Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations
Optimized operator splitting methods for numerical integration of the time domain Maxwell's equations in computational electromagnetics (CEM) are proposed for the first time. The methods are based on splitting the time domain evolution operator of Maxwell's equations into suboperators, and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2012/956431 |
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| _version_ | 1832546569000321024 |
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| author | Z. X. Huang X. L. Wu W. E. I. Sha B. Wu |
| author_facet | Z. X. Huang X. L. Wu W. E. I. Sha B. Wu |
| author_sort | Z. X. Huang |
| collection | DOAJ |
| description | Optimized operator splitting methods for numerical integration of the time domain Maxwell's equations in computational electromagnetics (CEM) are proposed for the first time. The methods are based on splitting the time domain evolution operator of Maxwell's equations into suboperators, and corresponding time coefficients are obtained by reducing the norm of truncation terms to a minimum. The general high-order staggered finite difference is introduced for discretizing the three-dimensional curl operator in the spatial domain. The detail of the schemes and explicit iterated formulas are also included. Furthermore, new high-order Padé approximations are adopted to improve the efficiency of the proposed methods. Theoretical proof of the stability is also included. Numerical results are presented to demonstrate the effectiveness and efficiency of the schemes. It is found that the optimized schemes with coarse discretized grid and large Courant-Friedrichs-Lewy (CFL) number can obtain satisfactory numerical results, which in turn proves to be a promising method, with advantages of high accuracy, low computational resources and facility of large domain and long-time simulation. In addition, due to the generality, our optimized schemes can be extended to other science and engineering areas directly. |
| format | Article |
| id | doaj-art-f0c5304de6714793bffe0e2e5ad4e48c |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-f0c5304de6714793bffe0e2e5ad4e48c2025-02-03T06:48:29ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772012-01-01201210.1155/2012/956431956431Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's EquationsZ. X. Huang0X. L. Wu1W. E. I. Sha2B. Wu3Key Lab of Intelligent Computing & Signal Processing, Anhui University, Hefei 230039, ChinaKey Lab of Intelligent Computing & Signal Processing, Anhui University, Hefei 230039, ChinaDepartment of Electrical and Electronic Engineering, University of Hong Kong, Hong KongKey Lab of Intelligent Computing & Signal Processing, Anhui University, Hefei 230039, ChinaOptimized operator splitting methods for numerical integration of the time domain Maxwell's equations in computational electromagnetics (CEM) are proposed for the first time. The methods are based on splitting the time domain evolution operator of Maxwell's equations into suboperators, and corresponding time coefficients are obtained by reducing the norm of truncation terms to a minimum. The general high-order staggered finite difference is introduced for discretizing the three-dimensional curl operator in the spatial domain. The detail of the schemes and explicit iterated formulas are also included. Furthermore, new high-order Padé approximations are adopted to improve the efficiency of the proposed methods. Theoretical proof of the stability is also included. Numerical results are presented to demonstrate the effectiveness and efficiency of the schemes. It is found that the optimized schemes with coarse discretized grid and large Courant-Friedrichs-Lewy (CFL) number can obtain satisfactory numerical results, which in turn proves to be a promising method, with advantages of high accuracy, low computational resources and facility of large domain and long-time simulation. In addition, due to the generality, our optimized schemes can be extended to other science and engineering areas directly.http://dx.doi.org/10.1155/2012/956431 |
| spellingShingle | Z. X. Huang X. L. Wu W. E. I. Sha B. Wu Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations International Journal of Antennas and Propagation |
| title | Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations |
| title_full | Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations |
| title_fullStr | Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations |
| title_full_unstemmed | Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations |
| title_short | Optimized Operator-Splitting Methods in Numerical Integration of Maxwell's Equations |
| title_sort | optimized operator splitting methods in numerical integration of maxwell s equations |
| url | http://dx.doi.org/10.1155/2012/956431 |
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