DocumentCode :
1415782
Title :
Lyapunov and Matrix Norm Stability Analysis of ADI-FDTD Schemes for Doubly Lossy Media
Author :
Heh, Ding Yu ; Tan, Eng Leong
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
Volume :
59
Issue :
3
fYear :
2011
fDate :
3/1/2011 12:00:00 AM
Firstpage :
979
Lastpage :
986
Abstract :
Lyapunov and matrix norm stability analysis is applied on various alternating-direction-implicit finite-difference time-domain (ADI-FDTD) schemes for doubly lossy media. The stability analysis is performed rigorously in both time and Fourier domains. Among the schemes considered are averaging, forward-backward, backward-forward, forward-forward, exponential time differencing and backward-backward. From the analysis, it is found that all schemes except backward-backward scheme are unconditionally stable. For backward-backward scheme, the condition for stability is determined.
Keywords :
absorbing media; finite difference time-domain analysis; matrix algebra; stability; ADI-FDTD schemes; Fourier domains; Lyapunov norm stability analysis; alternating-direction-implicit finite-difference time-domain scheme; backward-backward scheme; doubly lossy media; exponential time differencing; forward-backward schemes; matrix norm stability analysis; time domains; Alternating-direction-implicit finite-difference time-domain (ADI-FDTD); lossy media; stability;
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.2010.2103026
Filename :
5677583
Link To Document :
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