Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures
文献类型：期刊论文
| 作者 | Dong, Hao1; Nie, Yufeng1 ; Cui, Junzhi2; Wu, Yatao1; Yang, Zihao1
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| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2017-04-01 |
| 卷号 | 298页码:201-220 |
| 关键词 | Multiscale asymptotic analysis Damped wave equations Quasi-periodic structure Second-order two-scale numerical method Newmark scheme |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2016.11.023 |
| 英文摘要 | In this paper, we perform a second-order two-scale analysis and introduce a numerical algorithm for the damped wave equations of composite materials with a quasi-periodic structure. Firstly, second-order two-scale asymptotic expansion solutions for these problems are constructed by a multiscale asymptotic analysis. In addition, we explain the importance of the second-order two-scale solutions by the error analysis in the pointwise sense. Moreover, explicit convergence rates of these second-order two-scale solutions are obtained in the integral sense. Then a second-order two-scale numerical method based on a Newmark scheme is presented to solve these multiscale problems. Finally, some numerical examples show the effectiveness and efficiency of the multiscale numerical method we proposed. (C) 2016 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11471262] ; National Natural Science Foundation of China[11501449] ; National Basic Research Program of China[2012CB025904] ; Center for high performance computing of Northwestern Polytechnical University |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000392785400016 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24648]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Nie, Yufeng |
| 作者单位 | 1.Northwestern Polytech Univ, Sch Sci, Dept Math Appl, Xian 710129, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dong, Hao,Nie, Yufeng,Cui, Junzhi,et al. Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures[J]. APPLIED MATHEMATICS AND COMPUTATION,2017,298:201-220. |
| APA | Dong, Hao,Nie, Yufeng,Cui, Junzhi,Wu, Yatao,&Yang, Zihao.(2017).Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures.APPLIED MATHEMATICS AND COMPUTATION,298,201-220. |
| MLA | Dong, Hao,et al."Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures".APPLIED MATHEMATICS AND COMPUTATION 298(2017):201-220. |
入库方式： OAI收割
来源：数学与系统科学研究院
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