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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F10%3A00169425%21RIV11-GA0-21110___
rdf:type
n4:Vysledek skos:Concept
dcterms:description
In this contribution, we present a new approach to accelerating the convergence of a FFT-based solver for numerical homogenization of complex periodic media proposed by Moulinec and Suquet. The approach relies on discretization of the governing integral equation by the trigonometric collocation method due to Vainikko, resulting in a linear system which can be efficiently solved using conjugate gradient methods. Computational experiments presented below confirm robustness of the algorithm with respect to setting of internal parameters and a significant increase of the convergence rate for problems with high-contrast coefficients at a negligible overhead cost per iteration. In this contribution, we present a new approach to accelerating the convergence of a FFT-based solver for numerical homogenization of complex periodic media proposed by Moulinec and Suquet. The approach relies on discretization of the governing integral equation by the trigonometric collocation method due to Vainikko, resulting in a linear system which can be efficiently solved using conjugate gradient methods. Computational experiments presented below confirm robustness of the algorithm with respect to setting of internal parameters and a significant increase of the convergence rate for problems with high-contrast coefficients at a negligible overhead cost per iteration.
dcterms:title
Fast Fourier Transform based homogenization solved by iterative solvers Fast Fourier Transform based homogenization solved by iterative solvers
skos:prefLabel
Fast Fourier Transform based homogenization solved by iterative solvers Fast Fourier Transform based homogenization solved by iterative solvers
skos:notation
RIV/68407700:21110/10:00169425!RIV11-GA0-21110___
n5:aktivita
n19:S n19:P
n5:aktivity
P(GA103/09/1748), P(GP103/09/P490), S
n5:dodaniDat
n13:2011
n5:domaciTvurceVysledku
n11:4695046 n11:8216118
n5:druhVysledku
n20:D
n5:duvernostUdaju
n14:S
n5:entitaPredkladatele
n18:predkladatel
n5:idSjednocenehoVysledku
258827
n5:idVysledku
RIV/68407700:21110/10:00169425
n5:jazykVysledku
n8:eng
n5:klicovaSlova
numerical homogenization; FFT-based solvers; trigonometric collocation method; conjugate gradient solvers
n5:klicoveSlovo
n7:numerical%20homogenization n7:conjugate%20gradient%20solvers n7:trigonometric%20collocation%20method n7:FFT-based%20solvers
n5:kontrolniKodProRIV
[BF89515F9767]
n5:mistoKonaniAkce
Praha
n5:mistoVydani
Praha
n5:nazevZdroje
Proceedings of International Conference on Modelling and Simulation 2010 in Prague
n5:obor
n21:JI
n5:pocetDomacichTvurcuVysledku
2
n5:pocetTvurcuVysledku
2
n5:projekt
n15:GA103%2F09%2F1748 n15:GP103%2F09%2FP490
n5:rokUplatneniVysledku
n13:2010
n5:tvurceVysledku
Vondřejc, Jaroslav Zeman, Jan
n5:typAkce
n17:EUR
n5:zahajeniAkce
2010-06-22+02:00
s:numberOfPages
3
n12:hasPublisher
České vysoké učení technické v Praze
n6:isbn
978-80-01-04574-9
n3:organizacniJednotka
21110