"Nov\u00E1k, Jan" . . "4"^^ . . "RIV/00216305:26110/13:PU110911!RIV15-MSM-26110___" . "26110" . "Marek, Ivo" . "RIV/00216305:26110/13:PU110911" . . "Vond\u0159ejc, Jaroslav" . . . . "[7D2A461DC9E3]" . "FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients" . . "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." . "FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients" . "1"^^ . "FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients"@en . "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 . . "FET-based method for homogenization of periodic media: Finite element formulation and reliable error bounds on homogenized coefficients"@en . . . "74910" . . "FET-based method, finite element formulation"@en . "I" . "Zeman, Jan" . . .