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Chinese Physics, 2004, Vol. 13(11): 1892-1895    DOI: 10.1088/1009-1963/13/11/022
PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES Prev   Next  

One-step alternating direction implicit FDTD algorithm

Liu Shao-Bin (刘少斌), Liu San-Qiu (刘三秋)
School of Sciences, Nanchang University, Nanchang 330047, China
Abstract  In this paper, a novel unconditionally stable alternating direction implicit finite-different time-domain method (ADI-FDTD) called the one-step ADI-FDTD method is presented, where the calculation for one discrete time step is performed using only one procedure, but not the original two sub-updating procedures. Consequently, the proposed one-step ADI-FDTD methods have consumed less computer memory and computation resources and have been faster than the conventional ADI-FDTD methods. We analytically and numerically verified that the new algorithm is unconditionally stable and free from the Courant condition.
Keywords:  ADI-FDTD      FDTD methods      Courant condition      unconditionally stable  
Received:  27 November 2003      Revised:  26 April 2004      Accepted manuscript online: 
PACS:  02.70.Bf (Finite-difference methods)  
Fund: Project supported by the National High Technology Research and Development Programme of China (Grant No 2002AA835040), and Key Laboratory of Defence Technology (Grant No 51483010301KG0102).

Cite this article: 

Liu Shao-Bin (刘少斌), Liu San-Qiu (刘三秋) One-step alternating direction implicit FDTD algorithm 2004 Chinese Physics 13 1892

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