Code-Verification Techniques for the Method-of-Moments Implementation of the Electric-Field Integral Equation

TL;DR

This paper presents techniques to verify and compare the accuracy of code implementations for the electric-field integral equation using the method of moments, focusing on numerical errors from basis functions and quadrature methods.

Contribution

It introduces approaches to separately assess and verify numerical errors in the method-of-moments implementation for the electric-field integral equation, addressing verification challenges.

Findings

Effective verification methods for basis function approximation errors

Comparison of quadrature techniques for integral accuracy

Identification of dominant error sources in code implementation

Abstract

The method-of-moments implementation of the electric-field integral equation yields many code-verification challenges due to the various sources of numerical error and their possible interactions. Matters are further complicated by singular integrals, which arise from the presence of a Green's function. In this paper, we provide approaches to separately assess the numerical errors arising from the use of basis functions to approximate the solution and the use of quadrature to approximate the integration. Through these approaches, we are able to verify the code and compare the error from different quadrature options.