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.
翻译:由于数字错误的各种来源及其可能的相互作用,电场综合方程式实施时的方法产生了许多编码核查挑战。由于存在格林的功能,单一整体体使问题更加复杂。在本文件中,我们提供了分别评估因使用基函数来接近解决方案和使用二次方程式来接近整合而出现的数字错误的方法。通过这些方法,我们能够核实代码,比较不同二次方位选项的错误。