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Zbl 1211.65159
Nasser, M.M.S.; Murid, A.H.M.; Ismail, M.; Alejaily, E.M.A.
Boundary integral equations with the generalized Neumann kernel for Laplace's equation in multiply connected regions. (English)
[J] Appl. Math. Comput. 217, No. 9, 4710-4727 (2011). ISSN 0096-3003

The paper is concerned with study of a boundary integral method for solving Laplace's equation with a Dirichlet boundary condition or a Neumann condition on both bounded and unbounded multiply connected regions. The integral equations are solved numerically by the Nyström method with the trapezoidal rule. Numerical results illustrate the efficiency of the proposed method.
[Nicolae Pop (Baia Mare)]

MSC 2000:: *65N38 Boundary element methods (BVP of PDE)
35J05 Laplace equation, etc.

Keywords: Dirichlet problem; Neumann problem; boundary integral equation; Laplace equation; multiply connected regions; Nyström method; trapezoidal rule; numerical results

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Zentralblatt MATH Berlin [Germany]