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A Taylor expansion algorithm for integration of 3D near-hypersingular integrals

✍ Scribed by Mi, Y. ;Aliabadi, M. H.

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
626 KB
Volume
12
Category
Article
ISSN
1069-8299

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✦ Synopsis

An algorithm based on the Taylor series expansion is extended to deal with the problem of nearhypersingular integrals occurring in a 3D electrostatic BEM formulation. The integral is evaluated by subtracting out the leading terms in the near-hypersingular part of the integrand and adding it back. The accuracy of the proposed method is demonstrated for a curved element. It is shown that accurate values can be obtained with low orders of Gaussian quadrature.

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