25th Annual GAMM-Seminar Leipzig on

FEM and BEM for time-dependent wave problems

CPML for ADER-DG - Benefits and Limitations

Verena Hermann (Munich University)

We apply the Convolutional Perfectly Matched Layer (CPML) to a Discontinuous Galerkin (DG) method on unstructured meshes which is a finite-element method allowing for discontinuities at element interfaces similar to finite-volume schemes. The time integration is performed using Arbitrary high-order DERivatives (ADER). Inside the absorbing layer the partial differential equations describing seismic wave propagation are reformulated as an extended hyperbolic system introducing an additional source term and including time- and spacedependent memory variables. The improvement with respect to the absorbing boundary conditions used before is obvious. Our results are compared to those published by Komatitsch and Tromp who are using a spectral-element approach (2003) and by Komatitsch and Martin (2007) who are using a finite-difference scheme. We critically look at absorbing performance as well as stabiltiy.

This is joint work with Martin Käser, Cristobal Castro, Josep de la Puente

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