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

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
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