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.

尽管电场积分方程的矩量法实现在计算电磁学中起着重要作用，但由于数值误差的不同来源，它提供了许多代码验证挑战。在本文中，我们提供了一种方法，通过该方法我们可以应用制造解决方案的方法来隔离和验证解决方案离散化错误。我们通过制造表面电流和格林函数来实现这一点。由于出现的方程条件较差，我们将它们重新表述为优化问题的一组约束，该优化问题选择最接近制造解决方案的解决方案。我们证明了这种方法对于有和没有编码错误的情况的有效性。