In this paper we formulate and analyze two non-conforming high order strategies for the approximation 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 dis- persion and stability.
Non-conforming high order approximations of the elastodynamics equation
ANTONIETTI, PAOLA FRANCESCA;MAZZIERI, ILARIO;QUARTERONI, ALFIO MARIA;
2012-01-01
Abstract
In this paper we formulate and analyze two non-conforming high order strategies for the approximation 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 dis- persion and stability.File in questo prodotto:
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