2D Efficient Unconditionally Stable Meshless FDTD Algorithm

This paper presents an efficient weighted Laguerre polynomials based meshless finite-difference time domain (WLP-MFDTD). By decomposing the coefficients of the system matrix and adding a perturbation term, a factorization-splitting scheme is introduced. The huge sparse matrix is transformed into two...

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Main Authors: Kang Luo, Yun Yi, Yantao Duan, Boao Xu, Bin Chen
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2016/8749071
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author Kang Luo
Yun Yi
Yantao Duan
Boao Xu
Bin Chen
author_facet Kang Luo
Yun Yi
Yantao Duan
Boao Xu
Bin Chen
author_sort Kang Luo
collection DOAJ
description This paper presents an efficient weighted Laguerre polynomials based meshless finite-difference time domain (WLP-MFDTD). By decomposing the coefficients of the system matrix and adding a perturbation term, a factorization-splitting scheme is introduced. The huge sparse matrix is transformed into two N×N matrices with 9 unknown elements in each row regardless of the duplicated ones. Consequently, compared with the conventional implementation, the CPU time and memory requirement can be saved greatly. The perfectly matched layer absorbing boundary condition is also extended to this approach. A numerical example demonstrates the capability and efficiency of the proposed method.
format Article
id doaj-art-1b19399a60f94086a14c51b6b8e43dd2
institution Kabale University
issn 1687-5869
1687-5877
language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series International Journal of Antennas and Propagation
spelling doaj-art-1b19399a60f94086a14c51b6b8e43dd22025-02-03T01:11:31ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772016-01-01201610.1155/2016/874907187490712D Efficient Unconditionally Stable Meshless FDTD AlgorithmKang Luo0Yun Yi1Yantao Duan2Boao Xu3Bin Chen4National Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, PLA University of Science and Technology, Nanjing 210007, ChinaNational Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, PLA University of Science and Technology, Nanjing 210007, ChinaNational Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, PLA University of Science and Technology, Nanjing 210007, ChinaNational Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, PLA University of Science and Technology, Nanjing 210007, ChinaNational Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, PLA University of Science and Technology, Nanjing 210007, ChinaThis paper presents an efficient weighted Laguerre polynomials based meshless finite-difference time domain (WLP-MFDTD). By decomposing the coefficients of the system matrix and adding a perturbation term, a factorization-splitting scheme is introduced. The huge sparse matrix is transformed into two N×N matrices with 9 unknown elements in each row regardless of the duplicated ones. Consequently, compared with the conventional implementation, the CPU time and memory requirement can be saved greatly. The perfectly matched layer absorbing boundary condition is also extended to this approach. A numerical example demonstrates the capability and efficiency of the proposed method.http://dx.doi.org/10.1155/2016/8749071
spellingShingle Kang Luo
Yun Yi
Yantao Duan
Boao Xu
Bin Chen
2D Efficient Unconditionally Stable Meshless FDTD Algorithm
International Journal of Antennas and Propagation
title 2D Efficient Unconditionally Stable Meshless FDTD Algorithm
title_full 2D Efficient Unconditionally Stable Meshless FDTD Algorithm
title_fullStr 2D Efficient Unconditionally Stable Meshless FDTD Algorithm
title_full_unstemmed 2D Efficient Unconditionally Stable Meshless FDTD Algorithm
title_short 2D Efficient Unconditionally Stable Meshless FDTD Algorithm
title_sort 2d efficient unconditionally stable meshless fdtd algorithm
url http://dx.doi.org/10.1155/2016/8749071
work_keys_str_mv AT kangluo 2defficientunconditionallystablemeshlessfdtdalgorithm
AT yunyi 2defficientunconditionallystablemeshlessfdtdalgorithm
AT yantaoduan 2defficientunconditionallystablemeshlessfdtdalgorithm
AT boaoxu 2defficientunconditionallystablemeshlessfdtdalgorithm
AT binchen 2defficientunconditionallystablemeshlessfdtdalgorithm