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Triangular Grids: A Review of Resonator and Waveguide Analysis with Classical FIT and Some Reflections on Yee-like FIT- and FEM-Schemes

机译:三角网格:经典FIT的谐振器和波导分析的回顾以及对类似Yee的FIT和FEM方案的一些反思

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摘要

The focus of this paper is on the solution of Maxwell's equations on triangular orthogonal grids for time-harmonic fields in cylindrically symmetric resonators and general time dependant fields in length-homogeneous waveguides, respectively, The method is based on the Finite Integration Technique (FIT). The 2D simulation on a structured triangular grid combines the advantages of FIT, as e.g. the consistency of the method or the numerical advantage of banded system matrices, with the geometrical flexibility of non-coordinate grids. FIT on triangular grids was first introduced in [3], [4]. This paper presents a review describing the underlying theory in FIT operator notation first introduced in [2] and puts this classical approach for FIT on triangular grids in relation to actual research in the field.
机译:本文的重点是分别针对圆柱对称谐振器中的时间谐波场和长度均质波导中的一般时间相关场的三角正交网格上的麦克斯韦方程组的求解,该方法基于有限积分技术(FIT) 。结构化三角形网格上的2D模拟结合了FIT的优势,例如方法的一致性或带状系统矩阵的数值优势,以及非坐标网格的几何灵活性。在[3],[4]中首次引入了三角网格上的FIT。本文对[2]中首次引入的FIT运算符表示法的基本理论进行了综述,并将这种经典的FIT方法应用于三角形网格并与该领域的实际研究相关。

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