Abstract
A few original or recently described numerical methods are presented for direct computation of boundary limits of strongly singular and hypersingular boundary integrals appearing in three-dimensional BEM applied to elastostatics. The methods differ from each other in dealing with integrand singularity: Kutt's formulae in the radial direction, analytical integration in the radial direction of the leading homogeneous term of the integrand expansion and regularizations using Stokes' integral theorem. The advanced unified approach for their implementations is based on the polar coordinate transformation in the parameter plane of the singular element. Due to various groups of performed numerical tests for surfaces discretized by flat or curved boundary elements with linear, quadratic and cubic shape functions, it is possible to compare the methods for their stability and rate of convergence to exact values.
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