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Corner singularities for elliptic problems: special basis functions versus ?brute force?

✍ Scribed by Helsing, Johan

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 88 KB
Volume: 16
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(200001)16:1<37::aid-cnm307>3.0.co;2-1

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✦ Synopsis

A method is presented for the fast and accurate solution of elliptic boundary value problems on domains with corners. The method is based on integral equations and Nystr om discretization. Close to corners two representations for the solution coexist-a pointwise representation and a representation in terms of special basis functions. Mappings and kernel evaluations are constructed on a symmetric corner panel. In a numerical example the electrostatic equation is solved for an array of square prisms. A dramatic improvement in e ciency over previous schemes is observed.

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