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

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

Geevers, Sjoerd (University of Twente)
van der Vegt, Jaap (University of Twente)
Mulder, W.A. (TU Delft Applied Geophysics and Petrophysics; Shell Global Solutions International B.V.)

2016

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.

http://resolver.tudelft.nl/uuid:e4bbbf0e-f348-4706-b68e-3e4b1e714820

7th European Congress on Computational Methods in Applied Sciences and Engineering, 2016-06-05 → 2016-06-10, Crete, Greece

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© 2016 Sjoerd Geevers, Jaap van der Vegt, W.A. Mulder