E-H Time-Domain Finite-Element Method with Hierarchical Vector Basis Functions for Analysis of Cavity and Waveguide Structures

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2016, Vol. 33 ›› Issue (3): 333-340.

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E-H Time-Domain Finite-Element Method with Hierarchical Vector Basis Functions for Analysis of Cavity and Waveguide Structures

YE Zhenbao, ZHOU Haijing

Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Received:2015-03-18 Revised:2015-06-24 Online:2016-05-25 Published:2016-05-25

Abstract

Abstract: We present E-H time-domain finite-element method using hierarchical high-order vector basis functions. Electric fields and magnetic fields are computed together and Crank-Nicolson difference scheme is implemented to obtain an unconditionally stable algorithm. Meanwhile, perfectly matched layers are used for truncation of unbounded regions. Three-dimensional cavity and waveguide structures are simulated. It shows that accuracy is improved by E-H TDFEM method with higher-order basis functions.

Key words: hierarchical basis functions, higher-order basis functions, time-domain finite-element method, Crank-Nicolson scheme

CLC Number:

YE Zhenbao, ZHOU Haijing. E-H Time-Domain Finite-Element Method with Hierarchical Vector Basis Functions for Analysis of Cavity and Waveguide Structures[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(3): 333-340.

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E-H Time-Domain Finite-Element Method with Hierarchical Vector Basis Functions for Analysis of Cavity and Waveguide Structures

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