International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 291968, 31 pages
Higher-Order Splitting Method for Elastic Wave Propagation
Institut für Mathematik, Humboldt Universität zu Berlin, Unter den Linden 6, 10099 Berlin, Germany
Received 30 July 2008; Accepted 10 November 2008
Academic Editor: Thomas Witelski
Copyright © 2008 Jürgen Geiser. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Motivated by seismological problems, we have studied a fourth-order split scheme for the elastic wave equation. We split in the spatial directions and obtain locally one-dimensional systems to be solved. We have analyzed the new scheme and obtained results showing consistency and stability. We have used the split scheme to solve problems in two and three dimensions. We have also looked at the influence of singular forcing terms on the convergence properties of the scheme.