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.
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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