Unconditionally stable fundamental LOD-FDTD method with second-order temporal accuracy and complying divergence

An unconditionally stable fundamental locally one-dimensional (LOD) finite-difference time-domain (FDTD) method with second-order temporal accuracy and complying divergence (CD) (denoted as LOD2-CD-FDTD) is presented for three-dimensional (3-D) Maxwell's equations. While the conventional LOD-FD...

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Main Authors: Gan, Theng Huat, Tan, Eng Leong
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2013
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Online Access:https://hdl.handle.net/10356/105685
http://hdl.handle.net/10220/17728
http://dx.doi.org/10.1109/TAP.2013.2242036
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Institution: Nanyang Technological University
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spelling sg-ntu-dr.10356-1056852019-12-06T21:55:47Z Unconditionally stable fundamental LOD-FDTD method with second-order temporal accuracy and complying divergence Gan, Theng Huat Tan, Eng Leong School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering An unconditionally stable fundamental locally one-dimensional (LOD) finite-difference time-domain (FDTD) method with second-order temporal accuracy and complying divergence (CD) (denoted as LOD2-CD-FDTD) is presented for three-dimensional (3-D) Maxwell's equations. While the conventional LOD-FDTD method does not have complying divergence, the LOD2-CD-FDTD method has complying divergence in a manner analogous to the conventional explicit FDTD method. The update procedures for a family of LOD-FDTD methods that employ similar splitting matrix operators are presented. By extending the previous concept of achieving second-order temporal accuracy for the LOD2-FDTD method via implicit output processing, we hereby propose novel, explicit output processing that not only retains second-order temporal accuracy, but also complying divergence for the LOD2-CD-FDTD method. The current source implementation for the LOD2-CD-FDTD method involves source-incorporation in only the first procedure. To further enhance efficiency, the LOD2-CD-FDTD method is formulated into the fundamental LOD2-CD-FDTD method with efficient matrix-operator-free right-hand sides. Subsequently, detailed implementation for the fundamental LOD2-CD-FDTD method is presented. Analytical proof is provided to ascertain the second-order temporal accuracy of the LOD2-CD-FDTD method. Numerical results and examples are also presented to validate the divergence-complying property of the LOD2-CD-FDTD method. 2013-11-15T07:33:53Z 2019-12-06T21:55:47Z 2013-11-15T07:33:53Z 2019-12-06T21:55:47Z 2013 2013 Journal Article Gan, T. H., & Tan, E. L. (2013). Unconditionally Stable Fundamental LOD-FDTD Method With Second-Order Temporal Accuracy and Complying Divergence. IEEE Transactions on Antennas and Propagation, 61(5), 2630-2638. 0018-926X https://hdl.handle.net/10356/105685 http://hdl.handle.net/10220/17728 http://dx.doi.org/10.1109/TAP.2013.2242036 en IEEE transactions on antennas and propagation
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic DRNTU::Engineering::Electrical and electronic engineering
spellingShingle DRNTU::Engineering::Electrical and electronic engineering
Gan, Theng Huat
Tan, Eng Leong
Unconditionally stable fundamental LOD-FDTD method with second-order temporal accuracy and complying divergence
description An unconditionally stable fundamental locally one-dimensional (LOD) finite-difference time-domain (FDTD) method with second-order temporal accuracy and complying divergence (CD) (denoted as LOD2-CD-FDTD) is presented for three-dimensional (3-D) Maxwell's equations. While the conventional LOD-FDTD method does not have complying divergence, the LOD2-CD-FDTD method has complying divergence in a manner analogous to the conventional explicit FDTD method. The update procedures for a family of LOD-FDTD methods that employ similar splitting matrix operators are presented. By extending the previous concept of achieving second-order temporal accuracy for the LOD2-FDTD method via implicit output processing, we hereby propose novel, explicit output processing that not only retains second-order temporal accuracy, but also complying divergence for the LOD2-CD-FDTD method. The current source implementation for the LOD2-CD-FDTD method involves source-incorporation in only the first procedure. To further enhance efficiency, the LOD2-CD-FDTD method is formulated into the fundamental LOD2-CD-FDTD method with efficient matrix-operator-free right-hand sides. Subsequently, detailed implementation for the fundamental LOD2-CD-FDTD method is presented. Analytical proof is provided to ascertain the second-order temporal accuracy of the LOD2-CD-FDTD method. Numerical results and examples are also presented to validate the divergence-complying property of the LOD2-CD-FDTD method.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Gan, Theng Huat
Tan, Eng Leong
format Article
author Gan, Theng Huat
Tan, Eng Leong
author_sort Gan, Theng Huat
title Unconditionally stable fundamental LOD-FDTD method with second-order temporal accuracy and complying divergence
title_short Unconditionally stable fundamental LOD-FDTD method with second-order temporal accuracy and complying divergence
title_full Unconditionally stable fundamental LOD-FDTD method with second-order temporal accuracy and complying divergence
title_fullStr Unconditionally stable fundamental LOD-FDTD method with second-order temporal accuracy and complying divergence
title_full_unstemmed Unconditionally stable fundamental LOD-FDTD method with second-order temporal accuracy and complying divergence
title_sort unconditionally stable fundamental lod-fdtd method with second-order temporal accuracy and complying divergence
publishDate 2013
url https://hdl.handle.net/10356/105685
http://hdl.handle.net/10220/17728
http://dx.doi.org/10.1109/TAP.2013.2242036
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