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Kress, W; Sauter, S (2008). Numerical treatment of retarded boundary integral equations by sparse panel clustering. IMA Journal of Numerical Analysis, 28(1):162-185.
We consider the wave equation in a boundary integral formulation. The discretization in time is done by using convolution quadrature techniques and a Galerkin boundary element method for the spatial discretization. In a previous paper, we have introduced a sparse approximation of the system matrix by cut-off, in order to reduce the storage costs. In this paper, we extend this approach by introducing a panel clustering method to further reduce these costs.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Computational Mathematics Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | January 2008 |
| Deposited On: | 21 Jan 2009 10:44 |
| Last Modified: | 01 Sep 2024 01:40 |
| Publisher: | Oxford University Press |
| ISSN: | 0272-4979 |
| Additional Information: | This is a pre-copy-editing, author-produced PDF of an article accepted for publication in IMA Journal of Numerical Analysis following peer review. The definitive publisher-authenticated version "Kress, W; Sauter, S (2008). Numerical treatment of retarded boundary integral equations by sparse panel clustering. IMA Journal of Numerical Analysis, 28(1):162-185" is available online at: http://imajna.oxfordjournals.org/content/28/1/162.abstract |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1093/imanum/drm021 |
Kress, W