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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2001

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

  • Boris Khoromskij EMAIL logo , Stefan Sauter and Alexander Veit

Abstract

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.

Received: 2011-07-29
Revised: 2011-08-11
Accepted: 2011-08-21
Published Online: 2001
Published in Print: 2001

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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