	20	s	s	NOUN
fumecheng-4407	40	21	c	c	NOUN
fumecheng-4407	40	22	x	x	SYM
fumecheng-4407	40	23	u	u	NOUN
fumecheng-4407	40	24	x	x	NOUN
fumecheng-4407	40	25	t	t	NOUN
fumecheng-4407	40	26	x	x	SYM
fumecheng-4407	40	27	u	u	NOUN
fumecheng-4407	40	28	x	x	NOUN
fumecheng-4407	40	29	x	x	VERB
fumecheng-4407	40	30	ds	ds	PRON
fumecheng-4407	40	31	u	u	NOUN
fumecheng-4407	40	32	x	x	PROPN
fumecheng-4407	40	33	t	t	NOUN
fumecheng-4407	40	34	x	x	PUNCT
fumecheng-4407	40	35	x	x	PRON
fumecheng-4407	40	36	ds	ds	VERB
fumecheng-4407	40	37			VERB
fumecheng-4407	40	38			PROPN
fumecheng-4407	40	39			NOUN
fumecheng-4407	40	40			PROPN
fumecheng-4407	40	41			NOUN
fumecheng-4407	40	42			PUNCT
fumecheng-4407	40	43	(	(	PUNCT
fumecheng-4407	40	44	5	5	NUM
fumecheng-4407	40	45	)	)	PUNCT
fumecheng-4407	40	46	where	where	SCONJ
fumecheng-4407	40	47	c	c	PROPN
fumecheng-4407	40	48	is	be	AUX
fumecheng-4407	40	49	defined	define	VERB
fumecheng-4407	40	50	as	as	ADP
fumecheng-4407	40	51	above	above	ADV
fumecheng-4407	40	52	,	,	PUNCT
fumecheng-4407	40	53	u	u	NOUN
fumecheng-4407	40	54	and	and	CCONJ
fumecheng-4407	40	55	t	t	PROPN
fumecheng-4407	40	56	n	n	NOUN
fumecheng-4407	40	57			PROPN
fumecheng-4407	40	58	are	be	AUX
fumecheng-4407	40	59	the	the	DET
fumecheng-4407	40	60	values	value	NOUN
fumecheng-4407	40	61	on	on	ADP
fumecheng-4407	40	62	boundary	boundary	ADJ
fumecheng-4407	40	63	s	s	PROPN
fumecheng-4407	40	64	and	and	CCONJ
fumecheng-4407	40	65	*	*	PUNCT
fumecheng-4407	40	66	t	t	PROPN
fumecheng-4407	40	67	is	be	AUX
fumecheng-4407	40	68	known	know	VERB
fumecheng-4407	40	69	from	from	ADP
fumecheng-4407	40	70	the	the	DET
fumecheng-4407	40	71	fundamental	fundamental	ADJ
fumecheng-4407	40	72	solution	solution	NOUN
fumecheng-4407	40	73	0	0	NUM
fumecheng-4407	40	74	0	0	NUM
fumecheng-4407	40	75	3	3	NUM
fumecheng-4407	40	76	0	0	NUM
fumecheng-4407	41	1	*	*	SYM
fumecheng-4407	41	2	0	0	NUM
fumecheng-4407	41	3	0	0	NUM
fumecheng-4407	41	4	3	3	NUM
fumecheng-4407	41	5	4	4	NUM
fumecheng-4407	41	6	(	(	PUNCT
fumecheng-4407	41	7	)	)	PUNCT
fumecheng-4407	41	8	(	(	PUNCT
fumecheng-4407	41	9	)	)	PUNCT
fumecheng-4407	41	10	(	(	PUNCT
fumecheng-4407	41	11	)	)	PUNCT
fumecheng-4407	41	12	16	16	NUM
fumecheng-4407	41	13	(	(	PUNCT
fumecheng-4407	41	14	1	1	NUM
fumecheng-4407	41	15	)	)	PUNCT
fumecheng-4407	41	16	x	x	X
fumecheng-4407	42	1	x	x	PUNCT
fumecheng-4407	42	2	x	x	PUNCT
fumecheng-4407	42	3	x	x	PUNCT
fumecheng-4407	42	4	i	i	NOUN
fumecheng-4407	42	5	x	x	X
fumecheng-4407	42	6	x	x	PUNCT
fumecheng-4407	42	7	x	x	PUNCT
fumecheng-4407	42	8	x	x	PUNCT
fumecheng-4407	42	9	u	u	NOUN
fumecheng-4407	42	10	x	x	NOUN
fumecheng-4407	42	11	x	x	PUNCT
fumecheng-4407	42	12			ADJ
fumecheng-4407	42	13			NOUN
fumecheng-4407	42	14			ADJ
fumecheng-4407	42	15			PROPN
fumecheng-4407	42	16			PROPN
fumecheng-4407	42	17			PROPN
fumecheng-4407	42	18			PROPN
fumecheng-4407	42	19			CCONJ
fumecheng-4407	42	20			PROPN
fumecheng-4407	42	21			PROPN
fumecheng-4407	42	22			PROPN
fumecheng-4407	42	23			PROPN
fumecheng-4407	42	24			NOUN
fumecheng-4407	42	25	(	(	PUNCT
fumecheng-4407	42	26	6	6	NUM
fumecheng-4407	42	27	)	)	PUNCT
fumecheng-4407	42	28	with	with	ADP
fumecheng-4407	42	29	the	the	DET
fumecheng-4407	42	30	material	material	NOUN
fumecheng-4407	42	31	law	law	NOUN
fumecheng-4407	42	32	.	.	PUNCT
fumecheng-4407	43	1	both	both	PRON
fumecheng-4407	43	2	of	of	ADP
fumecheng-4407	43	3	the	the	DET
fumecheng-4407	43	4	boundary	boundary	ADJ
fumecheng-4407	43	5	integral	integral	ADJ
fumecheng-4407	43	6	formulations	formulation	NOUN
fumecheng-4407	43	7	(	(	PUNCT
fumecheng-4407	43	8	2	2	NUM
fumecheng-4407	43	9	)	)	PUNCT
fumecheng-4407	43	10	and	and	CCONJ
fumecheng-4407	43	11	(	(	PUNCT
fumecheng-4407	43	12	5	5	NUM
fumecheng-4407	43	13	)	)	PUNCT
fumecheng-4407	43	14	from	from	ADP
fumecheng-4407	43	15	above	above	ADV
fumecheng-4407	43	16	can	can	AUX
fumecheng-4407	43	17	be	be	AUX
fumecheng-4407	43	18	interpreted	interpret	VERB
fumecheng-4407	43	19	as	as	ADP
fumecheng-4407	43	20	convolutions	convolution	NOUN
fumecheng-4407	43	21	over	over	ADP
fumecheng-4407	43	22	the	the	DET
fumecheng-4407	43	23	space	space	NOUN
fumecheng-4407	43	24	which	which	PRON
fumecheng-4407	43	25	is	be	AUX
fumecheng-4407	43	26	one	one	NUM
fumecheng-4407	43	27	dimension	dimension	NOUN
fumecheng-4407	43	28	higher	high	ADJ
fumecheng-4407	43	29	than	than	ADP
fumecheng-4407	43	30	the	the	DET
fumecheng-4407	43	31	boundary	boundary	NOUN
fumecheng-4407	43	32	.	.	PUNCT
fumecheng-4407	44	1	recall	recall	VERB
fumecheng-4407	44	2	the	the	DET
fumecheng-4407	44	3	two	two	NUM
fumecheng-4407	44	4	-	-	PUNCT
fumecheng-4407	44	5	dimensional	dimensional	ADJ
fumecheng-4407	44	6	convolution	convolution	NOUN
fumecheng-4407	44	7	one	one	NUM
fumecheng-4407	44	8	obtains	obtain	VERB
fumecheng-4407	44	9	for	for	ADP
fumecheng-4407	44	10	the	the	DET
fumecheng-4407	44	11	half	half	ADJ
fumecheng-4407	44	12	-	-	PUNCT
fumecheng-4407	44	13	space	space	NOUN
fumecheng-4407	44	14	and	and	CCONJ
fumecheng-4407	44	15	which	which	PRON
fumecheng-4407	44	16	can	can	AUX
fumecheng-4407	44	17	be	be	AUX
fumecheng-4407	44	18	solved	solve	VERB
fumecheng-4407	44	19	rapidly	rapidly	ADV
fumecheng-4407	44	20	with	with	ADP
fumecheng-4407	44	21	the	the	DET
fumecheng-4407	44	22	fft	fft	PROPN
fumecheng-4407	44	23	.	.	PUNCT
fumecheng-4407	45	1	it	it	PRON
fumecheng-4407	45	2	is	be	AUX
fumecheng-4407	45	3	0	0	NUM
fumecheng-4407	45	4	0	0	NUM
fumecheng-4407	45	5	0	0	NUM
fumecheng-4407	45	6	0	0	NUM
fumecheng-4407	45	7	(	(	PUNCT
fumecheng-4407	45	8	,	,	PUNCT
fumecheng-4407	45	9	)	)	PUNCT
fumecheng-4407	45	10	(	(	PUNCT
fumecheng-4407	45	11	,	,	PUNCT
fumecheng-4407	45	12	)	)	PUNCT
fumecheng-4407	45	13	a	a	DET
fumecheng-4407	45	14	ab	ab	PROPN
fumecheng-4407	45	15	b	b	PROPN
fumecheng-4407	45	16	s	s	X
fumecheng-4407	45	17	u	u	X
fumecheng-4407	45	18	x	x	PROPN
fumecheng-4407	45	19	y	y	NOUN
fumecheng-4407	45	20	k	k	NOUN
fumecheng-4407	45	21	x	x	PUNCT
fumecheng-4407	45	22	x	x	PUNCT
fumecheng-4407	45	23	y	y	VERB
fumecheng-4407	45	24	y	y	PROPN
fumecheng-4407	45	25	dx	dx	PROPN
fumecheng-4407	45	26	dy	dy	PROPN
fumecheng-4407	45	27			PROPN
fumecheng-4407	45	28			NOUN
fumecheng-4407	45	29	,	,	PUNCT
fumecheng-4407	45	30	(	(	PUNCT
fumecheng-4407	45	31	7	7	X
fumecheng-4407	45	32	)	)	PUNCT
fumecheng-4407	45	33	where	where	SCONJ
fumecheng-4407	45	34	u	u	NOUN
fumecheng-4407	45	35	is	be	AUX
fumecheng-4407	45	36	the	the	DET
fumecheng-4407	45	37	deformation	deformation	NOUN
fumecheng-4407	45	38	,	,	PUNCT
fumecheng-4407	45	39			PROPN
fumecheng-4407	45	40	is	be	AUX
fumecheng-4407	45	41	the	the	DET
fumecheng-4407	45	42	load	load	NOUN
fumecheng-4407	45	43	,	,	PUNCT
fumecheng-4407	45	44	a	a	PRON
fumecheng-4407	45	45	is	be	AUX
fumecheng-4407	45	46	the	the	DET
fumecheng-4407	45	47	direction	direction	NOUN
fumecheng-4407	45	48	of	of	ADP
fumecheng-4407	45	49	the	the	DET
fumecheng-4407	45	50	deformation	deformation	NOUN
fumecheng-4407	45	51	and	and	CCONJ
fumecheng-4407	45	52	b	b	NOUN
fumecheng-4407	45	53	is	be	AUX
fumecheng-4407	45	54	the	the	DET
fumecheng-4407	45	55	direction	direction	NOUN
fumecheng-4407	45	56	of	of	ADP
fumecheng-4407	45	57	the	the	DET
fumecheng-4407	45	58	load	load	NOUN
fumecheng-4407	45	59	,	,	PUNCT
fumecheng-4407	45	60	(	(	PUNCT
fumecheng-4407	45	61	a	a	DET
fumecheng-4407	45	62	,	,	PUNCT
fumecheng-4407	45	63	b	b	NOUN
fumecheng-4407	45	64	)	)	PUNCT
fumecheng-4407	45	65			NOUN
fumecheng-4407	45	66	{	{	PUNCT
fumecheng-4407	45	67	x	x	NOUN
fumecheng-4407	45	68	,	,	PUNCT
fumecheng-4407	45	69	y	y	PROPN
fumecheng-4407	45	70	,	,	PUNCT
fumecheng-4407	45	71	z	z	NOUN
fumecheng-4407	45	72	}	}	PUNCT
fumecheng-4407	45	73	.	.	PUNCT
fumecheng-4407	46	1	here	here	ADV
fumecheng-4407	46	2	,	,	PUNCT
fumecheng-4407	46	3	two	two	NUM
fumecheng-4407	46	4	coordinates	coordinate	NOUN
fumecheng-4407	46	5	x	x	PUNCT
fumecheng-4407	46	6	and	and	CCONJ
fumecheng-4407	46	7	y	y	PROPN
fumecheng-4407	46	8	lie	lie	VERB
fumecheng-4407	46	9	in	in	ADP
fumecheng-4407	46	10	the	the	DET
fumecheng-4407	46	11	plane	plane	NOUN
fumecheng-4407	46	12	of	of	ADP
fumecheng-4407	46	13	surface	surface	NOUN
fumecheng-4407	46	14	s	s	VERB
fumecheng-4407	46	15	over	over	ADP
fumecheng-4407	46	16	which	which	PRON
fumecheng-4407	46	17	the	the	DET
fumecheng-4407	46	18	integration	integration	NOUN
fumecheng-4407	46	19	is	be	AUX
fumecheng-4407	46	20	performed	perform	VERB
fumecheng-4407	46	21	.	.	PUNCT
fumecheng-4407	47	1	this	this	DET
fumecheng-4407	47	2	characteristic	characteristic	NOUN
fumecheng-4407	47	3	makes	make	VERB
fumecheng-4407	47	4	it	it	PRON
fumecheng-4407	47	5	possible	possible	ADJ
fumecheng-4407	47	6	to	to	PART
fumecheng-4407	47	7	perfectly	perfectly	ADV
fumecheng-4407	47	8	align	align	VERB
fumecheng-4407	47	9	a	a	DET
fumecheng-4407	47	10	uniform	uniform	ADJ
fumecheng-4407	47	11	grid	grid	NOUN
fumecheng-4407	47	12	on	on	ADP
fumecheng-4407	47	13	which	which	PRON
fumecheng-4407	47	14	the	the	DET
fumecheng-4407	47	15	fft	fft	NOUN
fumecheng-4407	47	16	is	be	AUX
fumecheng-4407	47	17	performed	perform	VERB
fumecheng-4407	47	18	to	to	PART
fumecheng-4407	47	19	calculate	calculate	VERB
fumecheng-4407	47	20	the	the	DET
fumecheng-4407	47	21	convolution	convolution	NOUN
fumecheng-4407	47	22	in	in	ADP
fumecheng-4407	47	23	(	(	PUNCT
fumecheng-4407	47	24	7	7	NUM
fumecheng-4407	47	25	)	)	PUNCT
fumecheng-4407	47	26	with	with	ADP
fumecheng-4407	47	27	the	the	DET
fumecheng-4407	47	28	half	half	ADJ
fumecheng-4407	47	29	space	space	NOUN
fumecheng-4407	47	30	surface	surface	NOUN
fumecheng-4407	47	31	(	(	PUNCT
fumecheng-4407	47	32	see	see	VERB
fumecheng-4407	47	33	fig	fig	NOUN
fumecheng-4407	47	34	.	.	PUNCT
fumecheng-4407	48	1	1a	1a	NOUN
fumecheng-4407	48	2	)	)	PUNCT
fumecheng-4407	48	3	.	.	PUNCT
fumecheng-4407	49	1	for	for	ADP
fumecheng-4407	49	2	arbitrary	arbitrary	ADJ
fumecheng-4407	49	3	shapes	shape	NOUN
fumecheng-4407	49	4	,	,	PUNCT
fumecheng-4407	49	5	one	one	PRON
fumecheng-4407	49	6	has	have	VERB
fumecheng-4407	49	7	to	to	PART
fumecheng-4407	49	8	enclose	enclose	VERB
fumecheng-4407	49	9	the	the	DET
fumecheng-4407	49	10	entire	entire	ADJ
fumecheng-4407	49	11	surface	surface	NOUN
fumecheng-4407	49	12	with	with	ADP
fumecheng-4407	49	13	a	a	DET
fumecheng-4407	49	14	uniform	uniform	ADJ
fumecheng-4407	49	15	three	three	NUM
fumecheng-4407	49	16	-	-	PUNCT
fumecheng-4407	49	17	dimensional	dimensional	ADJ
fumecheng-4407	49	18	grid	grid	NOUN
fumecheng-4407	49	19	in	in	ADP
fumecheng-4407	49	20	order	order	NOUN
fumecheng-4407	49	21	to	to	PART
fumecheng-4407	49	22	apply	apply	VERB
fumecheng-4407	49	23	the	the	DET
fumecheng-4407	49	24	fft	fft	NOUN
fumecheng-4407	49	25	(	(	PUNCT
fumecheng-4407	49	26	see	see	VERB
fumecheng-4407	49	27	fig	fig	NOUN
fumecheng-4407	49	28	1b	1b	NUM
fumecheng-4407	49	29	)	)	PUNCT
fumecheng-4407	49	30	.	.	PUNCT
fumecheng-4407	50	1	integral	integral	ADJ
fumecheng-4407	50	2	formulations	formulation	NOUN
fumecheng-4407	50	3	(	(	PUNCT
fumecheng-4407	50	4	2	2	NUM
fumecheng-4407	50	5	)	)	PUNCT
fumecheng-4407	50	6	and	and	CCONJ
fumecheng-4407	50	7	(	(	PUNCT
fumecheng-4407	50	8	5	5	X
fumecheng-4407	50	9	)	)	PUNCT
fumecheng-4407	50	10	clearly	clearly	ADV
fumecheng-4407	50	11	represent	represent	VERB
fumecheng-4407	50	12	convolutions	convolution	NOUN
fumecheng-4407	50	13	over	over	ADP
fumecheng-4407	50	14	this	this	DET
fumecheng-4407	50	15	space	space	NOUN
fumecheng-4407	50	16	.	.	PUNCT
fumecheng-4407	51	1	one	one	NUM
fumecheng-4407	51	2	only	only	ADV
fumecheng-4407	51	3	has	have	VERB
fumecheng-4407	51	4	to	to	PART
fumecheng-4407	51	5	pay	pay	VERB
fumecheng-4407	51	6	attention	attention	NOUN
fumecheng-4407	51	7	to	to	PART
fumecheng-4407	51	8	appropriately	appropriately	ADV
fumecheng-4407	51	9	set	set	VERB
fumecheng-4407	51	10	zeros	zero	NOUN
fumecheng-4407	51	11	at	at	ADP
fumecheng-4407	51	12	the	the	DET
fumecheng-4407	51	13	grid	grid	NOUN
fumecheng-4407	51	14	points	point	NOUN
fumecheng-4407	51	15	where	where	SCONJ
fumecheng-4407	51	16	there	there	PRON
fumecheng-4407	51	17	is	be	VERB
fumecheng-4407	51	18	no	no	DET
fumecheng-4407	51	19	surface	surface	NOUN
fumecheng-4407	51	20	so	so	SCONJ
fumecheng-4407	51	21	as	as	SCONJ
fumecheng-4407	51	22	not	not	PART
fumecheng-4407	51	23	to	to	PART
fumecheng-4407	51	24	distort	distort	VERB
fumecheng-4407	51	25	the	the	DET
fumecheng-4407	51	26	results	result	NOUN
fumecheng-4407	51	27	.	.	PUNCT
fumecheng-4407	52	1	in	in	ADP
fumecheng-4407	52	2	[	[	X
fumecheng-4407	52	3	15	15	NUM
fumecheng-4407	52	4	]	]	X
fumecheng-4407	52	5	an	an	DET
fumecheng-4407	52	6	exemplary	exemplary	ADJ
fumecheng-4407	52	7	implementation	implementation	NOUN
fumecheng-4407	52	8	of	of	ADP
fumecheng-4407	52	9	this	this	DET
fumecheng-4407	52	10	technique	technique	NOUN
fumecheng-4407	52	11	is	be	AUX
fumecheng-4407	52	12	presented	present	VERB
fumecheng-4407	52	13	which	which	PRON
fumecheng-4407	52	14	illustrates	illustrate	VERB
fumecheng-4407	52	15	the	the	DET
fumecheng-4407	52	16	feasibility	feasibility	NOUN
fumecheng-4407	52	17	of	of	ADP
fumecheng-4407	52	18	the	the	DET
fumecheng-4407	52	19	concept	concept	NOUN
fumecheng-4407	52	20	.	.	PUNCT
fumecheng-4407	53	1	using	use	VERB
fumecheng-4407	53	2	the	the	DET
fumecheng-4407	53	3	fft	fft	NOUN
fumecheng-4407	53	4	on	on	ADP
fumecheng-4407	53	5	the	the	DET
fumecheng-4407	53	6	three	three	NUM
fumecheng-4407	53	7	-	-	PUNCT
fumecheng-4407	53	8	dimensional	dimensional	ADJ
fumecheng-4407	53	9	space	space	NOUN
fumecheng-4407	53	10	to	to	PART
fumecheng-4407	53	11	obtain	obtain	VERB
fumecheng-4407	53	12	the	the	DET
fumecheng-4407	53	13	integrals	integral	NOUN
fumecheng-4407	53	14	on	on	ADP
fumecheng-4407	53	15	the	the	DET
fumecheng-4407	53	16	surface	surface	NOUN
fumecheng-4407	53	17	lowers	lower	VERB
fumecheng-4407	53	18	the	the	DET
fumecheng-4407	53	19	computational	computational	ADJ
fumecheng-4407	53	20	complexity	complexity	NOUN
fumecheng-4407	53	21	to	to	ADP
fumecheng-4407	53	22	o(n	o(n	PROPN
fumecheng-4407	53	23	3	3	NUM
fumecheng-4407	53	24	log	log	NOUN
fumecheng-4407	53	25	n	n	ADV
fumecheng-4407	53	26	1.5	1.5	NUM
fumecheng-4407	53	27	)	)	PUNCT
fumecheng-4407	53	28	from	from	ADP
fumecheng-4407	53	29	the	the	DET
fumecheng-4407	53	30	complexity	complexity	NOUN
fumecheng-4407	53	31	of	of	ADP
fumecheng-4407	53	32	o(n	o(n	PROPN
fumecheng-4407	53	33	4	4	NUM
fumecheng-4407	53	34	)	)	PUNCT
fumecheng-4407	53	35	which	which	PRON
fumecheng-4407	53	36	is	be	AUX
fumecheng-4407	53	37	needed	need	VERB
fumecheng-4407	53	38	to	to	PART
fumecheng-4407	53	39	invert	invert	VERB
fumecheng-4407	53	40	the	the	DET
fumecheng-4407	53	41	classical	classical	ADJ
fumecheng-4407	53	42	bem	bem	NOUN
fumecheng-4407	53	43	matrix	matrix	NOUN
fumecheng-4407	53	44	.	.	PUNCT
fumecheng-4407	54	1	a	a	DET
fumecheng-4407	54	2	)	)	PUNCT
fumecheng-4407	54	3	b	b	NOUN
fumecheng-4407	54	4	)	)	PUNCT
fumecheng-4407	54	5	fig	fig	NOUN
fumecheng-4407	54	6	.	.	PUNCT
fumecheng-4407	55	1	1	1	NUM
fumecheng-4407	55	2	a	a	DET
fumecheng-4407	55	3	uniform	uniform	ADJ
fumecheng-4407	55	4	grid	grid	NOUN
fumecheng-4407	55	5	aligned	align	VERB
fumecheng-4407	55	6	with	with	ADP
fumecheng-4407	55	7	the	the	DET
fumecheng-4407	55	8	even	even	ADJ
fumecheng-4407	55	9	surface	surface	NOUN
fumecheng-4407	55	10	of	of	ADP
fumecheng-4407	55	11	a	a	DET
fumecheng-4407	55	12	half	half	ADJ
fumecheng-4407	55	13	-	-	PUNCT
fumecheng-4407	55	14	space	space	NOUN
fumecheng-4407	55	15	(	(	PUNCT
fumecheng-4407	55	16	a	a	NOUN
fumecheng-4407	55	17	)	)	PUNCT
fumecheng-4407	55	18	,	,	PUNCT
fumecheng-4407	55	19	and	and	CCONJ
fumecheng-4407	55	20	an	an	DET
fumecheng-4407	55	21	arbitrary	arbitrary	ADJ
fumecheng-4407	55	22	shape	shape	NOUN
fumecheng-4407	55	23	fully	fully	ADV
fumecheng-4407	55	24	enclosed	enclose	VERB
fumecheng-4407	55	25	with	with	ADP
fumecheng-4407	55	26	a	a	DET
fumecheng-4407	55	27	uniform	uniform	ADJ
fumecheng-4407	55	28	three	three	NUM
fumecheng-4407	55	29	-	-	PUNCT
fumecheng-4407	55	30	dimensional	dimensional	ADJ
fumecheng-4407	55	31	grid	grid	NOUN
fumecheng-4407	55	32	(	(	PUNCT
fumecheng-4407	55	33	b	b	NOUN
fumecheng-4407	55	34	)	)	PUNCT
fumecheng-4407	55	35	,	,	PUNCT
fumecheng-4407	56	1	[	[	X
fumecheng-4407	56	2	15	15	NUM
fumecheng-4407	56	3	]	]	SYM
fumecheng-4407	56	4	408	408	NUM
fumecheng-4407	56	5	j.	j.	PROPN
fumecheng-4407	56	6	benad	benad	PROPN
fumecheng-4407	56	7	3	3	X
fumecheng-4407	56	8	.	.	PUNCT
fumecheng-4407	56	9	implementation	implementation	NOUN
fumecheng-4407	56	10	details	detail	NOUN
fumecheng-4407	56	11	we	we	PRON
fumecheng-4407	56	12	will	will	AUX
fumecheng-4407	56	13	now	now	ADV
fumecheng-4407	56	14	highlight	highlight	VERB
fumecheng-4407	56	15	a	a	DET
fumecheng-4407	56	16	few	few	ADJ
fumecheng-4407	56	17	important	important	ADJ
fumecheng-4407	56	18	details	detail	NOUN
fumecheng-4407	56	19	one	one	PRON
fumecheng-4407	56	20	has	have	VERB
fumecheng-4407	56	21	to	to	PART
fumecheng-4407	56	22	consider	consider	VERB
fumecheng-4407	56	23	when	when	SCONJ
fumecheng-4407	56	24	the	the	DET
fumecheng-4407	56	25	technique	technique	NOUN
fumecheng-4407	56	26	described	describe	VERB
fumecheng-4407	56	27	above	above	ADV
fumecheng-4407	56	28	is	be	AUX
fumecheng-4407	56	29	implemented	implement	VERB
fumecheng-4407	56	30	.	.	PUNCT
fumecheng-4407	57	1	surface	surface	NOUN
fumecheng-4407	57	2	normal	normal	ADJ
fumecheng-4407	57	3	vectors	vector	NOUN
fumecheng-4407	57	4	the	the	DET
fumecheng-4407	57	5	components	component	NOUN
fumecheng-4407	57	6	of	of	ADP
fumecheng-4407	57	7	the	the	DET
fumecheng-4407	57	8	normal	normal	ADJ
fumecheng-4407	57	9	surface	surface	NOUN
fumecheng-4407	57	10	vectors	vector	NOUN
fumecheng-4407	57	11	in	in	ADP
fumecheng-4407	57	12	integral	integral	ADJ
fumecheng-4407	57	13	formulations	formulation	NOUN
fumecheng-4407	57	14	(	(	PUNCT
fumecheng-4407	57	15	2	2	NUM
fumecheng-4407	57	16	)	)	PUNCT
fumecheng-4407	57	17	and	and	CCONJ
fumecheng-4407	57	18	(	(	PUNCT
fumecheng-4407	57	19	5	5	X
fumecheng-4407	57	20	)	)	PUNCT
fumecheng-4407	57	21	depend	depend	VERB
fumecheng-4407	57	22	on	on	ADP
fumecheng-4407	57	23	x	x	X
fumecheng-4407	57	24	.	.	PUNCT
fumecheng-4407	58	1	this	this	DET
fumecheng-4407	58	2	characteristic	characteristic	NOUN
fumecheng-4407	58	3	does	do	AUX
fumecheng-4407	58	4	not	not	PART
fumecheng-4407	58	5	occur	occur	VERB
fumecheng-4407	58	6	for	for	ADP
fumecheng-4407	58	7	the	the	DET
fumecheng-4407	58	8	half	half	ADJ
fumecheng-4407	58	9	-	-	PUNCT
fumecheng-4407	58	10	space	space	NOUN
fumecheng-4407	58	11	because	because	SCONJ
fumecheng-4407	58	12	the	the	DET
fumecheng-4407	58	13	surface	surface	NOUN
fumecheng-4407	58	14	is	be	AUX
fumecheng-4407	58	15	even	even	ADV
fumecheng-4407	58	16	and	and	CCONJ
fumecheng-4407	58	17	stretches	stretch	VERB
fumecheng-4407	58	18	to	to	ADP
fumecheng-4407	58	19	infinity	infinity	NOUN
fumecheng-4407	58	20	.	.	PUNCT
fumecheng-4407	59	1	for	for	ADP
fumecheng-4407	59	2	the	the	DET
fumecheng-4407	59	3	arbitrary	arbitrary	ADJ
fumecheng-4407	59	4	case	case	NOUN
fumecheng-4407	59	5	,	,	PUNCT
fumecheng-4407	59	6	however	however	ADV
fumecheng-4407	59	7	,	,	PUNCT
fumecheng-4407	59	8	the	the	DET
fumecheng-4407	59	9	components	component	NOUN
fumecheng-4407	59	10	have	have	VERB
fumecheng-4407	59	11	to	to	PART
fumecheng-4407	59	12	be	be	AUX
