Modified splitting FDTD methods for two-dimensional Maxwell's equations
type: Item
instance of: scholarly article
title: Modified splitting FDTD methods for two-dimensional Maxwell's equations
zbMATH Open document ID: 1426.78006
DOI: 10.1155/2017/6063176
author: Shouhui Zhai
author: Liping Gao
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: In this paper, we develop a new method to reduce the error in the splitting finite-difference method of Maxwell's equations. By this method two modified splitting FDTD methods (MS-FDTDI, MS-FDTDII) for the two-dimensional Maxwell equations are proposed. It is shown that the two methods are second-order accurate in time and space and unconditionally stable by Fourier methods. By energy method, it is proved that MS-FDTDI is second-order convergent. By deriving the numerical dispersion (ND) relations, we prove rigorously that MS-FDTDI has less ND errors than the ADI-FDTD method and the ND errors of ADI-FDTD are less than those of MS-FDTDII. Numerical experiments for computing ND errors and simulating a wave guide problem and a scattering problem are carried out and the efficiency of the MS-FDTDI and MS-FDTDII methods is confirmed.
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 6972290
Wikidata QID: Q59147659
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6063176
OpenAlex ID: W2589279453
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description: scientific article; zbMATH DE number 6972290