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首页> 外文期刊>Applied Computational Electromagnetics Society journal >Minimizing The 3D Solenoidal Basis Set in Method of Moments Based Volume Integral Equation
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Minimizing The 3D Solenoidal Basis Set in Method of Moments Based Volume Integral Equation

机译：在基于矩的体积积分方程方法中最小化3D螺线管基组

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摘要

A method for completely minimizing a 3D-solenoidal basis set, and identifying its linearly independent basis functions in method of moments (MoM) based volume integral equation (VIE) is presented. The method uses the connecting information of the geometric mesh and the properties of the 3D solenoidal basis function to remove the null space of the basis set. Consequently, the approach is not prone to numerical inaccuracies due to finite machine precision resulting from matrix manipulations. In addition, our method is not restricted to simply connected or contiguous mesh regions; it is applicable to a wide variety of complicated mesh regions featuring holes and voids. Finally, an expression for determining the minimum number of linearly independent solenoidal basis functions in a given tetrahedral mesh is presented.
机译：提出了一种完全最小化3D电磁铁基集并在基于矩量法（MoM）的体积积分方程（VIE）中识别其线性独立基函数的方法。该方法使用几何网格的连接信息和3D螺线管基础函数的属性来删除基础集的空空间。因此，由于矩阵处理产生的有限的机器精度，该方法不易出现数值错误。另外，我们的方法不限于简单的连接或连续的网格区域。它适用于各种具有孔和空隙的复杂网格区域。最后，给出了确定给定四面体网格中线性独立螺线管基函数的最小数量的表达式。

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