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. |
Download link: |  |
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. |