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

Abstract (2016)

Authors

Sjoerd Geevers University of Twente
Jaap van der Vegt University of Twente
W.A. Mulder Shell Global Solutions International B.V., Applied Geophysics and Petrophysics - CEG
Research Group
Applied Geophysics and Petrophysics (CEG) (TU Delft)
Copyright: © 2016 Sjoerd Geevers, Jaap van der Vegt, W.A. Mulder
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Published Date

2016

Language

English

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Faculty

Civil Engineering & Geosciences

Department

Geoscience and Engineering

Research Group

Applied Geophysics and Petrophysics

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.