THE USE OF SIMPLE SOLUTIONS IN THE REGULARIZATION OF HYPERSINGULAR BOUNDARY INTEGRAL-EQUATIONS

The normal derivative of the boundary integral equation pertaining to a harmonic function, or a hypersingular boundary integral equation, is regularized by the use of two simple solutions on a arbitrary domain. This regularization produces a form convenient for computation and requires no explicit evaluation for finite part integrals. The equation is specialized for the case of linear elements, and some sample problems are given to illustrate the accuracy of the technique compared to the regular boundary element method. The procedure is easily extended to other, more complex problems.