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首页> 外文期刊>Applied Computational Electromagnetics Society journal >A Modified LU Recombination Technique for Improving the Performance of Boundary Element Methods at Low Frequencies
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A Modified LU Recombination Technique for Improving the Performance of Boundary Element Methods at Low Frequencies

机译：改进的LU重组技术可提高低频下边界元方法的性能

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摘要

Many numerical electromagnetic modeling techniques that work very well at high frequencies do not work well at lower frequencies. This is directly or indirectly due to the weak coupling between the electric and magnetic fields at low frequencies. One technique for improving the performance of boundary element techniques at low frequencies is through the use of loop-tree basis functions, which decouple the contributions from the vector and scalar electric potential. However, loop-tree basis functions can be difficult to define for large, complex geometries. This paper describes a method for improving the low-frequency performance of boundary element techniques that does not require the explicit definition of loop-tree basis functions. The method is a modified version of an LU recombination method proposed earlier. It automatically detects the linear space spanned by the scalar electric potential and corrects numerical errors during the LU decomposition of the impedance matrix. This method does not require special basis functions and is relatively easy to implement. Several examples are presented to demonstrate the effectiveness of this method.
机译：许多数字电磁建模技术在高频下效果很好，而在低频下效果不好。这直接或间接地归因于低频电场和磁场之间的弱耦合。一种改善低频边界元件技术性能的技术是通过使用循环树基函数，该函数将向量和标量电势的贡献解耦。但是，对于大型，复杂的几何图形，很难定​​义基于循环树的函数。本文介绍了一种无需边界树基础函数的明确定义即可提高边界元技术低频性能的方法。该方法是先前提出的LU重组方法的修改版本。它会自动检测由标量电势跨越的线性空间，并在阻抗矩阵的LU分解过程中校正数值误差。该方法不需要特殊的基础函数，并且相对容易实现。给出了几个例子来证明这种方法的有效性。

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