Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/137216
Title: Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations
Authors: Tan, Eng Leong
Heh, Ding Yu
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2017
Source: Tan, E. L., & Heh, D. Y. (2017). Stability analyses of nonuniform time-step LOD-FDTD methods for electromagnetic and thermal simulations. IEEE Journal on Multiscale and Multiphysics Computational Techniques, 2, 183-193. doi:10.1109/jmmct.2017.2769022
Journal: IEEE Journal on Multiscale and Multiphysics Computational Techniques
Abstract: This paper presents the stability analyses of nonuniform time-step (NUTS) locally one-dimensional finite-difference time-domain (LOD-FDTD) methods for electromagnetic (EM) and thermal simulations. The overall (spatial domain) transition matrix for the whole 3-D computational domain is considered for NUTS, which takes into consideration general inhomogeneous and lossy media. Rigorous stability analyses of NUTS LOD-FDTD methods are provided for both EM and thermal simulations. The analytical proofs of unconditional stability are performed through careful assertion of respective matrix definiteness, along with spectral radius and induced matrix norm analyses. Proper transformations and manipulations are carried out differently for EM and thermal analyses to suit different matrix properties. In each analysis, the fundamental form of the transition matrix is utilized with only one main inverse term, which results in much simpler and concise analysis. It is shown that the NUTS LOD-FDTD methods are unconditionally stable for both EM and thermal simulations.
URI: https://hdl.handle.net/10356/137216
ISSN: 2379-8815
DOI: 10.1109/JMMCT.2017.2769022
Schools: School of Electrical and Electronic Engineering 
Rights: © 2017 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/JMMCT.2017.2769022
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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