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Multiscale computational method for heat conduction problems of composite structures with diverse periodic configurations in different subdomains
Dong, Hao1; Cui, Junzhi2; Nie, Yufeng3; Yang, Zihao3; Yang, Zhiqiang4
2018-12-01
Source PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN0898-1221
Volume76Issue:11-12Pages:2549-2565
AbstractThis 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.
KeywordHeat conduction problems Multiscale asymptotic analysis Diverse periodic configurations Error estimate SOTS numerical algorithm
DOI10.1016/j.camwa.2018.08.061
Language英语
Funding ProjectFundamental 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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000451358900002
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31810
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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