✦ LIBER ✦

A singular function boundary integral method for the Laplace equation

✍ Scribed by Georgiou, Georgios C. ;Olson, Lorraine ;Smyrlis, Yiorgos S.

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 464 KB
Volume: 12
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199602)12:2<127::aid-cnm959>3.0.co;2-i

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✦ Synopsis

The authors present a new singular function boundary integral method for the numerical solution of problems with singularities which is based on approximation of the solution by the leading terms of the local asymptotic expansion. The essential boundary conditions are weakly enforced by means of appropriate Lagrange multipliers. The method is applied to a benchmark Laplace-equation problem, the Motz problem, giving extremely accurate estimates for the leading singular coefficients. The method converges exponentially with the number of singular functions and requires a low computational cost. Comparisons are made to the analytical solution and other numerical methods.

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