CSpace  > 计算数学与科学工程计算研究所
 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 Publication COMPUTERS & MATHEMATICS WITH APPLICATIONS ISSN 0898-1221 Volume 76Issue:11-12Pages:2549-2565 Abstract 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. Keyword Heat conduction problems Multiscale asymptotic analysis Diverse periodic configurations Error estimate SOTS numerical algorithm DOI 10.1016/j.camwa.2018.08.061 Language 英语 Funding Project 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 Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000451358900002 Publisher PERGAMON-ELSEVIER SCIENCE LTD Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/31810 Collection 计算数学与科学工程计算研究所 Corresponding Author Dong, Hao; Yang, Zhiqiang Affiliation 1.Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China3.Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China4.Harbin Inst Technol, Dept Astronaut Sci & Mech, Harbin 150001, Heilongjiang, Peoples R China Recommended CitationGB/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.
 Files in This Item: There are no files associated with this item.
 Related Services Recommend this item Bookmark Usage statistics Export to Endnote Google Scholar Similar articles in Google Scholar [Dong, Hao]'s Articles [Cui, Junzhi]'s Articles [Nie, Yufeng]'s Articles Baidu academic Similar articles in Baidu academic [Dong, Hao]'s Articles [Cui, Junzhi]'s Articles [Nie, Yufeng]'s Articles Bing Scholar Similar articles in Bing Scholar [Dong, Hao]'s Articles [Cui, Junzhi]'s Articles [Nie, Yufeng]'s Articles Terms of Use No data! Social Bookmark/Share