TY - JOUR
T1 - A Well-Posed and Discretely Stable Perfectly Matched Layer for Elastic Wave Equations in Second Order Formulation
AU - Kenneth Duru & Gunilla Kreiss
JO - Communications in Computational Physics
VL - 5
SP - 1643
EP - 1672
PY - 2012
DA - 2012/11
SN - 11
DO - http://doi.org/10.4208/cicp.120210.240511a
UR - https://global-sci.org/intro/article_detail/cicp/7428.html
KW - 
AB - <p style="text-align: justify;">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 relevant frequencies. To buttress the 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.</p>