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

DOI10.1016/J.JCP.2023.111959arXiv2209.09378MaRDI QIDQ6411288

Publication date: 19 September 2022

Abstract: For computational physics simulations, code verification plays a major role in establishing the credibility of the results by assessing the correctness of the implementation of the underlying numerical methods. In computational electromagnetics, surface integral equations, such as the method-of-moments implementation of the magnetic-field integral equation, are frequently used to solve Maxwell's equations on the surfaces of electromagnetic scatterers. These electromagnetic surface integral equations yield many code-verification challenges due to the various sources of numerical error and their possible interactions. In this paper, we provide approaches to separately measure the numerical errors arising from these different error sources. We demonstrate the effectiveness of these approaches for cases with and without coding errors.

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Basic methods for problems in optics and electromagnetic theory (78Mxx) General topics in optics and electromagnetic theory (78Axx)

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