Direct Evaluation of Hypersingular Galerkin Surface Integrals

Abstract

A direct algorithm for evaluating hypersingular integrals arising in a three-dimensional Galerkin boundary integral analysis is presented. The singular integrals are defined as limits to the boundary, and by integrating two of the four dimensions analytically, the coincident integral is shown to be divergent. However, the divergent terms can be explicitly… (More)
DOI: 10.1137/S1064827502405999

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