求解电磁场问题的有效数值工具

Proceedings of the International Conference on Electromagnetic Interference and Compatibility (IEEE Cat. No.02TH8620) Pub Date : 2002-08-07 DOI:10.1109/ICEMIC.2002.1006460

B. P. Patel, M. Ganapathi, T. Mohan Krishanan

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引用次数: 1

摘要

有限元法使人们能够解决大规模、复杂的电磁问题。它也非常适合自动化。本文提出了一种基于三阶C/sup 1/三角形有限元的二维电磁场问题的数值解。与文献中基于标准拉格朗日多项式的有限元相比，这种新有限元的设计涉及到场变量及其导数作为自由度。并与标准单元法进行了性能/有效性对比研究。在几乎相同的精度下，基于当前公式要处理的方程的数量减少到标准元素的一半以下，这反过来又大大节省了CPU时间和内存需求。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An efficient numerical tool for electromagnetic field problems

The finite element method allows one to solve large-scale, complex electromagnetic problems. It is also highly amenable to automation. Here, a numerical solution based on third-order C/sup 1/ triangular finite element is proposed for solving 2D electromagnetic field problems. The design of this new finite element involves field variable and its derivatives as degrees of freedom compared to the standard Lagrangian polynomial based finite element available in the literature. The performance/effectiveness of the present method is studied against that of standard element. For almost same accuracy, the number of equations to be handled based on present formulation reduces to less than half of those of standard element, which, in turn, leads to significant saving in CPU time and memory requirements.

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Proceedings of the International Conference on Electromagnetic Interference and Compatibility (IEEE Cat. No.02TH8620)

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