Splitting multisymplectic integrators for Maxwell's equations
文献类型：期刊论文
| 作者 | Kong, Linghua1; Hong, Jialin2 ; Zhang, Jingjing2
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| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2010-06-01 |
| 卷号 | 229期号:11页码:4259-4278 |
| 关键词 | Maxwell's equation Local one-dimensional method Multisymplectic integrator Runge-Kutta method Conservation law |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2010.02.010 |
| 英文摘要 | In the paper, we describe a novel kind of multisymplectic method for three-dimensional (3-D) Maxwell's equations. Splitting the 3-D Maxwell's equations into three local one-dimensional (LOD) equations, then applying a pair of symplectic Runge-Kutta methods to discretize each resulting LOD equation, it leads to splitting multisymplectic integrators. We say this kind of schemes to be LOD multisymplectic scheme (LOD-MS). The discrete conservation laws, convergence, dispersive relation, dissipation and stability are investigated for the schemes. Theoretical analysis shows that the schemes are unconditionally stable, non-dissipative, and of first order accuracy in time and second order accuracy in space. As a reduction, we also consider the application of LOD-MS to 2-D Maxwell's equations. Numerical experiments match the theoretical results well. They illustrate that LOD-MS is not only efficient and simple in coding, but also has almost all the nature of multisymplectic integrators. (C) 2010 Elsevier Inc. All rights reserved. |
| 资助项目 | Natural Science Foundation of China[10901074] ; Provincial Natural Science Foundation of Jiangxi[2008GQS0054] ; Foundation of Department of Education Jiangxi Province[GJJ09147] ; Foundation of Jiangxi Normal University[2057] ; Foundation of Jiangxi Normal University[2390] ; State Key Laboratory of Scientific and Engineering Computing, CAS ; Provincial Natural Science Foundation of Anhui[090416227] ; Director Innovation Foundation of ICMSEC ; Director Innovation Foundation of AMSS ; Foundation of CAS ; NNSFC[19971089] ; NNSFC[10371128] ; NNSFC[60771054] ; Special Funds for Major State Basic Research Projects of China[2005CB321701] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000276922100014 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10601]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Kong, Linghua |
| 作者单位 | 1.Jiangxi Normal Univ, Sch Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Kong, Linghua,Hong, Jialin,Zhang, Jingjing. Splitting multisymplectic integrators for Maxwell's equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2010,229(11):4259-4278. |
| APA | Kong, Linghua,Hong, Jialin,&Zhang, Jingjing.(2010).Splitting multisymplectic integrators for Maxwell's equations.JOURNAL OF COMPUTATIONAL PHYSICS,229(11),4259-4278. |
| MLA | Kong, Linghua,et al."Splitting multisymplectic integrators for Maxwell's equations".JOURNAL OF COMPUTATIONAL PHYSICS 229.11(2010):4259-4278. |
入库方式： OAI收割
来源：数学与系统科学研究院
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