A Symmetric Interior Penalty Discontinuous Galerkin Method with Local Time Stepping for Anisotropic Elasticity Problems

Sjoerd Geevers, Jaap van der Vegt, Wim Mulder

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Abstract

We present and analyse a Symmetric Interior Penalty Discontinuous Galerkin (SIPDG) method combined with an explicit hybrid Local Time Stepping (LTS) scheme for solving seismic wave problems in heterogeneous anisotropic elastic media. The discontinuous Galerkin method allows for local adjustment of the mesh size and approximation order, and can deal with unstructured non-conforming meshes of mixed types. Furthermore, when using orthogonal basis functions and an explicit time integration scheme, the method becomes fully explicit and inherently parallel, making it an attractive method for seismic applications involving large three-dimensional domains, sharp material contrasts, and detailed internal structures.
Original languageEnglish
Number of pages1
Publication statusPublished - 2016
Event7th European Congress on Computational Methods in Applied Sciences and Engineering - Crete, Greece
Duration: 5 Jun 201610 Jun 2016
Conference number: 7
https://www.eccomas2016.org/

Conference

Conference7th European Congress on Computational Methods in Applied Sciences and Engineering
Abbreviated titleECCOMAS Congress 2016
CountryGreece
CityCrete
Period5/06/1610/06/16
Internet address

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    Geevers, S., van der Vegt, J., & Mulder, W. (2016). A Symmetric Interior Penalty Discontinuous Galerkin Method with Local Time Stepping for Anisotropic Elasticity Problems. Abstract from 7th European Congress on Computational Methods in Applied Sciences and Engineering, Crete, Greece.