Workshop on Numerical Methods and Analysis in CFD - Abstract

Wieners, Christian

Space-time discontinuous Galerkin methods for weak solutions of hyperbolic linear symmetric Friedrichs systems

We study weak solutions and its approximation of hyperbolic linear symmetric Friedrichs systems describing acoustic, elastic, or electro-magnetic waves. Stability and convergence estimates are provided for a discontinuous Galerkin discretization in space and time with respect to a mesh-dependent DG norm, where we also consider the case of piecewise discontinuous weak solutions. A reliable error estimator is constructed, and numerical results demonstrate the efficiency of the approach.
This is a joint work with Daniele Corallo and Willy Dörfler.