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math.NA2025
A structure-preserving semi-implicit four-split scheme for continuum mechanics
Michael Dumbser, Andrea Thomann, Maurizio Tavelli +1
We introduce a novel structure-preserving vertex-staggered semi-implicit four-split discretization of a unified first order hyperbolic formulation of continuum mechanics that is ab…
math.NA2025
Semi-implicit relaxed finite volume schemes for hyperbolic multi-scale systems of conservation laws
Andrea Thomann
In this paper a new semi-implicit relaxation scheme for the simulation of multi-scale hyperbolic conservation laws based on a Jin-Xin relaxation approach is presented. It is based…
math.NA2024
A structure-preserving semi-implicit IMEX finite volume scheme for ideal magnetohydrodynamics at all Mach and Alfvén numbers
Walter Boscheri, Andrea Thomann
We present a divergence-free semi-implicit finite volume scheme for the simulation of the ideal magnetohydrodynamics (MHD) equations which is stable for large time steps controlled…