FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F13%3APU110911" target="_blank" >RIV/00216305:26110/13:PU110911 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients

Popis výsledku v původním jazyce

In 1994, Moulinec and Suquet introduced, as an alternative to traditional Finite Element schemes, a new approach to the numerical homogenization of deterministic periodic media based on the Fast Fourier Transforms. The method builds on an iterative solution to an integral equation of the Lippmann-Schwinger type for the unit cell problem, with a kernel whose action can be efficiently evaluated in the Fourier space. Since then, several improvements of the basic scheme have been proposed, successfully applied to diverse problems, are extended to a stochastic framework. The aim of this contribution is to summarize our recent work on the analysis of the original Moulinec-Suquet scheme.

Název v anglickém jazyce

FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients

Popis výsledku anglicky

In 1994, Moulinec and Suquet introduced, as an alternative to traditional Finite Element schemes, a new approach to the numerical homogenization of deterministic periodic media based on the Fast Fourier Transforms. The method builds on an iterative solution to an integral equation of the Lippmann-Schwinger type for the unit cell problem, with a kernel whose action can be efficiently evaluated in the Fourier space. Since then, several improvements of the basic scheme have been proposed, successfully applied to diverse problems, are extended to a stochastic framework. The aim of this contribution is to summarize our recent work on the analysis of the original Moulinec-Suquet scheme.

Druh

O - Ostatní výsledky

CEP obor

JM - Inženýrské stavitelství

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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