Stability Analysis for Discontinuous Galerkin approximations of the elastodynamics problem
Numerical Analysis
2013-10-31 v1
Abstract
We consider semi-discrete discontinuous Galerkin approximations of a general elastodynamics problem, in both {\it displacement} and {\it displacement-stress} formulations. We present the stability analysis of all the methods in the natural energy norm and derive optimal a-priori error estimates. For the displacement-stress formulation, schemes preserving the total energy of the system are introduced and discussed. We include some numerical experiments in three dimensions to verify the theory.
Cite
@article{arxiv.1310.8084,
title = {Stability Analysis for Discontinuous Galerkin approximations of the elastodynamics problem},
author = {Paola F. Antonietti and Blanca Ayuso de Dios and Ilario Mazzieri and Alfio Quarteroni},
journal= {arXiv preprint arXiv:1310.8084},
year = {2013}
}
Comments
32 pages, 4 figures