fumecheng-4407	59	13	considered	consider	VERB
fumecheng-4407	59	14	in	in	ADP
fumecheng-4407	59	15	detail	detail	NOUN
fumecheng-4407	59	16	.	.	PUNCT
fumecheng-4407	60	1	this	this	PRON
fumecheng-4407	60	2	can	can	AUX
fumecheng-4407	60	3	be	be	AUX
fumecheng-4407	60	4	illustrated	illustrate	VERB
fumecheng-4407	60	5	with	with	ADP
fumecheng-4407	60	6	an	an	DET
fumecheng-4407	60	7	example	example	NOUN
fumecheng-4407	60	8	for	for	ADP
fumecheng-4407	60	9	the	the	DET
fumecheng-4407	60	10	two	two	NUM
fumecheng-4407	60	11	-	-	PUNCT
fumecheng-4407	60	12	dimensional	dimensional	ADJ
fumecheng-4407	60	13	laplace	laplace	NOUN
fumecheng-4407	60	14	equation	equation	NOUN
fumecheng-4407	60	15	.	.	PUNCT
fumecheng-4407	61	1	with	with	ADP
fumecheng-4407	61	2	2	2	NUM
fumecheng-4407	61	3	2	2	NUM
fumecheng-4407	61	4	0	0	NUM
fumecheng-4407	61	5	0	0	NUM
fumecheng-4407	61	6	(	(	PUNCT
fumecheng-4407	61	7	)	)	PUNCT
fumecheng-4407	61	8	(	(	PUNCT
fumecheng-4407	61	9	)	)	PUNCT
fumecheng-4407	61	10	r	r	NOUN
fumecheng-4407	61	11	x	x	PUNCT
fumecheng-4407	61	12	x	x	SYM
fumecheng-4407	61	13	y	y	PROPN
fumecheng-4407	61	14	y	y	PROPN
fumecheng-4407	61	15			PROPN
fumecheng-4407	61	16			VERB
fumecheng-4407	61	17			PROPN
fumecheng-4407	61	18	,	,	PUNCT
fumecheng-4407	61	19	(	(	PUNCT
fumecheng-4407	61	20	8)	8)	NUM
fumecheng-4407	61	21	the	the	DET
fumecheng-4407	61	22	fundamental	fundamental	ADJ
fumecheng-4407	61	23	solution	solution	NOUN
fumecheng-4407	61	24	(	(	PUNCT
fumecheng-4407	61	25	3	3	X
fumecheng-4407	61	26	)	)	PUNCT
fumecheng-4407	61	27	can	can	AUX
fumecheng-4407	61	28	be	be	AUX
fumecheng-4407	61	29	written	write	VERB
fumecheng-4407	61	30	as	as	ADP
fumecheng-4407	61	31	*	*	X
fumecheng-4407	61	32	0	0	NUM
fumecheng-4407	61	33	0	0	NUM
fumecheng-4407	61	34	1	1	NUM
fumecheng-4407	61	35	(	(	PUNCT
fumecheng-4407	61	36	,	,	PUNCT
fumecheng-4407	61	37	)	)	PUNCT
fumecheng-4407	61	38	ln	ln	ADJ
fumecheng-4407	61	39	(	(	PUNCT
fumecheng-4407	61	40	)	)	PUNCT
fumecheng-4407	61	41	2	2	NUM
fumecheng-4407	61	42	u	u	NOUN
fumecheng-4407	61	43	x	x	NOUN
fumecheng-4407	61	44	x	x	VERB
fumecheng-4407	61	45	y	y	NOUN
fumecheng-4407	61	46	y	y	PROPN
fumecheng-4407	61	47	r	r	PROPN
fumecheng-4407	61	48			PROPN
fumecheng-4407	61	49			PROPN
fumecheng-4407	61	50			PROPN
fumecheng-4407	61	51			PROPN
fumecheng-4407	61	52			NOUN
fumecheng-4407	61	53	.	.	PUNCT
fumecheng-4407	62	1	(	(	PUNCT
fumecheng-4407	62	2	9	9	NUM
fumecheng-4407	62	3	)	)	PUNCT
fumecheng-4407	62	4	with	with	ADP
fumecheng-4407	62	5	eq	eq	NOUN
fumecheng-4407	62	6	.	.	PUNCT
fumecheng-4407	63	1	(	(	PUNCT
fumecheng-4407	63	2	9	9	NUM
fumecheng-4407	63	3	)	)	PUNCT
fumecheng-4407	63	4	and	and	CCONJ
fumecheng-4407	63	5	q	q	ADJ
fumecheng-4407	63	6	n	n	ADV
fumecheng-4407	63	7	u	u	VERB
fumecheng-4407	63	8			PROPN
fumecheng-4407	63	9	,	,	PUNCT
fumecheng-4407	63	10	one	one	NUM
fumecheng-4407	63	11	obtains	obtain	VERB
fumecheng-4407	63	12	0	0	NUM
fumecheng-4407	63	13	0	0	NUM
fumecheng-4407	63	14	*	*	SYM
fumecheng-4407	63	15	2	2	NUM
fumecheng-4407	63	16	(	(	PUNCT
fumecheng-4407	63	17	(	(	PUNCT
fumecheng-4407	63	18	)	)	PUNCT
fumecheng-4407	63	19	(	(	PUNCT
fumecheng-4407	63	20	)	)	PUNCT
fumecheng-4407	63	21	)	)	PUNCT
fumecheng-4407	64	1	2	2	NUM
fumecheng-4407	64	2	x	x	SYM
fumecheng-4407	64	3	yn	yn	NOUN
fumecheng-4407	64	4	x	x	PUNCT
fumecheng-4407	64	5	x	x	PUNCT
fumecheng-4407	64	6	e	e	X
fumecheng-4407	64	7	y	y	PROPN
fumecheng-4407	64	8	y	y	PROPN
fumecheng-4407	64	9	e	e	PROPN
fumecheng-4407	64	10	q	q	PROPN
fumecheng-4407	64	11	r	r	VERB
fumecheng-4407	64	12			VERB
fumecheng-4407	64	13			NOUN
fumecheng-4407	64	14			VERB
fumecheng-4407	64	15			PROPN
fumecheng-4407	64	16			NUM
fumecheng-4407	64	17			PROPN
fumecheng-4407	64	18	.	.	PUNCT
fumecheng-4407	65	1	(	(	PUNCT
fumecheng-4407	65	2	10	10	NUM
fumecheng-4407	65	3	)	)	PUNCT
fumecheng-4407	65	4	equations	equation	NOUN
fumecheng-4407	65	5	(	(	PUNCT
fumecheng-4407	65	6	9	9	NUM
fumecheng-4407	65	7	)	)	PUNCT
fumecheng-4407	65	8	and	and	CCONJ
fumecheng-4407	65	9	(	(	PUNCT
fumecheng-4407	65	10	10	10	NUM
fumecheng-4407	65	11	)	)	PUNCT
fumecheng-4407	65	12	can	can	AUX
fumecheng-4407	65	13	now	now	ADV
fumecheng-4407	65	14	be	be	AUX
fumecheng-4407	65	15	inserted	insert	VERB
fumecheng-4407	65	16	into	into	ADP
fumecheng-4407	65	17	eq	eq	NOUN
fumecheng-4407	65	18	.	.	PUNCT
fumecheng-4407	66	1	(	(	PUNCT
fumecheng-4407	66	2	2	2	X
fumecheng-4407	66	3	)	)	PUNCT
fumecheng-4407	66	4	which	which	PRON
fumecheng-4407	66	5	yields	yield	VERB
fumecheng-4407	66	6	the	the	DET
fumecheng-4407	66	7	boundary	boundary	ADJ
fumecheng-4407	66	8	integral	integral	ADJ
fumecheng-4407	66	9	formulation	formulation	NOUN
fumecheng-4407	66	10	0	0	NUM
fumecheng-4407	66	11	0	0	NUM
fumecheng-4407	66	12	0	0	NUM
fumecheng-4407	66	13	0	0	NUM
fumecheng-4407	66	14	0	0	NUM
fumecheng-4407	66	15	0	0	NUM
fumecheng-4407	66	16	2	2	NUM
fumecheng-4407	66	17	(	(	PUNCT
fumecheng-4407	66	18	)	)	PUNCT
fumecheng-4407	66	19	(	(	PUNCT
fumecheng-4407	66	20	)	)	SYM
fumecheng-4407	66	21	1	1	NUM
fumecheng-4407	66	22	1	1	NUM
fumecheng-4407	66	23	(	(	PUNCT
fumecheng-4407	66	24	,	,	PUNCT
fumecheng-4407	66	25	)	)	PUNCT
fumecheng-4407	66	26	(	(	PUNCT
fumecheng-4407	66	27	,	,	PUNCT
fumecheng-4407	66	28	)	)	PUNCT
fumecheng-4407	66	29	ln	ln	X
fumecheng-4407	66	30	(	(	PUNCT
fumecheng-4407	66	31	)	)	PUNCT
fumecheng-4407	67	1	+	+	CCONJ
fumecheng-4407	67	2	.	.	X
fumecheng-4407	67	3	2	2	NUM
fumecheng-4407	67	4	2	2	NUM
fumecheng-4407	67	5	x	x	SYM
fumecheng-4407	67	6	y	y	NOUN
fumecheng-4407	67	7	s	s	NOUN
fumecheng-4407	67	8	s	s	NOUN
fumecheng-4407	67	9	x	x	X
fumecheng-4407	67	10	x	x	PROPN
fumecheng-4407	67	11	n	n	PROPN
fumecheng-4407	67	12	y	y	PROPN
fumecheng-4407	67	13	y	y	PROPN
fumecheng-4407	67	14	n	n	ADV
fumecheng-4407	67	15	c	c	NOUN
fumecheng-4407	67	16	x	x	SYM
fumecheng-4407	67	17	y	y	NOUN
fumecheng-4407	67	18	u	u	NOUN
fumecheng-4407	67	19	x	x	PROPN
fumecheng-4407	67	20	y	y	PROPN
fumecheng-4407	67	21	r	r	PROPN
fumecheng-4407	67	22	qds	qds	PROPN
fumecheng-4407	67	23	u	u	NOUN
fumecheng-4407	67	24	ds	ds	PROPN
fumecheng-4407	67	25	r	r	VERB
fumecheng-4407	67	26			PROPN
fumecheng-4407	67	27			NOUN
fumecheng-4407	67	28			VERB
fumecheng-4407	67	29			NOUN
fumecheng-4407	67	30			PRON
fumecheng-4407	67	31			NOUN
fumecheng-4407	67	32			PUNCT
fumecheng-4407	67	33			X
fumecheng-4407	67	34	(	(	PUNCT
fumecheng-4407	67	35	11	11	NUM
fumecheng-4407	67	36	)	)	PUNCT
fumecheng-4407	67	37	now	now	ADV
fumecheng-4407	67	38	we	we	PRON
fumecheng-4407	67	39	can	can	AUX
fumecheng-4407	67	40	turn	turn	VERB
fumecheng-4407	67	41	our	our	PRON
fumecheng-4407	67	42	attention	attention	NOUN
fumecheng-4407	67	43	to	to	ADP
fumecheng-4407	67	44	the	the	DET
fumecheng-4407	67	45	components	component	NOUN
fumecheng-4407	67	46	of	of	ADP
fumecheng-4407	67	47	outward	outward	ADJ
fumecheng-4407	67	48	normal	normal	ADJ
fumecheng-4407	67	49	vector	vector	NOUN
fumecheng-4407	67	50	n	n	NOUN
fumecheng-4407	67	51	.	.	PUNCT
fumecheng-4407	68	1	as	as	SCONJ
fumecheng-4407	68	2	stated	state	VERB
fumecheng-4407	68	3	above	above	ADV
fumecheng-4407	68	4	,	,	PUNCT
fumecheng-4407	68	5	they	they	PRON
fumecheng-4407	68	6	depend	depend	VERB
fumecheng-4407	68	7	on	on	ADP
fumecheng-4407	68	8	the	the	DET
fumecheng-4407	68	9	vector	vector	NOUN
fumecheng-4407	68	10	’s	’s	PART
fumecheng-4407	68	11	position	position	NOUN
fumecheng-4407	68	12	on	on	ADP
fumecheng-4407	68	13	the	the	DET
fumecheng-4407	68	14	border	border	NOUN
fumecheng-4407	68	15	:	:	PUNCT
fumecheng-4407	68	16	nx	nx	PROPN
fumecheng-4407	68	17	=	=	SYM
fumecheng-4407	68	18	nx(x	nx(x	PROPN
fumecheng-4407	68	19	,	,	PUNCT
fumecheng-4407	68	20	y	y	PROPN
fumecheng-4407	68	21	)	)	PUNCT
fumecheng-4407	68	22	,	,	PUNCT
fumecheng-4407	68	23	ny	ny	PROPN
fumecheng-4407	68	24	=	=	PUNCT
fumecheng-4407	68	25	ny(x	ny(x	X
fumecheng-4407	68	26	,	,	PUNCT
fumecheng-4407	68	27	y	y	NOUN
fumecheng-4407	68	28	)	)	PUNCT
fumecheng-4407	68	29	.	.	PUNCT
fumecheng-4407	69	1	in	in	ADP
fumecheng-4407	69	2	order	order	NOUN
fumecheng-4407	69	3	to	to	PART
fumecheng-4407	69	4	reveal	reveal	VERB
fumecheng-4407	69	5	the	the	DET
fumecheng-4407	69	6	convolution	convolution	NOUN
fumecheng-4407	69	7	terms	term	NOUN
fumecheng-4407	69	8	,	,	PUNCT
fumecheng-4407	69	9	one	one	PRON
fumecheng-4407	69	10	has	have	VERB
fumecheng-4407	69	11	to	to	PART
fumecheng-4407	69	12	split	split	VERB
fumecheng-4407	69	13	the	the	DET
fumecheng-4407	69	14	integral	integral	ADJ
fumecheng-4407	69	15	formulation	formulation	NOUN
fumecheng-4407	69	16	according	accord	VERB
fumecheng-4407	69	17	to	to	ADP
fumecheng-4407	69	18	the	the	DET
fumecheng-4407	69	19	normal	normal	ADJ
fumecheng-4407	69	20	vector	vector	NOUN
fumecheng-4407	69	21	components	component	NOUN
fumecheng-4407	69	22	:	:	PUNCT
fumecheng-4407	69	23	0	0	NUM
fumecheng-4407	69	24	0	0	NUM
fumecheng-4407	69	25	0	0	NUM
fumecheng-4407	69	26	0	0	NUM
fumecheng-4407	69	27	0	0	NUM
fumecheng-4407	69	28	0	0	NUM
fumecheng-4407	69	29	0	0	NUM
fumecheng-4407	69	30	2	2	NUM
fumecheng-4407	69	31	0	0	NUM
fumecheng-4407	69	32	0	0	NUM
fumecheng-4407	69	33	0	0	NUM
fumecheng-4407	69	34	2	2	NUM
fumecheng-4407	69	35	0	0	NUM
fumecheng-4407	69	36	0	0	NUM
fumecheng-4407	69	37	1	1	NUM
fumecheng-4407	69	38	(	(	PUNCT
fumecheng-4407	69	39	,	,	PUNCT
fumecheng-4407	69	40	)	)	PUNCT
fumecheng-4407	69	41	(	(	PUNCT
fumecheng-4407	69	42	,	,	PUNCT
fumecheng-4407	69	43	)	)	PUNCT
fumecheng-4407	70	1	ln	ln	ADJ
fumecheng-4407	70	2	(	(	PUNCT
fumecheng-4407	70	3	(	(	PUNCT
fumecheng-4407	70	4	,	,	PUNCT
fumecheng-4407	70	5	)	)	PUNCT
fumecheng-4407	70	6	)	)	PUNCT
fumecheng-4407	71	1	(	(	PUNCT
fumecheng-4407	71	2	,	,	PUNCT
fumecheng-4407	71	3	)	)	PUNCT
fumecheng-4407	71	4	2	2	NUM
fumecheng-4407	71	5	(	(	PUNCT
fumecheng-4407	71	6	)	)	PUNCT
fumecheng-4407	71	7	1	1	NUM
fumecheng-4407	71	8	(	(	PUNCT
fumecheng-4407	71	9	,	,	PUNCT
fumecheng-4407	71	10	)	)	PUNCT
fumecheng-4407	71	11	(	(	PUNCT
fumecheng-4407	71	12	,	,	PUNCT
fumecheng-4407	71	13	)	)	PUNCT
fumecheng-4407	71	14	2	2	NUM
fumecheng-4407	71	15	(	(	PUNCT
fumecheng-4407	71	16	,	,	PUNCT
fumecheng-4407	71	17	)	)	PUNCT
fumecheng-4407	71	18	(	(	PUNCT
fumecheng-4407	71	19	)	)	PUNCT
fumecheng-4407	71	20	1	1	NUM
fumecheng-4407	71	21	(	(	PUNCT
fumecheng-4407	71	22	,	,	PUNCT
fumecheng-4407	71	23	)	)	PUNCT
fumecheng-4407	71	24	(	(	PUNCT
fumecheng-4407	71	25	,	,	PUNCT
fumecheng-4407	71	26	)	)	PUNCT
fumecheng-4407	71	27	.	.	PUNCT
fumecheng-4407	72	1	2	2	NUM
fumecheng-4407	72	2	(	(	PUNCT
fumecheng-4407	72	3	,	,	PUNCT
fumecheng-4407	72	4	)	)	PUNCT
fumecheng-4407	72	5	s	s	PART
fumecheng-4407	72	6	x	x	SYM
fumecheng-4407	72	7	s	s	PROPN
fumecheng-4407	72	8	y	y	PROPN
fumecheng-4407	72	9	s	s	NOUN
fumecheng-4407	72	10	c	c	NOUN
fumecheng-4407	72	11	x	x	SYM
fumecheng-4407	72	12	y	y	NOUN
fumecheng-4407	72	13	u	u	NOUN
fumecheng-4407	72	14	x	x	VERB
fumecheng-4407	72	15	y	y	NOUN
fumecheng-4407	72	16	r	r	NOUN
fumecheng-4407	72	17	x	x	PUNCT
fumecheng-4407	72	18	x	x	PUNCT
fumecheng-4407	72	19	y	y	VERB
fumecheng-4407	72	20	y	y	NOUN
fumecheng-4407	72	21	q	q	NOUN
fumecheng-4407	73	1	x	x	VERB
fumecheng-4407	73	2	y	y	VERB
fumecheng-4407	73	3	ds	ds	ADJ
fumecheng-4407	73	4	x	x	PUNCT
fumecheng-4407	73	5	x	x	PUNCT
fumecheng-4407	73	6	u	u	NOUN
fumecheng-4407	73	7	x	x	X
fumecheng-4407	73	8	y	y	VERB
fumecheng-4407	73	9	n	n	INTJ
fumecheng-4407	73	10	x	x	SYM
fumecheng-4407	73	11	y	y	NOUN
fumecheng-4407	73	12	ds	ds	NOUN
fumecheng-4407	73	13	r	r	NOUN
fumecheng-4407	73	14	x	x	PUNCT
fumecheng-4407	73	15	x	x	PUNCT
fumecheng-4407	73	16	y	y	VERB
fumecheng-4407	73	17	y	y	PROPN
fumecheng-4407	73	18	y	y	PROPN
fumecheng-4407	73	19	y	y	PROPN
fumecheng-4407	73	20	u	u	PROPN
fumecheng-4407	73	21	x	x	VERB
fumecheng-4407	73	22	y	y	VERB
fumecheng-4407	73	23	n	n	INTJ
fumecheng-4407	73	24	x	x	SYM
fumecheng-4407	73	25	y	y	NOUN
fumecheng-4407	73	26	ds	ds	NOUN
fumecheng-4407	73	27	r	r	NOUN
fumecheng-4407	73	28	x	x	PUNCT
fumecheng-4407	73	29	x	x	VERB
fumecheng-4407	73	30	y	y	PROPN
fumecheng-4407	73	31	y	y	PROPN
fumecheng-4407	73	32			PROPN
fumecheng-4407	73	33			PROPN
fumecheng-4407	73	34			ADJ
fumecheng-4407	73	35			PROPN
fumecheng-4407	73	36			PROPN
fumecheng-4407	73	37			PROPN
fumecheng-4407	73	38			PROPN
fumecheng-4407	73	39			PROPN
fumecheng-4407	73	40			PROPN
fumecheng-4407	73	41			PROPN
fumecheng-4407	73	42			PROPN
fumecheng-4407	73	43			PROPN
fumecheng-4407	73	44			PROPN
fumecheng-4407	73	45			PROPN
fumecheng-4407	73	46			NOUN
fumecheng-4407	73	47			X
fumecheng-4407	73	48			X
fumecheng-4407	73	49			PUNCT
fumecheng-4407	73	50	(	(	PUNCT
fumecheng-4407	73	51	12	12	NUM
fumecheng-4407	73	52	)	)	PUNCT
fumecheng-4407	73	53	(	(	PUNCT
fumecheng-4407	73	54	note	note	VERB
fumecheng-4407	73	55	that	that	SCONJ
fumecheng-4407	73	56	in	in	ADP
fumecheng-4407	73	57	eq	eq	ADP
fumecheng-4407	73	58	.	.	PUNCT
fumecheng-4407	74	1	(	(	PUNCT
fumecheng-4407	74	2	12	12	NUM
fumecheng-4407	74	3	)	)	PUNCT
fumecheng-4407	74	4	we	we	PRON
fumecheng-4407	74	5	have	have	AUX
fumecheng-4407	74	6	also	also	ADV
fumecheng-4407	74	7	switched	switch	VERB
fumecheng-4407	74	8	the	the	DET
fumecheng-4407	74	9	variables	variable	NOUN
fumecheng-4407	74	10	in	in	ADP
fumecheng-4407	74	11	the	the	DET
fumecheng-4407	74	12	kernel	kernel	NOUN
fumecheng-4407	74	13	functions	function	NOUN
fumecheng-4407	74	14	to	to	PART
fumecheng-4407	74	15	highlight	highlight	VERB
fumecheng-4407	74	16	the	the	DET
fumecheng-4407	74	17	convolution	convolution	NOUN
fumecheng-4407	74	18	.	.	PUNCT
fumecheng-4407	74	19	)	)	PUNCT
fumecheng-4407	75	1	the	the	DET
fumecheng-4407	75	2	procedure	procedure	NOUN
fumecheng-4407	75	3	above	above	ADV
fumecheng-4407	75	4	has	have	VERB
fumecheng-4407	75	5	to	to	PART
fumecheng-4407	75	6	be	be	AUX
fumecheng-4407	75	7	applied	apply	VERB
fumecheng-4407	75	8	in	in	ADP
fumecheng-4407	75	9	the	the	DET
fumecheng-4407	75	10	same	same	ADJ
fumecheng-4407	75	11	style	style	NOUN
fumecheng-4407	75	12	for	for	ADP
fumecheng-4407	75	13	the	the	DET
fumecheng-4407	75	14	boundary	boundary	ADJ
fumecheng-4407	75	15	element	element	NOUN
fumecheng-4407	75	16	formulation	formulation	NOUN
fumecheng-4407	75	17	of	of	ADP
fumecheng-4407	75	18	the	the	DET
fumecheng-4407	75	19	navier	navier	NOUN
fumecheng-4407	75	20	equation	equation	NOUN
fumecheng-4407	75	21	in	in	ADP
fumecheng-4407	75	22	order	order	NOUN
fumecheng-4407	75	23	to	to	PART
fumecheng-4407	75	24	reveal	reveal	VERB
fumecheng-4407	75	25	the	the	DET
fumecheng-4407	75	26	convolution	convolution	NOUN
fumecheng-4407	75	27	terms	term	NOUN
fumecheng-4407	75	28	.	.	PUNCT
fumecheng-4407	76	1	efficient	efficient	ADJ
fumecheng-4407	76	2	calculation	calculation	NOUN
fumecheng-4407	76	3	of	of	ADP
fumecheng-4407	76	4	the	the	DET
fumecheng-4407	76	5	bem	bem	NOUN
fumecheng-4407	76	6	integrals	integral	NOUN
fumecheng-4407	76	7	on	on	ADP
fumecheng-4407	76	8	arbitrary	arbitrary	ADJ
fumecheng-4407	76	9	shapes	shape	NOUN
fumecheng-4407	76	10	with	with	ADP
fumecheng-4407	76	11	the	the	DET
fumecheng-4407	76	12	fft	fft	PROPN
fumecheng-4407	76	13	409	409	NUM
fumecheng-4407	76	14	boundary	boundary	ADJ
fumecheng-4407	76	15	shape	shape	NOUN
fumecheng-4407	76	16	and	and	CCONJ
fumecheng-4407	76	17	interpolation	interpolation	NOUN
fumecheng-4407	76	18	when	when	SCONJ
fumecheng-4407	76	19	the	the	DET
fumecheng-4407	76	20	boundary	boundary	NOUN
fumecheng-4407	76	21	of	of	ADP
fumecheng-4407	76	22	the	the	DET
fumecheng-4407	76	23	arbitrary	arbitrary	ADJ
fumecheng-4407	76	24	shape	shape	NOUN
fumecheng-4407	76	25	is	be	AUX
fumecheng-4407	76	26	not	not	PART
fumecheng-4407	76	27	aligned	align	VERB
fumecheng-4407	76	28	with	with	ADP
fumecheng-4407	76	29	the	the	DET
fumecheng-4407	76	30	uniform	uniform	NOUN
fumecheng-4407	76	31	grid	grid	NOUN
fumecheng-4407	76	32	on	on	ADP
fumecheng-4407	76	33	which	which	PRON
fumecheng-4407	76	34	the	the	DET
fumecheng-4407	76	35	fft	fft	NOUN
fumecheng-4407	76	36	is	be	AUX
fumecheng-4407	76	37	performed	perform	VERB
fumecheng-4407	76	38	one	one	NUM
fumecheng-4407	76	39	simply	simply	ADV
fumecheng-4407	76	40	obtains	obtain	VERB
fumecheng-4407	76	41	the	the	DET
fumecheng-4407	76	42	values	value	NOUN
fumecheng-4407	76	43	on	on	ADP
fumecheng-4407	76	44	the	the	DET
fumecheng-4407	76	45	boundary	boundary	NOUN
fumecheng-4407	76	46	where	where	SCONJ
fumecheng-4407	76	47	it	it	PRON
fumecheng-4407	76	48	cuts	cut	VERB
fumecheng-4407	76	49	through	through	ADP
fumecheng-4407	76	50	the	the	DET
fumecheng-4407	76	51	grid	grid	NOUN
fumecheng-4407	76	52	(	(	PUNCT
fumecheng-4407	76	53	see	see	VERB
fumecheng-4407	76	54	fig	fig	NOUN
fumecheng-4407	76	55	.	.	PUNCT
fumecheng-4407	77	1	2	2	NUM
fumecheng-4407	77	2	)	)	PUNCT
fumecheng-4407	77	3	.	.	PUNCT
fumecheng-4407	78	1	subsequently	subsequently	ADV
fumecheng-4407	78	2	,	,	PUNCT
fumecheng-4407	78	3	the	the	DET
fumecheng-4407	78	4	data	data	NOUN
fumecheng-4407	78	5	points	point	VERB
fumecheng-4407	78	6	on	on	ADP
fumecheng-4407	78	7	the	the	DET
fumecheng-4407	78	8	grid	grid	NOUN
fumecheng-4407	78	9	can	can	AUX
fumecheng-4407	78	10	be	be	AUX
fumecheng-4407	78	11	interpolated	interpolate	VERB
fumecheng-4407	78	12	to	to	ADP
fumecheng-4407	78	13	a	a	DET
fumecheng-4407	78	14	certain	certain	ADJ
fumecheng-4407	78	15	desired	desire	VERB
fumecheng-4407	78	16	spacing	spacing	NOUN
fumecheng-4407	78	17	on	on	ADP
fumecheng-4407	78	18	the	the	DET
fumecheng-4407	78	19	surface	surface	NOUN
fumecheng-4407	78	20	.	.	PUNCT
fumecheng-4407	79	1	fig	fig	NOUN
fumecheng-4407	79	2	.	.	PUNCT
fumecheng-4407	80	1	2	2	NUM
fumecheng-4407	80	2	an	an	DET
fumecheng-4407	80	3	arbitrary	arbitrary	ADJ
fumecheng-4407	80	4	boundary	boundary	NOUN
fumecheng-4407	80	5	which	which	PRON
fumecheng-4407	80	6	cuts	cut	VERB
fumecheng-4407	80	7	through	through	ADP
fumecheng-4407	80	8	a	a	DET
fumecheng-4407	80	9	uniform	uniform	ADJ
fumecheng-4407	80	10	grid	grid	NOUN
fumecheng-4407	80	11	.	.	PUNCT
fumecheng-4407	81	1	the	the	DET
fumecheng-4407	81	2	intersection	intersection	NOUN
fumecheng-4407	81	3	points	point	NOUN
fumecheng-4407	81	4	are	be	AUX
fumecheng-4407	81	5	marked	mark	VERB
fumecheng-4407	81	6	with	with	ADP
fumecheng-4407	81	7	black	black	ADJ
fumecheng-4407	81	8	dots	dot	NOUN
fumecheng-4407	81	9	conjugate	conjugate	VERB
fumecheng-4407	81	10	gradient	gradient	NOUN
fumecheng-4407	81	11	method	method	NOUN
fumecheng-4407	81	12	note	note	NOUN
fumecheng-4407	81	13	that	that	SCONJ
fumecheng-4407	81	14	although	although	SCONJ
fumecheng-4407	81	15	the	the	DET
fumecheng-4407	81	16	fft	fft	NOUN
fumecheng-4407	81	17	gives	give	VERB
fumecheng-4407	81	18	the	the	DET
fumecheng-4407	81	19	results	result	NOUN
fumecheng-4407	81	20	of	of	ADP
fumecheng-4407	81	21	the	the	DET
fumecheng-4407	81	22	boundary	boundary	ADJ
fumecheng-4407	81	23	integrals	integral	NOUN
fumecheng-4407	81	24	,	,	PUNCT
fumecheng-4407	81	25	the	the	DET
fumecheng-4407	81	26	final	final	ADJ
fumecheng-4407	81	27	results	result	NOUN
fumecheng-4407	81	28	for	for	ADP
fumecheng-4407	81	29	the	the	DET
fumecheng-4407	81	30	potential	potential	NOUN
fumecheng-4407	81	31	and	and	CCONJ
fumecheng-4407	81	32	the	the	DET
fumecheng-4407	81	33	flow	flow	NOUN
fumecheng-4407	81	34	,	,	PUNCT
fumecheng-4407	81	35	or	or	CCONJ
fumecheng-4407	81	36	the	the	DET
