An FFT-based Galerkin method for homogenization of periodic media

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F14%3A00219204" target="_blank" >RIV/68407700:21110/14:00219204 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/14:86092233 RIV/49777513:23520/14:43922909
Result on the web
<a href="http://arxiv.org/abs/1311.0089" target="_blank" >http://arxiv.org/abs/1311.0089</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2014.05.014" target="_blank" >10.1016/j.camwa.2014.05.014</a>

Result language
angličtina
Original language name
An FFT-based Galerkin method for homogenization of periodic media
Original language description
In 1994, Moulinec and Suquet introduced an efficient technique for the numerical resolution of the cell problem arising in homogenization of periodic media. The scheme is based on a fixed-point iterative solution to an integral equation of the Lippmann?Schwinger type, with action of its kernel efficiently evaluated by the Fast Fourier Transform techniques. The aim of this work is to demonstrate that the Moulinec?Suquet setting is actually equivalent to a Galerkin discretization of the cell problem, based on approximation spaces spanned by trigonometric polynomials and a suitable numerical integration scheme. For the latter framework and scalar elliptic problems, we prove convergence of the approximate solution to the weak solution, including a-priori estimates for the rate of convergence for sufficiently regular data and the effects of numerical integration. Moreover, we also show that the variational structure implies that the resulting non-symmetric system of linear equations can be
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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