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Title: Fundamental schemes for efficient unconditionally stable implicit finite-difference time-domain methods
Authors: Tan, Eng Leong
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2008
Source: Tan, E. L. (2008). Fundamental schemes for efficient unconditionally stable implicit finite-difference time-domain methods. IEEE Transactions on Antennas and Propagation, 56(1), 170-177. doi:10.1109/TAP.2007.913089
Journal: IEEE Transactions on Antennas and Propagation
Abstract: Ggeneralized formulations of fundamental schemes for efficient unconditionally stable implicit finite-difference time-domain (FDTD) methods are presented. The fundamental schemes constitute a family of implicit schemes that feature similar fundamental updating structures, which are in simplest forms with most efficient right-hand sides. The formulations of fundamental schemes are presented in terms of generalized matrix operator equations pertaining to some classical splitting formulae, including those of alternating direction implicit, locally one-dimensional and split-step schemes. To provide further insights into the implications and significance of fundamental schemes, the analyses are also extended to many other schemes with distinctive splitting formulae. Detailed algorithms are described for new efficient implementations of the unconditionally stable implicit FDTD methods based on the fundamental schemes. A comparative study of various implicit schemes in their original and new implementations is carried out, which includes comparisons of their computation costs and efficiency gains.
ISSN: 0018-926X
DOI: 10.1109/TAP.2007.913089
Rights: © 2008 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:
Fulltext Permission: open
Fulltext Availability: With Fulltext
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