fumecheng-4407	81	37	deformations	deformation	NOUN
fumecheng-4407	81	38	and	and	CCONJ
fumecheng-4407	81	39	the	the	DET
fumecheng-4407	81	40	stresses	stress	NOUN
fumecheng-4407	81	41	which	which	PRON
fumecheng-4407	81	42	we	we	PRON
fumecheng-4407	81	43	seek	seek	AUX
fumecheng-4407	81	44	still	still	ADV
fumecheng-4407	81	45	reside	reside	VERB
fumecheng-4407	81	46	within	within	ADP
fumecheng-4407	81	47	these	these	DET
fumecheng-4407	81	48	integral	integral	ADJ
fumecheng-4407	81	49	formulations	formulation	NOUN
fumecheng-4407	81	50	(	(	PUNCT
fumecheng-4407	81	51	see	see	VERB
fumecheng-4407	81	52	eqs	eqs	PROPN
fumecheng-4407	81	53	.	.	PUNCT
fumecheng-4407	82	1	(	(	PUNCT
fumecheng-4407	82	2	2	2	NUM
fumecheng-4407	82	3	)	)	PUNCT
fumecheng-4407	82	4	and	and	CCONJ
fumecheng-4407	82	5	(	(	PUNCT
fumecheng-4407	82	6	5	5	NUM
fumecheng-4407	82	7	)	)	PUNCT
fumecheng-4407	82	8	)	)	PUNCT
fumecheng-4407	82	9	.	.	PUNCT
fumecheng-4407	83	1	therefore	therefore	ADV
fumecheng-4407	83	2	,	,	PUNCT
fumecheng-4407	83	3	an	an	DET
fumecheng-4407	83	4	iterative	iterative	NOUN
fumecheng-4407	83	5	method	method	NOUN
fumecheng-4407	83	6	such	such	ADJ
fumecheng-4407	83	7	as	as	ADP
fumecheng-4407	83	8	the	the	DET
fumecheng-4407	83	9	conjugate	conjugate	ADJ
fumecheng-4407	83	10	gradient	gradient	NOUN
fumecheng-4407	83	11	method	method	NOUN
fumecheng-4407	83	12	has	have	VERB
fumecheng-4407	83	13	to	to	PART
fumecheng-4407	83	14	be	be	AUX
fumecheng-4407	83	15	used	use	VERB
fumecheng-4407	83	16	to	to	PART
fumecheng-4407	83	17	obtain	obtain	VERB
fumecheng-4407	83	18	them	they	PRON
fumecheng-4407	83	19	.	.	PUNCT
fumecheng-4407	84	1	note	note	VERB
fumecheng-4407	84	2	that	that	SCONJ
fumecheng-4407	84	3	with	with	ADP
fumecheng-4407	84	4	the	the	DET
fumecheng-4407	84	5	fft	fft	NOUN
fumecheng-4407	84	6	technique	technique	NOUN
fumecheng-4407	84	7	used	use	VERB
fumecheng-4407	84	8	for	for	ADP
fumecheng-4407	84	9	the	the	DET
fumecheng-4407	84	10	half	half	ADJ
fumecheng-4407	84	11	space	space	NOUN
fumecheng-4407	84	12	,	,	PUNCT
fumecheng-4407	84	13	only	only	ADV
fumecheng-4407	84	14	the	the	DET
fumecheng-4407	84	15	surface	surface	NOUN
fumecheng-4407	84	16	stresses	stress	NOUN
fumecheng-4407	84	17	occur	occur	VERB
fumecheng-4407	84	18	within	within	ADP
fumecheng-4407	84	19	the	the	DET
fumecheng-4407	84	20	integral	integral	ADJ
fumecheng-4407	84	21	and	and	CCONJ
fumecheng-4407	84	22	require	require	VERB
fumecheng-4407	84	23	a	a	DET
fumecheng-4407	84	24	conjugate	conjugate	ADJ
fumecheng-4407	84	25	gradient	gradient	NOUN
fumecheng-4407	84	26	method	method	NOUN
fumecheng-4407	84	27	,	,	PUNCT
fumecheng-4407	84	28	and	and	CCONJ
fumecheng-4407	84	29	not	not	PART
fumecheng-4407	84	30	the	the	DET
fumecheng-4407	84	31	surface	surface	NOUN
fumecheng-4407	84	32	deflections	deflection	NOUN
fumecheng-4407	84	33	(	(	PUNCT
fumecheng-4407	84	34	see	see	VERB
fumecheng-4407	84	35	eq	eq	ADP
fumecheng-4407	84	36	.	.	PUNCT
fumecheng-4407	85	1	(	(	PUNCT
fumecheng-4407	85	2	7	7	NUM
fumecheng-4407	85	3	)	)	PUNCT
fumecheng-4407	85	4	)	)	PUNCT
fumecheng-4407	85	5	.	.	PUNCT
fumecheng-4407	86	1	further	further	ADJ
fumecheng-4407	86	2	reduction	reduction	NOUN
fumecheng-4407	86	3	of	of	ADP
fumecheng-4407	86	4	the	the	DET
fumecheng-4407	86	5	computational	computational	ADJ
fumecheng-4407	86	6	complexity	complexity	NOUN
fumecheng-4407	86	7	the	the	DET
fumecheng-4407	86	8	kernel	kernel	PROPN
fumecheng-4407	86	9	functions	function	NOUN
fumecheng-4407	86	10	change	change	VERB
fumecheng-4407	86	11	very	very	ADV
fumecheng-4407	86	12	little	little	ADJ
fumecheng-4407	86	13	far	far	ADV
fumecheng-4407	86	14	away	away	ADV
fumecheng-4407	86	15	from	from	ADP
fumecheng-4407	86	16	evaluation	evaluation	NOUN
fumecheng-4407	86	17	point	point	NOUN
fumecheng-4407	86	18	0x	0x	NOUN
fumecheng-4407	86	19	.	.	PUNCT
fumecheng-4407	87	1	in	in	ADP
fumecheng-4407	87	2	close	close	ADJ
fumecheng-4407	87	3	proximity	proximity	NOUN
fumecheng-4407	87	4	to	to	ADP
fumecheng-4407	87	5	the	the	DET
fumecheng-4407	87	6	point	point	NOUN
fumecheng-4407	87	7	they	they	PRON
fumecheng-4407	87	8	change	change	VERB
fumecheng-4407	87	9	rapidly	rapidly	ADV
fumecheng-4407	87	10	(	(	PUNCT
fumecheng-4407	87	11	see	see	VERB
fumecheng-4407	87	12	fig	fig	NOUN
fumecheng-4407	87	13	.	.	PUNCT
fumecheng-4407	88	1	3	3	NUM
fumecheng-4407	88	2	)	)	PUNCT
fumecheng-4407	88	3	.	.	PUNCT
fumecheng-4407	89	1	fig	fig	NOUN
fumecheng-4407	89	2	.	.	PUNCT
fumecheng-4407	90	1	3	3	NUM
fumecheng-4407	90	2	kernel	kernel	NOUN
fumecheng-4407	90	3	functions	function	NOUN
fumecheng-4407	90	4	of	of	ADP
fumecheng-4407	90	5	the	the	DET
fumecheng-4407	90	6	integral	integral	ADJ
fumecheng-4407	90	7	formulation	formulation	NOUN
fumecheng-4407	90	8	(	(	PUNCT
fumecheng-4407	90	9	12	12	NUM
fumecheng-4407	90	10	)	)	PUNCT
fumecheng-4407	90	11	therefore	therefore	ADV
fumecheng-4407	90	12	,	,	PUNCT
fumecheng-4407	90	13	one	one	PRON
fumecheng-4407	90	14	may	may	AUX
fumecheng-4407	90	15	obtain	obtain	VERB
fumecheng-4407	90	16	a	a	DET
fumecheng-4407	90	17	further	further	ADJ
fumecheng-4407	90	18	reduction	reduction	NOUN
fumecheng-4407	90	19	in	in	ADP
fumecheng-4407	90	20	computational	computational	ADJ
fumecheng-4407	90	21	complexity	complexity	NOUN
fumecheng-4407	90	22	when	when	SCONJ
fumecheng-4407	90	23	the	the	DET
fumecheng-4407	90	24	uniform	uniform	NOUN
fumecheng-4407	90	25	grid	grid	NOUN
fumecheng-4407	90	26	has	have	VERB
fumecheng-4407	90	27	a	a	DET
fumecheng-4407	90	28	finer	fine	ADJ
fumecheng-4407	90	29	resolution	resolution	NOUN
fumecheng-4407	90	30	close	close	ADV
fumecheng-4407	90	31	to	to	ADP
fumecheng-4407	90	32	the	the	DET
fumecheng-4407	90	33	evaluation	evaluation	NOUN
fumecheng-4407	90	34	point	point	NOUN
fumecheng-4407	90	35	than	than	SCONJ
fumecheng-4407	90	36	it	it	PRON
fumecheng-4407	90	37	has	have	VERB
fumecheng-4407	90	38	farther	far	ADV
fumecheng-4407	90	39	away	away	ADV
fumecheng-4407	90	40	from	from	ADP
fumecheng-4407	90	41	it	it	PRON
fumecheng-4407	90	42	.	.	PUNCT
fumecheng-4407	91	1	this	this	DET
fumecheng-4407	91	2	technique	technique	NOUN
fumecheng-4407	91	3	is	be	AUX
fumecheng-4407	91	4	of	of	ADP
fumecheng-4407	91	5	particular	particular	ADJ
fumecheng-4407	91	6	interest	interest	NOUN
fumecheng-4407	91	7	if	if	SCONJ
fumecheng-4407	91	8	the	the	DET
fumecheng-4407	91	9	values	value	NOUN
fumecheng-4407	91	10	of	of	ADP
fumecheng-4407	91	11	only	only	ADV
fumecheng-4407	91	12	very	very	ADV
fumecheng-4407	91	13	few	few	ADJ
fumecheng-4407	91	14	points	point	NOUN
fumecheng-4407	91	15	of	of	ADP
fumecheng-4407	91	16	the	the	DET
fumecheng-4407	91	17	410	410	NUM
fumecheng-4407	91	18	j.	j.	PROPN
fumecheng-4407	91	19	benad	benad	PROPN
fumecheng-4407	91	20	domain	domain	NOUN
fumecheng-4407	91	21	are	be	AUX
fumecheng-4407	91	22	of	of	ADP
fumecheng-4407	91	23	interest	interest	NOUN
fumecheng-4407	91	24	,	,	PUNCT
fumecheng-4407	91	25	which	which	PRON
fumecheng-4407	91	26	is	be	AUX
fumecheng-4407	91	27	the	the	DET
fumecheng-4407	91	28	case	case	NOUN
fumecheng-4407	91	29	for	for	ADP
fumecheng-4407	91	30	the	the	DET
fumecheng-4407	91	31	method	method	NOUN
fumecheng-4407	91	32	described	describe	VERB
fumecheng-4407	91	33	here	here	ADV
fumecheng-4407	91	34	.	.	PUNCT
fumecheng-4407	92	1	in	in	ADP
fumecheng-4407	92	2	contrast	contrast	NOUN
fumecheng-4407	92	3	to	to	ADP
fumecheng-4407	92	4	the	the	DET
fumecheng-4407	92	5	fft	fft	NOUN
fumecheng-4407	92	6	for	for	ADP
fumecheng-4407	92	7	the	the	DET
fumecheng-4407	92	8	half	half	ADJ
fumecheng-4407	92	9	-	-	PUNCT
fumecheng-4407	92	10	space	space	NOUN
fumecheng-4407	92	11	where	where	SCONJ
fumecheng-4407	92	12	the	the	DET
fumecheng-4407	92	13	results	result	NOUN
fumecheng-4407	92	14	of	of	ADP
fumecheng-4407	92	15	the	the	DET
fumecheng-4407	92	16	fft	fft	NOUN
fumecheng-4407	92	17	are	be	AUX
fumecheng-4407	92	18	of	of	ADP
fumecheng-4407	92	19	interest	interest	NOUN
fumecheng-4407	92	20	on	on	ADP
fumecheng-4407	92	21	all	all	DET
fumecheng-4407	92	22	discretization	discretization	NOUN
fumecheng-4407	92	23	points	point	NOUN
fumecheng-4407	92	24	in	in	ADP
fumecheng-4407	92	25	the	the	DET
fumecheng-4407	92	26	domain	domain	NOUN
fumecheng-4407	92	27	,	,	PUNCT
fumecheng-4407	92	28	we	we	PRON
fumecheng-4407	92	29	seek	seek	VERB
fumecheng-4407	92	30	here	here	ADV
fumecheng-4407	92	31	only	only	ADV
fumecheng-4407	92	32	the	the	DET
fumecheng-4407	92	33	values	value	NOUN
fumecheng-4407	92	34	which	which	PRON
fumecheng-4407	92	35	lie	lie	VERB
fumecheng-4407	92	36	directly	directly	ADV
fumecheng-4407	92	37	on	on	ADP
fumecheng-4407	92	38	or	or	CCONJ
fumecheng-4407	92	39	very	very	ADV
fumecheng-4407	92	40	near	near	ADP
fumecheng-4407	92	41	a	a	DET
fumecheng-4407	92	42	certain	certain	ADJ
fumecheng-4407	92	43	boundary	boundary	ADJ
fumecheng-4407	92	44	shape	shape	NOUN
fumecheng-4407	92	45	.	.	PUNCT
fumecheng-4407	93	1	with	with	ADP
fumecheng-4407	93	2	a	a	DET
fumecheng-4407	93	3	finer	fine	ADJ
fumecheng-4407	93	4	uniform	uniform	NOUN
fumecheng-4407	93	5	grid	grid	NOUN
fumecheng-4407	93	6	in	in	ADP
fumecheng-4407	93	7	close	close	ADJ
fumecheng-4407	93	8	vicinity	vicinity	NOUN
fumecheng-4407	93	9	of	of	ADP
fumecheng-4407	93	10	the	the	DET
fumecheng-4407	93	11	surface	surface	NOUN
fumecheng-4407	93	12	,	,	PUNCT
fumecheng-4407	93	13	one	one	PRON
fumecheng-4407	93	14	may	may	AUX
fumecheng-4407	93	15	save	save	VERB
fumecheng-4407	93	16	the	the	DET
fumecheng-4407	93	17	effort	effort	NOUN
fumecheng-4407	93	18	of	of	ADP
fumecheng-4407	93	19	computing	compute	VERB
fumecheng-4407	93	20	non	non	ADJ
fumecheng-4407	93	21	-	-	ADJ
fumecheng-4407	93	22	required	required	ADJ
fumecheng-4407	93	23	values	value	NOUN
fumecheng-4407	93	24	at	at	ADP
fumecheng-4407	93	25	many	many	ADJ
fumecheng-4407	93	26	discretization	discretization	NOUN
fumecheng-4407	93	27	points	point	NOUN
fumecheng-4407	93	28	which	which	PRON
fumecheng-4407	93	29	lie	lie	VERB
fumecheng-4407	93	30	within	within	ADP
fumecheng-4407	93	31	the	the	DET
fumecheng-4407	93	32	arbitrary	arbitrary	ADJ
fumecheng-4407	93	33	surface	surface	NOUN
fumecheng-4407	93	34	or	or	CCONJ
fumecheng-4407	93	35	which	which	PRON
fumecheng-4407	93	36	surround	surround	VERB
fumecheng-4407	93	37	it	it	PRON
fumecheng-4407	93	38	.	.	PUNCT
fumecheng-4407	94	1	in	in	ADP
fumecheng-4407	94	2	order	order	NOUN
fumecheng-4407	94	3	to	to	PART
fumecheng-4407	94	4	realize	realize	VERB
fumecheng-4407	94	5	this	this	DET
fumecheng-4407	94	6	concept	concept	NOUN
fumecheng-4407	94	7	,	,	PUNCT
fumecheng-4407	94	8	one	one	PRON
fumecheng-4407	94	9	can	can	AUX
fumecheng-4407	94	10	perform	perform	VERB
fumecheng-4407	94	11	a	a	DET
fumecheng-4407	94	12	rough	rough	ADJ
fumecheng-4407	94	13	calculation	calculation	NOUN
fumecheng-4407	94	14	on	on	ADP
fumecheng-4407	94	15	the	the	DET
fumecheng-4407	94	16	entire	entire	ADJ
fumecheng-4407	94	17	uniform	uniform	NOUN
fumecheng-4407	94	18	grid	grid	NOUN
fumecheng-4407	94	19	which	which	PRON
fumecheng-4407	94	20	fully	fully	ADV
fumecheng-4407	94	21	encloses	enclose	VERB
fumecheng-4407	94	22	the	the	DET
fumecheng-4407	94	23	surface	surface	NOUN
fumecheng-4407	94	24	but	but	CCONJ
fumecheng-4407	94	25	which	which	PRON
fumecheng-4407	94	26	has	have	VERB
fumecheng-4407	94	27	a	a	DET
fumecheng-4407	94	28	low	low	ADJ
fumecheng-4407	94	29	resolution	resolution	NOUN
fumecheng-4407	94	30	.	.	PUNCT
fumecheng-4407	95	1	subsequently	subsequently	ADV
fumecheng-4407	95	2	,	,	PUNCT
fumecheng-4407	95	3	the	the	DET
fumecheng-4407	95	4	influence	influence	NOUN
fumecheng-4407	95	5	of	of	ADP
fumecheng-4407	95	6	the	the	DET
fumecheng-4407	95	7	rough	rough	ADJ
fumecheng-4407	95	8	discretization	discretization	NOUN
fumecheng-4407	95	9	points	point	VERB
fumecheng-4407	95	10	close	close	ADV
fumecheng-4407	95	11	to	to	ADP
fumecheng-4407	95	12	the	the	DET
fumecheng-4407	95	13	evaluation	evaluation	NOUN
fumecheng-4407	95	14	points	point	NOUN
fumecheng-4407	95	15	is	be	AUX
fumecheng-4407	95	16	deleted	delete	VERB
fumecheng-4407	95	17	and	and	CCONJ
fumecheng-4407	95	18	replaced	replace	VERB
fumecheng-4407	95	19	with	with	ADP
fumecheng-4407	95	20	the	the	DET
fumecheng-4407	95	21	influence	influence	NOUN
fumecheng-4407	95	22	of	of	ADP
fumecheng-4407	95	23	many	many	ADJ
fumecheng-4407	95	24	discretization	discretization	NOUN
fumecheng-4407	95	25	points	point	VERB
fumecheng-4407	95	26	from	from	ADP
fumecheng-4407	95	27	a	a	DET
fumecheng-4407	95	28	finer	fine	ADJ
fumecheng-4407	95	29	local	local	ADJ
fumecheng-4407	95	30	grid	grid	NOUN
fumecheng-4407	95	31	.	.	PUNCT
fumecheng-4407	96	1	several	several	ADJ
fumecheng-4407	96	2	of	of	ADP
fumecheng-4407	96	3	these	these	DET
fumecheng-4407	96	4	finer	fine	ADJ
fumecheng-4407	96	5	local	local	ADJ
fumecheng-4407	96	6	grids	grid	NOUN
fumecheng-4407	96	7	are	be	AUX
fumecheng-4407	96	8	placed	place	VERB
fumecheng-4407	96	9	along	along	ADP
fumecheng-4407	96	10	the	the	DET
fumecheng-4407	96	11	surface	surface	NOUN
fumecheng-4407	96	12	but	but	CCONJ
fumecheng-4407	96	13	not	not	PART
fumecheng-4407	96	14	in	in	ADP
fumecheng-4407	96	15	the	the	DET
fumecheng-4407	96	16	areas	area	NOUN
fumecheng-4407	96	17	where	where	SCONJ
fumecheng-4407	96	18	we	we	PRON
fumecheng-4407	96	19	have	have	VERB
fumecheng-4407	96	20	no	no	DET
fumecheng-4407	96	21	interest	interest	NOUN
fumecheng-4407	96	22	in	in	ADP
fumecheng-4407	96	23	the	the	DET
fumecheng-4407	96	24	results	result	NOUN
fumecheng-4407	96	25	(	(	PUNCT
fumecheng-4407	96	26	see	see	VERB
fumecheng-4407	96	27	fig	fig	NOUN
fumecheng-4407	96	28	.	.	PUNCT
fumecheng-4407	97	1	4	4	NUM
fumecheng-4407	97	2	)	)	PUNCT
fumecheng-4407	97	3	.	.	PUNCT
fumecheng-4407	98	1	note	note	VERB
fumecheng-4407	98	2	that	that	SCONJ
fumecheng-4407	98	3	the	the	DET
fumecheng-4407	98	4	convolutions	convolution	NOUN
fumecheng-4407	98	5	over	over	ADP
fumecheng-4407	98	6	these	these	DET
fumecheng-4407	98	7	finer	fine	ADJ
fumecheng-4407	98	8	grids	grid	NOUN
fumecheng-4407	98	9	can	can	AUX
fumecheng-4407	98	10	be	be	AUX
fumecheng-4407	98	11	obtained	obtain	VERB
fumecheng-4407	98	12	rapidly	rapidly	ADV
fumecheng-4407	98	13	parallel	parallel	ADJ
fumecheng-4407	98	14	to	to	ADP
fumecheng-4407	98	15	each	each	DET
fumecheng-4407	98	16	other	other	ADJ
fumecheng-4407	98	17	since	since	SCONJ
fumecheng-4407	98	18	their	their	PRON
fumecheng-4407	98	19	results	result	NOUN
fumecheng-4407	98	20	do	do	AUX
fumecheng-4407	98	21	not	not	PART
fumecheng-4407	98	22	depend	depend	VERB
fumecheng-4407	98	23	on	on	ADP
fumecheng-4407	98	24	each	each	DET
fumecheng-4407	98	25	other	other	ADJ
fumecheng-4407	98	26	.	.	PUNCT
fumecheng-4407	99	1	fig	fig	NOUN
fumecheng-4407	99	2	.	.	PUNCT
fumecheng-4407	100	1	4	4	NUM
fumecheng-4407	100	2	fine	fine	ADJ
fumecheng-4407	100	3	local	local	ADJ
fumecheng-4407	100	4	uniform	uniform	ADJ
fumecheng-4407	100	5	grids	grid	NOUN
fumecheng-4407	100	6	placed	place	VERB
fumecheng-4407	100	7	along	along	ADP
fumecheng-4407	100	8	the	the	DET
fumecheng-4407	100	9	surface	surface	NOUN
fumecheng-4407	100	10	of	of	ADP
fumecheng-4407	100	11	an	an	DET
fumecheng-4407	100	12	arbitrary	arbitrary	ADJ
fumecheng-4407	100	13	shape	shape	NOUN
fumecheng-4407	100	14	which	which	PRON
fumecheng-4407	100	15	is	be	AUX
fumecheng-4407	100	16	fully	fully	ADV
fumecheng-4407	100	17	enclosed	enclose	VERB
fumecheng-4407	100	18	by	by	ADP
fumecheng-4407	100	19	a	a	DET
fumecheng-4407	100	20	rough	rough	ADJ
fumecheng-4407	100	21	uniform	uniform	NOUN
fumecheng-4407	100	22	grid	grid	NOUN
fumecheng-4407	100	23	4	4	NUM
fumecheng-4407	100	24	.	.	PUNCT
fumecheng-4407	100	25	simulation	simulation	NOUN
fumecheng-4407	100	26	example	example	NOUN
fumecheng-4407	100	27	in	in	ADP
fumecheng-4407	100	28	this	this	DET
fumecheng-4407	100	29	section	section	NOUN
fumecheng-4407	100	30	we	we	PRON
fumecheng-4407	100	31	will	will	AUX
fumecheng-4407	100	32	present	present	VERB
fumecheng-4407	100	33	a	a	DET
fumecheng-4407	100	34	small	small	ADJ
fumecheng-4407	100	35	example	example	NOUN
fumecheng-4407	100	36	to	to	PART
fumecheng-4407	100	37	illustrate	illustrate	VERB
fumecheng-4407	100	38	how	how	SCONJ
fumecheng-4407	100	39	the	the	DET
fumecheng-4407	100	40	fft	fft	NOUN
fumecheng-4407	100	41	can	can	AUX
fumecheng-4407	100	42	be	be	AUX
fumecheng-4407	100	43	used	use	VERB
fumecheng-4407	100	44	to	to	PART
fumecheng-4407	100	45	obtain	obtain	VERB
fumecheng-4407	100	46	the	the	DET
fumecheng-4407	100	47	boundary	boundary	ADJ
fumecheng-4407	100	48	integrals	integral	NOUN
fumecheng-4407	100	49	on	on	ADP
fumecheng-4407	100	50	arbitrary	arbitrary	ADJ
fumecheng-4407	100	51	shapes	shape	NOUN
fumecheng-4407	100	52	.	.	PUNCT
fumecheng-4407	101	1	contrary	contrary	ADJ
fumecheng-4407	101	2	to	to	ADP
fumecheng-4407	101	3	the	the	DET
fumecheng-4407	101	4	example	example	NOUN
fumecheng-4407	101	5	given	give	VERB
fumecheng-4407	101	6	in	in	ADP
fumecheng-4407	101	7	[	[	X
fumecheng-4407	101	8	15	15	NUM
fumecheng-4407	101	9	]	]	PUNCT
fumecheng-4407	101	10	where	where	SCONJ
fumecheng-4407	101	11	a	a	DET
fumecheng-4407	101	12	simple	simple	ADJ
fumecheng-4407	101	13	rectangular	rectangular	ADJ
fumecheng-4407	101	14	boundary	boundary	NOUN
fumecheng-4407	101	15	was	be	AUX
fumecheng-4407	101	16	used	use	VERB
fumecheng-4407	101	17	,	,	PUNCT
fumecheng-4407	101	18	we	we	PRON
fumecheng-4407	101	19	will	will	AUX
fumecheng-4407	101	20	here	here	ADV
fumecheng-4407	101	21	extend	extend	VERB
fumecheng-4407	101	22	the	the	DET
fumecheng-4407	101	23	calculation	calculation	NOUN
fumecheng-4407	101	24	method	method	NOUN
fumecheng-4407	101	25	to	to	ADP
fumecheng-4407	101	26	more	more	ADV
fumecheng-4407	101	27	sophisticated	sophisticated	ADJ
fumecheng-4407	101	28	curved	curved	ADJ
fumecheng-4407	101	29	shapes	shape	NOUN
fumecheng-4407	101	30	.	.	PUNCT
fumecheng-4407	102	1	we	we	PRON
fumecheng-4407	102	2	will	will	AUX
fumecheng-4407	102	3	show	show	VERB
fumecheng-4407	102	4	different	different	ADJ
fumecheng-4407	102	5	implementation	implementation	NOUN
fumecheng-4407	102	6	techniques	technique	NOUN
fumecheng-4407	102	7	which	which	PRON
fumecheng-4407	102	8	all	all	PRON
fumecheng-4407	102	9	have	have	VERB
fumecheng-4407	102	10	the	the	DET
fumecheng-4407	102	11	same	same	ADJ
fumecheng-4407	102	12	order	order	NOUN
fumecheng-4407	102	13	of	of	ADP
fumecheng-4407	102	14	computational	computational	ADJ
fumecheng-4407	102	15	complexity	complexity	NOUN
fumecheng-4407	102	16	.	.	PUNCT
fumecheng-4407	103	1	however	however	ADV
fumecheng-4407	103	2	,	,	PUNCT
fumecheng-4407	103	3	their	their	PRON
fumecheng-4407	103	4	accuracy	accuracy	NOUN
fumecheng-4407	103	5	varies	vary	VERB
fumecheng-4407	103	6	significantly	significantly	ADV
fumecheng-4407	103	7	.	.	PUNCT
fumecheng-4407	104	1	technique	technique	NOUN
fumecheng-4407	104	2	i	i	NOUN
fumecheng-4407	104	3	:	:	PUNCT
fumecheng-4407	104	4	fft	fft	PROPN
fumecheng-4407	104	5	,	,	PUNCT
fumecheng-4407	104	6	nearest	nearest	NOUN
fumecheng-4407	104	7	-	-	PUNCT
fumecheng-4407	104	8	panel	panel	NOUN
fumecheng-4407	104	9	boundary	boundary	NOUN
fumecheng-4407	104	10	consider	consider	VERB
fumecheng-4407	104	11	the	the	DET
fumecheng-4407	104	12	boundary	boundary	NOUN
fumecheng-4407	104	13	of	of	ADP
fumecheng-4407	104	14	an	an	DET
fumecheng-4407	104	15	arbitrary	arbitrary	ADJ
