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
2017-01-01
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.File in questo prodotto:
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