ANALYTIC EVALUATION OF SINGULAR BOUNDARY INTEGRALS WITHOUT CPV

Boundary integral equations are generally derived by employing a Cauch y Principal Value definition for the singular integral involving the d erivative of the Green function. As a consequence, evaluation of this integral requires special attention, and computing the associated 'sol id angle coefficient' can often pose difficulties. As discussed herein , these problems can be avoided by defining the integral directly, in terms of a limit to the boundary. This approach leads to a straightfor ward evaluation procedure.