Title :
An unconditionally stable 3-D ADI-MRTD method free of the CFL stability condition
Author :
Chen, Zhizhang ; Zhang, Jiazong
Author_Institution :
Dept. of Electr. & Comput. Eng., Dalhousie Univ., Halifax, NS, Canada
Abstract :
In this paper, an alternating direction implicit (ADI) technique is applied to the recently developed multiresolution time-domain (MRTD) method, resulting in an unconditionally stable ADI-MRTD scheme free of the Courant-Friedich-Lecy (CFL) stability condition. The unconditional stability is theoretically proved, and preliminary numerical results are presented to validate the scheme. Because the scheme is now free of the stability condition, its time step is determined only by modeling accuracy. The price for having the unconditional stability is, however, that the required computation memory becomes almost twice of that for the original MRTD.
Keywords :
electromagnetism; finite difference time-domain analysis; numerical stability; Courant-Friedich-Lecy stability condition; FDTD; alternating direction implicit technique; computation memory; electromagnetic problems; modeling accuracy; multiresolution time-domain method; numerical results; time step; unconditionally stable 3-D ADI-MRTD method; Computational modeling; Discrete wavelet transforms; Fast Fourier transforms; Finite difference methods; Heat transfer; Numerical stability; Physics computing; Spatial resolution; Time domain analysis; Two dimensional displays;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/7260.941786
