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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
103/2006

Numerical Treatment of Retarded Boundary Integral Equations by Sparse Panel Clustering (extended version)

Wendy Kress and Stefan A. Sauter

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 cutoff, 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.

Received:
Sep 27, 2006
Published:
Sep 27, 2006

Related publications

inJournal
2008 Repository Open Access
Wendy Kress and Stefan A. Sauter

Numerical treatment of retarded boundary integral equations by sparse panel clustering

In: IMA journal of numerical analysis, 28 (2008) 1, pp. 162-185