The boundary node method for three-dimensional problems in potential theory. (English) Zbl 0961.65100

Chati, Mandar K.; Mukherjee, Subrata

Int. J. Numer. Methods Eng. 47, No. 9, 1523-1547 (2000).

The authors couple the moving least-squares interpolation method with boundary integral equations corresponding to 3D potential problems in order to obtain the boundary node method. The paper is descriptive and the numerical results are encouraging.

Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)

MSC:

65N38	Boundary element methods for boundary value problems involving PDEs
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
31B10	Integral representations, integral operators, integral equations methods in higher dimensions

Keywords:

meshless methods; boundary node methods; 3D potential problems; numerical examples; moving least-squares interpolation method; boundary integral equations

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