Dispersion-dissipation analysis of 3D continuous and discontinuous spectral element methods for the elastodynamics equation

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
18/2016
Title:
Dispersion-dissipation analysis of 3D continuous and discontinuous spectral element methods for the elastodynamics equation
Date:
Monday 11th April 2016
Author(s):
Ferroni, A.; Antonietti, P.F.; Mazzieri, I.; Quarteroni, A.
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Abstract:
In this paper we present a three dimensional dispersion and dissipation analysis for both the semi-discrete and the fully discrete approximation of the elastodynamics equation based on the plane wave method. For space discretization we compare different approximation strategies, namely the continuous and discontinuous spectral element method on both tetrahedral and hexahedral elements. The fully discrete scheme is then obtained exploiting a leap-frog time integration scheme. Several numerical results are presented and discussed.
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Geophysical Journal International