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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Bibliographic Details
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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Summary: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.
ISSN:1687-5869
1687-5877