A space-time discontinuous Galerkin method for the elastic wave equation

Code:
43/2019
Title:
A space-time discontinuous Galerkin method for the elastic wave equation
Date:
Saturday 9th November 2019
Author(s):
Antonietti, P.F.; Mazzieri, I.; Migliorini, F.
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Abstract:
In this work we present a new high order space-time discretization method based on a discontinuos Galerkin paradigm for the second order visco-elastodynamics equation. After introducing the method, we show that the resulting space-time discontinuous Galerkin formulation is well-posed, stable and retains optimal rate of convergence with respect to the discretization parameters, namely the mesh size and the polynomial approximation degree. A set of three-dimensional numerical experiments confirms the theoretical bounds.