fumecheng-4407	104	16	two	two	NUM
fumecheng-4407	104	17	-	-	PUNCT
fumecheng-4407	104	18	dimensional	dimensional	ADJ
fumecheng-4407	104	19	shape	shape	NOUN
fumecheng-4407	104	20	as	as	SCONJ
fumecheng-4407	104	21	displayed	display	VERB
fumecheng-4407	104	22	in	in	ADP
fumecheng-4407	104	23	fig	fig	NOUN
fumecheng-4407	104	24	.	.	PUNCT
fumecheng-4407	105	1	5	5	NUM
fumecheng-4407	106	1	and	and	CCONJ
fumecheng-4407	106	2	let	let	VERB
fumecheng-4407	106	3	it	it	PRON
fumecheng-4407	106	4	be	be	AUX
fumecheng-4407	106	5	fully	fully	ADV
fumecheng-4407	106	6	enclosed	enclose	VERB
fumecheng-4407	106	7	by	by	ADP
fumecheng-4407	106	8	a	a	DET
fumecheng-4407	106	9	uniform	uniform	ADJ
fumecheng-4407	106	10	grid	grid	NOUN
fumecheng-4407	106	11	.	.	PUNCT
fumecheng-4407	107	1	each	each	DET
fumecheng-4407	107	2	panel	panel	NOUN
fumecheng-4407	107	3	through	through	ADP
fumecheng-4407	107	4	which	which	PRON
fumecheng-4407	107	5	the	the	DET
fumecheng-4407	107	6	boundary	boundary	ADJ
fumecheng-4407	107	7	cuts	cut	NOUN
fumecheng-4407	107	8	is	be	AUX
fumecheng-4407	107	9	highlighted	highlight	VERB
fumecheng-4407	107	10	gray	gray	ADJ
fumecheng-4407	107	11	in	in	ADP
fumecheng-4407	107	12	fig	fig	NOUN
fumecheng-4407	107	13	.	.	PUNCT
fumecheng-4407	108	1	5	5	X
fumecheng-4407	108	2	.	.	PUNCT
fumecheng-4407	109	1	the	the	DET
fumecheng-4407	109	2	two	two	NUM
fumecheng-4407	109	3	intersection	intersection	NOUN
fumecheng-4407	109	4	points	point	NOUN
fumecheng-4407	109	5	of	of	ADP
fumecheng-4407	109	6	the	the	DET
fumecheng-4407	109	7	boundary	boundary	NOUN
fumecheng-4407	109	8	with	with	ADP
fumecheng-4407	109	9	the	the	DET
fumecheng-4407	109	10	edges	edge	NOUN
fumecheng-4407	109	11	of	of	ADP
fumecheng-4407	109	12	a	a	DET
fumecheng-4407	109	13	panel	panel	NOUN
fumecheng-4407	109	14	shall	shall	AUX
fumecheng-4407	109	15	define	define	VERB
fumecheng-4407	109	16	the	the	DET
fumecheng-4407	109	17	beginning	beginning	NOUN
fumecheng-4407	109	18	and	and	CCONJ
fumecheng-4407	109	19	end	end	NOUN
fumecheng-4407	109	20	of	of	ADP
fumecheng-4407	109	21	a	a	DET
fumecheng-4407	109	22	constant	constant	ADJ
fumecheng-4407	109	23	boundary	boundary	ADJ
fumecheng-4407	109	24	element	element	NOUN
fumecheng-4407	109	25	.	.	PUNCT
fumecheng-4407	110	1	this	this	PRON
fumecheng-4407	110	2	leads	lead	VERB
fumecheng-4407	110	3	to	to	ADP
fumecheng-4407	110	4	an	an	DET
fumecheng-4407	110	5	irregular	irregular	ADJ
fumecheng-4407	110	6	size	size	NOUN
fumecheng-4407	110	7	distribution	distribution	NOUN
fumecheng-4407	110	8	of	of	ADP
fumecheng-4407	110	9	the	the	DET
fumecheng-4407	110	10	elements	element	NOUN
fumecheng-4407	110	11	along	along	ADP
fumecheng-4407	110	12	the	the	DET
fumecheng-4407	110	13	boundary	boundary	NOUN
fumecheng-4407	110	14	.	.	PUNCT
fumecheng-4407	111	1	for	for	ADP
fumecheng-4407	111	2	this	this	DET
fumecheng-4407	111	3	first	first	ADJ
fumecheng-4407	111	4	preliminary	preliminary	ADJ
fumecheng-4407	111	5	study	study	NOUN
fumecheng-4407	111	6	,	,	PUNCT
fumecheng-4407	111	7	we	we	PRON
fumecheng-4407	111	8	will	will	AUX
fumecheng-4407	111	9	accept	accept	VERB
fumecheng-4407	111	10	this	this	PRON
fumecheng-4407	111	11	.	.	PUNCT
fumecheng-4407	112	1	efficient	efficient	ADJ
fumecheng-4407	112	2	calculation	calculation	NOUN
fumecheng-4407	112	3	of	of	ADP
fumecheng-4407	112	4	the	the	DET
fumecheng-4407	112	5	bem	bem	NOUN
fumecheng-4407	112	6	integrals	integral	NOUN
fumecheng-4407	112	7	on	on	ADP
fumecheng-4407	112	8	arbitrary	arbitrary	ADJ
fumecheng-4407	112	9	shapes	shape	NOUN
fumecheng-4407	112	10	with	with	ADP
fumecheng-4407	112	11	the	the	DET
fumecheng-4407	112	12	fft	fft	PROPN
fumecheng-4407	112	13	411	411	NUM
fumecheng-4407	112	14	fig	fig	NOUN
fumecheng-4407	112	15	.	.	PUNCT
fumecheng-4407	113	1	5	5	NUM
fumecheng-4407	113	2	an	an	DET
fumecheng-4407	113	3	arbitrary	arbitrary	ADJ
fumecheng-4407	113	4	two	two	NUM
fumecheng-4407	113	5	-	-	PUNCT
fumecheng-4407	113	6	dimensional	dimensional	ADJ
fumecheng-4407	113	7	shape	shape	NOUN
fumecheng-4407	113	8	fully	fully	ADV
fumecheng-4407	113	9	enclosed	enclose	VERB
fumecheng-4407	113	10	with	with	ADP
fumecheng-4407	113	11	a	a	DET
fumecheng-4407	113	12	uniform	uniform	ADJ
fumecheng-4407	113	13	grid	grid	NOUN
fumecheng-4407	113	14	.	.	PUNCT
fumecheng-4407	114	1	the	the	DET
fumecheng-4407	114	2	intersection	intersection	NOUN
fumecheng-4407	114	3	points	point	NOUN
fumecheng-4407	114	4	of	of	ADP
fumecheng-4407	114	5	its	its	PRON
fumecheng-4407	114	6	boundary	boundary	ADJ
fumecheng-4407	114	7	(	(	PUNCT
fumecheng-4407	114	8	gray	gray	ADJ
fumecheng-4407	114	9	thin	thin	ADJ
fumecheng-4407	114	10	line	line	NOUN
fumecheng-4407	114	11	)	)	PUNCT
fumecheng-4407	114	12	with	with	ADP
fumecheng-4407	114	13	the	the	DET
fumecheng-4407	114	14	grid	grid	NOUN
fumecheng-4407	114	15	(	(	PUNCT
fumecheng-4407	114	16	black	black	ADJ
fumecheng-4407	114	17	dots	dot	NOUN
fumecheng-4407	114	18	)	)	PUNCT
fumecheng-4407	114	19	define	define	VERB
fumecheng-4407	114	20	start	start	NOUN
fumecheng-4407	114	21	and	and	CCONJ
fumecheng-4407	114	22	end	end	VERB
fumecheng-4407	114	23	points	point	NOUN
fumecheng-4407	114	24	of	of	ADP
fumecheng-4407	114	25	the	the	DET
fumecheng-4407	114	26	boundary	boundary	ADJ
fumecheng-4407	114	27	elements	element	NOUN
fumecheng-4407	114	28	(	(	PUNCT
fumecheng-4407	114	29	bold	bold	ADJ
fumecheng-4407	114	30	black	black	ADJ
fumecheng-4407	114	31	straight	straight	ADJ
fumecheng-4407	114	32	lines	line	NOUN
fumecheng-4407	114	33	)	)	PUNCT
fumecheng-4407	114	34	.	.	PUNCT
fumecheng-4407	115	1	in	in	ADP
fumecheng-4407	115	2	the	the	DET
fumecheng-4407	115	3	left	left	ADJ
fumecheng-4407	115	4	graph	graph	NOUN
fumecheng-4407	115	5	the	the	DET
fumecheng-4407	115	6	grid	grid	NOUN
fumecheng-4407	115	7	has	have	VERB
fumecheng-4407	115	8	n	n	NOUN
fumecheng-4407	115	9	=	=	SYM
fumecheng-4407	115	10	10	10	NUM
fumecheng-4407	115	11	panels	panel	NOUN
fumecheng-4407	115	12	on	on	ADP
fumecheng-4407	115	13	each	each	DET
fumecheng-4407	115	14	side	side	NOUN
fumecheng-4407	115	15	.	.	PUNCT
fumecheng-4407	116	1	the	the	DET
fumecheng-4407	116	2	right	right	ADJ
fumecheng-4407	116	3	graph	graph	NOUN
fumecheng-4407	116	4	displays	display	VERB
fumecheng-4407	116	5	a	a	DET
fumecheng-4407	116	6	finer	fine	ADJ
fumecheng-4407	116	7	resolution	resolution	NOUN
fumecheng-4407	116	8	with	with	ADP
fumecheng-4407	116	9	n	n	NOUN
fumecheng-4407	116	10	=	=	SYM
fumecheng-4407	116	11	56	56	NUM
fumecheng-4407	116	12	we	we	PRON
fumecheng-4407	116	13	now	now	ADV
fumecheng-4407	116	14	seek	seek	VERB
fumecheng-4407	116	15	to	to	PART
fumecheng-4407	116	16	calculate	calculate	VERB
fumecheng-4407	116	17	the	the	DET
fumecheng-4407	116	18	boundary	boundary	ADJ
fumecheng-4407	116	19	integrals	integral	NOUN
fumecheng-4407	116	20	(	(	PUNCT
fumecheng-4407	116	21	12	12	NUM
fumecheng-4407	116	22	)	)	PUNCT
fumecheng-4407	116	23	of	of	ADP
fumecheng-4407	116	24	the	the	DET
fumecheng-4407	116	25	laplace	laplace	NOUN
fumecheng-4407	116	26	equation	equation	NOUN
fumecheng-4407	116	27	(	(	PUNCT
fumecheng-4407	116	28	1	1	NUM
fumecheng-4407	116	29	)	)	PUNCT
fumecheng-4407	116	30	on	on	ADP
fumecheng-4407	116	31	the	the	DET
fumecheng-4407	116	32	boundary	boundary	NOUN
fumecheng-4407	116	33	of	of	ADP
fumecheng-4407	116	34	the	the	DET
fumecheng-4407	116	35	chosen	choose	VERB
fumecheng-4407	116	36	shape	shape	NOUN
fumecheng-4407	116	37	.	.	PUNCT
fumecheng-4407	117	1	in	in	ADP
fumecheng-4407	117	2	order	order	NOUN
fumecheng-4407	117	3	to	to	PART
fumecheng-4407	117	4	use	use	VERB
fumecheng-4407	117	5	the	the	DET
fumecheng-4407	117	6	fft	fft	NOUN
fumecheng-4407	117	7	for	for	ADP
fumecheng-4407	117	8	the	the	DET
fumecheng-4407	117	9	operation	operation	NOUN
fumecheng-4407	117	10	,	,	PUNCT
fumecheng-4407	117	11	each	each	DET
fumecheng-4407	117	12	active	active	ADJ
fumecheng-4407	117	13	panel	panel	NOUN
fumecheng-4407	117	14	(	(	PUNCT
fumecheng-4407	117	15	marked	mark	VERB
fumecheng-4407	117	16	gray	gray	ADJ
fumecheng-4407	117	17	in	in	ADP
fumecheng-4407	117	18	fig	fig	NOUN
fumecheng-4407	117	19	.	.	PUNCT
fumecheng-4407	117	20	5	5	NUM
fumecheng-4407	117	21	)	)	PUNCT
fumecheng-4407	117	22	is	be	AUX
fumecheng-4407	117	23	loaded	load	VERB
fumecheng-4407	117	24	with	with	ADP
fumecheng-4407	117	25	the	the	DET
fumecheng-4407	117	26	potential	potential	NOUN
fumecheng-4407	117	27	and	and	CCONJ
fumecheng-4407	117	28	flow	flow	NOUN
fumecheng-4407	117	29	of	of	ADP
fumecheng-4407	117	30	the	the	DET
fumecheng-4407	117	31	constant	constant	ADJ
fumecheng-4407	117	32	boundary	boundary	ADJ
fumecheng-4407	117	33	element	element	NOUN
fumecheng-4407	117	34	which	which	PRON
fumecheng-4407	117	35	cuts	cut	VERB
fumecheng-4407	117	36	through	through	ADP
fumecheng-4407	117	37	it	it	PRON
fumecheng-4407	117	38	.	.	PUNCT
fumecheng-4407	118	1	we	we	PRON
fumecheng-4407	118	2	can	can	AUX
fumecheng-4407	118	3	then	then	ADV
fumecheng-4407	118	4	perform	perform	VERB
fumecheng-4407	118	5	the	the	DET
fumecheng-4407	118	6	convolutions	convolution	NOUN
fumecheng-4407	118	7	with	with	ADP
fumecheng-4407	118	8	the	the	DET
fumecheng-4407	118	9	kernel	kernel	PROPN
fumecheng-4407	118	10	functions	function	NOUN
fumecheng-4407	118	11	from	from	ADP
fumecheng-4407	118	12	eq	eq	PROPN
fumecheng-4407	118	13	.	.	PUNCT
fumecheng-4407	119	1	(	(	PUNCT
fumecheng-4407	119	2	12	12	NUM
fumecheng-4407	119	3	)	)	PUNCT
fumecheng-4407	119	4	using	use	VERB
fumecheng-4407	119	5	the	the	DET
fumecheng-4407	119	6	fft	fft	NOUN
fumecheng-4407	119	7	in	in	ADP
fumecheng-4407	119	8	the	the	DET
fumecheng-4407	119	9	same	same	ADJ
fumecheng-4407	119	10	way	way	NOUN
fumecheng-4407	119	11	as	as	ADP
fumecheng-4407	119	12	in	in	ADP
fumecheng-4407	119	13	[	[	X
fumecheng-4407	119	14	15	15	NUM
fumecheng-4407	119	15	]	]	PUNCT
fumecheng-4407	119	16	.	.	PUNCT
fumecheng-4407	120	1	in	in	ADP
fumecheng-4407	120	2	order	order	NOUN
fumecheng-4407	120	3	to	to	PART
fumecheng-4407	120	4	test	test	VERB
fumecheng-4407	120	5	the	the	DET
fumecheng-4407	120	6	method	method	NOUN
fumecheng-4407	120	7	,	,	PUNCT
fumecheng-4407	120	8	we	we	PRON
fumecheng-4407	120	9	use	use	VERB
fumecheng-4407	120	10	a	a	DET
fumecheng-4407	120	11	simple	simple	ADJ
fumecheng-4407	120	12	analytical	analytical	ADJ
fumecheng-4407	120	13	solution	solution	NOUN
fumecheng-4407	120	14	for	for	ADP
fumecheng-4407	120	15	the	the	DET
fumecheng-4407	120	16	laplace	laplace	NOUN
fumecheng-4407	120	17	equation	equation	NOUN
fumecheng-4407	120	18	.	.	PUNCT
fumecheng-4407	121	1	here	here	ADV
fumecheng-4407	121	2	,	,	PUNCT
fumecheng-4407	121	3	we	we	PRON
fumecheng-4407	121	4	use	use	VERB
fumecheng-4407	121	5	the	the	DET
fumecheng-4407	121	6	exemplary	exemplary	ADJ
fumecheng-4407	121	7	solution	solution	NOUN
fumecheng-4407	121	8	a	a	DET
fumecheng-4407	121	9	1	1	NUM
fumecheng-4407	121	10	/	/	SYM
fumecheng-4407	121	11	2u	2u	NOUN
fumecheng-4407	121	12	x	x	PROPN
fumecheng-4407	121	13			PROPN
fumecheng-4407	121	14	(	(	PUNCT
fumecheng-4407	121	15	13	13	NUM
fumecheng-4407	121	16	)	)	PUNCT
fumecheng-4407	121	17	of	of	ADP
fumecheng-4407	121	18	eq	eq	PROPN
fumecheng-4407	121	19	.	.	PUNCT
fumecheng-4407	122	1	(	(	PUNCT
fumecheng-4407	122	2	1	1	NUM
fumecheng-4407	122	3	)	)	PUNCT
fumecheng-4407	122	4	.	.	PUNCT
fumecheng-4407	123	1	with	with	ADP
fumecheng-4407	123	2	the	the	DET
fumecheng-4407	123	3	known	know	VERB
fumecheng-4407	123	4	geometry	geometry	NOUN
fumecheng-4407	123	5	of	of	ADP
fumecheng-4407	123	6	the	the	DET
fumecheng-4407	123	7	chosen	choose	VERB
fumecheng-4407	123	8	shape	shape	NOUN
fumecheng-4407	123	9	and	and	CCONJ
fumecheng-4407	123	10	eq	eq	NOUN
fumecheng-4407	123	11	.	.	PUNCT
fumecheng-4407	124	1	(	(	PUNCT
fumecheng-4407	124	2	13	13	NUM
fumecheng-4407	124	3	)	)	PUNCT
fumecheng-4407	124	4	,	,	PUNCT
fumecheng-4407	124	5	we	we	PRON
fumecheng-4407	124	6	then	then	ADV
fumecheng-4407	124	7	have	have	VERB
fumecheng-4407	124	8	the	the	DET
fumecheng-4407	124	9	exemplary	exemplary	ADJ
fumecheng-4407	124	10	boundary	boundary	ADJ
fumecheng-4407	124	11	values	value	NOUN
fumecheng-4407	124	12	for	for	ADP
fumecheng-4407	124	13	the	the	DET
fumecheng-4407	124	14	potential	potential	NOUN
fumecheng-4407	124	15	and	and	CCONJ
fumecheng-4407	124	16	the	the	DET
fumecheng-4407	124	17	flow	flow	NOUN
fumecheng-4407	124	18	.	.	PUNCT
fumecheng-4407	125	1	the	the	DET
fumecheng-4407	125	2	boundary	boundary	ADJ
fumecheng-4407	125	3	integrals	integral	NOUN
fumecheng-4407	125	4	(	(	PUNCT
fumecheng-4407	125	5	12	12	NUM
fumecheng-4407	125	6	)	)	PUNCT
fumecheng-4407	125	7	are	be	AUX
fumecheng-4407	125	8	now	now	ADV
fumecheng-4407	125	9	obtained	obtain	VERB
fumecheng-4407	125	10	with	with	ADP
fumecheng-4407	125	11	the	the	DET
fumecheng-4407	125	12	fft	fft	NOUN
fumecheng-4407	125	13	and	and	CCONJ
fumecheng-4407	125	14	the	the	DET
fumecheng-4407	125	15	resulting	result	VERB
fumecheng-4407	125	16	numerical	numerical	ADJ
fumecheng-4407	125	17	values	value	NOUN
fumecheng-4407	125	18	ui	ui	INTJ
fumecheng-4407	125	19	of	of	ADP
fumecheng-4407	125	20	the	the	DET
fumecheng-4407	125	21	potential	potential	NOUN
fumecheng-4407	125	22	are	be	AUX
fumecheng-4407	125	23	compared	compare	VERB
fumecheng-4407	125	24	with	with	ADP
fumecheng-4407	125	25	the	the	DET
fumecheng-4407	125	26	analytical	analytical	ADJ
fumecheng-4407	125	27	solution	solution	NOUN
fumecheng-4407	125	28	ua	ua	PROPN
fumecheng-4407	125	29	on	on	ADP
fumecheng-4407	125	30	the	the	DET
fumecheng-4407	125	31	boundary	boundary	NOUN
fumecheng-4407	125	32	.	.	PUNCT
fumecheng-4407	126	1	the	the	DET
fumecheng-4407	126	2	results	result	NOUN
fumecheng-4407	126	3	are	be	AUX
fumecheng-4407	126	4	displayed	display	VERB
fumecheng-4407	126	5	in	in	ADP
fumecheng-4407	126	6	the	the	DET
fumecheng-4407	126	7	first	first	ADJ
fumecheng-4407	126	8	graph	graph	NOUN
fumecheng-4407	126	9	in	in	ADP
fumecheng-4407	126	10	fig	fig	NOUN
fumecheng-4407	126	11	.	.	PUNCT
fumecheng-4407	127	1	9	9	X
fumecheng-4407	127	2	.	.	X
fumecheng-4407	128	1	it	it	PRON
fumecheng-4407	128	2	becomes	become	VERB
fumecheng-4407	128	3	apparent	apparent	ADJ
fumecheng-4407	128	4	that	that	SCONJ
fumecheng-4407	128	5	this	this	DET
fumecheng-4407	128	6	first	first	ADJ
fumecheng-4407	128	7	technique	technique	NOUN
fumecheng-4407	128	8	of	of	ADP
fumecheng-4407	128	9	loading	loading	NOUN
fumecheng-4407	128	10	only	only	ADV
fumecheng-4407	128	11	the	the	DET
fumecheng-4407	128	12	nearest	near	ADJ
fumecheng-4407	128	13	boundary	boundary	ADJ
fumecheng-4407	128	14	panels	panel	NOUN
fumecheng-4407	128	15	and	and	CCONJ
fumecheng-4407	128	16	taking	take	VERB
fumecheng-4407	128	17	the	the	DET
fumecheng-4407	128	18	results	result	NOUN
fumecheng-4407	128	19	directly	directly	ADV
fumecheng-4407	128	20	from	from	ADP
fumecheng-4407	128	21	the	the	DET
fumecheng-4407	128	22	convolution	convolution	NOUN
fumecheng-4407	128	23	delivers	deliver	VERB
fumecheng-4407	128	24	only	only	ADV
fumecheng-4407	128	25	poor	poor	ADJ
fumecheng-4407	128	26	results	result	NOUN
fumecheng-4407	128	27	.	.	PUNCT
fumecheng-4407	129	1	the	the	DET
fumecheng-4407	129	2	numerical	numerical	ADJ
fumecheng-4407	129	3	values	value	NOUN
fumecheng-4407	129	4	oscillate	oscillate	VERB
fumecheng-4407	129	5	with	with	ADP
fumecheng-4407	129	6	a	a	DET
fumecheng-4407	129	7	great	great	ADJ
fumecheng-4407	129	8	error	error	NOUN
fumecheng-4407	129	9	around	around	ADP
fumecheng-4407	129	10	the	the	DET
fumecheng-4407	129	11	analytical	analytical	ADJ
fumecheng-4407	129	12	solution	solution	NOUN
fumecheng-4407	129	13	.	.	PUNCT
fumecheng-4407	130	1	also	also	ADV
fumecheng-4407	130	2	,	,	PUNCT
fumecheng-4407	130	3	it	it	PRON
fumecheng-4407	130	4	shall	shall	AUX
fumecheng-4407	130	5	be	be	AUX
fumecheng-4407	130	6	mentioned	mention	VERB
fumecheng-4407	130	7	that	that	SCONJ
fumecheng-4407	130	8	for	for	ADP
fumecheng-4407	130	9	a	a	DET
fumecheng-4407	130	10	finer	fine	ADJ
fumecheng-4407	130	11	resolution	resolution	NOUN
fumecheng-4407	130	12	the	the	DET
fumecheng-4407	130	13	numerical	numerical	ADJ
fumecheng-4407	130	14	values	value	NOUN
fumecheng-4407	130	15	on	on	ADP
fumecheng-4407	130	16	the	the	DET
fumecheng-4407	130	17	boundary	boundary	NOUN
fumecheng-4407	130	18	obtained	obtain	VERB
fumecheng-4407	130	19	with	with	ADP
fumecheng-4407	130	20	this	this	DET
fumecheng-4407	130	21	first	first	ADJ
fumecheng-4407	130	22	method	method	NOUN
fumecheng-4407	130	23	do	do	AUX
fumecheng-4407	130	24	not	not	PART
fumecheng-4407	130	25	converge	converge	VERB
fumecheng-4407	130	26	to	to	ADP
fumecheng-4407	130	27	the	the	DET
fumecheng-4407	130	28	analytical	analytical	ADJ
fumecheng-4407	130	29	solution	solution	NOUN
fumecheng-4407	130	30	.	.	PUNCT
fumecheng-4407	131	1	technique	technique	NOUN
fumecheng-4407	131	2	ii	ii	PROPN
fumecheng-4407	131	3	:	:	PUNCT
fumecheng-4407	131	4	fft	fft	PROPN
fumecheng-4407	131	5	,	,	PUNCT
fumecheng-4407	131	6	weighted	weight	VERB
fumecheng-4407	131	7	nearest	near	ADJ
fumecheng-4407	131	8	-	-	PUNCT
fumecheng-4407	131	9	panel	panel	NOUN
fumecheng-4407	131	10	boundary	boundary	NOUN
fumecheng-4407	131	11	in	in	ADP
fumecheng-4407	131	12	order	order	NOUN
fumecheng-4407	131	13	to	to	PART
fumecheng-4407	131	14	obtain	obtain	VERB
fumecheng-4407	131	15	more	more	ADV
fumecheng-4407	131	16	accurate	accurate	ADJ
fumecheng-4407	131	17	results	result	NOUN
fumecheng-4407	131	18	than	than	ADP
fumecheng-4407	131	19	with	with	ADP
fumecheng-4407	131	20	technique	technique	NOUN
fumecheng-4407	131	21	i	i	PRON
fumecheng-4407	131	22	,	,	PUNCT
fumecheng-4407	131	23	we	we	PRON
fumecheng-4407	131	24	distribute	distribute	VERB
fumecheng-4407	131	25	the	the	DET
fumecheng-4407	131	26	potential	potential	NOUN
fumecheng-4407	131	27	and	and	CCONJ
fumecheng-4407	131	28	flow	flow	NOUN
fumecheng-4407	131	29	of	of	ADP
fumecheng-4407	131	30	one	one	NUM
fumecheng-4407	131	31	boundary	boundary	ADJ
fumecheng-4407	131	32	element	element	NOUN
fumecheng-4407	131	33	not	not	PART
fumecheng-4407	131	34	only	only	ADV
fumecheng-4407	131	35	to	to	ADP
fumecheng-4407	131	36	one	one	NUM
fumecheng-4407	131	37	panel	panel	NOUN
fumecheng-4407	131	38	but	but	CCONJ
fumecheng-4407	131	39	over	over	ADP
fumecheng-4407	131	40	three	three	NUM
fumecheng-4407	131	41	panels	panel	NOUN
fumecheng-4407	131	42	which	which	PRON
fumecheng-4407	131	43	are	be	AUX
fumecheng-4407	131	44	weighted	weight	VERB
fumecheng-4407	131	45	so	so	SCONJ
fumecheng-4407	131	46	that	that	SCONJ
fumecheng-4407	131	47	their	their	PRON
fumecheng-4407	131	48	center	center	NOUN
fumecheng-4407	131	49	corresponds	correspond	VERB
fumecheng-4407	131	50	precisely	precisely	ADV
fumecheng-4407	131	51	to	to	ADP
fumecheng-4407	131	52	the	the	DET
fumecheng-4407	131	53	midpoint	midpoint	NOUN
fumecheng-4407	131	54	of	of	ADP
fumecheng-4407	131	55	the	the	DET
fumecheng-4407	131	56	boundary	boundary	ADJ
fumecheng-4407	131	57	element	element	NOUN
fumecheng-4407	131	58	.	.	PUNCT
fumecheng-4407	132	1	the	the	DET
fumecheng-4407	132	2	resulting	result	VERB
fumecheng-4407	132	3	active	active	ADJ
fumecheng-4407	132	4	panels	panel	NOUN
fumecheng-4407	132	5	are	be	AUX
fumecheng-4407	132	6	shown	show	VERB
fumecheng-4407	132	7	in	in	ADP
fumecheng-4407	132	8	fig	fig	NOUN
fumecheng-4407	132	9	.	.	PUNCT
