Reducing Volume Integrals to Line Integrals for Some Functions Associated With Schaubert–Wilton–Glisson Basis Function

Abstract

An accurate method is proposed to calculate volume integrals arising from integral equation (IE) analysis using the Schaubert-Wilton-Glisson (SWG) basis function (BF). The volume integral is transformed into a summation of some of line integrals. The dimension reduction is achieved using the divergence theorem twice. Finally, each line integral is evaluated using an accuracy-controllable quadrature rule. We compare our results with those generated by Mathematica. Good agreement is found, which verifies the effectiveness and correctness of our method.