272 citations · 491 across the 3 of their papers we have counts for
4 papers
Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method
Jaroslav Vondřejc, Jan Zeman, Ivo Marek
Guaranteed upper-lower bounds on homogenized coefficients, arising from the periodic cell problem, are calculated in a scalar elliptic setting. Our approach builds on the recent va…
An FFT-based Galerkin Method for Homogenization of Periodic Media
Jaroslav Vondřejc, Jan Zeman, Ivo Marek
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…
Analysis of a Fast Fourier Transform Based Method for Modeling of Heterogeneous Materials
J. Vondřejc, J. Zeman, I. Marek
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 homog…
Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients
J. Zeman, J. Vondřejc, J. Novák +1
In this short note, we present a new technique to accelerate the convergence of a FFT-based solver for numerical homogenization of complex periodic media proposed by Moulinec and S…