fumecheng-4407	133	1	6	6	NUM
fumecheng-4407	133	2	.	.	X
fumecheng-4407	134	1	to	to	ADP
fumecheng-4407	134	2	each	each	DET
fumecheng-4407	134	3	main	main	ADJ
fumecheng-4407	134	4	panel	panel	NOUN
fumecheng-4407	134	5	which	which	PRON
fumecheng-4407	134	6	is	be	AUX
fumecheng-4407	134	7	directly	directly	ADV
fumecheng-4407	134	8	cut	cut	VERB
fumecheng-4407	134	9	by	by	ADP
fumecheng-4407	134	10	the	the	DET
fumecheng-4407	134	11	boundary	boundary	NOUN
fumecheng-4407	134	12	(	(	PUNCT
fumecheng-4407	134	13	marked	mark	VERB
fumecheng-4407	134	14	with	with	ADP
fumecheng-4407	134	15	a	a	DET
fumecheng-4407	134	16	square	square	NOUN
fumecheng-4407	134	17	)	)	PUNCT
fumecheng-4407	134	18	,	,	PUNCT
fumecheng-4407	134	19	there	there	PRON
fumecheng-4407	134	20	is	be	VERB
fumecheng-4407	134	21	one	one	NUM
fumecheng-4407	134	22	horizontal	horizontal	ADJ
fumecheng-4407	134	23	412	412	NUM
fumecheng-4407	134	24	j.	j.	PROPN
fumecheng-4407	134	25	benad	benad	PROPN
fumecheng-4407	134	26	neighbor	neighbor	NOUN
fumecheng-4407	134	27	(	(	PUNCT
fumecheng-4407	134	28	marked	mark	VERB
fumecheng-4407	134	29	with	with	ADP
fumecheng-4407	134	30	a	a	DET
fumecheng-4407	134	31	cross	cross	NOUN
fumecheng-4407	134	32	)	)	PUNCT
fumecheng-4407	134	33	and	and	CCONJ
fumecheng-4407	134	34	one	one	NUM
fumecheng-4407	134	35	vertical	vertical	ADJ
fumecheng-4407	134	36	neighbor	neighbor	NOUN
fumecheng-4407	134	37	(	(	PUNCT
fumecheng-4407	134	38	marked	mark	VERB
fumecheng-4407	134	39	with	with	ADP
fumecheng-4407	134	40	a	a	DET
fumecheng-4407	134	41	circle	circle	NOUN
fumecheng-4407	134	42	)	)	PUNCT
fumecheng-4407	134	43	.	.	PUNCT
fumecheng-4407	135	1	depending	depend	VERB
fumecheng-4407	135	2	on	on	ADP
fumecheng-4407	135	3	the	the	DET
fumecheng-4407	135	4	position	position	NOUN
fumecheng-4407	135	5	of	of	ADP
fumecheng-4407	135	6	the	the	DET
fumecheng-4407	135	7	panel	panel	NOUN
fumecheng-4407	135	8	midpoint	midpoint	NOUN
fumecheng-4407	135	9	we	we	PRON
fumecheng-4407	135	10	must	must	AUX
fumecheng-4407	135	11	choose	choose	VERB
fumecheng-4407	135	12	either	either	CCONJ
fumecheng-4407	135	13	the	the	DET
fumecheng-4407	135	14	left	left	NOUN
fumecheng-4407	135	15	or	or	CCONJ
fumecheng-4407	135	16	the	the	DET
fumecheng-4407	135	17	right	right	ADJ
fumecheng-4407	135	18	neighbor	neighbor	NOUN
fumecheng-4407	135	19	for	for	ADP
fumecheng-4407	135	20	the	the	DET
fumecheng-4407	135	21	additional	additional	ADJ
fumecheng-4407	135	22	horizontal	horizontal	ADJ
fumecheng-4407	135	23	panel	panel	NOUN
fumecheng-4407	135	24	,	,	PUNCT
fumecheng-4407	135	25	and	and	CCONJ
fumecheng-4407	135	26	either	either	CCONJ
fumecheng-4407	135	27	the	the	DET
fumecheng-4407	135	28	upper	upper	ADJ
fumecheng-4407	135	29	or	or	CCONJ
fumecheng-4407	135	30	the	the	DET
fumecheng-4407	135	31	lower	low	ADJ
fumecheng-4407	135	32	neighbor	neighbor	NOUN
fumecheng-4407	135	33	for	for	ADP
fumecheng-4407	135	34	the	the	DET
fumecheng-4407	135	35	vertical	vertical	ADJ
fumecheng-4407	135	36	panel	panel	NOUN
fumecheng-4407	135	37	,	,	PUNCT
fumecheng-4407	135	38	so	so	SCONJ
fumecheng-4407	135	39	that	that	SCONJ
fumecheng-4407	135	40	by	by	ADP
fumecheng-4407	135	41	weighing	weigh	VERB
fumecheng-4407	135	42	the	the	DET
fumecheng-4407	135	43	elements	element	NOUN
fumecheng-4407	135	44	their	their	PRON
fumecheng-4407	135	45	center	center	NOUN
fumecheng-4407	135	46	can	can	AUX
fumecheng-4407	135	47	lie	lie	VERB
fumecheng-4407	135	48	directly	directly	ADV
fumecheng-4407	135	49	at	at	ADP
fumecheng-4407	135	50	the	the	DET
fumecheng-4407	135	51	midpoint	midpoint	NOUN
fumecheng-4407	135	52	of	of	ADP
fumecheng-4407	135	53	the	the	DET
fumecheng-4407	135	54	boundary	boundary	ADJ
fumecheng-4407	135	55	element	element	NOUN
fumecheng-4407	135	56	.	.	PUNCT
fumecheng-4407	136	1	fig	fig	NOUN
fumecheng-4407	136	2	.	.	PUNCT
fumecheng-4407	137	1	6	6	NUM
fumecheng-4407	138	1	the	the	DET
fumecheng-4407	138	2	boundary	boundary	ADJ
fumecheng-4407	138	3	elements	element	NOUN
fumecheng-4407	138	4	(	(	PUNCT
fumecheng-4407	138	5	solid	solid	ADJ
fumecheng-4407	138	6	black	black	ADJ
fumecheng-4407	138	7	lines	line	NOUN
fumecheng-4407	138	8	)	)	PUNCT
fumecheng-4407	138	9	of	of	ADP
fumecheng-4407	138	10	the	the	DET
fumecheng-4407	138	11	chosen	choose	VERB
fumecheng-4407	138	12	shape	shape	NOUN
fumecheng-4407	138	13	shown	show	VERB
fumecheng-4407	138	14	together	together	ADV
fumecheng-4407	138	15	with	with	ADP
fumecheng-4407	138	16	their	their	PRON
fumecheng-4407	138	17	active	active	ADJ
fumecheng-4407	138	18	panels	panel	NOUN
fumecheng-4407	138	19	(	(	PUNCT
fumecheng-4407	138	20	gray	gray	ADJ
fumecheng-4407	138	21	)	)	PUNCT
fumecheng-4407	138	22	from	from	ADP
fumecheng-4407	138	23	technique	technique	NOUN
fumecheng-4407	138	24	ii	ii	PROPN
fumecheng-4407	138	25	:	:	PUNCT
fumecheng-4407	138	26	to	to	ADP
fumecheng-4407	138	27	each	each	DET
fumecheng-4407	138	28	main	main	ADJ
fumecheng-4407	138	29	panel	panel	NOUN
fumecheng-4407	138	30	which	which	PRON
fumecheng-4407	138	31	is	be	AUX
fumecheng-4407	138	32	directly	directly	ADV
fumecheng-4407	138	33	cut	cut	VERB
fumecheng-4407	138	34	by	by	ADP
fumecheng-4407	138	35	the	the	DET
fumecheng-4407	138	36	boundary	boundary	NOUN
fumecheng-4407	138	37	(	(	PUNCT
fumecheng-4407	138	38	marked	mark	VERB
fumecheng-4407	138	39	with	with	ADP
fumecheng-4407	138	40	a	a	DET
fumecheng-4407	138	41	square	square	NOUN
fumecheng-4407	138	42	)	)	PUNCT
fumecheng-4407	138	43	,	,	PUNCT
fumecheng-4407	138	44	there	there	PRON
fumecheng-4407	138	45	is	be	VERB
fumecheng-4407	138	46	one	one	NUM
fumecheng-4407	138	47	horizontal	horizontal	ADJ
fumecheng-4407	138	48	neighbor	neighbor	NOUN
fumecheng-4407	138	49	(	(	PUNCT
fumecheng-4407	138	50	marked	mark	VERB
fumecheng-4407	138	51	with	with	ADP
fumecheng-4407	138	52	a	a	DET
fumecheng-4407	138	53	cross	cross	NOUN
fumecheng-4407	138	54	)	)	PUNCT
fumecheng-4407	138	55	and	and	CCONJ
fumecheng-4407	138	56	one	one	NUM
fumecheng-4407	138	57	vertical	vertical	ADJ
fumecheng-4407	138	58	neighbor	neighbor	NOUN
fumecheng-4407	138	59	(	(	PUNCT
fumecheng-4407	138	60	marked	mark	VERB
fumecheng-4407	138	61	with	with	ADP
fumecheng-4407	138	62	a	a	DET
fumecheng-4407	138	63	circle	circle	NOUN
fumecheng-4407	138	64	)	)	PUNCT
fumecheng-4407	138	65	.	.	PUNCT
fumecheng-4407	139	1	the	the	DET
fumecheng-4407	139	2	left	left	NOUN
fumecheng-4407	139	3	or	or	CCONJ
fumecheng-4407	139	4	the	the	DET
fumecheng-4407	139	5	right	right	ADJ
fumecheng-4407	139	6	neighbor	neighbor	NOUN
fumecheng-4407	139	7	for	for	ADP
fumecheng-4407	139	8	the	the	DET
fumecheng-4407	139	9	additional	additional	ADJ
fumecheng-4407	139	10	horizontal	horizontal	ADJ
fumecheng-4407	139	11	panel	panel	NOUN
fumecheng-4407	139	12	and	and	CCONJ
fumecheng-4407	139	13	the	the	DET
fumecheng-4407	139	14	upper	upper	ADJ
fumecheng-4407	139	15	or	or	CCONJ
fumecheng-4407	139	16	the	the	DET
fumecheng-4407	139	17	lower	low	ADJ
fumecheng-4407	139	18	neighbor	neighbor	NOUN
fumecheng-4407	139	19	for	for	ADP
fumecheng-4407	139	20	the	the	DET
fumecheng-4407	139	21	additional	additional	ADJ
fumecheng-4407	139	22	vertical	vertical	ADJ
fumecheng-4407	139	23	panel	panel	NOUN
fumecheng-4407	139	24	is	be	AUX
fumecheng-4407	139	25	determined	determine	VERB
fumecheng-4407	139	26	depending	depend	VERB
fumecheng-4407	139	27	on	on	ADP
fumecheng-4407	139	28	which	which	PRON
fumecheng-4407	139	29	one	one	NOUN
fumecheng-4407	139	30	is	be	AUX
fumecheng-4407	139	31	closest	close	ADJ
fumecheng-4407	139	32	to	to	ADP
fumecheng-4407	139	33	the	the	DET
fumecheng-4407	139	34	midpoint	midpoint	NOUN
fumecheng-4407	139	35	of	of	ADP
fumecheng-4407	139	36	the	the	DET
fumecheng-4407	139	37	boundary	boundary	ADJ
fumecheng-4407	139	38	element	element	NOUN
fumecheng-4407	139	39	.	.	PUNCT
fumecheng-4407	140	1	in	in	ADP
fumecheng-4407	140	2	the	the	DET
fumecheng-4407	140	3	left	left	ADJ
fumecheng-4407	140	4	graph	graph	NOUN
fumecheng-4407	140	5	the	the	DET
fumecheng-4407	140	6	grid	grid	NOUN
fumecheng-4407	140	7	has	have	VERB
fumecheng-4407	140	8	n	n	NOUN
fumecheng-4407	140	9	=	=	SYM
fumecheng-4407	140	10	10	10	NUM
fumecheng-4407	140	11	panels	panel	NOUN
fumecheng-4407	140	12	on	on	ADP
fumecheng-4407	140	13	each	each	DET
fumecheng-4407	140	14	side	side	NOUN
fumecheng-4407	140	15	.	.	PUNCT
fumecheng-4407	141	1	the	the	DET
fumecheng-4407	141	2	right	right	ADJ
fumecheng-4407	141	3	graph	graph	NOUN
fumecheng-4407	141	4	displays	display	VERB
fumecheng-4407	141	5	a	a	DET
fumecheng-4407	141	6	finer	fine	ADJ
fumecheng-4407	141	7	resolution	resolution	NOUN
fumecheng-4407	141	8	with	with	ADP
fumecheng-4407	141	9	n	n	NOUN
fumecheng-4407	141	10	=	=	SYM
fumecheng-4407	141	11	56	56	NUM
fumecheng-4407	141	12	after	after	ADP
fumecheng-4407	141	13	the	the	DET
fumecheng-4407	141	14	potential	potential	NOUN
fumecheng-4407	141	15	and	and	CCONJ
fumecheng-4407	141	16	the	the	DET
fumecheng-4407	141	17	flow	flow	NOUN
fumecheng-4407	141	18	have	have	AUX
fumecheng-4407	141	19	been	be	AUX
fumecheng-4407	141	20	distributed	distribute	VERB
fumecheng-4407	141	21	to	to	ADP
fumecheng-4407	141	22	the	the	DET
fumecheng-4407	141	23	active	active	ADJ
fumecheng-4407	141	24	panels	panel	NOUN
fumecheng-4407	141	25	,	,	PUNCT
fumecheng-4407	141	26	we	we	PRON
fumecheng-4407	141	27	can	can	AUX
fumecheng-4407	141	28	proceed	proceed	VERB
fumecheng-4407	141	29	just	just	ADV
fumecheng-4407	141	30	as	as	ADP
fumecheng-4407	141	31	in	in	ADP
fumecheng-4407	141	32	technique	technique	NOUN
fumecheng-4407	141	33	i.	i.	NOUN
fumecheng-4407	141	34	we	we	PRON
fumecheng-4407	141	35	perform	perform	VERB
fumecheng-4407	141	36	the	the	DET
fumecheng-4407	141	37	convolutions	convolution	NOUN
fumecheng-4407	141	38	with	with	ADP
fumecheng-4407	141	39	the	the	DET
fumecheng-4407	141	40	kernel	kernel	PROPN
fumecheng-4407	141	41	functions	function	NOUN
fumecheng-4407	141	42	from	from	ADP
fumecheng-4407	141	43	(	(	PUNCT
fumecheng-4407	141	44	12	12	NUM
fumecheng-4407	141	45	)	)	PUNCT
fumecheng-4407	141	46	with	with	ADP
fumecheng-4407	141	47	the	the	DET
fumecheng-4407	141	48	fft	fft	PROPN
fumecheng-4407	141	49	and	and	CCONJ
fumecheng-4407	141	50	resulting	result	VERB
fumecheng-4407	141	51	numerical	numerical	ADJ
fumecheng-4407	141	52	values	value	NOUN
fumecheng-4407	141	53	ui	ui	INTJ
fumecheng-4407	141	54	of	of	ADP
fumecheng-4407	141	55	the	the	DET
fumecheng-4407	141	56	potential	potential	NOUN
fumecheng-4407	141	57	are	be	AUX
fumecheng-4407	141	58	compared	compare	VERB
fumecheng-4407	141	59	with	with	ADP
fumecheng-4407	141	60	analytical	analytical	ADJ
fumecheng-4407	141	61	solution	solution	NOUN
fumecheng-4407	141	62	ua	ua	PROPN
fumecheng-4407	141	63	on	on	ADP
fumecheng-4407	141	64	the	the	DET
fumecheng-4407	141	65	boundary	boundary	NOUN
fumecheng-4407	141	66	.	.	PUNCT
fumecheng-4407	142	1	the	the	DET
fumecheng-4407	142	2	results	result	NOUN
fumecheng-4407	142	3	can	can	AUX
fumecheng-4407	142	4	be	be	AUX
fumecheng-4407	142	5	seen	see	VERB
fumecheng-4407	142	6	in	in	ADP
fumecheng-4407	142	7	the	the	DET
fumecheng-4407	142	8	second	second	ADJ
fumecheng-4407	142	9	diagram	diagram	NOUN
fumecheng-4407	142	10	in	in	ADP
fumecheng-4407	142	11	fig	fig	NOUN
fumecheng-4407	142	12	.	.	PUNCT
fumecheng-4407	143	1	8	8	NUM
fumecheng-4407	143	2	.	.	X
fumecheng-4407	144	1	there	there	PRON
fumecheng-4407	144	2	is	be	VERB
fumecheng-4407	144	3	a	a	DET
fumecheng-4407	144	4	definite	definite	ADJ
fumecheng-4407	144	5	improvement	improvement	NOUN
fumecheng-4407	144	6	when	when	SCONJ
fumecheng-4407	144	7	compared	compare	VERB
fumecheng-4407	144	8	to	to	ADP
fumecheng-4407	144	9	the	the	DET
fumecheng-4407	144	10	first	first	ADJ
fumecheng-4407	144	11	technique	technique	NOUN
fumecheng-4407	144	12	;	;	PUNCT
fumecheng-4407	144	13	however	however	ADV
fumecheng-4407	144	14	,	,	PUNCT
fumecheng-4407	144	15	there	there	PRON
fumecheng-4407	144	16	is	be	VERB
fumecheng-4407	144	17	still	still	ADV
fumecheng-4407	144	18	a	a	DET
fumecheng-4407	144	19	high	high	ADJ
fumecheng-4407	144	20	oscillating	oscillating	NOUN
fumecheng-4407	144	21	error	error	NOUN
fumecheng-4407	144	22	.	.	PUNCT
fumecheng-4407	145	1	technique	technique	NOUN
fumecheng-4407	145	2	iii	iii	PROPN
fumecheng-4407	145	3	:	:	PUNCT
fumecheng-4407	145	4	fft	fft	NOUN
fumecheng-4407	145	5	,	,	PUNCT
fumecheng-4407	145	6	direct	direct	ADJ
fumecheng-4407	145	7	center	center	NOUN
fumecheng-4407	145	8	integral	integral	ADJ
fumecheng-4407	145	9	,	,	PUNCT
fumecheng-4407	145	10	weighted	weight	VERB
fumecheng-4407	145	11	nearest	near	ADJ
fumecheng-4407	145	12	-	-	PUNCT
fumecheng-4407	145	13	panel	panel	NOUN
fumecheng-4407	145	14	boundary	boundary	NOUN
fumecheng-4407	145	15	in	in	ADP
fumecheng-4407	145	16	order	order	NOUN
fumecheng-4407	145	17	to	to	PART
fumecheng-4407	145	18	further	far	ADV
fumecheng-4407	145	19	improve	improve	VERB
fumecheng-4407	145	20	the	the	DET
fumecheng-4407	145	21	results	result	NOUN
fumecheng-4407	145	22	,	,	PUNCT
fumecheng-4407	145	23	we	we	PRON
fumecheng-4407	145	24	now	now	ADV
fumecheng-4407	145	25	calculate	calculate	VERB
fumecheng-4407	145	26	the	the	DET
fumecheng-4407	145	27	boundary	boundary	ADJ
fumecheng-4407	145	28	integrals	integral	NOUN
fumecheng-4407	145	29	(	(	PUNCT
fumecheng-4407	145	30	12	12	NUM
fumecheng-4407	145	31	)	)	PUNCT
fumecheng-4407	145	32	directly	directly	ADV
fumecheng-4407	145	33	in	in	ADP
fumecheng-4407	145	34	a	a	DET
fumecheng-4407	145	35	region	region	NOUN
fumecheng-4407	145	36	close	close	ADJ
fumecheng-4407	145	37	to	to	ADP
fumecheng-4407	145	38	a	a	DET
fumecheng-4407	145	39	desired	desire	VERB
fumecheng-4407	145	40	boundary	boundary	ADJ
fumecheng-4407	145	41	value	value	NOUN
fumecheng-4407	145	42	(	(	PUNCT
fumecheng-4407	145	43	see	see	VERB
fumecheng-4407	145	44	fig	fig	NOUN
fumecheng-4407	145	45	.	.	PUNCT
fumecheng-4407	146	1	7	7	NUM
fumecheng-4407	146	2	)	)	PUNCT
fumecheng-4407	146	3	.	.	PUNCT
fumecheng-4407	147	1	outside	outside	ADP
fumecheng-4407	147	2	this	this	DET
fumecheng-4407	147	3	small	small	ADJ
fumecheng-4407	147	4	region	region	NOUN
fumecheng-4407	147	5	,	,	PUNCT
fumecheng-4407	147	6	we	we	PRON
fumecheng-4407	147	7	continue	continue	VERB
fumecheng-4407	147	8	using	use	VERB
fumecheng-4407	147	9	technique	technique	NOUN
fumecheng-4407	147	10	ii	ii	PROPN
fumecheng-4407	147	11	.	.	PUNCT
fumecheng-4407	148	1	efficient	efficient	ADJ
fumecheng-4407	148	2	calculation	calculation	NOUN
fumecheng-4407	148	3	of	of	ADP
fumecheng-4407	148	4	the	the	DET
fumecheng-4407	148	5	bem	bem	NOUN
fumecheng-4407	148	6	integrals	integral	NOUN
fumecheng-4407	148	7	on	on	ADP
fumecheng-4407	148	8	arbitrary	arbitrary	ADJ
fumecheng-4407	148	9	shapes	shape	NOUN
fumecheng-4407	148	10	with	with	ADP
fumecheng-4407	148	11	the	the	DET
fumecheng-4407	148	12	fft	fft	PROPN
fumecheng-4407	148	13	413	413	NUM
fumecheng-4407	148	14	fig	fig	NOUN
fumecheng-4407	148	15	.	.	PUNCT
fumecheng-4407	149	1	7	7	NUM
fumecheng-4407	149	2	exemplary	exemplary	ADJ
fumecheng-4407	149	3	midpoint	midpoint	NOUN
fumecheng-4407	149	4	of	of	ADP
fumecheng-4407	149	5	a	a	DET
fumecheng-4407	149	6	boundary	boundary	ADJ
fumecheng-4407	149	7	element	element	NOUN
fumecheng-4407	149	8	(	(	PUNCT
fumecheng-4407	149	9	cross	cross	NOUN
fumecheng-4407	149	10	)	)	PUNCT
fumecheng-4407	149	11	around	around	ADP
fumecheng-4407	149	12	which	which	PRON
fumecheng-4407	149	13	a	a	DET
fumecheng-4407	149	14	square	square	NOUN
fumecheng-4407	149	15	is	be	AUX
fumecheng-4407	149	16	placed	place	VERB
fumecheng-4407	149	17	in	in	ADP
fumecheng-4407	149	18	which	which	PRON
fumecheng-4407	149	19	the	the	DET
fumecheng-4407	149	20	integral	integral	ADJ
fumecheng-4407	149	21	is	be	AUX
fumecheng-4407	149	22	calculated	calculate	VERB
fumecheng-4407	149	23	directly	directly	ADV
fumecheng-4407	149	24	.	.	PUNCT
fumecheng-4407	150	1	the	the	DET
fumecheng-4407	150	2	grid	grid	NOUN
fumecheng-4407	150	3	has	have	VERB
fumecheng-4407	150	4	a	a	DET
fumecheng-4407	150	5	resolution	resolution	NOUN
fumecheng-4407	150	6	of	of	ADP
fumecheng-4407	150	7	n	n	NOUN
fumecheng-4407	150	8	=	=	SYM
fumecheng-4407	150	9	56	56	NUM
fumecheng-4407	150	10	panels	panel	NOUN
fumecheng-4407	150	11	on	on	ADP
fumecheng-4407	150	12	each	each	DET
fumecheng-4407	150	13	side	side	NOUN
fumecheng-4407	150	14	and	and	CCONJ
fumecheng-4407	150	15	the	the	DET
fumecheng-4407	150	16	small	small	ADJ
fumecheng-4407	150	17	square	square	NOUN
fumecheng-4407	150	18	has	have	VERB
fumecheng-4407	150	19	r	r	NOUN
fumecheng-4407	150	20	=	=	SYM
fumecheng-4407	150	21	7	7	NUM
fumecheng-4407	150	22	panels	panel	NOUN
fumecheng-4407	150	23	in	in	ADP
fumecheng-4407	150	24	the	the	DET
fumecheng-4407	150	25	horizontal	horizontal	ADJ
fumecheng-4407	150	26	and	and	CCONJ
fumecheng-4407	150	27	vertical	vertical	ADJ
fumecheng-4407	150	28	direction	direction	NOUN
fumecheng-4407	150	29	note	note	VERB
fumecheng-4407	150	30	that	that	SCONJ
fumecheng-4407	150	31	the	the	DET
fumecheng-4407	150	32	direct	direct	ADJ
fumecheng-4407	150	33	integration	integration	NOUN
fumecheng-4407	150	34	in	in	ADP
fumecheng-4407	150	35	a	a	DET
fumecheng-4407	150	36	small	small	ADJ
fumecheng-4407	150	37	region	region	NOUN
fumecheng-4407	150	38	around	around	ADP
fumecheng-4407	150	39	the	the	DET
fumecheng-4407	150	40	boundary	boundary	ADJ
fumecheng-4407	150	41	element	element	NOUN
fumecheng-4407	150	42	does	do	AUX
fumecheng-4407	150	43	not	not	PART
fumecheng-4407	150	44	increase	increase	VERB
fumecheng-4407	150	45	the	the	DET
fumecheng-4407	150	46	order	order	NOUN
fumecheng-4407	150	47	of	of	ADP
fumecheng-4407	150	48	the	the	DET
fumecheng-4407	150	49	computational	computational	ADJ
fumecheng-4407	150	50	complexity	complexity	NOUN
fumecheng-4407	150	51	of	of	ADP
fumecheng-4407	150	52	the	the	DET
fumecheng-4407	150	53	method	method	NOUN
fumecheng-4407	150	54	.	.	PUNCT
fumecheng-4407	151	1	however	however	ADV
fumecheng-4407	151	2	,	,	PUNCT
fumecheng-4407	151	3	the	the	DET
fumecheng-4407	151	4	accuracy	accuracy	NOUN
fumecheng-4407	151	5	is	be	AUX
fumecheng-4407	151	6	further	far	ADV
fumecheng-4407	151	7	improved	improve	VERB
fumecheng-4407	151	8	by	by	ADP
fumecheng-4407	151	9	the	the	DET
fumecheng-4407	151	10	technique	technique	NOUN
fumecheng-4407	151	11	as	as	SCONJ
fumecheng-4407	151	12	can	can	AUX
fumecheng-4407	151	13	be	be	AUX
fumecheng-4407	151	14	seen	see	VERB
fumecheng-4407	151	15	in	in	ADP
fumecheng-4407	151	16	the	the	DET
fumecheng-4407	151	17	third	third	ADJ
fumecheng-4407	151	18	graph	graph	NOUN
fumecheng-4407	151	19	in	in	ADP
fumecheng-4407	151	20	fig	fig	NOUN
fumecheng-4407	151	21	.	.	PUNCT
fumecheng-4407	152	1	8	8	NUM
fumecheng-4407	152	2	.	.	PUNCT
fumecheng-4407	153	1	here	here	ADV
fumecheng-4407	153	2	,	,	PUNCT
fumecheng-4407	153	3	a	a	DET
fumecheng-4407	153	4	small	small	ADJ
fumecheng-4407	153	5	square	square	NOUN
fumecheng-4407	153	6	with	with	ADP
fumecheng-4407	153	7	r	r	NOUN
fumecheng-4407	153	8	=	=	SYM
fumecheng-4407	153	9	7	7	NUM
fumecheng-4407	153	10	panels	panel	NOUN
fumecheng-4407	153	11	on	on	ADP
fumecheng-4407	153	12	each	each	DET
fumecheng-4407	153	13	side	side	NOUN
fumecheng-4407	153	14	is	be	AUX
fumecheng-4407	153	15	used	use	VERB
fumecheng-4407	153	16	.	.	PUNCT
fumecheng-4407	154	1	it	it	PRON
fumecheng-4407	154	2	shall	shall	AUX
