An Alternative Method for Calculating Mixed Surface Integrals in Solving the Three—dimensional Potential Problem by the Boundary Element Method

Abstract

A mixed integral consisting of a weakly singular part and a non—singular part can be evaluated by separating it into the two parts and treating them differently. This paper presents the method that uses an analytical or semi—analytical technique for calculating the weakly singular integral, and the two—dimensional Gaussian quadrature for calculating the non—singular integral. It also shows how the separation of mixed integrals found in three—dimensional potential problems can be done. The effectiveness of the proposed method is demonstrated by comparing the solutions for a sample problem obtained from this method and from the variable transformation method.