Abstract
In this paper we extend the results contained in Antonietti et al. (J Sci Comput 68(1):143-170, 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 the energy and L 2-norms. Our theoretical estimates are verified through three dimensional numerical experiments.
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CITATION STYLE
Antonietti, P. F., Ferroni, A., Mazzieri, I., & Quarteroni, A. (2017). hp-Version Discontinuous Galerkin Approximations of the Elastodynamics Equation. In Lecture Notes in Computational Science and Engineering (Vol. 119, pp. 3–19). Springer Verlag. https://doi.org/10.1007/978-3-319-65870-4_1
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