Non-Conforming High Order Approximations for the Elastic Wave Equation

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
14/2011
Title:
Non-Conforming High Order Approximations for the Elastic Wave Equation
Date:
Tuesday 29th March 2011
Author(s):
Antonietti, P.F.; Mazzieri, I.; Quarteroni, A.; Rapetti, F.
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Abstract:
In this paper we formulate and analyze two non conforming high order strategies for approximating the solution of elastic wave problems in heterogeneous media, namely the Mortar Spectral Element Method and the Discontinuous Galerkin Spectral Element Method. Starting from a common variational formulation we make a full comparison of the two techniques from the points of view of accuracy, convergence, grid dispersion and stability.
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Computer Methods in Applied Mechanics and Engineering