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The analyticity of the Neumann kernel and an associated quadrature problem in two-dimensional boundary element methods

✍ Scribed by D.M. Hough

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
285 KB
Volume
8
Category
Article
ISSN
0955-7997

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✦ Synopsis

The purpose of this paper is to point out that in most practical situations, the Neumann kernel of two-dimensional potential theory is an analytic function of its arguments. Consequently, standard quadrature methods may normally be used for all element integrals in boundary element collocation methods involving the Neumann kernel. We illustrate this for a simple numerical example.

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