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Application Of An Accurate Approach To Calculate The Almost Singular Double Surface Integrals Of The Mfie

机译:精确方法在Mfie几乎奇异双曲面积分计算中的应用

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Accurate calculation of the almost singular double surface integrals is essential for successful solutions of the magnetic field integral equation (MFIE) by method of moments (MoM) using Rao-Wilton-Glisson (RWG) basis functions, especially for the scattering analysis of small conducting objects. In this paper, an accurate singularity extraction technique to avoid logarithmic singularity of the integration on the testing triangles is used for the MFIE. The numerical examples of several small sharp-edged conducting objects demonstrate that accuracy of the MFIE is improved with the use of the new technique. In addition, the MFIE converges much faster than the electric field integral equation (EFIE) when iterative equation solvers are employed, which means high efficiency and a suitable choice for very low frequency small sharp-edged conducting object problems using this new singularity extraction technique.
机译:使用Rao-Wilton-Glisson(RWG)基函数通过矩量法(MoM)成功求解磁场积分方程(MFIE)时,准确计算几乎奇异的双表面积分是必不可少的,特别是对于小导体的散射分析对象。在本文中,MFIE使用了一种精确的奇异点提取技术,以避免对测试三角形积分的对数奇异点。几个小而尖锐的导电物体的数值示例表明,使用新技术可以提高MFIE的精度。此外,当使用迭代方程求解器时,MFIE的收敛速度比电场积分方程(EFIE)快得多,这意味着使用这种新的奇异性提取技术,效率高,是非常低频小尖锐导电物体问题的合适选择。

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