Codice 33/2016 Titolo hp-version discontinuous Galerkin approximations of the elastodynamics equation Data 2016-10-06 Autore/i Antonietti, P. F.; Ferroni, A.; Mazzieri, I.; Quarteroni, A. Link Download full text Abstract In this paper we extend the results contained in [Antonietti, Ayuso de Dios, Mazzieri, Quarteroni, J. Sci. Comput., 2016] and consider the problem of approximating the elastodynamics equation by means of hp-version discontinuous Galerkin methods. For the resulting semi-discretized schemes we derive stability bounds as well as hp error estimates in a suitable energy norm. Our theoretical estimates are verified through three dimensions numerical experiments.