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

Code verification plays an important role in establishing the credibility of computational simulations by assessing the correctness of the implementation of the underlying numerical methods. In computational electromagnetics, the numerical solution to integral equations incurs multiple interacting sources of numerical error, as well as other challenges, which render traditional code-verification approaches ineffective. In this paper, we provide approaches to separately measure the numerical errors arising from these different error sources for the method-of-moments implementation of the combined-field integral equation. We demonstrate the effectiveness of these approaches for cases with and without coding errors.Comment: arXiv admin note: substantial text overlap with arXiv:2209.0937

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

Electromagnetic surface integral equations, such as the method-of-moments implementation of the magnetic-field integral equation, 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.Comment: arXiv admin note: text overlap with arXiv:2106.1339