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Analytical integration of weakly singular integrals in boundary element analysis of Helmholtz and advection-diffusion equations. (English) Zbl 0964.65136

The authors present a fairly general strategy in order to evaluate analytically the weakly singular integrals encountered in the numerical anlysis of Helmholtz type equations and advection-diffusion equation by boundary element methods.

MSC:

65N38 Boundary element methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane
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