Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals. (English) Zbl 0935.65130

This paper presents a clear contribution to the ever important subject of efficiently computing numerical integrals over boundary elements. Here, a coordinate transformation technique, based on sigmoidal transformations, is implemented to compute weakly singular and nonsingular integrals. The complete approach is presented in a practical and well-written manner and the promissing technique is compared with existing alternative procedures.


65N38 Boundary element methods for boundary value problems involving PDEs
65D32 Numerical quadrature and cubature formulas
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