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Neutralizing nearby singularities in numerical quadrature

✍ Scribed by Walter Gautschi


Book ID
120755117
Publisher
Springer US
Year
2012
Tongue
English
Weight
193 KB
Volume
64
Category
Article
ISSN
1017-1398

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Numerical quadrature over triangles with
✍ Heitor L. Pina πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 110 KB

The present paper studies in a uniΓΏed 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-ordina