. "0302-9743" . "3"^^ . "[79B41517A65F]" . "Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials"@en . . . . . . . "10.1007/978-3-642-29843-1" . "8"^^ . . "Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials" . . "Sozopol" . . "122075" . "The focus of this paper is on the analysis of the Conjugate Gradient method applied to a non-symmetric system of linear equations, arising from a Fast Fourier Transform-based homogenization method due to Moulinec and Suquet [1]. Convergence of the method is proven by exploiting a certain projection operator reflecting physics of the underlying problem. These results are supported by a numerical example, demonstrating significant improvement of the Conjugate Gradient-based scheme over the original Moulinec-Suquet algorithm." . "Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials"@en . "Berlin" . "978-3-642-29842-4" . . "Vond\u0159ejc, Jaroslav" . "P(GA103/09/1748), P(GP103/09/P490), S" . "RIV/68407700:21110/12:00188282!RIV14-MSM-21110___" . "The focus of this paper is on the analysis of the Conjugate Gradient method applied to a non-symmetric system of linear equations, arising from a Fast Fourier Transform-based homogenization method due to Moulinec and Suquet [1]. Convergence of the method is proven by exploiting a certain projection operator reflecting physics of the underlying problem. These results are supported by a numerical example, demonstrating significant improvement of the Conjugate Gradient-based scheme over the original Moulinec-Suquet algorithm."@en . "Marek, Ivo" . . . "2011-06-06+02:00"^^ . . "21110" . . . "Zeman, Jan" . "Springer-Verlag" . . "Homogenization; Fast Fourier Transform; Conjugate Gradients"@en . "RIV/68407700:21110/12:00188282" . . . "Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials" . "Large-Scale Scienti\uFB01c Computing: Revised Selected Papers" . . "3"^^ . .