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A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM. (English) Zbl 1042.74054
Nearly strongly singular and hypersingular integrals in 2-D boundary element method are treated by modified Gauss-Chebyshev quadrature formula. The weak nearly logarithmic singularity is extracted and integrated analytically. The proposed technique is tested in several numerical examples. Some proposals are given for an extension of the approach to 3-D calculations.

MSC:
74S15 Boundary element methods applied to problems in solid mechanics
65N38 Boundary element methods for boundary value problems involving PDEs
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