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Statements

Subject Item
n2:RIV%2F68407700%3A21110%2F12%3A00188282%21RIV14-MSM-21110___
rdf:type
n9:Vysledek skos:Concept
dcterms:description
The focus of this paper is on the analysis of the Conjugate Gradient method applied to a non-symmetric system of linear equations, arising from a Fast Fourier Transform-based homogenization method due to Moulinec and Suquet [1]. Convergence of the method is proven by exploiting a certain projection operator reflecting physics of the underlying problem. These results are supported by a numerical example, demonstrating significant improvement of the Conjugate Gradient-based scheme over the original Moulinec-Suquet algorithm. The focus of this paper is on the analysis of the Conjugate Gradient method applied to a non-symmetric system of linear equations, arising from a Fast Fourier Transform-based homogenization method due to Moulinec and Suquet [1]. Convergence of the method is proven by exploiting a certain projection operator reflecting physics of the underlying problem. These results are supported by a numerical example, demonstrating significant improvement of the Conjugate Gradient-based scheme over the original Moulinec-Suquet algorithm.
dcterms:title
Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials
skos:prefLabel
Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials
skos:notation
RIV/68407700:21110/12:00188282!RIV14-MSM-21110___
n9:predkladatel
n15:orjk%3A21110
n3:aktivita
n18:S n18:P
n3:aktivity
P(GA103/09/1748), P(GP103/09/P490), S
n3:dodaniDat
n7:2014
n3:domaciTvurceVysledku
n8:8216118 n8:3072029 n8:4695046
n3:druhVysledku
n23:D
n3:duvernostUdaju
n14:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
122075
n3:idVysledku
RIV/68407700:21110/12:00188282
n3:jazykVysledku
n21:eng
n3:klicovaSlova
Homogenization; Fast Fourier Transform; Conjugate Gradients
n3:klicoveSlovo
n10:Conjugate%20Gradients n10:Fast%20Fourier%20Transform n10:Homogenization
n3:kontrolniKodProRIV
[79B41517A65F]
n3:mistoKonaniAkce
Sozopol
n3:mistoVydani
Berlin
n3:nazevZdroje
Large-Scale Scientific Computing: Revised Selected Papers
n3:obor
n22:JI
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:projekt
n4:GP103%2F09%2FP490 n4:GA103%2F09%2F1748
n3:rokUplatneniVysledku
n7:2012
n3:tvurceVysledku
Vondřejc, Jaroslav Marek, Ivo Zeman, Jan
n3:typAkce
n20:WRD
n3:zahajeniAkce
2011-06-06+02:00
s:issn
0302-9743
s:numberOfPages
8
n11:doi
10.1007/978-3-642-29843-1
n19:hasPublisher
Springer-Verlag
n13:isbn
978-3-642-29842-4
n17:organizacniJednotka
21110