Code: 05/2021
Title: A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems
Date: Monday 25th January 2021
Author(s) : Antonietti, P.F.; Mazzieri, I.; Migliorini, F.
Download link:
Abstract: In this work, we present a new high order Discontinuous Galerkin time integration scheme for second-order (in time) differential systems that typically arise from the space discretization of the elastodynamics equation. By rewriting the original equation as a system of first order differential equations we introduce the method and show that the resulting discrete formulation is well-posed, stable and retains super-optimal rate of convergence with respect to the discretization parameters, namely the time step and the polynomial approximation degree. A set of two- and three-dimensional numerical experiments confirm the theoretical bounds. Finally, the method is applied to real geophysical applications.

This report, or a modified version of it, has been also submitted to, or published on
Sottomesso a Journal of Computational Physics