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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…
math.NA2024★ 2 cited
Robust fully discrete error bounds for the Kuznetsov equation in the inviscid limit
Benjamin Dörich, Vanja Nikolić
The Kuznetsov equation is a classical wave model of acoustics that incorporates quadratic gradient nonlinearities. When its strong damping vanishes, it undergoes a singular behavio…