fumecheng-4407	154	3	be	be	AUX
fumecheng-4407	154	4	mentioned	mention	VERB
fumecheng-4407	154	5	that	that	SCONJ
fumecheng-4407	154	6	for	for	ADP
fumecheng-4407	154	7	a	a	DET
fumecheng-4407	154	8	finer	fine	ADJ
fumecheng-4407	154	9	resolution	resolution	NOUN
fumecheng-4407	154	10	of	of	ADP
fumecheng-4407	154	11	the	the	DET
fumecheng-4407	154	12	grid	grid	NOUN
fumecheng-4407	154	13	the	the	DET
fumecheng-4407	154	14	numerical	numerical	ADJ
fumecheng-4407	154	15	values	value	NOUN
fumecheng-4407	154	16	converge	converge	VERB
fumecheng-4407	154	17	to	to	ADP
fumecheng-4407	154	18	the	the	DET
fumecheng-4407	154	19	analytical	analytical	ADJ
fumecheng-4407	154	20	solution	solution	NOUN
fumecheng-4407	154	21	.	.	PUNCT
fumecheng-4407	155	1	therein	therein	ADV
fumecheng-4407	155	2	,	,	PUNCT
fumecheng-4407	155	3	the	the	DET
fumecheng-4407	155	4	number	number	NOUN
fumecheng-4407	155	5	of	of	ADP
fumecheng-4407	155	6	panels	panel	NOUN
fumecheng-4407	155	7	r	r	VERB
fumecheng-4407	155	8	for	for	ADP
fumecheng-4407	155	9	the	the	DET
fumecheng-4407	155	10	direct	direct	ADJ
fumecheng-4407	155	11	integration	integration	NOUN
fumecheng-4407	155	12	does	do	AUX
fumecheng-4407	155	13	not	not	PART
fumecheng-4407	155	14	increase	increase	VERB
fumecheng-4407	155	15	when	when	SCONJ
fumecheng-4407	155	16	the	the	DET
fumecheng-4407	155	17	grid	grid	NOUN
fumecheng-4407	155	18	is	be	AUX
fumecheng-4407	155	19	refined	refine	VERB
fumecheng-4407	155	20	.	.	PUNCT
fumecheng-4407	156	1	technique	technique	NOUN
fumecheng-4407	156	2	iv	iv	NUM
fumecheng-4407	156	3	:	:	PUNCT
fumecheng-4407	156	4	fft	fft	NOUN
fumecheng-4407	156	5	,	,	PUNCT
fumecheng-4407	156	6	direct	direct	ADJ
fumecheng-4407	156	7	center	center	NOUN
fumecheng-4407	156	8	integral	integral	ADJ
fumecheng-4407	156	9	,	,	PUNCT
fumecheng-4407	156	10	weighted	weight	VERB
fumecheng-4407	156	11	nearest	near	ADJ
fumecheng-4407	156	12	-	-	PUNCT
fumecheng-4407	156	13	panel	panel	NOUN
fumecheng-4407	156	14	boundary	boundary	NOUN
fumecheng-4407	156	15	,	,	PUNCT
fumecheng-4407	156	16	interpolation	interpolation	NOUN
fumecheng-4407	156	17	the	the	DET
fumecheng-4407	156	18	raw	raw	ADJ
fumecheng-4407	156	19	data	datum	NOUN
fumecheng-4407	156	20	from	from	ADP
fumecheng-4407	156	21	technique	technique	NOUN
fumecheng-4407	156	22	iii	iii	NOUN
fumecheng-4407	156	23	can	can	AUX
fumecheng-4407	156	24	still	still	ADV
fumecheng-4407	156	25	be	be	AUX
fumecheng-4407	156	26	improved	improve	VERB
fumecheng-4407	156	27	.	.	PUNCT
fumecheng-4407	157	1	a	a	DET
fumecheng-4407	157	2	large	large	ADJ
fumecheng-4407	157	3	portion	portion	NOUN
fumecheng-4407	157	4	of	of	ADP
fumecheng-4407	157	5	the	the	DET
fumecheng-4407	157	6	error	error	NOUN
fumecheng-4407	157	7	which	which	PRON
fumecheng-4407	157	8	remains	remain	VERB
fumecheng-4407	157	9	is	be	AUX
fumecheng-4407	157	10	due	due	ADJ
fumecheng-4407	157	11	to	to	ADP
fumecheng-4407	157	12	the	the	DET
fumecheng-4407	157	13	alternating	alternate	VERB
fumecheng-4407	157	14	boundary	boundary	ADJ
fumecheng-4407	157	15	element	element	NOUN
fumecheng-4407	157	16	sizes	size	NOUN
fumecheng-4407	157	17	caused	cause	VERB
fumecheng-4407	157	18	by	by	ADP
fumecheng-4407	157	19	the	the	DET
fumecheng-4407	157	20	uniform	uniform	ADJ
fumecheng-4407	157	21	grid	grid	NOUN
fumecheng-4407	157	22	which	which	PRON
fumecheng-4407	157	23	cuts	cut	VERB
fumecheng-4407	157	24	through	through	ADP
fumecheng-4407	157	25	the	the	DET
fumecheng-4407	157	26	arbitrary	arbitrary	ADJ
fumecheng-4407	157	27	boundary	boundary	NOUN
fumecheng-4407	157	28	.	.	PUNCT
fumecheng-4407	158	1	thus	thus	ADV
fumecheng-4407	158	2	,	,	PUNCT
fumecheng-4407	158	3	the	the	DET
fumecheng-4407	158	4	data	data	NOUN
fumecheng-4407	158	5	is	be	AUX
fumecheng-4407	158	6	linearly	linearly	ADV
fumecheng-4407	158	7	interpolated	interpolate	VERB
fumecheng-4407	158	8	to	to	ADP
fumecheng-4407	158	9	a	a	DET
fumecheng-4407	158	10	constant	constant	ADJ
fumecheng-4407	158	11	spacing	spacing	NOUN
fumecheng-4407	158	12	along	along	ADP
fumecheng-4407	158	13	the	the	DET
fumecheng-4407	158	14	boundary	boundary	NOUN
fumecheng-4407	158	15	and	and	CCONJ
fumecheng-4407	158	16	each	each	DET
fumecheng-4407	158	17	resulting	result	VERB
fumecheng-4407	158	18	value	value	NOUN
fumecheng-4407	158	19	is	be	AUX
fumecheng-4407	158	20	averaged	average	VERB
fumecheng-4407	158	21	with	with	ADP
fumecheng-4407	158	22	its	its	PRON
fumecheng-4407	158	23	two	two	NUM
fumecheng-4407	158	24	neighbors	neighbor	NOUN
fumecheng-4407	158	25	to	to	PART
fumecheng-4407	158	26	eliminate	eliminate	VERB
fumecheng-4407	158	27	the	the	DET
fumecheng-4407	158	28	influence	influence	NOUN
fumecheng-4407	158	29	of	of	ADP
fumecheng-4407	158	30	the	the	DET
fumecheng-4407	158	31	alternations	alternation	NOUN
fumecheng-4407	158	32	.	.	PUNCT
fumecheng-4407	159	1	this	this	DET
fumecheng-4407	159	2	technique	technique	NOUN
fumecheng-4407	159	3	further	far	ADV
fumecheng-4407	159	4	improves	improve	VERB
fumecheng-4407	159	5	the	the	DET
fumecheng-4407	159	6	accuracy	accuracy	NOUN
fumecheng-4407	159	7	of	of	ADP
fumecheng-4407	159	8	the	the	DET
fumecheng-4407	159	9	results	result	NOUN
fumecheng-4407	159	10	as	as	SCONJ
fumecheng-4407	159	11	can	can	AUX
fumecheng-4407	159	12	be	be	AUX
fumecheng-4407	159	13	seen	see	VERB
fumecheng-4407	159	14	in	in	ADP
fumecheng-4407	159	15	the	the	DET
fumecheng-4407	159	16	last	last	ADJ
fumecheng-4407	159	17	graph	graph	NOUN
fumecheng-4407	159	18	in	in	ADP
fumecheng-4407	159	19	fig	fig	NOUN
fumecheng-4407	159	20	.	.	PUNCT
fumecheng-4407	160	1	8	8	NUM
fumecheng-4407	160	2	.	.	PUNCT
fumecheng-4407	161	1	the	the	DET
fumecheng-4407	161	2	order	order	NOUN
fumecheng-4407	161	3	of	of	ADP
fumecheng-4407	161	4	the	the	DET
fumecheng-4407	161	5	computational	computational	ADJ
fumecheng-4407	161	6	complexity	complexity	NOUN
fumecheng-4407	161	7	remains	remain	VERB
fumecheng-4407	161	8	the	the	DET
fumecheng-4407	161	9	same	same	ADJ
fumecheng-4407	161	10	.	.	PUNCT
fumecheng-4407	162	1	the	the	DET
fumecheng-4407	162	2	last	last	ADJ
fumecheng-4407	162	3	point	point	NOUN
fumecheng-4407	162	4	to	to	PART
fumecheng-4407	162	5	make	make	VERB
fumecheng-4407	162	6	in	in	ADP
fumecheng-4407	162	7	the	the	DET
fumecheng-4407	162	8	paper	paper	NOUN
fumecheng-4407	162	9	is	be	AUX
fumecheng-4407	162	10	that	that	SCONJ
fumecheng-4407	162	11	,	,	PUNCT
fumecheng-4407	162	12	in	in	ADP
fumecheng-4407	162	13	addition	addition	NOUN
fumecheng-4407	162	14	to	to	ADP
fumecheng-4407	162	15	the	the	DET
fumecheng-4407	162	16	boundary	boundary	ADJ
fumecheng-4407	162	17	values	value	NOUN
fumecheng-4407	162	18	,	,	PUNCT
fumecheng-4407	162	19	also	also	ADV
fumecheng-4407	162	20	inner	inner	ADJ
fumecheng-4407	162	21	values	value	NOUN
fumecheng-4407	162	22	of	of	ADP
fumecheng-4407	162	23	the	the	DET
fumecheng-4407	162	24	problem	problem	NOUN
fumecheng-4407	162	25	are	be	AUX
fumecheng-4407	162	26	calculated	calculate	VERB
fumecheng-4407	162	27	with	with	ADP
fumecheng-4407	162	28	each	each	DET
fumecheng-4407	162	29	method	method	NOUN
fumecheng-4407	162	30	above	above	ADV
fumecheng-4407	162	31	.	.	PUNCT
fumecheng-4407	163	1	these	these	DET
fumecheng-4407	163	2	inner	inner	ADJ
fumecheng-4407	163	3	values	value	NOUN
fumecheng-4407	163	4	are	be	AUX
fumecheng-4407	163	5	not	not	PART
fumecheng-4407	163	6	needed	need	VERB
fumecheng-4407	163	7	in	in	ADP
fumecheng-4407	163	8	order	order	NOUN
fumecheng-4407	163	9	to	to	PART
fumecheng-4407	163	10	obtain	obtain	VERB
fumecheng-4407	163	11	the	the	DET
fumecheng-4407	163	12	boundary	boundary	ADJ
fumecheng-4407	163	13	values	value	NOUN
fumecheng-4407	163	14	but	but	CCONJ
fumecheng-4407	163	15	they	they	PRON
fumecheng-4407	163	16	are	be	AUX
fumecheng-4407	163	17	simply	simply	ADV
fumecheng-4407	163	18	available	available	ADJ
fumecheng-4407	163	19	after	after	SCONJ
fumecheng-4407	163	20	the	the	DET
fumecheng-4407	163	21	boundary	boundary	ADJ
fumecheng-4407	163	22	integral	integral	NOUN
fumecheng-4407	163	23	is	be	AUX
fumecheng-4407	163	24	obtained	obtain	VERB
fumecheng-4407	163	25	.	.	PUNCT
fumecheng-4407	164	1	this	this	PRON
fumecheng-4407	164	2	is	be	AUX
fumecheng-4407	164	3	due	due	ADJ
fumecheng-4407	164	4	to	to	ADP
fumecheng-4407	164	5	the	the	DET
fumecheng-4407	164	6	application	application	NOUN
fumecheng-4407	164	7	of	of	ADP
fumecheng-4407	164	8	the	the	DET
fumecheng-4407	164	9	fft	fft	NOUN
fumecheng-4407	164	10	on	on	ADP
fumecheng-4407	164	11	the	the	DET
fumecheng-4407	164	12	entire	entire	ADJ
fumecheng-4407	164	13	domain	domain	NOUN
fumecheng-4407	164	14	.	.	PUNCT
fumecheng-4407	165	1	at	at	ADP
fumecheng-4407	165	2	a	a	DET
fumecheng-4407	165	3	certain	certain	ADJ
fumecheng-4407	165	4	distance	distance	NOUN
fumecheng-4407	165	5	to	to	ADP
fumecheng-4407	165	6	the	the	DET
fumecheng-4407	165	7	boundary	boundary	NOUN
fumecheng-4407	165	8	these	these	DET
fumecheng-4407	165	9	values	value	NOUN
fumecheng-4407	165	10	are	be	AUX
fumecheng-4407	165	11	highly	highly	ADV
fumecheng-4407	165	12	accurate	accurate	ADJ
fumecheng-4407	165	13	.	.	PUNCT
fumecheng-4407	166	1	fig	fig	NOUN
fumecheng-4407	166	2	.	.	PUNCT
fumecheng-4407	167	1	9a	9a	NOUN
fumecheng-4407	167	2	displays	display	VERB
fumecheng-4407	167	3	the	the	DET
fumecheng-4407	167	4	inner	inner	ADJ
fumecheng-4407	167	5	values	value	NOUN
fumecheng-4407	167	6	as	as	SCONJ
fumecheng-4407	167	7	they	they	PRON
fumecheng-4407	167	8	are	be	AUX
fumecheng-4407	167	9	obtained	obtain	VERB
fumecheng-4407	167	10	with	with	ADP
fumecheng-4407	167	11	the	the	DET
fumecheng-4407	167	12	convolution	convolution	NOUN
fumecheng-4407	167	13	in	in	ADP
fumecheng-4407	167	14	technique	technique	NOUN
fumecheng-4407	167	15	i.	i.	NOUN
fumecheng-4407	167	16	close	close	ADJ
fumecheng-4407	167	17	to	to	ADP
fumecheng-4407	167	18	the	the	DET
fumecheng-4407	167	19	boundary	boundary	NOUN
fumecheng-4407	167	20	the	the	DET
fumecheng-4407	167	21	error	error	NOUN
fumecheng-4407	167	22	starts	start	VERB
fumecheng-4407	167	23	to	to	PART
fumecheng-4407	167	24	increase	increase	VERB
fumecheng-4407	167	25	rapidly	rapidly	ADV
fumecheng-4407	167	26	.	.	PUNCT
fumecheng-4407	168	1	fig	fig	NOUN
fumecheng-4407	168	2	.	.	PUNCT
fumecheng-4407	169	1	9b	9b	NOUN
fumecheng-4407	169	2	displays	display	VERB
fumecheng-4407	169	3	the	the	DET
fumecheng-4407	169	4	inner	inner	ADJ
fumecheng-4407	169	5	values	value	NOUN
fumecheng-4407	169	6	as	as	SCONJ
fumecheng-4407	169	7	obtained	obtain	VERB
fumecheng-4407	169	8	in	in	ADP
fumecheng-4407	169	9	technique	technique	NOUN
fumecheng-4407	169	10	iii	iii	NOUN
fumecheng-4407	169	11	and	and	CCONJ
fumecheng-4407	169	12	technique	technique	NOUN
fumecheng-4407	169	13	iv	iv	NOUN
fumecheng-4407	169	14	.	.	PUNCT
fumecheng-4407	170	1	here	here	ADV
fumecheng-4407	170	2	,	,	PUNCT
fumecheng-4407	170	3	the	the	DET
fumecheng-4407	170	4	graphs	graph	NOUN
fumecheng-4407	170	5	show	show	VERB
fumecheng-4407	170	6	only	only	ADV
fumecheng-4407	170	7	the	the	DET
fumecheng-4407	170	8	portion	portion	NOUN
fumecheng-4407	170	9	of	of	ADP
fumecheng-4407	170	10	the	the	DET
fumecheng-4407	170	11	results	result	NOUN
fumecheng-4407	170	12	from	from	ADP
fumecheng-4407	170	13	the	the	DET
fumecheng-4407	170	14	convolutions	convolution	NOUN
fumecheng-4407	170	15	.	.	PUNCT
fumecheng-4407	171	1	the	the	DET
fumecheng-4407	171	2	additional	additional	ADJ
fumecheng-4407	171	3	portion	portion	NOUN
fumecheng-4407	171	4	which	which	PRON
fumecheng-4407	171	5	leads	lead	VERB
fumecheng-4407	171	6	to	to	ADP
fumecheng-4407	171	7	the	the	DET
fumecheng-4407	171	8	numerical	numerical	ADJ
fumecheng-4407	171	9	values	value	NOUN
fumecheng-4407	171	10	for	for	ADP
fumecheng-4407	171	11	u	u	NOUN
fumecheng-4407	171	12	on	on	ADP
fumecheng-4407	171	13	the	the	DET
fumecheng-4407	171	14	boundary	boundary	NOUN
fumecheng-4407	171	15	(	(	PUNCT
fumecheng-4407	171	16	compare	compare	VERB
fumecheng-4407	171	17	fig	fig	NOUN
fumecheng-4407	171	18	.	.	PUNCT
fumecheng-4407	172	1	8)	8)	NUM
fumecheng-4407	172	2	comes	come	VERB
fumecheng-4407	172	3	from	from	ADP
fumecheng-4407	172	4	the	the	DET
fumecheng-4407	172	5	direct	direct	ADJ
fumecheng-4407	172	6	integration	integration	NOUN
fumecheng-4407	172	7	which	which	PRON
fumecheng-4407	172	8	is	be	AUX
fumecheng-4407	172	9	not	not	PART
fumecheng-4407	172	10	shown	show	VERB
fumecheng-4407	172	11	in	in	ADP
fumecheng-4407	172	12	fig	fig	NOUN
fumecheng-4407	172	13	.	.	PUNCT
fumecheng-4407	173	1	9b	9b	NOUN
fumecheng-4407	173	2	.	.	PUNCT
fumecheng-4407	174	1	the	the	DET
fumecheng-4407	174	2	last	last	ADJ
fumecheng-4407	174	3	two	two	NUM
fumecheng-4407	174	4	graphs	graph	NOUN
fumecheng-4407	174	5	(	(	PUNCT
fumecheng-4407	174	6	see	see	VERB
fumecheng-4407	174	7	fig	fig	NOUN
fumecheng-4407	174	8	.	.	PUNCT
fumecheng-4407	175	1	9c	9c	NUM
fumecheng-4407	175	2	)	)	PUNCT
fumecheng-4407	175	3	show	show	VERB
fumecheng-4407	175	4	again	again	ADV
fumecheng-4407	175	5	the	the	DET
fumecheng-4407	175	6	inner	inner	ADJ
fumecheng-4407	175	7	values	value	NOUN
fumecheng-4407	175	8	as	as	SCONJ
fumecheng-4407	175	9	obtained	obtain	VERB
fumecheng-4407	175	10	in	in	ADP
fumecheng-4407	175	11	the	the	DET
fumecheng-4407	175	12	technique	technique	NOUN
fumecheng-4407	175	13	iii	iii	NOUN
fumecheng-4407	175	14	and	and	CCONJ
fumecheng-4407	175	15	technique	technique	NOUN
fumecheng-4407	175	16	iv	iv	NOUN
fumecheng-4407	175	17	,	,	PUNCT
fumecheng-4407	175	18	only	only	ADV
fumecheng-4407	175	19	now	now	ADV
fumecheng-4407	175	20	the	the	DET
fumecheng-4407	175	21	resolution	resolution	NOUN
fumecheng-4407	175	22	n	n	PROPN
fumecheng-4407	175	23	of	of	ADP
fumecheng-4407	175	24	the	the	DET
fumecheng-4407	175	25	grid	grid	NOUN
fumecheng-4407	175	26	is	be	AUX
fumecheng-4407	175	27	increased	increase	VERB
fumecheng-4407	175	28	ten	ten	NUM
fumecheng-4407	175	29	414	414	NUM
fumecheng-4407	175	30	j.	j.	PROPN
fumecheng-4407	175	31	benad	benad	PROPN
fumecheng-4407	175	32	times	times	PROPN
fumecheng-4407	175	33	.	.	PUNCT
fumecheng-4407	176	1	as	as	SCONJ
fumecheng-4407	176	2	the	the	DET
fumecheng-4407	176	3	number	number	NOUN
fumecheng-4407	176	4	of	of	ADP
fumecheng-4407	176	5	panels	panel	NOUN
fumecheng-4407	176	6	for	for	ADP
fumecheng-4407	176	7	the	the	DET
fumecheng-4407	176	8	direct	direct	ADJ
fumecheng-4407	176	9	integration	integration	NOUN
fumecheng-4407	176	10	remains	remain	VERB
fumecheng-4407	176	11	the	the	DET
fumecheng-4407	176	12	same	same	ADJ
fumecheng-4407	176	13	(	(	PUNCT
fumecheng-4407	176	14	r	r	NOUN
fumecheng-4407	176	15	=	=	SYM
fumecheng-4407	176	16	7	7	NUM
fumecheng-4407	176	17	)	)	PUNCT
fumecheng-4407	176	18	while	while	SCONJ
fumecheng-4407	176	19	the	the	DET
fumecheng-4407	176	20	overall	overall	ADJ
fumecheng-4407	176	21	resolution	resolution	NOUN
fumecheng-4407	176	22	is	be	AUX
fumecheng-4407	176	23	increased	increase	VERB
fumecheng-4407	176	24	,	,	PUNCT
fumecheng-4407	176	25	the	the	DET
fumecheng-4407	176	26	values	value	NOUN
fumecheng-4407	176	27	which	which	PRON
fumecheng-4407	176	28	represent	represent	VERB
fumecheng-4407	176	29	the	the	DET
fumecheng-4407	176	30	potential	potential	NOUN
fumecheng-4407	176	31	within	within	ADP
fumecheng-4407	176	32	the	the	DET
fumecheng-4407	176	33	shape	shape	NOUN
fumecheng-4407	176	34	now	now	ADV
fumecheng-4407	176	35	stretch	stretch	VERB
fumecheng-4407	176	36	all	all	DET
fumecheng-4407	176	37	the	the	DET
fumecheng-4407	176	38	way	way	NOUN
fumecheng-4407	176	39	to	to	ADP
fumecheng-4407	176	40	its	its	PRON
fumecheng-4407	176	41	boundary	boundary	NOUN
fumecheng-4407	176	42	.	.	PUNCT
fumecheng-4407	177	1	fig	fig	NOUN
fumecheng-4407	177	2	.	.	PUNCT
fumecheng-4407	178	1	8	8	NUM
fumecheng-4407	178	2	numerical	numerical	ADJ
fumecheng-4407	178	3	results	result	NOUN
fumecheng-4407	178	4	for	for	ADP
fumecheng-4407	178	5	u	u	NOUN
fumecheng-4407	178	6	(	(	PUNCT
fumecheng-4407	178	7	black	black	ADJ
fumecheng-4407	178	8	dots	dot	NOUN
fumecheng-4407	178	9	)	)	PUNCT
fumecheng-4407	178	10	displayed	display	VERB
fumecheng-4407	178	11	along	along	ADP
fumecheng-4407	178	12	boundary	boundary	PROPN
fumecheng-4407	178	13	s	s	PROPN
fumecheng-4407	178	14	of	of	ADP
fumecheng-4407	178	15	the	the	DET
fumecheng-4407	178	16	shape	shape	NOUN
fumecheng-4407	178	17	and	and	CCONJ
fumecheng-4407	178	18	compared	compare	VERB
fumecheng-4407	178	19	with	with	ADP
fumecheng-4407	178	20	the	the	DET
fumecheng-4407	178	21	analytical	analytical	ADJ
fumecheng-4407	178	22	solution	solution	NOUN
fumecheng-4407	178	23	for	for	ADP
fumecheng-4407	178	24	u	u	NOUN
fumecheng-4407	178	25	on	on	ADP
fumecheng-4407	178	26	the	the	DET
fumecheng-4407	178	27	boundary	boundary	ADJ
fumecheng-4407	178	28	(	(	PUNCT
fumecheng-4407	178	29	red	red	ADJ
fumecheng-4407	178	30	line	line	NOUN
fumecheng-4407	178	31	)	)	PUNCT
fumecheng-4407	178	32	.	.	PUNCT
fumecheng-4407	179	1	the	the	DET
fumecheng-4407	179	2	graphs	graph	NOUN
fumecheng-4407	179	3	are	be	AUX
fumecheng-4407	179	4	displayed	display	VERB
fumecheng-4407	179	5	for	for	ADP
fumecheng-4407	179	6	a	a	DET
fumecheng-4407	179	7	grid	grid	NOUN
fumecheng-4407	179	8	with	with	ADP
fumecheng-4407	179	9	n	n	NOUN
fumecheng-4407	179	10	=	=	SYM
fumecheng-4407	179	11	56	56	NUM
fumecheng-4407	179	12	panels	panel	NOUN
fumecheng-4407	179	13	on	on	ADP
fumecheng-4407	179	14	each	each	DET
fumecheng-4407	179	15	side	side	NOUN
fumecheng-4407	179	16	.	.	PUNCT
fumecheng-4407	180	1	for	for	ADP
fumecheng-4407	180	2	the	the	DET
fumecheng-4407	180	3	chosen	choose	VERB
fumecheng-4407	180	4	shape	shape	NOUN
fumecheng-4407	180	5	this	this	DET
fumecheng-4407	180	6	corresponds	correspond	VERB
fumecheng-4407	180	7	to	to	ADP
fumecheng-4407	180	8	n	n	NOUN
fumecheng-4407	180	9	=	=	SYM
fumecheng-4407	180	10	214	214	NUM
fumecheng-4407	180	11	surface	surface	NOUN
fumecheng-4407	180	12	points	point	NOUN
fumecheng-4407	180	13	.	.	PUNCT
fumecheng-4407	181	1	(	(	PUNCT
fumecheng-4407	181	2	see	see	VERB
fumecheng-4407	181	3	the	the	DET
fumecheng-4407	181	4	red	red	ADJ
fumecheng-4407	181	5	line	line	NOUN
fumecheng-4407	181	6	in	in	ADP
fumecheng-4407	181	7	fig	fig	NOUN
fumecheng-4407	181	8	.	.	PUNCT
fumecheng-4407	182	1	9	9	NUM
fumecheng-4407	182	2	for	for	ADP
fumecheng-4407	182	3	a	a	DET
fumecheng-4407	182	4	view	view	NOUN
fumecheng-4407	182	5	of	of	ADP
fumecheng-4407	182	6	the	the	DET
fumecheng-4407	182	7	analytical	analytical	ADJ
fumecheng-4407	182	8	solution	solution	NOUN
fumecheng-4407	182	9	for	for	ADP
fumecheng-4407	182	10	u	u	NOUN
fumecheng-4407	182	11	displayed	display	VERB
fumecheng-4407	182	12	over	over	ADP
fumecheng-4407	182	13	the	the	DET
fumecheng-4407	182	14	x	x	PROPN
fumecheng-4407	182	15	-	-	ADJ
fumecheng-4407	182	16	y	y	PROPN
fumecheng-4407	182	17	plane	plane	NOUN
fumecheng-4407	182	18	.	.	PUNCT
fumecheng-4407	182	19	)	)	PUNCT
fumecheng-4407	183	1	efficient	efficient	ADJ
fumecheng-4407	183	2	calculation	calculation	NOUN
fumecheng-4407	183	3	of	of	ADP
fumecheng-4407	183	4	the	the	DET
fumecheng-4407	183	5	bem	bem	NOUN
fumecheng-4407	183	6	integrals	integral	NOUN
fumecheng-4407	183	7	on	on	ADP
fumecheng-4407	183	8	arbitrary	arbitrary	ADJ
fumecheng-4407	183	9	shapes	shape	NOUN
fumecheng-4407	183	10	with	with	ADP
fumecheng-4407	183	11	the	the	DET
fumecheng-4407	183	12	fft	fft	PROPN
