Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media

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, forwa...

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Main Authors:	Heh, Ding Yu, Tan, Eng Leong
Other Authors:	School of Electrical and Electronic Engineering
Format:	Article
Language:	English
Published:	2020
Subjects:	Engineering::Electrical and electronic engineering Alternating-direction-implicit Finite-difference time-domain Lossy Media
Online Access:	https://hdl.handle.net/10356/137208
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Institution:	Nanyang Technological University
Language:	English

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spelling	sg-ntu-dr.10356-1372082020-03-06T05:15:59Z Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media Heh, Ding Yu Tan, Eng Leong School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Alternating-direction-implicit Finite-difference time-domain Lossy Media 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. Accepted version 2020-03-06T05:15:59Z 2020-03-06T05:15:59Z 2010 Journal Article Heh, D. Y., & Tan, E. L. (2011). Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media. IEEE Transactions on Antennas and Propagation, 59(3), 979-986. doi:10.1109/tap.2010.2103026 0018-926X https://hdl.handle.net/10356/137208 10.1109/TAP.2010.2103026 2-s2.0-79952167587 3 59 979 986 en IEEE Transactions on Antennas and Propagation © 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/TAP.2010.2103026 application/pdf
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	Engineering::Electrical and electronic engineering Alternating-direction-implicit Finite-difference time-domain Lossy Media
spellingShingle	Engineering::Electrical and electronic engineering Alternating-direction-implicit Finite-difference time-domain Lossy Media Heh, Ding Yu Tan, Eng Leong Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media
description	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.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Heh, Ding Yu Tan, Eng Leong
format	Article
author	Heh, Ding Yu Tan, Eng Leong
author_sort	Heh, Ding Yu
title	Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media
title_short	Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media
title_full	Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media
title_fullStr	Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media
title_full_unstemmed	Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media
title_sort	lyapunov and matrix norm stability analysis of adi-fdtd schemes for doubly lossy media
publishDate	2020
url	https://hdl.handle.net/10356/137208
_version_	1681047489257406464

Lyapunov and matrix norm stability analysis of ADI-FDTD schemes for doubly lossy media

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