Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals

Authors:
David Elliott;Peter R. Johnston
Affiliations:
School of Mathematics and Physics, University of Tasmania, Private Bag 37, Hobart, Tasmania 7001, Australia;School of Science, Griffith University, Kessels Road, Nathan, Queensland 4111, Australia
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 6
Cited 1

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Abstract

In the two-dimensional boundary element method, one often needs to evaluate numerically integrals of the form @!"-"1^1g(x)j(x)f((x-a)^2+b^2)dx where j^2 is a quadratic, g is a polynomial and f is a rational, logarithmic or algebraic function with a singularity at zero. The constants a and b are such that -1=