Commun. Comput. Phys., 9 (2011), pp. 828-842.


A Hybrid FETD-FDTD Method with Nonconforming Meshes

Bao Zhu 1, Jiefu Chen 2, Wanxie Zhong 3, Qing Huo Liu 2*

1 State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, P.R. China; and Department of Electrical and Computer Engineering, Duke University, Durham NC 27708, USA.
2 Department of Electrical and Computer Engineering, Duke University, Durham NC 27708, USA.
3 State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, P.R. China.

Received 23 September 2009; Accepted (in revised version) 14 April 2010
Available online 17 September 2010
doi:10.4208/cicp.230909.140410s

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.

AMS subject classifications: 65L60, 65L12, 20B40, 83L50

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Key words: Finite-element time-domain, finite-difference time-domain, discontinuous Galerkin, domain decomposition, non-conforming mesh.

*Corresponding author.
Email: zhubao.dlut@gmail.com (B. Zhu), jiefu.chen@duke.edu (J. Chen), wxzhong@dlut.edu.cn (W. Zhong), qhliu@ee.duke.edu (Q. H. Liu)
 

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