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Numerical Treatment of Retarded Boundary Integral Equations by Sparse Panel Clustering (extended version)
Wendy Kress and Stefan A. Sauter
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.