Manufactured Solutions for the Method-of-Moments Implementation of the Electric-Field Integral Equation
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Publication:6356221
DOI10.1016/J.JCP.2021.110538arXiv2012.08681MaRDI QIDQ6356221
Neil R. Matula, William A. Johnson, Brian A. Freno
Publication date: 15 December 2020
Abstract: Though the method-of-moments implementation of the electric-field integral equation plays an important role in computational electromagnetics, it provides many code-verification challenges due to the different sources of numerical error. In this paper, we provide an approach through which we can apply the method of manufactured solutions to isolate and verify the solution-discretization error. We accomplish this by manufacturing both the surface current and the Green's function. Because the arising equations are poorly conditioned, we reformulate them as a set of constraints for an optimization problem that selects the solution closest to the manufactured solution. We demonstrate the effectiveness of this approach for cases with and without coding errors.
Basic methods for problems in optics and electromagnetic theory (78Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) General topics in optics and electromagnetic theory (78Axx)
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