NDLI: Numerical dispersion analysis of symplectic and ADI schemes

Content Provider	IEEE Xplore Digital Library
Author	Xin-gang Ren Zhi-xiang Huang Xian-liang Wu Si-long Lu Yi-cai Mei Hong-mei Du Hui Wang Jing Shen
Copyright Year	2012
Description	Author affiliation: Department of Physics and Electronic Engineering, Hefei Normal University, Hefei, China (Jing Shen) \|\| Key Lab of Intelligent Computing & Signal Processing, Ministry of Education, Anhui University, Hefei, China (Xin-gang Ren; Zhi-xiang Huang; Xian-liang Wu; Si-long Lu; Yi-cai Mei; Hong-mei Du; Hui Wang)
Abstract	In this paper, Maxwell's equations are taken as a Hamiltonian system and then written as Hamiltonian canonical equations by using the functional variation method. The symplectic and ADI schemes, which can be extracted by applying two types of approximation to the time evolution operator, are explicit and implicit scheme in computational electromagnetic simulation, respectively. Since Finite-difference time-domain (FDTD) encounter low accuracy and high dispersion, the more accurate simulation methods can be derived by evaluating the curl operator in the spatial direction with kinds of high order approaches including high order staggered difference, compact finite difference and scaling function approximations. The numerical dispersion of the symplectic and ADI schemes combining with the three high order spatial difference approximations have been analyzed. It has been shown that symplectic scheme combining with compact finite difference and ADI scheme combining with scaling function performance better than other methods. Both schemes can be usefully employed for simulating and solving the large scale electromagnetic problems.
Starting Page	1
Ending Page	4
File Size	2406270
Page Count	4
File Format	PDF
ISBN	9781467321846
e-ISBN	9781467321853
DOI	10.1109/ICMMT.2012.6230437
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-05-05
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Dispersion Finite difference methods Function approximation Time domain analysis Maxwell equations Mathematical model
Content Type	Text
Resource Type	Article

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