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math.NA2026
Leapfrog Crank--Nicolson decoupling of wave--heat-type problems
Benjamin Dörich, Julian Dörner
This paper proposes and analyzes a numerical method for coupled wave-heat systems that arise, for example, in visco-elasticity with memory, thermo-elastic wave propagation with fin…
math.NA2024
Error analysis of DGTD for linear Maxwell equations with inhomogeneous interface conditions
Benjamin Dörich, Julian Dörner, Marlis Hochbruck
In the present paper we consider linear and isotropic Maxwell equations with inhomogeneous interface conditions. We discretize the problem with the discontinuous Galerkin method in…