FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients
The result's identifiers
Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients
Original language description
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.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
JM - Structural engineering
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů