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Numerical treatment of retarded boundary integral equations by sparse panel clustering

Kress, Wendy ; Sauter, Stefan

In: IMA Journal of Numerical Analysis, 2007, vol. 28, no. 1, p. 162-185

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    Titel
    • Numerical treatment of retarded boundary integral equations by sparse panel clustering
    Autor
    • Kress, Wendy. Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, D-04103 Leipzig, Germany
    • Sauter, Stefan. Institute for Mathematics, University of Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
    Dokumententyp
    • Postprint
    Sprache
    • Englisch
    Veröffentlicht in
    • IMA Journal of Numerical Analysis, 2007, vol. 28, no. 1, p. 162-185. Oxford University Press
    Andere elektronische Ausgabe
    OAI-PMH-ID
    • oai:doc.rero.ch:292004
    Summary
    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