In this paper we extend the results contained in [1] 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.

Hp–version discontinuous Galerkin approximations of the elastodynamics equation

P. F. Antonietti;I. Mazzieri;Alfio Maria Quarteroni
2017

Abstract

In this paper we extend the results contained in [1] 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.
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016
LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING
978-3-319-65869-8
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/1036930
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