17 citations · 45 across the 6 of their papers we have counts for
7 papers
Homogenization with Guaranteed Bounds via Primal-Dual Physically Informed Neural Networks
Liya Gaynutdinova, Martin Doškář, Ondřej Rokoš +1
Physics-informed neural networks (PINNs) have shown promise in solving partial differential equations (PDEs) relevant to multiscale modeling, but they often fail when applied to ma…
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…
Generalized spectrum of second order differential operators: 3D problems
Ivana Pultarova
Generalized spectra of differential operators can be related to spectra of preconditioned discretized operators. Obtaining (estimates of) the eigenvalues of the preconditioned disc…
Bayesian Approach to Micromechanical Parameter Identification Using Integrated Digital Image Correlation
Liya Gaynutdinova, Ondřej Rokoš, Jan Havelka +2
Materials with heterogeneous structures exhibit complex physical processes such as delamination, cracks, and plasticity, which require micromechanical parameters for understanding.…
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.…
Block preconditioning of stochastic Galerkin problems: New two-sided guaranteed spectral bounds
Marie Kubínová, Ivana Pultarová
The paper focuses on numerical solution of parametrized diffusion equations with scalar parameter-dependent coefficient function by the stochastic (spectral) Galerkin method. We st…