An Efficient 3-D HIE-FDTD Method With Weaker Stability Condition

For analyzing the electromagnetic objects with the fine structures in one direction efficiently, a three-dimensional (3-D) hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) method with weaker stability condition is proposed in this paper. First, by adopting the alternating-direction...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2016-03, Vol.64 (3), p.998-1004
Main Authors: Wang, Jianbao, Wang, Jinlong, Zhou, Bihua, Gao, Cheng
Format: Article
Language:English
Subjects:
Antennas
Courant-Friedrich-Levy (CFL) stability condition
Finite difference method
Finite difference methods
hybrid implicit-explicit (HIE) scheme
Mathematical analysis
Mathematical model
Mathematical models
Maxwell's equations
Nodular iron
Numerical stability
Power system stability
Stability
Stability criteria
Terms-Finite-difference time-domain (FDTD) method
Three dimensional
Time-domain analysis
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Summary:For analyzing the electromagnetic objects with the fine structures in one direction efficiently, a three-dimensional (3-D) hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) method with weaker stability condition is proposed in this paper. First, by adopting the alternating-direction implicit (ADI) scheme, the 3-D Maxwell's equations are subdivided into two substep procedures, and then by adding some disturbance terms into two substeps, respectively, the proposed method is derived. Compared with the existing HIE-FDTD methods, the Courant-Friedrichs-Lewy (CFL) stability condition of the proposed HIE-FDTD method is weaker, which means the proposed method is more efficient due to the possibility of choosing the larger time step size. In addition, the relationships between the CFL stability conditions and the numerical dispersion errors of the traditional FDTD method, the three HIE-FDTD methods, and the ADI-FDTD method are summarized in order to provide a basis for the choice among them.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2015.2513100