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 (CoRR, 2020)

Two-sided guaranteed bounds to individual eigenvalues of preconditioned finite element and finite difference problems. - Ivana Pultarová; Martin Ladecký (Numer. Linear Algebra Appl., 2021)

Optimal FFT-accelerated Finite Element Solver for Homogenization. - Martin Ladecký; Richard J. Leute; Ali Falsafi; Ivana Pultarová; Lars Pastewka; Till Junge; Jan Zeman (CoRR, 2022)

Non-convex, ringing-free, FFT-accelerated solver using an incremental approximate energy functional. - Ali Falsafi; Richard J. Leute; Martin Ladecký; Till Junge (CoRR, 2022)

Efficient numerical method for reliable upper and lower bounds on homogenized parameters. - Liya Gaynutdinova; Martin Ladecký; Ales Nekvinda; Ivana Pultarová; Jan Zeman (CoRR, 2022)

Elimination of ringing artifacts by finite-element projection in FFT-based homogenization. - Richard J. Leute; Martin Ladecký; Ali Falsafi; Indre Jödicke; Ivana Pultarová; Jan Zeman; Till Junge; Lars Pastewka (J. Comput. Phys., 2022)

An optimal preconditioned FFT-accelerated finite element solver for homogenization. - Martin Ladecký; Richard J. Leute; Ali Falsafi; Ivana Pultarová; Lars Pastewka; Till Junge; Jan Zeman (Appl. Math. Comput., 2023)

Preconditioned discontinuous Galerkin method and convection-diffusion-reaction problems with guaranteed bounds to resulting spectra. - Liya Gaynutdinova; Martin Ladecký; Ivana Pultarová; Miloslav Vlasák; Jan Zeman (Numer. Linear Algebra Appl., 2024)