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Error estimation of quadrature rules for evaluating singular integrals in boundary element problems

✍ Scribed by Peter R. Johnston; David Elliott

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
111 KB
Volume
48
Category
Article
ISSN
0029-5981

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✦ Synopsis

The e cient numerical evaluation of integrals arising in the boundary element method is of considerable practical importance. The superiority of the use of sigmoidal and semi-sigmoidal transformations together with Gauss-Legendre quadrature in this context has already been well-demonstrated numerically by one of the authors. In this paper, the authors obtain asymptotic estimates of the truncation errors for these algorithms. These estimates allow an informed choice of both the transformation and the quadrature error in the evaluation of boundary element integrals with algebraic or algebraic=logarithmic singularities at an end-point of the interval of integration.

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