ON THE EVALUATION OF THE DOUBLE SURFACE INTEGRALS ARISING IN THE APPLICATION OF THE BOUNDARY INTEGRAL METHOD TO 3-D PROBLEMS

In this paper, the authors discuss how to minimize the computing time for the evaluation of the double surface integrals arising in the appl ication of the boundary integral method (BIM) to three-dimensional (3- D) problems. The integrals considered refer to the Green's functions f or the scalar and vector potentials and to uniform or linear basis and test functions defined over triangular sub-domains. The authors repor t original analytical formulas for the double surface integrals over c oincident triangles involving the singular terms of the Green's functi ons and present a criterion for obtaining a good compromise between ac curacy and computing time in numerical integration.