In this work we consider the numerical solution of elastic wave propagation problems in heterogeneous media. Our approximation is based on a Discontinuous Galerkin spectral element method coupled with a fourth stage Runge-Kutta time integration scheme. We partition the computational domain into non-overlapping subregions, according to the involved materials, and in each subdomain a spectral finite element discretization is employed. The partitions do not need to be geometrically conforming; furthermore, different polynomial approximation degrees are allowed within each subdomain. The numerical results show that the proposed method is accurate, flexible and well suited for wave propagation analysis.

High order space-time discretization for elastic wave propagation problems

ANTONIETTI, PAOLA FRANCESCA;MAZZIERI, ILARIO;QUARTERONI, ALFIO MARIA;
2014

Abstract

In this work we consider the numerical solution of elastic wave propagation problems in heterogeneous media. Our approximation is based on a Discontinuous Galerkin spectral element method coupled with a fourth stage Runge-Kutta time integration scheme. We partition the computational domain into non-overlapping subregions, according to the involved materials, and in each subdomain a spectral finite element discretization is employed. The partitions do not need to be geometrically conforming; furthermore, different polynomial approximation degrees are allowed within each subdomain. The numerical results show that the proposed method is accurate, flexible and well suited for wave propagation analysis.
9th International Conference on Spectral and High Order Methods, ICOSAHOM 2012
9783319016009
9783319016009
Engineering (all); Computational Mathematics; Modeling and Simulation; Control and Optimization; Discrete Mathematics and Combinatorics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1002943
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