Procedure for conversion of singular integrals of matrix elements of tensor and vector Green function in surface-volume integral equations

A procedure allowing conversion of integrals with singular integrands over tetrahedral (volume) and triangular (surface) supports which are present in matrix elements of tensor and vector Green functions with linear basis function to non-singular integrals over tetrahedra surfaces and triangles edges is presented. An advantage of the derived expressions is that they offer simplicity and easily controllable accuracy without the need of using conventional numerical singularity extraction methods.