论文标题

磁场积分方程的实现方法实现的代码验证技术

Code-Verification Techniques for the Method-of-Moments Implementation of the Magnetic-Field Integral Equation

论文作者

Freno, Brian A., Matula, Neil R.

论文摘要

对于计算物理模拟,代码验证通过评估基本数值方法实施的正确性来确定结果的可信度。在计算电磁学中,表面积分方程(例如磁场积分方程的实现方法)经常用于求解麦克斯韦的方程式在电磁散射器的表面上。这些电磁表面积分方程由于数值误差的各种来源及其可能的相互作用而产生许多代码验证挑战。在本文中,我们提供了分别测量这些不同误差源引起的数值错误的方法。我们证明了这些方法对于有和没有编码错误的情况的有效性。

For computational physics simulations, code verification plays a major role in establishing the credibility of the results by assessing the correctness of the implementation of the underlying numerical methods. In computational electromagnetics, surface integral equations, such as the method-of-moments implementation of the magnetic-field integral equation, are frequently used to solve Maxwell's equations on the surfaces of electromagnetic scatterers. These electromagnetic surface integral equations yield many code-verification challenges due to the various sources of numerical error and their possible interactions. In this paper, we provide approaches to separately measure the numerical errors arising from these different error sources. We demonstrate the effectiveness of these approaches for cases with and without coding errors.

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