MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES
文献类型：期刊论文
| 作者 | Ma, Chupeng2; Cao, Liqun2,3 ; Lin, Yanping1
|
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2019 |
| 卷号 | 41期号:2页码:A1091-A1120 |
| 关键词 | Maxwell-Schrodinger system homogenization method multiscale asymptotic expansion finite element method |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/18M1169709 |
| 英文摘要 | In this paper, we discuss the multiscale computations of the time-dependent Maxwell-Schrodinger system with rapidly oscillating discontinuous coefficients. The multiscale asymptotic method for the system is presented. We propose a novel multiscale asymptotic expansion for the vector potential to capture the oscillations caused by the quantum current density. To solve the homogenized Maxwell-Schrodinger system, we present an alternating Crank-Nicolson finite element method. The stability estimates and the solvability of the discrete system are established. An iteration algorithm together with its convergence analysis is given. Numerical examples are carried out to demonstrate the efficiency and accuracy of the multiscale algorithms. |
| 资助项目 | National Natural Science Foundation of China[11571353] ; National Natural Science Foundation of China[91330202] ; HKSAR GRF[B-Q56D] ; JRI of Polyu ; Funds for Creative Research Group of China[11321061] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000469225300017 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34811]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Cao, Liqun |
| 作者单位 | 1.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma, Chupeng,Cao, Liqun,Lin, Yanping. MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2019,41(2):A1091-A1120. |
| APA | Ma, Chupeng,Cao, Liqun,&Lin, Yanping.(2019).MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES.SIAM JOURNAL ON SCIENTIFIC COMPUTING,41(2),A1091-A1120. |
| MLA | Ma, Chupeng,et al."MULTISCALE ALGORITHMS AND COMPUTATIONS FOR THE TIME-DEPENDENT MAXWELL-SCHRODINGER SYSTEM IN HETEROGENEOUS NANOSTRUCTURES".SIAM JOURNAL ON SCIENTIFIC COMPUTING 41.2(2019):A1091-A1120. |
入库方式： OAI收割
来源：数学与系统科学研究院
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