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

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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Bibliographic Details
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
Description
Summary: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.

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