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

Kenneth Duru & Gunilla Kreiss

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

Published online: 2012-11

Preview Full PDF 116 571
Export citation
  • 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.


  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

@Article{CiCP-11-1643, author = {Kenneth Duru and Gunilla Kreiss}, title = {A Well-posed and Discretely Stable Perfectly Matched Layer for Elastic Wave Equations in Second Order Formulation}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {5}, pages = {1643--1672}, 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.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.120210.240511a}, url = {http://global-sci.org/intro/article_detail/cicp/7428.html} }
Copy to clipboard
The citation has been copied to your clipboard