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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Format: | Article |
Language: | English |
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Wiley
2016-01-01
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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 |
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