Numerical evaluation of arbitrary singular domain integrals based on radial integration method
β Scribed by Xiao-Wei Gao; Hai-Feng Peng
- Book ID
- 108122830
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 413 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0955-7997
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## Abstract This paper presents a new numerical integration technique on arbitrary polygonal domains. The polygonal domain is mapped conformally to the unit disk using SchwarzβChristoffel mapping and a midpoint quadrature rule defined on this unit disk is used. This method eliminates the need for a
Singular lntegral equations with a Cauchy type kernel and a logarithmic weight function can be solved numerically by integrating them by a Gauss-type quadrature rule and, further, by reducing the resulting equation to a linear system by applying this equation at an appropriate number of collocation