Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains

doi:10.1016/j.camwa.2018.08.061

	Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains
	Dong, Hao 1; Cui, Junzhi2 ; Nie, Yufeng 3; Yang, Zihao 3; Yang, Zhiqiang 4
	2018-12-01
发表期刊	COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN	0898-1221
卷号	76 期号:11-12 页码:2549-2565
摘要	This study develops a novel multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains. Firstly, the second-order two-scale (SOTS) solutions for these multiscale problems are successfully obtained based on multiscale asymptotic analysis. Then, the error analysis of SOTS solutions in the pointwise sense is given to illustrate the importance of developing the SOTS solutions. Furthermore, the error estimate for the SOTS approximate solutions in the integral sense is presented. In addition, a SOTS numerical algorithm is proposed to effectively solve these problems based on finite element method (FEM). Finally, some numerical examples verify the feasibility and effectiveness of the SOTS numerical algorithm we proposed. In this paper, a unified two-scale computational framework is established for heat conduction problems of composite structures with diverse periodic configurations in different subdomains. (C) 2018 Elsevier Ltd. All rights reserved.
关键词	Heat conduction problems Multiscale asymptotic analysis Diverse periodic configurations Error estimate SOTS numerical algorithm
DOI	10.1016/j.camwa.2018.08.061
语种	英语
资助项目	Fundamental Research Funds for the Central Universities, China[JB180703] ; National Natural Science Foundation of China[51739007] ; National Natural Science Foundation of China[11471262] ; National Natural Science Foundation of China[11501449] ; National Basic Research Program of China[2012CB025904] ; State Scholarship Fund of China Scholarship Council[201606290191] ; Key Technology Research of FRP-Concrete Composite Structure and Center for high performance computing of Northwestern Polytechnical University, China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000451358900002
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31810
专题	计算数学与科学工程计算研究所
通讯作者	Dong, Hao; Yang, Zhiqiang
作者单位	1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China 4.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China
推荐引用方式 GB/T 7714	Dong, Hao,Cui, Junzhi,Nie, Yufeng,et al. Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2018,76(11-12):2549-2565.
APA	Dong, Hao,Cui, Junzhi,Nie, Yufeng,Yang, Zihao,&Yang, Zhiqiang.(2018).Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains.COMPUTERS & MATHEMATICS WITH APPLICATIONS,76(11-12),2549-2565.
MLA	Dong, Hao,et al."Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains".COMPUTERS & MATHEMATICS WITH APPLICATIONS 76.11-12(2018):2549-2565.