Symplectic and multisymplectic numerical methods for Maxwell's equations
文献类型：期刊论文
| 作者 | Sun, Y. ; Tse, P. S. P.
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| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2011-03-01 |
| 卷号 | 230期号:5页码:2076-2094 |
| 关键词 | Maxwell's equations Symplectic methods Multisymplectic methods Energy-preserving methods Dispersion relations Backward error analysis |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2010.12.006 |
| 英文摘要 | In this paper, we compare the behaviour of one symplectic and three multisymplectic methods for Maxwell's equations in a simple medium. This is a system of PDEs with symplectic and multisymplectic structures. We give a theoretical discussion of how some numerical methods preserve the discrete versions of the local and global conservation laws and verify this behaviour in numerical experiments. We also show that these numerical methods preserve the divergence. Furthermore, we extend the discussion on dispersion for (multi)symplectic methods applied to PDEs with one spatial dimension, to include anisotropy when applying (multi)symplectic methods to Maxwell's equations in two spatial dimensions. Lastly, we demonstrate how varying the Courant-Friedrichs-Lewy (CFL) number can cause the (multi)symplectic methods in our comparison to behave differently, which can be explained by the study of backward error analysis for PDEs. (C) 2010 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[60931002] ; National Basic Research Program of China[2010CB832702] ; Funds for Creative Research Groups of China[11021101] ; China Postdoctoral Science Foundation |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000287057900019 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12481]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Sun, Y. |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Y.,Tse, P. S. P.. Symplectic and multisymplectic numerical methods for Maxwell's equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2011,230(5):2076-2094. |
| APA | Sun, Y.,&Tse, P. S. P..(2011).Symplectic and multisymplectic numerical methods for Maxwell's equations.JOURNAL OF COMPUTATIONAL PHYSICS,230(5),2076-2094. |
| MLA | Sun, Y.,et al."Symplectic and multisymplectic numerical methods for Maxwell's equations".JOURNAL OF COMPUTATIONAL PHYSICS 230.5(2011):2076-2094. |
入库方式： OAI收割
来源：数学与系统科学研究院
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