Authors: Jonas Ballani Peter Meszmer
Publish Date: 2013/10/16
Volume: 15, Issue: 2, Pages: 75-86
Abstract
In this article we introduce a new method for the accurate and fast computation of singular integrals over cuboids in threedimensional space Using a straightforward geometric parametrisation of the domain of integration we interpret the integral as a smooth function on a highdimensional parameter space A standard interpolation scheme then leads to a highdimensional tensor to which an approximation in the datasparse hierarchical tensor format is applied Once this approximation is available the evaluation of an integral value becomes an easy task which does no longer require the treatment of singular terms Numerical experiments illustrate the potential of the proposed approach for typical examples
Keywords: