122 citations · 228 across the 4 of their papers we have counts for
4 papers
A finite element perspective on non-linear FFT-based micromechanical simulations
Jan Zeman, Tom W. J. de Geus, Jaroslav Vondřejc +2
Fourier solvers have become efficient tools to establish structure-property relations in heterogeneous materials. Introduced as an alternative to the Finite Element (FE) method, th…
Shape optimization of phononic band gap structures using the homogenization approach
Jaroslav Vondřejc, Eduard Rohan, Jan Heczko
The paper deals with optimization of the acoustic band gaps computed using the homogenized model of strongly heterogeneous elastic composite which is constituted by soft inclusions…
Improved guaranteed computable bounds on homogenized properties of periodic media by Fourier-Galerkin method with exact integration
Jaroslav Vondřejc
Moulinec and Suquet introduced FFT-based homogenization in 1994, and twenty years later, their approach is still effective for evaluating the homogenized properties arising from th…
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…