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Numerical quadrature over triangles with weak singularities

✍ Scribed by Heitor L. Pina

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 110 KB
Volume: 45
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19990830)45:12<1871::aid-nme658>3.0.co;2-m

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✦ Synopsis

The present paper studies in a uniÿed way the numerical computation of integrals over triangles with weak singularities arising from the ln r and 1=r kernels present in the boundary element method by mapping the triangle into a square and thus obtaining a regularizing e ect. Three types of co-ordinate transformations are evaluated and their performance with respect to numerical quadrature is assessed.

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