2 papers
math.NA2026
Robust spectral preconditioning for high-Péclet number convection-diffusion
Lukas Holbach, Peter Bastian, Robert Scheichl
We introduce a two-level hybrid restricted additive Schwarz (RAS) preconditioner for heterogeneous steady-state convection-diffusion equations at high Péclet numbers. Our construc…
math.NA2026
Multiscale Spectral Generalized Finite Element Methods for Discontinuous Galerkin Schemes
Christian Alber, Lukas Holbach
We propose a multiscale spectral generalized finite element method (MS-GFEM) for discontinuous Galerkin (DG) discretizations. The method builds local approximations on overlapping…