A Comparison of Some Finite Element Time Domain Formulations in Electromagnetics

N. Marais, D. Davidson
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引用次数: 1

Abstract

This paper compares three full-wave finite element time domain (FETD) formulations. The first is based on the vector wave equation; the others on Maxwell's equations, viz. the EBHD formulation that discretises Eoarr, Boarr, Hoarr and Doarr and the EB formulation that discretises only Eoarr and Boarr. The latter two formulations use a combination of 1-form and 2-form discretisation to avoid an auxiliary mesh. A method for making the EBHD formulation operational is presented and conditions for finite difference time domain (FDTD)-like explicit operation are discussed. Numerical results for a three dimensional cavity and a coaxial transmission line show that the EBHD formulation has serious performance limitations.
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电磁学中几种时域有限元公式的比较
本文比较了三种全波时域有限元(FETD)公式。第一种是基于矢量波动方程;另一种是麦克斯韦方程,即将Eoarr、Boarr、horr和Doarr离散化的EBHD公式,以及只将Eoarr和Boarr离散化的EB公式。后两种公式使用1-form和2-form离散化的组合,以避免辅助网格。给出了一种使EBHD公式可操作的方法,并讨论了类时域有限差分(FDTD)显式运算的条件。三维腔体和同轴传输线的数值结果表明,EBHD公式存在严重的性能限制。
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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