Higher-Order Splitting Method for Elastic Wave Propagation
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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/291968 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546029682032640 |
|---|---|
| author | Jürgen Geiser |
| author_facet | Jürgen Geiser |
| author_sort | Jürgen Geiser |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ee768c90e9e7475182646f8ed4449fd1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ee768c90e9e7475182646f8ed4449fd12025-02-03T07:24:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/291968291968Higher-Order Splitting Method for Elastic Wave PropagationJürgen Geiser0Institut für Mathematik, Humboldt Universität zu Berlin, Unter den Linden 6, 10099 Berlin, GermanyMotivated 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.http://dx.doi.org/10.1155/2008/291968 |
| spellingShingle | Jürgen Geiser Higher-Order Splitting Method for Elastic Wave Propagation International Journal of Mathematics and Mathematical Sciences |
| title | Higher-Order Splitting Method for Elastic Wave Propagation |
| title_full | Higher-Order Splitting Method for Elastic Wave Propagation |
| title_fullStr | Higher-Order Splitting Method for Elastic Wave Propagation |
| title_full_unstemmed | Higher-Order Splitting Method for Elastic Wave Propagation |
| title_short | Higher-Order Splitting Method for Elastic Wave Propagation |
| title_sort | higher order splitting method for elastic wave propagation |
| url | http://dx.doi.org/10.1155/2008/291968 |
| work_keys_str_mv | AT jurgengeiser higherordersplittingmethodforelasticwavepropagation |