Novel Test Integral Quadrature Scheme for the Method of Moments

An extensive literature exists on the efficient and accurate evaluation of the double surface integrals that arise in the Method of Moments. Most papers have focused on the evaluation of the inner (source) integral with the idea that once that integral is evaluated, the test (outer) integral's integrand is sufficiently smooth that it should be much easier to integrate numerically. However, that affirmation is not always true. Here, we propose an integration scheme that improves the numerical evaluation of the test integral without affecting the treatment of the source integral. The method is numerically validated for static and dynamic kernels in the reaction integrals arising in electric field integral equations.