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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

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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