A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations
Higher order unconditionally stable methods are effective ways for simulating field behaviors of electromagnetic problems since they are free of Courant-Friedrich-Levy conditions. The development of accurate schemes with less computational expenditure is desirable. A compact fourth-order split-step...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2013/689327 |
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| author | Zhuo Su Yongqin Yang Yunliang Long |
| author_facet | Zhuo Su Yongqin Yang Yunliang Long |
| author_sort | Zhuo Su |
| collection | DOAJ |
| description | Higher order unconditionally stable methods are effective ways for simulating field behaviors of electromagnetic problems since they are free of Courant-Friedrich-Levy conditions. The development of accurate schemes with less computational expenditure is desirable. A compact fourth-order split-step unconditionally-stable finite-difference time-domain method (C4OSS-FDTD) is proposed in this paper. This method is based on a four-step splitting form in time which is constructed by symmetric operator and uniform splitting. The introduction of spatial compact operator can further improve its performance. Analyses of stability and numerical dispersion are carried out. Compared with noncompact counterpart, the proposed method has reduced computational expenditure while keeping the same level of accuracy. Comparisons with other compact unconditionally-stable methods are provided. Numerical dispersion and anisotropy errors are shown to be lower than those of previous compact unconditionally-stable methods. |
| format | Article |
| id | doaj-art-8f3c0e69212f4fafbcdac7250fe21e33 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-8f3c0e69212f4fafbcdac7250fe21e332025-02-03T05:43:56ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772013-01-01201310.1155/2013/689327689327A Compact Unconditionally Stable Method for Time-Domain Maxwell's EquationsZhuo Su0Yongqin Yang1Yunliang Long2Department of Electronics and Communication Engineering, Sun Yat-sen University, No. 132, Waihuan East Road, Guangzhou Higher Education Mega Center, Guangzhou 510006, ChinaDepartment of Electronics and Communication Engineering, Sun Yat-sen University, No. 132, Waihuan East Road, Guangzhou Higher Education Mega Center, Guangzhou 510006, ChinaDepartment of Electronics and Communication Engineering, Sun Yat-sen University, No. 132, Waihuan East Road, Guangzhou Higher Education Mega Center, Guangzhou 510006, ChinaHigher order unconditionally stable methods are effective ways for simulating field behaviors of electromagnetic problems since they are free of Courant-Friedrich-Levy conditions. The development of accurate schemes with less computational expenditure is desirable. A compact fourth-order split-step unconditionally-stable finite-difference time-domain method (C4OSS-FDTD) is proposed in this paper. This method is based on a four-step splitting form in time which is constructed by symmetric operator and uniform splitting. The introduction of spatial compact operator can further improve its performance. Analyses of stability and numerical dispersion are carried out. Compared with noncompact counterpart, the proposed method has reduced computational expenditure while keeping the same level of accuracy. Comparisons with other compact unconditionally-stable methods are provided. Numerical dispersion and anisotropy errors are shown to be lower than those of previous compact unconditionally-stable methods.http://dx.doi.org/10.1155/2013/689327 |
| spellingShingle | Zhuo Su Yongqin Yang Yunliang Long A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations International Journal of Antennas and Propagation |
| title | A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations |
| title_full | A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations |
| title_fullStr | A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations |
| title_full_unstemmed | A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations |
| title_short | A Compact Unconditionally Stable Method for Time-Domain Maxwell's Equations |
| title_sort | compact unconditionally stable method for time domain maxwell s equations |
| url | http://dx.doi.org/10.1155/2013/689327 |
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