20 citations · 50 across the 4 of their papers we have counts for
5 papers
Jacobi-accelerated FFT-based solver for smooth high-contrast data
Martin Ladecký, Ivana Pultarová, François Bignonnet +3
The computational efficiency and rapid convergence of fast Fourier transform (FFT)-based solvers render them a powerful numerical tool for periodic cell problems in multiscale mode…
Preconditioned discontinuous Galerkin method and convection-diffusion-reaction problems with guaranteed bounds to resulting spectra
Liya Gaynutdinova, Martin Ladecký, Ivana Pultarová +2
This paper focuses on the design, analysis and implementation of a new preconditioning concept for linear second order partial differential equations, including the convection-diff…
Elimination of ringing artifacts by finite-element projection in FFT-based homogenization
Richard J. Leute, Martin Ladecký, Ali Falsafi +5
Micromechanical homogenization is often carried out with Fourier-accelerated methods that are prone to ringing artifacts. We here generalize the compatibility projection introduced…
Guaranteed two-sided bounds on all eigenvalues of preconditioned diffusion and elasticity problems solved by the finite element method
Martin Ladecký, Ivana Pultarová, Jan Zeman
A method of estimating all eigenvalues of a preconditioned discretized scalar diffusion operator with Dirichlet boundary conditions has been recently introduced in T. Gergelits, K.…
FFT-based homogenisation accelerated by low-rank tensor approximations
Jaroslav Vondřejc, Dishi Liu, Martin Ladecký +1
Fast Fourier transform (FFT) based methods have turned out to be an effective computational approach for numerical homogenisation. In particular, Fourier-Galerkin methods are compu…