Galerkin BEM with Direct Evaluation of Hypersingular Integrals

Authors

  • Marc Bonnet Laboratoire de M`ecanique des Solides, Ecole Polytechnique
  • Massimo Guiggiani Dipartimento di Ingegneria Meccanica, Nucleare e della Produzione, Universit`a di Pisa

DOI:

https://doi.org/10.14713/ejbe.v1i2.753

Abstract

In this paper a new general algorithm is presented for the direct evaluation of all singular double integrals arising in the 2D Galerkin BEM, including those with hypersingular kernels. A distinguishing feature of the proposed method is that double singular integrals are treated as a whole, that is not as inner integrals followed by outer ones. Therefore, when applied to the symmetric Galerkin BEM, the proposed technique is strictly symmetry preserving. Moreover, a careful analysis of the limiting process is performed which shows that some new free terms may arise.

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Published

2007-10-25

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Section

Papers