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Some notes on singular integral techniques in boundary element analysis. (English) Zbl 0781.73076
Summary: The paper presented reviews the numerical techniques used currently to calculate the singular integrals and nearly singular integrals in the boundary element analysis. Some incorrect algorithms published before are discussed, and a new numerical technique to calculate the nearly singular integral is developed. The numerical results show a significant improvement in both accuracy and efficiency compared to the traditional adaptive Gaussian quadrature and subdivision techniques.

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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