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A Hybrid FETD-FDTD Method with Nonconforming Meshes

Published online by Cambridge University Press:  20 August 2015

Bao Zhu ,
Jiefu Chen ,
Wanxie Zhong  and
Qing Huo Liu
Bao Zhu*
Affiliation:
State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, P.R. China Department of Electrical and Computer Engineering, Duke University, Durham NC 27708, USA
Jiefu Chen*
Affiliation:
Department of Electrical and Computer Engineering, Duke University, Durham NC 27708, USA
Wanxie Zhong*
Affiliation:
State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, P.R. China
Qing Huo Liu*
Affiliation:
Department of Electrical and Computer Engineering, Duke University, Durham NC 27708, USA
*
Email:zhubao.dlut@gmail.com
Email:jiefu.chen@duke.edu
Email:wxzhong@dlut.edu.cn
Corresponding author.Email:qhliu@ee.duke.edu
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Abstract

A quasi non-overlapping hybrid scheme that combines the finite-difference time-domain (FDTD) method and the finite-element time-domain (FETD) method with nonconforming meshes is developed for time-domain solutions of Maxwell’s equations. The FETD method uses mixed-order basis functions for electric and magnetic fields, while the FDTD method uses the traditional Yee’s grid; the two methods are joined by a buffer zone with the FETD method and the discontinuous Galerkin method is used for the domain decomposition in the FETD subdomains. The main features of this technique is that it allows non-conforming meshes and an arbitrary numbers of FETD and FDTD subdomains. The hybrid method is completely stable for the time steps up to the stability limit for the FDTD method and FETD method. Numerical results demonstrate the validity of this technique.

Keywords

65L6065L1220B4083L50Finite-element time-domainfinite-difference time-domaindiscontinuous Galerkindomain decompositionnon-conforming mesh
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 3 , March 2011 , pp. 828 - 842
Copyright
Copyright © Global Science Press Limited 2011

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