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MiS Preprint

Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation

Boris N. Khoromskij, Stefan A. Sauter and Alexander Veit


We consider the Galerkin approach for the numerical solution of retarded boundary integral formulations of the three dimensional wave equation in unbounded domains. Recently smooth and compactly supported basis functions in time were introduced which allow the use of standard quadrature rules in order to compute the entries of the boundary element matrix. In this paper we use TT and QTT tensor approximations to increase the efficiency of these quadrature rules. Various numerical experiments show the substantial reduction of the computational cost that is needed to obtain accurate approximations for the arising integrals.

MSC Codes:
65F30, 65F50, 65N35
tensor approximation, quantized representation of vectors, retarded potentials, 3D wave equation, quadrature rules

Related publications

2011 Journal Open Access
Boris N. Khoromskij, Stefan A. Sauter and Alexander Veit

Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation

In: Computational methods in applied mathematics, 11 (2011) 3, pp. 342-362