Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F11%3A00182131" target="_blank" >RIV/68407700:21110/11:00182131 - isvavai.cz</a>

Výsledek na webu

<a href="http://parallel.bas.bg/Conferences/SciCom11.html" target="_blank" >http://parallel.bas.bg/Conferences/SciCom11.html</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials

Popis výsledku v původním jazyce

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 integralequation 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 tosetting of internal parameters and a significant increase of the convergence rate for problems with high-contrast coefficients at a negligible overhead cost per iteration.

Název v anglickém jazyce

Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials

Popis výsledku anglicky

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 integralequation 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 tosetting of internal parameters and a significant increase of the convergence rate for problems with high-contrast coefficients at a negligible overhead cost per iteration.

Druh

O - Ostatní výsledky

CEP obor

JI - Kompositní materiály

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů