An Efficient Laguerre-Based BOR-FDTD Method Using Gauss–Seidel Procedure
| Autor: | Yun Yi, Yi-Gang Wang, Zheng Chen, Bin Chen, Yan-Tao Duan, Hai-Lin Chen |
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| Rok vydání: | 2016 |
| Předmět: |
Laguerre's method
Iterative method Mathematical analysis Finite-difference time-domain method Finite difference method 020206 networking & telecommunications 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences law.invention law 0202 electrical engineering electronic engineering information engineering Laguerre polynomials Cartesian coordinate system Algorithm design Gauss–Seidel method 0101 mathematics Electrical and Electronic Engineering Mathematics |
| Zdroj: | IEEE Transactions on Antennas and Propagation. 64:1829-1839 |
| ISSN: | 1558-2221 0018-926X |
| DOI: | 10.1109/tap.2016.2540644 |
| Popis: | In this paper, an efficient Laguerre-based body of revolution finite-difference time-domain (BOR-FDTD) method is proposed. A perturbation term and the Gauss–Seidel method are introduced to get the new algorithm. The splitting error caused by the perturbation term can be reduced to a low level by using the iterative method. To be different from its counterpart in the Cartesian coordinate system, the perturbation term used for the off-axis field is not applicable to the field on the axis in the proposed method. On the axis, it is not necessary to add the perturbation term and no nonphysical intermediate variable is involved. No splitting error compensatory term is used for the field on the axis during the iteration. Another difference is that the perturbation term in the proposed method causes a pronounced splitting error on the field point which is close to the axis. Several local iterations near the axis are needed since the splitting error near the axis is especially large. To validate the proposed method, two numerical examples are given. Numerical results show that it obtains a good convergence. Meanwhile, the comparison of the computational expenditure between the proposed method and several other methods indicates its performance. |
| Databáze: | OpenAIRE |
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