SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS
文献类型：期刊论文
| 作者 | Chen, Chuchu1,2 |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2021 |
| 卷号 | 59期号:4页码:2197-2217 |
| 关键词 | stochastic Maxwell equations symplectic dG full discretization mean-square convergence |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/20M1368537 |
| 英文摘要 | This paper proposes a fully discrete method called the symplectic discontinuous Galerkin (dG) full discretization for stochastic Maxwell equations driven by additive noises, based on a stochastic symplectic method in time and a dG method with the upwind fluxes in space. A priori H-k-regularity (k is an element of {1, 2}) estimates for the solution of stochastic Maxwell equations are presented, which have not been reported before to the best of our knowledge. These H-k-regularities are vital to making the assumptions of the mean-square convergence analysis on the initial fields, the noise, and the medium coefficients, but not on the solution itself. The convergence order of the symplectic dG full discretization is shown to be k/2 in the temporal direction and k-1/2 in the spatial direction. Meanwhile we reveal the small noise asymptotic behaviors of the exact and numerical solutions via the large deviation principle, and show that the fully discrete method preserves the divergence relations in a weak sense. |
| 资助项目 | National Natural Science Foundation of China[11871068] ; National Natural Science Foundation of China[12022118] ; National Natural Science Foundation of China[11971470] ; National Natural Science Foundation of China[12031020] ; National Natural Science Foundation of China[12026428] ; Youth Innovation Promotion Association CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000692318700014 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59272]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, Chuchu |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100149, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Chuchu. SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2021,59(4):2197-2217. |
| APA | Chen, Chuchu.(2021).SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS.SIAM JOURNAL ON NUMERICAL ANALYSIS,59(4),2197-2217. |
| MLA | Chen, Chuchu."SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS".SIAM JOURNAL ON NUMERICAL ANALYSIS 59.4(2021):2197-2217. |
入库方式： OAI收割
来源：数学与系统科学研究院
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