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Numerical treatment of retarded boundary integral equations by sparse panel clustering


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.

Abstract

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.

Abstract

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.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:January 2008
Deposited On:21 Jan 2009 10:44
Last Modified:05 Apr 2016 12:39
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
Publisher DOI:https://doi.org/10.1093/imanum/drm021
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2387910

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