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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.
- 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. (en)
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Title
| - FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients
- FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients (en)
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skos:prefLabel
| - FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients
- FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients (en)
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skos:notation
| - RIV/00216305:26110/13:PU110911!RIV15-MSM-26110___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216305:26110/13:PU110911
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - FET-based method, finite element formulation (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...ontrolniKodProRIV
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...iv/tvurceVysledku
| - Marek, Ivo
- Novák, Jan
- Vondřejc, Jaroslav
- Zeman, Jan
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http://localhost/t...ganizacniJednotka
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