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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F11%3A00181243%21RIV12-MSM-21110___
rdf:type
n4:Vysledek skos:Concept
rdfs:seeAlso
http://www.ugn.cas.cz/index.php?l=cz&a=&p=events/2011/sna/index.php
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 Method for Modelling of Heterogeneous Materials Fast Fourier Transform based Method for Modelling of Heterogeneous Materials
skos:prefLabel
Fast Fourier Transform based Method for Modelling of Heterogeneous Materials Fast Fourier Transform based Method for Modelling of Heterogeneous Materials
skos:notation
RIV/68407700:21110/11:00181243!RIV12-MSM-21110___
n4:predkladatel
n20:orjk%3A21110
n3:aktivita
n22:S n22:P
n3:aktivity
P(GA103/09/1748), P(GP103/09/P490), S
n3:dodaniDat
n6:2012
n3:domaciTvurceVysledku
n7:4695046 n7:3072029 n7:8216118
n3:druhVysledku
n16:D
n3:duvernostUdaju
n23:S
n3:entitaPredkladatele
n13:predkladatel
n3:idSjednocenehoVysledku
199363
n3:idVysledku
RIV/68407700:21110/11:00181243
n3:jazykVysledku
n12:eng
n3:klicovaSlova
Heterogeneous materials, FFT
n3:klicoveSlovo
n18:FFT n18:Heterogeneous%20materials
n3:kontrolniKodProRIV
[4B69D16CA0BA]
n3:mistoKonaniAkce
Rožnov pod Radhoštěm
n3:mistoVydani
Ostrava
n3:nazevZdroje
SNA'11 Seminar on Numerical Analysis. Modelling and Simulation of Challenging Engineering Problems
n3:obor
n14:JI
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:projekt
n8:GP103%2F09%2FP490 n8:GA103%2F09%2F1748
n3:rokUplatneniVysledku
n6:2011
n3:tvurceVysledku
Vondřejc, Jaroslav Marek, Ivo Zeman, Jan
n3:typAkce
n21:EUR
n3:zahajeniAkce
2011-01-24+01:00
s:numberOfPages
3
n10:hasPublisher
Ústav geoniky AV ČR
n15:isbn
978-80-86407-19-7
n19:organizacniJednotka
21110