KMS Of Academy of mathematics and systems sciences, CAS
| 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
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| 2018-12-01 | |
| Source Publication | COMPUTERS & MATHEMATICS WITH APPLICATIONS
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| 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 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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