An Efficient 2-D WLP-FDTD Method Utilizing Vertex-Based Domain Decomposition Scheme

In this letter, an efficient vertex-based domain decomposition technique is introduced into the unconditionally stable finite-difference time-domain (FDTD) method based on weighted Laguerre polynomials (WLPs). In the two dimensional (2-D) transversal electric (TE) case, the vertex-based partitioning...

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Bibliographic Details
Published in:IEEE microwave and wireless components letters 2015-12, Vol.25 (12), p.769-771
Main Authors: Wei, Xiao-Kun, Shao, Wei, Shi, Sheng-Bing, Wang, Bing-Zhong
Format: Article
Language:English
Subjects:
Domain decomposition
Finite difference method
Finite difference methods
Laguerre polynomials
Magnetic fields
Mathematical analysis
Mathematical model
Mathematical models
Microwaves
Partitioning
Polynomials
Schur complement system
Sparse matrices
Time-domain analysis
vertex-based partitioning
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Summary:In this letter, an efficient vertex-based domain decomposition technique is introduced into the unconditionally stable finite-difference time-domain (FDTD) method based on weighted Laguerre polynomials (WLPs). In the two dimensional (2-D) transversal electric (TE) case, the vertex-based partitioning scheme is implemented and the magnetic field is updated implicitly. After the whole computational domain is decomposed into multiple subdomains with the vertex-based partitioning scheme, the large sparse matrix equation generated by the 2-D WLP-FDTD method is transformed into some independent small ones. A numerical example is presented to validate the accuracy and efficiency of the proposed method.
ISSN:1531-1309
2771-957X
1558-1764
2771-9588
DOI:10.1109/LMWC.2015.2495210