1 citations · 1 across the 2 of their papers we have counts for
3 papers
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…
Efficient numerical method for reliable upper and lower bounds on homogenized parameters
Liya Gaynutdinova, Martin Ladecký, Aleš Nekvinda +2
A numerical procedure providing guaranteed two-sided bounds on the effective coefficients of elliptic partial differential operators is presented. The upper bounds are obtained in…
Optimal FFT-accelerated Finite Element Solver for Homogenization
Martin Ladecký, Richard J. Leute, Ali Falsafi +4
We propose a matrix-free finite element (FE) homogenization scheme that is considerably more efficient than generic FE implementations. The efficiency of our scheme follows from a…