fumecheng-4407	183	13	415	415	NUM
fumecheng-4407	183	14	fig	fig	NOUN
fumecheng-4407	183	15	.	.	PUNCT
fumecheng-4407	184	1	9	9	NUM
fumecheng-4407	184	2	exemplary	exemplary	ADJ
fumecheng-4407	184	3	results	result	NOUN
fumecheng-4407	184	4	for	for	ADP
fumecheng-4407	184	5	the	the	DET
fumecheng-4407	184	6	inner	inner	ADJ
fumecheng-4407	184	7	values	value	NOUN
fumecheng-4407	184	8	available	available	ADJ
fumecheng-4407	184	9	after	after	ADP
fumecheng-4407	184	10	the	the	DET
fumecheng-4407	184	11	convolutions	convolution	NOUN
fumecheng-4407	184	12	in	in	ADP
fumecheng-4407	184	13	a	a	DET
fumecheng-4407	184	14	)	)	PUNCT
fumecheng-4407	184	15	technique	technique	NOUN
fumecheng-4407	184	16	i	i	PROPN
fumecheng-4407	184	17	,	,	PUNCT
fumecheng-4407	184	18	n	n	PROPN
fumecheng-4407	184	19	=	=	SYM
fumecheng-4407	184	20	56	56	NUM
fumecheng-4407	184	21	,	,	PUNCT
fumecheng-4407	184	22	r	r	NOUN
fumecheng-4407	184	23	=	=	SYM
fumecheng-4407	184	24	7	7	NUM
fumecheng-4407	184	25	,	,	PUNCT
fumecheng-4407	184	26	b	b	NOUN
fumecheng-4407	184	27	)	)	PUNCT
fumecheng-4407	184	28	technique	technique	NOUN
fumecheng-4407	184	29	iii	iii	PROPN
fumecheng-4407	184	30	&	&	CCONJ
fumecheng-4407	184	31	iv	iv	NUM
fumecheng-4407	184	32	,	,	PUNCT
fumecheng-4407	184	33	n	n	PROPN
fumecheng-4407	184	34	=	=	SYM
fumecheng-4407	184	35	56	56	NUM
fumecheng-4407	184	36	,	,	PUNCT
fumecheng-4407	184	37	r	r	NOUN
fumecheng-4407	184	38	=	=	SYM
fumecheng-4407	184	39	7	7	NUM
fumecheng-4407	184	40	,	,	PUNCT
fumecheng-4407	184	41	c	c	NOUN
fumecheng-4407	184	42	)	)	PUNCT
fumecheng-4407	184	43	technique	technique	NOUN
fumecheng-4407	184	44	iii	iii	PROPN
fumecheng-4407	184	45	&	&	CCONJ
fumecheng-4407	184	46	iv	iv	NUM
fumecheng-4407	184	47	,	,	PUNCT
fumecheng-4407	184	48	n	n	PROPN
fumecheng-4407	184	49	=	=	SYM
fumecheng-4407	184	50	560	560	NUM
fumecheng-4407	184	51	,	,	PUNCT
fumecheng-4407	184	52	r	r	NOUN
fumecheng-4407	184	53	=	=	SYM
fumecheng-4407	184	54	7	7	X
fumecheng-4407	184	55	.	.	PUNCT
fumecheng-4407	185	1	the	the	DET
fumecheng-4407	185	2	red	red	ADJ
fumecheng-4407	185	3	line	line	NOUN
fumecheng-4407	185	4	shows	show	VERB
fumecheng-4407	185	5	the	the	DET
fumecheng-4407	185	6	analytical	analytical	ADJ
fumecheng-4407	185	7	solution	solution	NOUN
fumecheng-4407	185	8	for	for	ADP
fumecheng-4407	185	9	u	u	NOUN
fumecheng-4407	185	10	on	on	ADP
fumecheng-4407	185	11	the	the	DET
fumecheng-4407	185	12	boundary	boundary	NOUN
fumecheng-4407	185	13	.	.	PUNCT
fumecheng-4407	186	1	(	(	PUNCT
fumecheng-4407	186	2	note	note	VERB
fumecheng-4407	186	3	that	that	SCONJ
fumecheng-4407	186	4	the	the	DET
fumecheng-4407	186	5	grid	grid	NOUN
fumecheng-4407	186	6	lines	line	NOUN
fumecheng-4407	186	7	in	in	ADP
fumecheng-4407	186	8	c	c	NOUN
fumecheng-4407	186	9	)	)	PUNCT
fumecheng-4407	186	10	are	be	AUX
fumecheng-4407	186	11	not	not	PART
fumecheng-4407	186	12	displayed	display	VERB
fumecheng-4407	186	13	only	only	ADV
fumecheng-4407	186	14	for	for	ADP
fumecheng-4407	186	15	a	a	DET
fumecheng-4407	186	16	better	well	ADJ
fumecheng-4407	186	17	visual	visual	ADJ
fumecheng-4407	186	18	illustration	illustration	NOUN
fumecheng-4407	186	19	.	.	PUNCT
fumecheng-4407	186	20	)	)	PUNCT
fumecheng-4407	187	1	416	416	NUM
fumecheng-4407	187	2	j.	j.	PROPN
fumecheng-4407	187	3	benad	benad	PROPN
fumecheng-4407	187	4	5	5	X
fumecheng-4407	187	5	.	.	PUNCT
fumecheng-4407	187	6	conclusions	conclusion	NOUN
fumecheng-4407	187	7	in	in	ADP
fumecheng-4407	187	8	this	this	DET
fumecheng-4407	187	9	study	study	NOUN
fumecheng-4407	187	10	we	we	PRON
fumecheng-4407	187	11	have	have	AUX
fumecheng-4407	187	12	further	far	ADV
fumecheng-4407	187	13	deepened	deepen	VERB
fumecheng-4407	187	14	the	the	DET
fumecheng-4407	187	15	understanding	understanding	NOUN
fumecheng-4407	187	16	of	of	ADP
fumecheng-4407	187	17	how	how	SCONJ
fumecheng-4407	187	18	the	the	DET
fumecheng-4407	187	19	boundary	boundary	ADJ
fumecheng-4407	187	20	integrals	integral	NOUN
fumecheng-4407	187	21	of	of	ADP
fumecheng-4407	187	22	the	the	DET
fumecheng-4407	187	23	bem	bem	PROPN
fumecheng-4407	187	24	can	can	AUX
fumecheng-4407	187	25	be	be	AUX
fumecheng-4407	187	26	obtained	obtain	VERB
fumecheng-4407	187	27	on	on	ADP
fumecheng-4407	187	28	arbitrary	arbitrary	ADJ
fumecheng-4407	187	29	shapes	shape	NOUN
fumecheng-4407	187	30	with	with	ADP
fumecheng-4407	187	31	the	the	DET
fumecheng-4407	187	32	fft	fft	PROPN
fumecheng-4407	187	33	.	.	PUNCT
fumecheng-4407	188	1	we	we	PRON
fumecheng-4407	188	2	have	have	AUX
fumecheng-4407	188	3	built	build	VERB
fumecheng-4407	188	4	upon	upon	SCONJ
fumecheng-4407	188	5	the	the	DET
fumecheng-4407	188	6	results	result	NOUN
fumecheng-4407	188	7	in	in	ADP
fumecheng-4407	188	8	[	[	X
fumecheng-4407	188	9	15	15	NUM
fumecheng-4407	188	10	]	]	PUNCT
fumecheng-4407	188	11	and	and	CCONJ
fumecheng-4407	188	12	presented	present	VERB
fumecheng-4407	188	13	an	an	DET
fumecheng-4407	188	14	exemplary	exemplary	ADJ
fumecheng-4407	188	15	numerical	numerical	ADJ
fumecheng-4407	188	16	calculation	calculation	NOUN
fumecheng-4407	188	17	of	of	ADP
fumecheng-4407	188	18	the	the	DET
fumecheng-4407	188	19	boundary	boundary	ADJ
fumecheng-4407	188	20	integrals	integral	NOUN
fumecheng-4407	188	21	of	of	ADP
fumecheng-4407	188	22	the	the	DET
fumecheng-4407	188	23	laplace	laplace	NOUN
fumecheng-4407	188	24	equation	equation	NOUN
fumecheng-4407	188	25	for	for	ADP
fumecheng-4407	188	26	a	a	DET
fumecheng-4407	188	27	chosen	choose	VERB
fumecheng-4407	188	28	curved	curved	ADJ
fumecheng-4407	188	29	shape	shape	NOUN
fumecheng-4407	188	30	.	.	PUNCT
fumecheng-4407	189	1	the	the	DET
fumecheng-4407	189	2	accuracy	accuracy	NOUN
fumecheng-4407	189	3	of	of	ADP
fumecheng-4407	189	4	different	different	ADJ
fumecheng-4407	189	5	implementation	implementation	NOUN
fumecheng-4407	189	6	techniques	technique	NOUN
fumecheng-4407	189	7	is	be	AUX
fumecheng-4407	189	8	compared	compare	VERB
fumecheng-4407	189	9	.	.	PUNCT
fumecheng-4407	190	1	we	we	PRON
fumecheng-4407	190	2	have	have	AUX
fumecheng-4407	190	3	also	also	ADV
fumecheng-4407	190	4	drawn	draw	VERB
fumecheng-4407	190	5	attention	attention	NOUN
fumecheng-4407	190	6	to	to	ADP
fumecheng-4407	190	7	several	several	ADJ
fumecheng-4407	190	8	general	general	ADJ
fumecheng-4407	190	9	aspects	aspect	NOUN
fumecheng-4407	190	10	of	of	ADP
fumecheng-4407	190	11	the	the	DET
fumecheng-4407	190	12	concept	concept	NOUN
fumecheng-4407	190	13	:	:	PUNCT
fumecheng-4407	190	14	the	the	DET
fumecheng-4407	190	15	importance	importance	NOUN
fumecheng-4407	190	16	of	of	ADP
fumecheng-4407	190	17	the	the	DET
fumecheng-4407	190	18	normal	normal	ADJ
fumecheng-4407	190	19	surface	surface	NOUN
fumecheng-4407	190	20	vectors	vector	NOUN
fumecheng-4407	190	21	is	be	AUX
fumecheng-4407	190	22	highlighted	highlight	VERB
fumecheng-4407	190	23	,	,	PUNCT
fumecheng-4407	190	24	that	that	ADV
fumecheng-4407	190	25	is	is	ADV
fumecheng-4407	190	26	,	,	PUNCT
fumecheng-4407	190	27	the	the	DET
fumecheng-4407	190	28	one	one	NOUN
fumecheng-4407	190	29	with	with	ADP
fumecheng-4407	190	30	which	which	PRON
fumecheng-4407	190	31	one	one	PRON
fumecheng-4407	190	32	can	can	AUX
fumecheng-4407	190	33	split	split	VERB
fumecheng-4407	190	34	the	the	DET
fumecheng-4407	190	35	boundary	boundary	ADJ
fumecheng-4407	190	36	integral	integral	ADJ
fumecheng-4407	190	37	formulations	formulation	NOUN
fumecheng-4407	190	38	on	on	ADP
fumecheng-4407	190	39	arbitrary	arbitrary	ADJ
fumecheng-4407	190	40	shapes	shape	NOUN
fumecheng-4407	190	41	to	to	PART
fumecheng-4407	190	42	obtain	obtain	VERB
fumecheng-4407	190	43	simple	simple	ADJ
fumecheng-4407	190	44	convolution	convolution	NOUN
fumecheng-4407	190	45	integrals	integral	NOUN
fumecheng-4407	190	46	.	.	PUNCT
fumecheng-4407	191	1	we	we	PRON
fumecheng-4407	191	2	have	have	AUX
fumecheng-4407	191	3	further	far	ADV
fumecheng-4407	191	4	illustrated	illustrate	VERB
fumecheng-4407	191	5	how	how	SCONJ
fumecheng-4407	191	6	the	the	DET
fumecheng-4407	191	7	arbitrary	arbitrary	ADJ
fumecheng-4407	191	8	boundary	boundary	ADJ
fumecheng-4407	191	9	cuts	cut	NOUN
fumecheng-4407	191	10	through	through	ADP
fumecheng-4407	191	11	the	the	DET
fumecheng-4407	191	12	uniform	uniform	ADJ
fumecheng-4407	191	13	grid	grid	NOUN
fumecheng-4407	191	14	.	.	PUNCT
fumecheng-4407	192	1	then	then	ADV
fumecheng-4407	192	2	it	it	PRON
fumecheng-4407	192	3	is	be	AUX
fumecheng-4407	192	4	highlighted	highlight	VERB
fumecheng-4407	192	5	that	that	SCONJ
fumecheng-4407	192	6	with	with	ADP
fumecheng-4407	192	7	the	the	DET
fumecheng-4407	192	8	boundary	boundary	ADJ
fumecheng-4407	192	9	integral	integral	ADJ
fumecheng-4407	192	10	formulations	formulation	NOUN
fumecheng-4407	192	11	of	of	ADP
fumecheng-4407	192	12	the	the	DET
fumecheng-4407	192	13	laplace	laplace	NOUN
fumecheng-4407	192	14	and	and	CCONJ
fumecheng-4407	192	15	navier	navi	ADJ
fumecheng-4407	192	16	equation	equation	NOUN
fumecheng-4407	192	17	there	there	PRON
fumecheng-4407	192	18	is	be	VERB
fumecheng-4407	192	19	always	always	ADV
fumecheng-4407	192	20	a	a	DET
fumecheng-4407	192	21	conjugant	conjugant	NOUN
fumecheng-4407	192	22	gradient	gradient	NOUN
fumecheng-4407	192	23	method	method	NOUN
fumecheng-4407	192	24	necessary	necessary	ADJ
fumecheng-4407	192	25	to	to	PART
fumecheng-4407	192	26	obtain	obtain	VERB
fumecheng-4407	192	27	the	the	DET
fumecheng-4407	192	28	desired	desire	VERB
fumecheng-4407	192	29	values	value	NOUN
fumecheng-4407	192	30	on	on	ADP
fumecheng-4407	192	31	the	the	DET
fumecheng-4407	192	32	boundary	boundary	NOUN
fumecheng-4407	192	33	.	.	PUNCT
fumecheng-4407	193	1	furthermore	furthermore	ADV
fumecheng-4407	193	2	,	,	PUNCT
fumecheng-4407	193	3	a	a	DET
fumecheng-4407	193	4	concept	concept	NOUN
fumecheng-4407	193	5	is	be	AUX
fumecheng-4407	193	6	mentioned	mention	VERB
fumecheng-4407	193	7	to	to	PART
fumecheng-4407	193	8	further	far	ADV
fumecheng-4407	193	9	reduce	reduce	VERB
fumecheng-4407	193	10	the	the	DET
fumecheng-4407	193	11	computational	computational	ADJ
fumecheng-4407	193	12	complexity	complexity	NOUN
fumecheng-4407	193	13	of	of	ADP
fumecheng-4407	193	14	the	the	DET
fumecheng-4407	193	15	method	method	NOUN
fumecheng-4407	193	16	by	by	ADP
fumecheng-4407	193	17	introducing	introduce	VERB
fumecheng-4407	193	18	a	a	DET
fumecheng-4407	193	19	high	high	ADJ
fumecheng-4407	193	20	-	-	PUNCT
fumecheng-4407	193	21	resolution	resolution	NOUN
fumecheng-4407	193	22	grid	grid	NOUN
fumecheng-4407	193	23	close	close	ADV
fumecheng-4407	193	24	to	to	ADP
fumecheng-4407	193	25	the	the	DET
fumecheng-4407	193	26	boundary	boundary	NOUN
fumecheng-4407	193	27	and	and	CCONJ
fumecheng-4407	193	28	a	a	DET
fumecheng-4407	193	29	low	low	ADJ
fumecheng-4407	193	30	-	-	PUNCT
fumecheng-4407	193	31	resolution	resolution	NOUN
fumecheng-4407	193	32	grid	grid	NOUN
fumecheng-4407	193	33	farther	far	ADV
fumecheng-4407	193	34	away	away	ADV
fumecheng-4407	193	35	.	.	PUNCT
fumecheng-4407	194	1	it	it	PRON
fumecheng-4407	194	2	can	can	AUX
fumecheng-4407	194	3	be	be	AUX
fumecheng-4407	194	4	concluded	conclude	VERB
fumecheng-4407	194	5	that	that	SCONJ
fumecheng-4407	194	6	the	the	DET
fumecheng-4407	194	7	use	use	NOUN
fumecheng-4407	194	8	of	of	ADP
fumecheng-4407	194	9	the	the	DET
fumecheng-4407	194	10	fft	fft	NOUN
fumecheng-4407	194	11	to	to	PART
fumecheng-4407	194	12	obtain	obtain	VERB
fumecheng-4407	194	13	the	the	DET
fumecheng-4407	194	14	boundary	boundary	ADJ
fumecheng-4407	194	15	integrals	integral	NOUN
fumecheng-4407	194	16	of	of	ADP
fumecheng-4407	194	17	the	the	DET
fumecheng-4407	194	18	bem	bem	PROPN
fumecheng-4407	194	19	is	be	AUX
fumecheng-4407	194	20	appealing	appeal	VERB
fumecheng-4407	194	21	and	and	CCONJ
fumecheng-4407	194	22	worthy	worthy	ADJ
fumecheng-4407	194	23	of	of	ADP
fumecheng-4407	194	24	further	further	ADJ
fumecheng-4407	194	25	investigation	investigation	NOUN
fumecheng-4407	194	26	.	.	PUNCT
fumecheng-4407	195	1	this	this	PRON
fumecheng-4407	195	2	is	be	AUX
fumecheng-4407	195	3	due	due	ADJ
fumecheng-4407	195	4	to	to	ADP
fumecheng-4407	195	5	the	the	DET
fumecheng-4407	195	6	lower	low	ADJ
fumecheng-4407	195	7	computational	computational	ADJ
fumecheng-4407	195	8	complexity	complexity	NOUN
fumecheng-4407	195	9	of	of	ADP
fumecheng-4407	195	10	the	the	DET
fumecheng-4407	195	11	method	method	NOUN
fumecheng-4407	195	12	o(n	o(n	PROPN
fumecheng-4407	195	13	3	3	NUM
fumecheng-4407	195	14	log	log	NOUN
fumecheng-4407	195	15	n	n	ADV
fumecheng-4407	195	16	1.5	1.5	NUM
fumecheng-4407	195	17	)	)	PUNCT
fumecheng-4407	195	18	than	than	ADP
fumecheng-4407	195	19	the	the	DET
fumecheng-4407	195	20	inversion	inversion	NOUN
fumecheng-4407	195	21	of	of	ADP
fumecheng-4407	195	22	the	the	DET
fumecheng-4407	195	23	full	full	ADJ
fumecheng-4407	195	24	bem	bem	NOUN
fumecheng-4407	195	25	matrix	matrix	NOUN
fumecheng-4407	195	26	o(n	o(n	PROPN
fumecheng-4407	195	27	4	4	NUM
fumecheng-4407	195	28	)	)	PUNCT
fumecheng-4407	195	29	,	,	PUNCT
fumecheng-4407	195	30	and	and	CCONJ
fumecheng-4407	195	31	to	to	ADP
fumecheng-4407	195	32	the	the	DET
fumecheng-4407	195	33	potential	potential	NOUN
fumecheng-4407	195	34	for	for	ADP
fumecheng-4407	195	35	further	far	ADV
fumecheng-4407	195	36	decreasing	decrease	VERB
fumecheng-4407	195	37	this	this	DET
fumecheng-4407	195	38	complexity	complexity	NOUN
fumecheng-4407	195	39	.	.	PUNCT
fumecheng-4407	196	1	furthermore	furthermore	ADV
fumecheng-4407	196	2	,	,	PUNCT
fumecheng-4407	196	3	very	very	ADV
fumecheng-4407	196	4	efficient	efficient	ADJ
fumecheng-4407	196	5	implementations	implementation	NOUN
fumecheng-4407	196	6	are	be	AUX
fumecheng-4407	196	7	available	available	ADJ
fumecheng-4407	196	8	for	for	ADP
fumecheng-4407	196	9	the	the	DET
fumecheng-4407	196	10	fft	fft	PROPN
fumecheng-4407	196	11	.	.	PUNCT
fumecheng-4407	197	1	also	also	ADV
fumecheng-4407	197	2	,	,	PUNCT
fumecheng-4407	197	3	it	it	PRON
fumecheng-4407	197	4	should	should	AUX
fumecheng-4407	197	5	be	be	AUX
fumecheng-4407	197	6	mentioned	mention	VERB
fumecheng-4407	197	7	that	that	SCONJ
fumecheng-4407	197	8	the	the	DET
fumecheng-4407	197	9	method	method	NOUN
fumecheng-4407	197	10	discussed	discuss	VERB
fumecheng-4407	197	11	in	in	ADP
fumecheng-4407	197	12	this	this	DET
fumecheng-4407	197	13	work	work	NOUN
fumecheng-4407	197	14	is	be	AUX
fumecheng-4407	197	15	very	very	ADV
fumecheng-4407	197	16	similar	similar	ADJ
fumecheng-4407	197	17	to	to	ADP
fumecheng-4407	197	18	the	the	DET
fumecheng-4407	197	19	technique	technique	NOUN
fumecheng-4407	197	20	used	use	VERB
fumecheng-4407	197	21	with	with	ADP
fumecheng-4407	197	22	great	great	ADJ
fumecheng-4407	197	23	success	success	NOUN
fumecheng-4407	197	24	for	for	ADP
fumecheng-4407	197	25	the	the	DET
fumecheng-4407	197	26	half	half	ADJ
fumecheng-4407	197	27	space	space	NOUN
fumecheng-4407	197	28	in	in	ADP
fumecheng-4407	197	29	contact	contact	NOUN
fumecheng-4407	197	30	mechanics	mechanic	NOUN
fumecheng-4407	197	31	.	.	PUNCT
fumecheng-4407	198	1	thus	thus	ADV
fumecheng-4407	198	2	,	,	PUNCT
fumecheng-4407	198	3	many	many	ADJ
fumecheng-4407	198	4	proven	prove	VERB
fumecheng-4407	198	5	techniques	technique	NOUN
fumecheng-4407	198	6	from	from	ADP
fumecheng-4407	198	7	this	this	DET
fumecheng-4407	198	8	field	field	NOUN
fumecheng-4407	198	9	could	could	AUX
fumecheng-4407	198	10	be	be	AUX
fumecheng-4407	198	11	adopted	adopt	VERB
fumecheng-4407	198	12	in	in	ADP
fumecheng-4407	198	13	the	the	DET
fumecheng-4407	198	14	future	future	NOUN
fumecheng-4407	198	15	.	.	PUNCT
fumecheng-4407	199	1	among	among	ADP
fumecheng-4407	199	2	them	they	PRON
fumecheng-4407	199	3	is	be	AUX
fumecheng-4407	199	4	the	the	DET
fumecheng-4407	199	5	rapid	rapid	ADJ
fumecheng-4407	199	6	calculation	calculation	NOUN
fumecheng-4407	199	7	of	of	ADP
fumecheng-4407	199	8	the	the	DET
fumecheng-4407	199	9	contact	contact	NOUN
fumecheng-4407	199	10	area	area	NOUN
fumecheng-4407	199	11	,	,	PUNCT
fumecheng-4407	199	12	the	the	DET
fumecheng-4407	199	13	acquisition	acquisition	NOUN
fumecheng-4407	199	14	of	of	ADP
fumecheng-4407	199	15	stick	stick	NOUN
fumecheng-4407	199	16	and	and	CCONJ
fumecheng-4407	199	17	slip	slip	VERB
fumecheng-4407	199	18	zones	zone	NOUN
fumecheng-4407	199	19	,	,	PUNCT
fumecheng-4407	199	20	and	and	CCONJ
fumecheng-4407	199	21	the	the	DET
fumecheng-4407	199	22	inclusion	inclusion	NOUN
fumecheng-4407	199	23	of	of	ADP
fumecheng-4407	199	24	adhesion	adhesion	NOUN
fumecheng-4407	199	25	in	in	ADP
fumecheng-4407	199	26	the	the	DET
fumecheng-4407	199	27	model	model	NOUN
fumecheng-4407	199	28	[	[	X
fumecheng-4407	199	29	1	1	NUM
fumecheng-4407	199	30	]	]	PUNCT
fumecheng-4407	199	31	.	.	PUNCT
fumecheng-4407	200	1	acknowledgements	acknowledgement	NOUN
fumecheng-4407	200	2	:	:	PUNCT
fumecheng-4407	200	3	the	the	DET
fumecheng-4407	200	4	author	author	NOUN
fumecheng-4407	200	5	would	would	AUX
fumecheng-4407	200	6	like	like	VERB
fumecheng-4407	200	7	to	to	PART
fumecheng-4407	200	8	thank	thank	VERB
fumecheng-4407	200	9	v.	v.	ADP
fumecheng-4407	200	10	l.	l.	PROPN
fumecheng-4407	200	11	popov	popov	PROPN
fumecheng-4407	200	12	for	for	ADP
fumecheng-4407	200	13	many	many	ADJ
fumecheng-4407	200	14	valuable	valuable	ADJ
fumecheng-4407	200	15	discussions	discussion	NOUN
fumecheng-4407	200	16	on	on	ADP
fumecheng-4407	200	17	the	the	DET
fumecheng-4407	200	18	topic	topic	NOUN
fumecheng-4407	200	19	and	and	CCONJ
fumecheng-4407	200	20	critical	critical	ADJ
fumecheng-4407	200	21	comments	comment	NOUN
fumecheng-4407	200	22	.	.	PUNCT
fumecheng-4407	201	1	references	reference	NOUN
fumecheng-4407	201	2	1	1	NUM
fumecheng-4407	201	3	.	.	PUNCT
fumecheng-4407	202	1	popov	popov	PROPN
fumecheng-4407	202	2	,	,	PUNCT
fumecheng-4407	202	3	v.l	v.l	PROPN
fumecheng-4407	202	4	.	.	PROPN
fumecheng-4407	202	5	,	,	PUNCT
fumecheng-4407	202	6	pohrt	pohrt	PROPN
fumecheng-4407	202	7	,	,	PUNCT
fumecheng-4407	202	8	r.	r.	PROPN
fumecheng-4407	202	9	,	,	PUNCT
fumecheng-4407	202	10	li	li	PROPN
fumecheng-4407	202	11	,	,	PUNCT
fumecheng-4407	202	12	q.	q.	PROPN
fumecheng-4407	202	13	,	,	PUNCT
fumecheng-4407	202	14	2017	2017	NUM
fumecheng-4407	202	15	,	,	PUNCT
fumecheng-4407	202	16	strength	strength	NOUN
fumecheng-4407	202	17	of	of	ADP
fumecheng-4407	202	18	adhesive	adhesive	ADJ
fumecheng-4407	202	19	contacts	contact	NOUN
fumecheng-4407	202	20	:	:	PUNCT
fumecheng-4407	202	21	influence	influence	NOUN
fumecheng-4407	202	22	of	of	ADP
fumecheng-4407	202	23	contact	contact	NOUN
fumecheng-4407	202	24	geometry	geometry	NOUN
fumecheng-4407	202	25	and	and	CCONJ
fumecheng-4407	202	26	material	material	NOUN
fumecheng-4407	202	27	gradients	gradient	NOUN
fumecheng-4407	202	28	,	,	PUNCT
fumecheng-4407	202	29	friction	friction	NOUN
fumecheng-4407	202	30	,	,	PUNCT
fumecheng-4407	202	31	5(3	5(3	NUM
fumecheng-4407	202	32	)	)	PUNCT
fumecheng-4407	202	33	,	,	PUNCT
fumecheng-4407	202	34	pp	pp	ADP
fumecheng-4407	202	35	.	.	PUNCT
fumecheng-4407	203	1	308	308	NUM
fumecheng-4407	203	2	-	-	SYM
fumecheng-4407	203	3	325	325	NUM
fumecheng-4407	203	4	.	.	NOUN
fumecheng-4407	204	1	2	2	NUM
fumecheng-4407	204	2	.	.	X
fumecheng-4407	204	3	li	li	PROPN
fumecheng-4407	204	4	,	,	PUNCT
fumecheng-4407	204	5	q.	q.	PROPN
fumecheng-4407	204	6	,	,	PUNCT
fumecheng-4407	204	7	popov	popov	PROPN
fumecheng-4407	204	8	,	,	PUNCT
fumecheng-4407	204	9	v.l	v.l	PROPN
