Volume 11, Issue 5
A Well-posed and Discretely Stable Perfectly Matched Layer for Elastic Wave Equations in Second Order Formulation

Kenneth Duru and Gunilla Kreiss

10.4208/cicp.120210.240511a

Commun. Comput. Phys., 11 (2012), pp. 1643-1672.

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  • Abstract

We present a well-posed and discretely stable perfectly matched layer for the anisotropic (and isotropic) elastic wave equations without first re-writing the governing equations as a first order system. The new model is derived by the complex coordinate stretching technique. Using standard perturbation methods we show that complex frequency shift together with a chosen real scaling factor ensures the decay of eigen-modes for all relevantfrequencies. To buttressthe stability properties and the robustness of the proposed model, numerical experiments are presented for anisotropic elastic wave equations. The model is approximated with a stable node-centered finite difference scheme that is second order accurate both in time and space.


  • History

Published online: 2012-11

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