An energy-conserving method for stochastic Maxwell equations with multiplicative noise
文献类型：期刊论文
| 作者 | Hong, Jialin1 ; Ji, Lihai2; Zhang, Liying3; Cai, Jiaxiang4
|
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2017-12-15 |
| 卷号 | 351页码:216-229 |
| 关键词 | Energy-conserving method Three-dimensional stochastic Maxwell equations Multiplicative noise Geometric structure |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2017.09.030 |
| 英文摘要 | In this paper, it is shown that three-dimensional stochastic Maxwell equations with multiplicative noise are stochastic Hamiltonian partial differential equations possessing a geometric structure (i.e. stochastic multi-symplectic conservation law), and the energy of system is a conservative quantity almost surely. We propose a stochastic multi-symplectic energy-conserving method for the equations by using the wavelet collocation method in space and stochastic symplectic method in time. Numerical experiments are performed to verify the excellent abilities of the proposed method in providing accurate solution and preserving energy. The mean square convergence result of the method in temporal direction is tested numerically, and numerical comparisons with finite difference method are also investigated. (C) 2017 Elsevier Inc. All rights reserved. |
| 资助项目 | NNSFC[91130003] ; NNSFC[11021101] ; NNSFC[11290142] ; NNSFC[91630312] ; NNSFC[11471310] ; NNSFC[11601032] ; NNSFC[11601514] ; NNSFC[11626228] ; foundation of Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems[201606] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000415304900012 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26813]  |
| 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 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 3.China Univ Min & Technol, Sch Math Sci, Beijing 100083, Peoples R China 4.Huaiyin Normal Univ, Sch Math Sci, Huaian 210046, Jiangsu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hong, Jialin,Ji, Lihai,Zhang, Liying,et al. An energy-conserving method for stochastic Maxwell equations with multiplicative noise[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,351:216-229. |
| APA | Hong, Jialin,Ji, Lihai,Zhang, Liying,&Cai, Jiaxiang.(2017).An energy-conserving method for stochastic Maxwell equations with multiplicative noise.JOURNAL OF COMPUTATIONAL PHYSICS,351,216-229. |
| MLA | Hong, Jialin,et al."An energy-conserving method for stochastic Maxwell equations with multiplicative noise".JOURNAL OF COMPUTATIONAL PHYSICS 351(2017):216-229. |
入库方式： OAI收割
来源：数学与系统科学研究院
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