论文标题
用于实施电场积分方程的方法的制造解决方案
Manufactured Solutions for the Method-of-Moments Implementation of the Electric-Field Integral Equation
论文作者
论文摘要
尽管电场积分方程的实现方法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的挑战。在本文中，我们提供了一种方法，可以通过该方法应用制造解决方案的方法来隔离和验证解决方案差异误差。我们通过制造表面电流和绿色的功能来实现这一目标。由于出现的方程式的条件不佳，因此我们将它们重新制定为一组优化问题的约束，从而选择最接近制成解决方案的解决方案。我们证明了这种方法对具有和没有编码错误的病例的有效性。
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.
