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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F10%3A00169181%21RIV11-GA0-21110___
rdf:type
n16:Vysledek skos:Concept
dcterms:description
In this short note, we present a new technique to accelerate the convergence of a FFT-based solver for numerical homogenization of complex periodic media proposed by Moulinec and Suquet. The approach proceeds from discretization of the governing integral equation by the trigonometric collocation method due to Vainikko, to give a linear system which can be efficiently solved by conjugate gradient methods. Computational experiments confirm robustness of the algorithm with respect to its internal parameters and demonstrate significant increase of the convergence rate for problems with high-contrast coefficients at a low overhead per iteration. In this short note, we present a new technique to accelerate the convergence of a FFT-based solver for numerical homogenization of complex periodic media proposed by Moulinec and Suquet. The approach proceeds from discretization of the governing integral equation by the trigonometric collocation method due to Vainikko, to give a linear system which can be efficiently solved by conjugate gradient methods. Computational experiments confirm robustness of the algorithm with respect to its internal parameters and demonstrate significant increase of the convergence rate for problems with high-contrast coefficients at a low overhead per iteration.
dcterms:title
Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients
skos:prefLabel
Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients
skos:notation
RIV/68407700:21110/10:00169181!RIV11-GA0-21110___
n3:aktivita
n4:P n4:S
n3:aktivity
P(GA103/09/1748), P(GA201/09/1544), P(GP103/09/P490), S
n3:cisloPeriodika
21
n3:dodaniDat
n8:2011
n3:domaciTvurceVysledku
n5:8216118 n5:4695046 n5:1374249 n5:3072029
n3:druhVysledku
n13:J
n3:duvernostUdaju
n17:S
n3:entitaPredkladatele
n12:predkladatel
n3:idSjednocenehoVysledku
245159
n3:idVysledku
RIV/68407700:21110/10:00169181
n3:jazykVysledku
n11:eng
n3:klicovaSlova
Numerical homogenization; FFT-based solvers; Trigonometric collocation method; Conjugate gradient solvers
n3:klicoveSlovo
n14:Trigonometric%20collocation%20method n14:Numerical%20homogenization n14:Conjugate%20gradient%20solvers n14:FFT-based%20solvers
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[7C8C87DAC1F2]
n3:nazevZdroje
Journal of Computational Physics
n3:obor
n6:JI
n3:pocetDomacichTvurcuVysledku
4
n3:pocetTvurcuVysledku
4
n3:projekt
n15:GA103%2F09%2F1748 n15:GA201%2F09%2F1544 n15:GP103%2F09%2FP490
n3:rokUplatneniVysledku
n8:2010
n3:svazekPeriodika
229
n3:tvurceVysledku
Novák, Jan Vondřejc, Jaroslav Marek, Ivo Zeman, Jan
n3:wos
000282118500001
s:issn
0021-9991
s:numberOfPages
7
n18:organizacniJednotka
21110