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

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.
Spectral methods; Non-conforming domain decomposition techniques; Computational seismology; Numerical approximations and analysis
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/618567
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