The method-of-moments implementation of the electric-field integral equation (EFIE) 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. To address these singular integrals, an approach was previously presented wherein both the solution and Green's function are manufactured. Because the arising equations are poorly conditioned, they are reformulated as a set of constraints for an optimization problem that selects the solution closest to the manufactured solution. In this paper, we demonstrate how, for such practically singular systems of equations, computing the truncation error by inserting the exact solution into the discretized equations cannot detect certain orders of coding errors. On the other hand, the discretization error from the optimal solution is a more sensitive metric that can detect orders less than those of the expected convergence rate.

翻译：电场整体方程式(EFIE) 的“ 电场整体方程式(EFIE) ” 实施速度方法由于数字错误的各种来源及其可能的相互作用而产生了许多代码核查挑战。 由格林功能产生的单一整体体使问题更加复杂。 要解决这些单一整体体,以前曾提出一种方法,即既制造解决方案,又制造绿色功能。由于产生的方程式条件差,它们被重新拟订为一套限制优化问题的限制,即选择最接近制造解决方案的解决方案的优化问题。 在本文中,我们证明,对于这种实际单一的方程式系统,如何通过在离散方程式中插入精确的解决方案来计算脱轨错误,从而无法检测某些编码错误的顺序。 另一方面,最佳解决方案的离散错误是一种较敏感的指标,可以比预期的汇合率更低的测序。