3 papers
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.AP2026
Well-posedness, regularity and stability for linear Maxwell's equations with interface damping
Julian Dörner, Serge Nicaise, Roland Schnaubelt
We study linear Maxwell's equations on a cuboid that is split into two parts by a planar interface, across which the tangential magnetic field jumps proportionally to the tangentia…
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…