fumecheng-4407	204	10	.	.	PROPN
fumecheng-4407	204	11	,	,	PUNCT
fumecheng-4407	204	12	2018	2018	NUM
fumecheng-4407	204	13	,	,	PUNCT
fumecheng-4407	204	14	boundary	boundary	ADJ
fumecheng-4407	204	15	element	element	NOUN
fumecheng-4407	204	16	method	method	NOUN
fumecheng-4407	204	17	for	for	ADP
fumecheng-4407	204	18	normal	normal	ADJ
fumecheng-4407	204	19	non	non	ADJ
fumecheng-4407	204	20	-	-	ADJ
fumecheng-4407	204	21	adhesive	adhesive	ADJ
fumecheng-4407	204	22	and	and	CCONJ
fumecheng-4407	204	23	adhesive	adhesive	ADJ
fumecheng-4407	204	24	contacts	contact	NOUN
fumecheng-4407	204	25	of	of	ADP
fumecheng-4407	204	26	power	power	NOUN
fumecheng-4407	204	27	-	-	PUNCT
fumecheng-4407	204	28	law	law	NOUN
fumecheng-4407	204	29	graded	grade	VERB
fumecheng-4407	204	30	elastic	elastic	ADJ
fumecheng-4407	204	31	materials	material	NOUN
fumecheng-4407	204	32	,	,	PUNCT
fumecheng-4407	204	33	computational	computational	ADJ
fumecheng-4407	204	34	mechanics	mechanic	NOUN
fumecheng-4407	204	35	,	,	PUNCT
fumecheng-4407	204	36	61(3	61(3	NUM
fumecheng-4407	204	37	)	)	PUNCT
fumecheng-4407	204	38	,	,	PUNCT
fumecheng-4407	204	39	pp	pp	ADP
fumecheng-4407	204	40	.	.	PUNCT
fumecheng-4407	205	1	319	319	NUM
fumecheng-4407	205	2	-	-	SYM
fumecheng-4407	205	3	329	329	NUM
fumecheng-4407	205	4	.	.	PUNCT
fumecheng-4407	206	1	3	3	X
fumecheng-4407	206	2	.	.	X
fumecheng-4407	206	3	popov	popov	PROPN
fumecheng-4407	206	4	,	,	PUNCT
fumecheng-4407	206	5	v.l	v.l	PROPN
fumecheng-4407	206	6	.	.	PROPN
fumecheng-4407	206	7	,	,	PUNCT
fumecheng-4407	206	8	2017	2017	NUM
fumecheng-4407	206	9	,	,	PUNCT
fumecheng-4407	206	10	contact	contact	NOUN
fumecheng-4407	206	11	mechanics	mechanic	NOUN
fumecheng-4407	206	12	and	and	CCONJ
fumecheng-4407	206	13	friction	friction	NOUN
fumecheng-4407	206	14	,	,	PUNCT
fumecheng-4407	206	15	2	2	NUM
fumecheng-4407	206	16	ed	ed	NOUN
fumecheng-4407	206	17	,	,	PUNCT
fumecheng-4407	206	18	springer	springer	NOUN
fumecheng-4407	206	19	,	,	PUNCT
fumecheng-4407	206	20	berlin	berlin	PROPN
fumecheng-4407	206	21	.	.	PUNCT
fumecheng-4407	207	1	4	4	X
fumecheng-4407	207	2	.	.	X
fumecheng-4407	207	3	pohrt	pohrt	PROPN
fumecheng-4407	207	4	,	,	PUNCT
fumecheng-4407	207	5	r.	r.	PROPN
fumecheng-4407	207	6	,	,	PUNCT
fumecheng-4407	207	7	li	li	PROPN
fumecheng-4407	207	8	,	,	PUNCT
fumecheng-4407	207	9	q.	q.	PROPN
fumecheng-4407	207	10	,	,	PUNCT
fumecheng-4407	207	11	2014	2014	NUM
fumecheng-4407	207	12	,	,	PUNCT
fumecheng-4407	207	13	complete	complete	ADJ
fumecheng-4407	207	14	boundary	boundary	ADJ
fumecheng-4407	207	15	element	element	NOUN
fumecheng-4407	207	16	formulation	formulation	NOUN
fumecheng-4407	207	17	for	for	ADP
fumecheng-4407	207	18	normal	normal	ADJ
fumecheng-4407	207	19	and	and	CCONJ
fumecheng-4407	207	20	tangential	tangential	ADJ
fumecheng-4407	207	21	contact	contact	NOUN
fumecheng-4407	207	22	problems	problem	NOUN
fumecheng-4407	207	23	,	,	PUNCT
fumecheng-4407	207	24	physical	physical	ADJ
fumecheng-4407	207	25	mesomechanics	mesomechanic	NOUN
fumecheng-4407	207	26	,	,	PUNCT
fumecheng-4407	207	27	17(4	17(4	NUM
fumecheng-4407	207	28	)	)	PUNCT
fumecheng-4407	207	29	,	,	PUNCT
fumecheng-4407	207	30	pp	pp	PROPN
fumecheng-4407	207	31	.	.	PUNCT
fumecheng-4407	208	1	334	334	NUM
fumecheng-4407	208	2	-	-	SYM
fumecheng-4407	208	3	340	340	NUM
fumecheng-4407	208	4	.	.	PUNCT
fumecheng-4407	209	1	5	5	NUM
fumecheng-4407	209	2	.	.	X
fumecheng-4407	209	3	ferguson	ferguson	PROPN
fumecheng-4407	209	4	,	,	PUNCT
fumecheng-4407	209	5	s.	s.	PROPN
fumecheng-4407	209	6	,	,	PUNCT
fumecheng-4407	209	7	bryant	bryant	PROPN
fumecheng-4407	209	8	,	,	PUNCT
fumecheng-4407	209	9	j.	j.	PROPN
fumecheng-4407	209	10	,	,	PUNCT
fumecheng-4407	209	11	ganz	ganz	PROPN
fumecheng-4407	209	12	,	,	PUNCT
fumecheng-4407	209	13	r.	r.	PROPN
fumecheng-4407	209	14	,	,	PUNCT
fumecheng-4407	209	15	ito	ito	PROPN
fumecheng-4407	209	16	,	,	PUNCT
fumecheng-4407	209	17	k.	k.	PROPN
fumecheng-4407	209	18	,	,	PUNCT
fumecheng-4407	209	19	2000	2000	NUM
fumecheng-4407	209	20	,	,	PUNCT
fumecheng-4407	209	21	the	the	DET
fumecheng-4407	209	22	influence	influence	NOUN
fumecheng-4407	209	23	of	of	ADP
fumecheng-4407	209	24	the	the	DET
fumecheng-4407	209	25	acetabular	acetabular	ADJ
fumecheng-4407	209	26	labrum	labrum	VERB
fumecheng-4407	209	27	on	on	ADP
fumecheng-4407	209	28	hip	hip	NOUN
fumecheng-4407	209	29	joint	joint	ADJ
fumecheng-4407	209	30	cartilage	cartilage	NOUN
fumecheng-4407	209	31	consolidation	consolidation	NOUN
fumecheng-4407	209	32	:	:	PUNCT
fumecheng-4407	209	33	a	a	DET
fumecheng-4407	209	34	poroelastic	poroelastic	ADJ
fumecheng-4407	209	35	finite	finite	NOUN
fumecheng-4407	209	36	element	element	NOUN
fumecheng-4407	209	37	model	model	NOUN
fumecheng-4407	209	38	,	,	PUNCT
fumecheng-4407	209	39	journal	journal	NOUN
fumecheng-4407	209	40	of	of	ADP
fumecheng-4407	209	41	biomechanics	biomechanic	NOUN
fumecheng-4407	209	42	,	,	PUNCT
fumecheng-4407	209	43	33(8	33(8	NUM
fumecheng-4407	209	44	)	)	PUNCT
fumecheng-4407	209	45	,	,	PUNCT
fumecheng-4407	209	46	pp	pp	ADP
fumecheng-4407	209	47	.	.	PUNCT
fumecheng-4407	210	1	953	953	NUM
fumecheng-4407	210	2	-	-	SYM
fumecheng-4407	210	3	960	960	NUM
fumecheng-4407	210	4	.	.	NOUN
fumecheng-4407	211	1	6	6	NUM
fumecheng-4407	211	2	.	.	X
fumecheng-4407	211	3	pakhaliuk	pakhaliuk	NOUN
fumecheng-4407	211	4	,	,	PUNCT
fumecheng-4407	211	5	v.	v.	PROPN
fumecheng-4407	211	6	,	,	PUNCT
fumecheng-4407	211	7	poliakov	poliakov	PROPN
fumecheng-4407	211	8	,	,	PUNCT
fumecheng-4407	211	9	a.	a.	NOUN
fumecheng-4407	211	10	,	,	PUNCT
fumecheng-4407	211	11	kalinin	kalinin	PROPN
fumecheng-4407	211	12	,	,	PUNCT
fumecheng-4407	211	13	m.	m.	NOUN
fumecheng-4407	211	14	,	,	PUNCT
fumecheng-4407	211	15	pashkov	pashkov	PROPN
fumecheng-4407	211	16	,	,	PUNCT
fumecheng-4407	211	17	y.	y.	PROPN
fumecheng-4407	211	18	,	,	PUNCT
fumecheng-4407	211	19	gadkov	gadkov	PROPN
fumecheng-4407	211	20	,	,	PUNCT
fumecheng-4407	211	21	p.	p.	NOUN
fumecheng-4407	211	22	,	,	PUNCT
fumecheng-4407	211	23	2016	2016	NUM
fumecheng-4407	211	24	,	,	PUNCT
fumecheng-4407	211	25	modifying	modify	VERB
fumecheng-4407	211	26	and	and	CCONJ
fumecheng-4407	211	27	expanding	expand	VERB
fumecheng-4407	211	28	the	the	DET
fumecheng-4407	211	29	simulation	simulation	NOUN
fumecheng-4407	211	30	of	of	ADP
fumecheng-4407	211	31	wear	wear	NOUN
fumecheng-4407	211	32	in	in	ADP
fumecheng-4407	211	33	the	the	DET
fumecheng-4407	211	34	spherical	spherical	ADJ
fumecheng-4407	211	35	joint	joint	NOUN
fumecheng-4407	211	36	with	with	ADP
fumecheng-4407	211	37	a	a	DET
fumecheng-4407	211	38	polymeric	polymeric	ADJ
fumecheng-4407	211	39	component	component	NOUN
fumecheng-4407	211	40	of	of	ADP
fumecheng-4407	211	41	the	the	DET
fumecheng-4407	211	42	total	total	ADJ
fumecheng-4407	211	43	hip	hip	NOUN
fumecheng-4407	211	44	prosthesis	prosthesis	NOUN
fumecheng-4407	211	45	,	,	PUNCT
fumecheng-4407	211	46	facta	facta	PROPN
fumecheng-4407	211	47	universitatis	universitatis	PROPN
fumecheng-4407	211	48	-	-	PUNCT
fumecheng-4407	211	49	series	series	NOUN
fumecheng-4407	211	50	mechanical	mechanical	ADJ
fumecheng-4407	211	51	engineering	engineering	NOUN
fumecheng-4407	211	52	,	,	PUNCT
fumecheng-4407	211	53	14(3	14(3	NUM
fumecheng-4407	211	54	)	)	PUNCT
fumecheng-4407	211	55	,	,	PUNCT
fumecheng-4407	211	56	pp	pp	PROPN
fumecheng-4407	211	57	.	.	PUNCT
fumecheng-4407	212	1	301	301	NUM
fumecheng-4407	212	2	-	-	SYM
fumecheng-4407	212	3	312	312	NUM
fumecheng-4407	212	4	.	.	PUNCT
fumecheng-4407	212	5	7	7	X
fumecheng-4407	212	6	.	.	X
fumecheng-4407	212	7	bräunling	bräunling	NOUN
fumecheng-4407	212	8	,	,	PUNCT
fumecheng-4407	212	9	w.	w.	PROPN
fumecheng-4407	212	10	,	,	PUNCT
fumecheng-4407	212	11	2015	2015	NUM
fumecheng-4407	212	12	,	,	PUNCT
fumecheng-4407	212	13	flugzeugtriebwerke	flugzeugtriebwerke	NOUN
fumecheng-4407	212	14	,	,	PUNCT
fumecheng-4407	212	15	3	3	X
fumecheng-4407	212	16	.	.	PUNCT
fumecheng-4407	213	1	ed	ed	NOUN
fumecheng-4407	213	2	,	,	PUNCT
fumecheng-4407	213	3	springer	springer	NOUN
fumecheng-4407	213	4	,	,	PUNCT
fumecheng-4407	213	5	berlin	berlin	PROPN
fumecheng-4407	213	6	.	.	PUNCT
fumecheng-4407	214	1	8	8	NUM
fumecheng-4407	214	2	.	.	X
fumecheng-4407	214	3	torenbeek	torenbeek	PROPN
fumecheng-4407	214	4	,	,	PUNCT
fumecheng-4407	214	5	e.	e.	PROPN
fumecheng-4407	214	6	,	,	PUNCT
fumecheng-4407	214	7	1982	1982	NUM
fumecheng-4407	214	8	,	,	PUNCT
fumecheng-4407	214	9	synthesis	synthesis	NOUN
fumecheng-4407	214	10	of	of	ADP
fumecheng-4407	214	11	subsonic	subsonic	ADJ
fumecheng-4407	214	12	airplane	airplane	NOUN
fumecheng-4407	214	13	design	design	NOUN
fumecheng-4407	214	14	,	,	PUNCT
fumecheng-4407	214	15	kluwer	kluwer	NOUN
fumecheng-4407	214	16	academic	academic	ADJ
fumecheng-4407	214	17	publishers	publisher	NOUN
fumecheng-4407	214	18	,	,	PUNCT
fumecheng-4407	214	19	dordrecht	dordrecht	PROPN
fumecheng-4407	214	20	.	.	PUNCT
fumecheng-4407	215	1	9	9	NUM
fumecheng-4407	215	2	.	.	X
fumecheng-4407	215	3	benad	benad	PROPN
fumecheng-4407	215	4	,	,	PUNCT
fumecheng-4407	215	5	j.	j.	PROPN
fumecheng-4407	215	6	,	,	PUNCT
fumecheng-4407	215	7	2019	2019	NUM
fumecheng-4407	215	8	,	,	PUNCT
fumecheng-4407	215	9	numerical	numerical	ADJ
fumecheng-4407	215	10	methods	method	NOUN
fumecheng-4407	215	11	for	for	ADP
fumecheng-4407	215	12	the	the	DET
fumecheng-4407	215	13	simulation	simulation	NOUN
fumecheng-4407	215	14	of	of	ADP
fumecheng-4407	215	15	deformations	deformation	NOUN
fumecheng-4407	215	16	and	and	CCONJ
fumecheng-4407	215	17	stresses	stress	NOUN
fumecheng-4407	215	18	in	in	ADP
fumecheng-4407	215	19	turbine	turbine	NOUN
fumecheng-4407	215	20	blade	blade	NOUN
fumecheng-4407	215	21	fir	fir	NOUN
fumecheng-4407	215	22	-	-	PUNCT
fumecheng-4407	215	23	tree	tree	NOUN
fumecheng-4407	215	24	connections	connection	NOUN
fumecheng-4407	215	25	,	,	PUNCT
fumecheng-4407	215	26	facta	facta	PROPN
fumecheng-4407	215	27	universitatis	universitatis	PROPN
fumecheng-4407	215	28	-	-	PUNCT
fumecheng-4407	215	29	series	series	NOUN
fumecheng-4407	215	30	mechanical	mechanical	ADJ
fumecheng-4407	215	31	engineering	engineering	NOUN
fumecheng-4407	215	32	,	,	PUNCT
fumecheng-4407	215	33	accepted	accept	VERB
fumecheng-4407	215	34	for	for	ADP
fumecheng-4407	215	35	publishing	publishing	NOUN
fumecheng-4407	215	36	.	.	PUNCT
fumecheng-4407	216	1	10	10	NUM
fumecheng-4407	216	2	.	.	X
fumecheng-4407	216	3	gaul	gaul	NOUN
fumecheng-4407	216	4	,	,	PUNCT
fumecheng-4407	216	5	l.	l.	PROPN
fumecheng-4407	216	6	,	,	PUNCT
fumecheng-4407	216	7	fiedler	fiedler	PROPN
fumecheng-4407	216	8	,	,	PUNCT
fumecheng-4407	216	9	c.	c.	PROPN
fumecheng-4407	216	10	,	,	PUNCT
fumecheng-4407	216	11	2013	2013	NUM
fumecheng-4407	216	12	,	,	PUNCT
fumecheng-4407	216	13	methode	methode	PROPN
fumecheng-4407	216	14	der	der	NOUN
fumecheng-4407	216	15	randelemente	randelemente	VERB
fumecheng-4407	216	16	in	in	ADP
fumecheng-4407	216	17	statik	statik	NOUN
fumecheng-4407	216	18	und	und	VERB
fumecheng-4407	216	19	dynamik	dynamik	ADJ
fumecheng-4407	216	20	,	,	PUNCT
fumecheng-4407	216	21	2	2	NUM
fumecheng-4407	216	22	ed	ed	NOUN
fumecheng-4407	216	23	,	,	PUNCT
fumecheng-4407	216	24	springer	springer	NOUN
fumecheng-4407	216	25	,	,	PUNCT
fumecheng-4407	216	26	berlin	berlin	PROPN
fumecheng-4407	216	27	.	.	PUNCT
fumecheng-4407	217	1	11	11	NUM
fumecheng-4407	217	2	.	.	PUNCT
fumecheng-4407	218	1	phillips	phillips	PROPN
fumecheng-4407	218	2	,	,	PUNCT
fumecheng-4407	218	3	j.	j.	PROPN
fumecheng-4407	218	4	,	,	PUNCT
fumecheng-4407	218	5	white	white	PROPN
fumecheng-4407	218	6	,	,	PUNCT
fumecheng-4407	218	7	k.	k.	PROPN
fumecheng-4407	218	8	,	,	PUNCT
fumecheng-4407	218	9	1997	1997	NUM
fumecheng-4407	218	10	,	,	PUNCT
fumecheng-4407	218	11	a	a	DET
fumecheng-4407	218	12	precorrected	precorrecte	VERB
fumecheng-4407	218	13	fft	fft	NOUN
fumecheng-4407	218	14	-	-	NOUN
fumecheng-4407	218	15	method	method	NOUN
fumecheng-4407	218	16	for	for	ADP
fumecheng-4407	218	17	electrostatic	electrostatic	ADJ
fumecheng-4407	218	18	analysis	analysis	NOUN
fumecheng-4407	218	19	of	of	ADP
fumecheng-4407	218	20	complicated	complicated	ADJ
fumecheng-4407	218	21	3	3	NUM
fumecheng-4407	218	22	-	-	PUNCT
fumecheng-4407	218	23	d	d	NOUN
fumecheng-4407	218	24	structures	structure	NOUN
fumecheng-4407	218	25	,	,	PUNCT
fumecheng-4407	218	26	ieee	ieee	NOUN
fumecheng-4407	218	27	transactions	transaction	NOUN
fumecheng-4407	218	28	on	on	ADP
fumecheng-4407	218	29	computer	computer	NOUN
fumecheng-4407	218	30	-	-	PUNCT
fumecheng-4407	218	31	aided	aid	VERB
fumecheng-4407	218	32	design	design	NOUN
fumecheng-4407	218	33	of	of	ADP
fumecheng-4407	218	34	integrated	integrated	ADJ
fumecheng-4407	218	35	circuits	circuit	NOUN
fumecheng-4407	218	36	and	and	CCONJ
fumecheng-4407	218	37	systems	system	NOUN
fumecheng-4407	218	38	,	,	PUNCT
fumecheng-4407	218	39	16(10	16(10	NOUN
fumecheng-4407	218	40	)	)	PUNCT
fumecheng-4407	218	41	,	,	PUNCT
fumecheng-4407	218	42	pp	pp	ADP
fumecheng-4407	218	43	.	.	PUNCT
fumecheng-4407	219	1	1059	1059	NUM
fumecheng-4407	219	2	-	-	SYM
fumecheng-4407	219	3	1072	1072	NUM
fumecheng-4407	219	4	.	.	PUNCT
fumecheng-4407	220	1	12	12	NUM
fumecheng-4407	220	2	.	.	PUNCT
fumecheng-4407	220	3	masters	master	NOUN
fumecheng-4407	220	4	,	,	PUNCT
fumecheng-4407	220	5	n.	n.	NOUN
fumecheng-4407	220	6	,	,	PUNCT
fumecheng-4407	220	7	ye	ye	PROPN
fumecheng-4407	220	8	,	,	PUNCT
fumecheng-4407	220	9	w.	w.	NOUN
fumecheng-4407	220	10	,	,	PUNCT
fumecheng-4407	220	11	2004	2004	NUM
fumecheng-4407	220	12	,	,	PUNCT
fumecheng-4407	220	13	fast	fast	ADJ
fumecheng-4407	220	14	bem	bem	NOUN
fumecheng-4407	220	15	solution	solution	NOUN
fumecheng-4407	220	16	for	for	ADP
fumecheng-4407	220	17	coupled	couple	VERB
fumecheng-4407	220	18	electrostatic	electrostatic	ADJ
fumecheng-4407	220	19	and	and	CCONJ
fumecheng-4407	220	20	linear	linear	ADJ
fumecheng-4407	220	21	elastic	elastic	ADJ
fumecheng-4407	220	22	problems	problem	NOUN
fumecheng-4407	220	23	,	,	PUNCT
fumecheng-4407	220	24	nsti	nsti	NOUN
fumecheng-4407	220	25	-	-	PUNCT
fumecheng-4407	220	26	nanotech	nanotech	NOUN
fumecheng-4407	220	27	,	,	PUNCT
fumecheng-4407	220	28	2	2	NUM
fumecheng-4407	220	29	,	,	PUNCT
fumecheng-4407	220	30	pp	pp	ADJ
fumecheng-4407	220	31	.	.	PUNCT
fumecheng-4407	221	1	426	426	NUM
fumecheng-4407	221	2	-	-	SYM
fumecheng-4407	221	3	429	429	NUM
fumecheng-4407	221	4	.	.	PUNCT
fumecheng-4407	222	1	efficient	efficient	ADJ
fumecheng-4407	222	2	calculation	calculation	NOUN
fumecheng-4407	222	3	of	of	ADP
fumecheng-4407	222	4	the	the	DET
fumecheng-4407	222	5	bem	bem	NOUN
fumecheng-4407	222	6	integrals	integral	NOUN
fumecheng-4407	222	7	on	on	ADP
fumecheng-4407	222	8	arbitrary	arbitrary	ADJ
fumecheng-4407	222	9	shapes	shape	NOUN
fumecheng-4407	222	10	with	with	ADP
fumecheng-4407	222	11	the	the	DET
fumecheng-4407	222	12	fft	fft	NOUN
fumecheng-4407	222	13	417	417	NUM
fumecheng-4407	222	14	13	13	NUM
fumecheng-4407	222	15	.	.	PUNCT
fumecheng-4407	223	1	lim	lim	PROPN
fumecheng-4407	223	2	,	,	PUNCT
fumecheng-4407	223	3	k.	k.	PROPN
fumecheng-4407	223	4	,	,	PUNCT
fumecheng-4407	223	5	he	he	PRON
fumecheng-4407	223	6	,	,	PUNCT
fumecheng-4407	223	7	x.	x.	PROPN
fumecheng-4407	223	8	,	,	PUNCT
fumecheng-4407	223	9	lim	lim	PROPN
fumecheng-4407	223	10	,	,	PUNCT
fumecheng-4407	223	11	s.	s.	PROPN
fumecheng-4407	223	12	,	,	PUNCT
fumecheng-4407	223	13	2008	2008	NUM
fumecheng-4407	223	14	,	,	PUNCT
fumecheng-4407	223	15	fast	fast	ADJ
fumecheng-4407	223	16	fourier	fourier	NOUN
fumecheng-4407	223	17	transform	transform	NOUN
fumecheng-4407	223	18	on	on	ADP
fumecheng-4407	223	19	multipoles	multipole	NOUN
fumecheng-4407	223	20	(	(	PUNCT
fumecheng-4407	223	21	fftm	fftm	NOUN
fumecheng-4407	223	22	)	)	PUNCT
fumecheng-4407	223	23	algorithm	algorithm	NOUN
fumecheng-4407	223	24	for	for	ADP
fumecheng-4407	223	25	laplace	laplace	NOUN
fumecheng-4407	223	26	equation	equation	NOUN
fumecheng-4407	223	27	with	with	ADP
fumecheng-4407	223	28	direct	direct	ADJ
fumecheng-4407	223	29	and	and	CCONJ
fumecheng-4407	223	30	indirect	indirect	ADJ
fumecheng-4407	223	31	boundary	boundary	ADJ
fumecheng-4407	223	32	element	element	NOUN
fumecheng-4407	223	33	method	method	NOUN
fumecheng-4407	223	34	,	,	PUNCT
fumecheng-4407	223	35	computational	computational	ADJ
fumecheng-4407	223	36	mechanics	mechanic	NOUN
fumecheng-4407	223	37	,	,	PUNCT
fumecheng-4407	223	38	41	41	NUM
fumecheng-4407	223	39	,	,	PUNCT
fumecheng-4407	223	40	pp	pp	ADJ
fumecheng-4407	223	41	.	.	PUNCT
fumecheng-4407	224	1	313	313	NUM
fumecheng-4407	224	2	-	-	SYM
fumecheng-4407	224	3	323	323	NUM
fumecheng-4407	224	4	.	.	PUNCT
fumecheng-4407	225	1	14	14	NUM
fumecheng-4407	225	2	.	.	PUNCT
fumecheng-4407	226	1	benedetti	benedetti	PROPN
fumecheng-4407	226	2	,	,	PUNCT
fumecheng-4407	226	3	i.	i.	PROPN
fumecheng-4407	226	4	,	,	PUNCT
fumecheng-4407	226	5	aliabadi	aliabadi	NOUN
fumecheng-4407	226	6	,	,	PUNCT
fumecheng-4407	226	7	m.	m.	NOUN
fumecheng-4407	226	8	,	,	PUNCT
fumecheng-4407	226	9	davi	davi	PROPN
fumecheng-4407	226	10	,	,	PUNCT
fumecheng-4407	226	11	g.	g.	PROPN
fumecheng-4407	226	12	,	,	PUNCT
fumecheng-4407	226	13	2008	2008	NUM
fumecheng-4407	226	14	,	,	PUNCT
fumecheng-4407	226	15	a	a	DET
fumecheng-4407	226	16	fast	fast	ADJ
fumecheng-4407	226	17	3d	3d	NOUN
fumecheng-4407	226	18	dual	dual	ADJ
fumecheng-4407	226	19	boundary	boundary	ADJ
fumecheng-4407	226	20	element	element	NOUN
fumecheng-4407	226	21	method	method	NOUN
fumecheng-4407	226	22	based	base	VERB
fumecheng-4407	226	23	on	on	ADP
fumecheng-4407	226	24	hierarchical	hierarchical	ADJ
fumecheng-4407	226	25	matrices	matrix	NOUN
fumecheng-4407	226	26	,	,	PUNCT
fumecheng-4407	226	27	international	international	ADJ
fumecheng-4407	226	28	journal	journal	NOUN
fumecheng-4407	226	29	of	of	ADP
fumecheng-4407	226	30	solids	solid	NOUN
fumecheng-4407	226	31	and	and	CCONJ
fumecheng-4407	226	32	structures	structure	NOUN
fumecheng-4407	226	33	,	,	PUNCT
fumecheng-4407	226	34	45(7	45(7	NUM
fumecheng-4407	226	35	-	-	SYM
fumecheng-4407	226	36	8)	8)	NUM
fumecheng-4407	226	37	,	,	PUNCT
fumecheng-4407	226	38	pp	pp	ADJ
fumecheng-4407	226	39	.	.	PUNCT
fumecheng-4407	226	40	2355	2355	NUM
fumecheng-4407	226	41	-	-	SYM
fumecheng-4407	226	42	2376	2376	NUM
fumecheng-4407	226	43	.	.	PUNCT
fumecheng-4407	227	1	15	15	NUM
fumecheng-4407	227	2	.	.	PUNCT
fumecheng-4407	227	3	benad	benad	PROPN
fumecheng-4407	227	4	,	,	PUNCT
fumecheng-4407	227	5	j.	j.	PROPN
fumecheng-4407	227	6	,	,	PUNCT
fumecheng-4407	227	7	2018	2018	NUM
fumecheng-4407	227	8	,	,	PUNCT
fumecheng-4407	227	9	acceleration	acceleration	NOUN
fumecheng-4407	227	10	of	of	ADP
fumecheng-4407	227	11	the	the	DET
fumecheng-4407	227	12	boundary	boundary	ADJ
fumecheng-4407	227	13	element	element	NOUN
fumecheng-4407	227	14	method	method	NOUN
fumecheng-4407	227	15	for	for	ADP
fumecheng-4407	227	16	arbitrary	arbitrary	ADJ
fumecheng-4407	227	17	shapes	shape	NOUN
fumecheng-4407	227	18	with	with	ADP
fumecheng-4407	227	19	the	the	DET
fumecheng-4407	227	20	fast	fast	ADJ
fumecheng-4407	227	21	fourier	fourier	NOUN
fumecheng-4407	227	22	transformation	transformation	NOUN
fumecheng-4407	227	23	,	,	PUNCT
fumecheng-4407	227	24	arxiv	arxiv	PROPN
fumecheng-4407	227	25	preprint	preprint	NOUN
fumecheng-4407	227	26	arxiv:1809.00845	arxiv:1809.00845	NOUN
fumecheng-4407	227	27	.	.	PUNCT