Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures

doi:10.1016/j.amc.2016.11.023

	Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures
	Dong, Hao 1; Nie, Yufeng1 ; Cui, Junzhi 2; Wu, Yatao 1; Yang, Zihao 1
	2017-04-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	298 页码:201-220
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.
关键词	Multiscale asymptotic analysis Damped wave equations Quasi-periodic structure Second-order two-scale numerical method Newmark scheme
DOI	10.1016/j.amc.2016.11.023
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000392785400016
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24649
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.