Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods
文献类型：期刊论文
| 作者 | Chen, Chuchu ; Hong, Jialin; Zhang, Liying
|
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2016-02-01 |
| 卷号 | 306页码:500-519 |
| 关键词 | Stochastic Maxwell equations Stochastic Hamiltonian partial differential equations Dissipative property of averaged energy Conservation law of averaged divergence Stochastic multi-symplectic method |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2015.11.052 |
| 英文摘要 | Stochastic Maxwell equations with additive noise are a system of stochastic Hamiltonian partial differential equations intrinsically, possessing the stochastic multi-symplectic conservation law. It is shown that the averaged energy increases linearly with respect to the evolution of time and the flow of stochastic Maxwell equations with additive noise preserves the divergence in the sense of expectation. Moreover, we propose three novel stochastic multi-symplectic methods to discretize stochastic Maxwell equations in order to investigate the preservation of these properties numerically. We make theoretical discussions and comparisons on all of the three methods to observe that all of them preserve the corresponding discrete version of the averaged divergence. Meanwhile, we obtain the corresponding dissipative property of the discrete averaged energy satisfied by each method. Especially, the evolution rates of the averaged energies for all of the three methods are derived which are in accordance with the continuous case. Numerical experiments are performed to verify our theoretical results. (C) 2015 Elsevier Inc. All rights reserved. |
| 资助项目 | NNSFC[91130003] ; NNSFC[11021101] ; NNSFC[11290142] ; NNSFC[11301001] ; NNSFC[2013SQRL030ZD] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000366157000025 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21472]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhang, Liying |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Chuchu,Hong, Jialin,Zhang, Liying. Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2016,306:500-519. |
| APA | Chen, Chuchu,Hong, Jialin,&Zhang, Liying.(2016).Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods.JOURNAL OF COMPUTATIONAL PHYSICS,306,500-519. |
| MLA | Chen, Chuchu,et al."Preservation of physical properties of stochastic Maxwell equations with additive noise via stochastic multi-symplectic methods".JOURNAL OF COMPUTATIONAL PHYSICS 306(2016):500-519. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。