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Computer evaluation of singular integrals and their applications

โœ Scribed by V. I. Fabrikant

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
967 KB
Volume
23
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

An algorithm and a standard subroutine are developed for the evaluation of singular integrals over arbitrary two-dimensional domains. The integrand is a product of a Green's function with another function having a weak singularity at the boundary of the domain. Formulae are derived for an accurate estimation of the integral in the neighbourhood of the singularities. The integral over the rest of the domain is evaluated by a library subroutine. The software developed is applied to a study of some contact problems of the theory of elasticity for non-classical domains.

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