The solution of Laplacian problems over L-shaped domains with a singular function boundary integral method
Ημερομηνία
2002ISSN
1069-8299Source
Communications in Numerical Methods in EngineeringVolume
18Issue
3Pages
213-222Google Scholar check
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Εμφάνιση πλήρους εγγραφήςΕπιτομή
The singular function boundary integral method is applied for the solution of a Laplace equation problem over an L-shaped domain. The solution is approximated by the leading terms of the local asymptotic solution expansion, while the Dirichlet boundary conditions are weakly enforced by means of Lagrange multipliers. Estimates of great accuracy are obtained for the leading singular coefficients, as well as for the Lagrange multipliers. Comparisons are made with recent numerical results in the literature. Copyright © 2002 John Wiley & Sons, Ltd.