Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients
文献类型：期刊论文
| 作者 | Dong, Qiao-Li; Cao, Li-Qun
|
| 刊名 | APPLIED NUMERICAL MATHEMATICS
 |
| 出版日期 | 2009-12-01 |
| 卷号 | 59期号:12页码:3008-3032 |
| 关键词 | Homogenization Multiscale asymptotic expansion The wave equation with rapidly oscillating coefficients Finite element method Symplectic geometric scheme |
| ISSN号 | 0168-9274 |
| DOI | 10.1016/j.apnum.2009.07.008 |
| 英文摘要 | In this paper, we discuss the multiscale analysis and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients. The formal multiscale asymptotic expansions of the solutions for these problems in four specific cases are presented. Higher order corrector methods are constructed and associated explicit convergence rates are obtained in some cases. A multiscale numerical method and a symplectic geometric scheme are introduced. Finally, some numerical results and unsolved problems are presented, and these numerical results support strongly the convergence theorem of this paper. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[90405016] ; Special Funds for Major State Basic Research Projects[2006CB605102] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000270453100011 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8574]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Dong, Qiao-Li |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dong, Qiao-Li,Cao, Li-Qun. Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients[J]. APPLIED NUMERICAL MATHEMATICS,2009,59(12):3008-3032. |
| APA | Dong, Qiao-Li,&Cao, Li-Qun.(2009).Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients.APPLIED NUMERICAL MATHEMATICS,59(12),3008-3032. |
| MLA | Dong, Qiao-Li,et al."Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients".APPLIED NUMERICAL MATHEMATICS 59.12(2009):3008-3032. |
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。