KMS Of Academy of mathematics and systems sciences, CAS
| Convergence rate of multiscale finite element method for various boundary problems | |
| Ye, Changqing1,2; Dong, Hao3; Cui, Junzhi1 | |
| 2020-08-15 | |
| Source Publication | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| ISSN | 0377-0427 |
| Volume | 374Pages:8 |
| Abstract | In this paper, we examine the effectiveness of classic multiscale finite element method (MsFEM) (Hou and Wu, 1997; Hou et al., 1999) for mixed Dirichlet-Neumann, Robin and hemivariational inequality boundary problems. Constructing so-called boundary correctors is a common technique in existing methods to prove the convergence rate of MsFEM, while we think not reflects the essence of those problems. Instead, we focus on the first-order expansion structure. Through recently developed estimations in homogenization theory, our convergence rate is provided with milder assumptions and in neat forms. (C) 2020 Elsevier B.V. All rights reserved. |
| Keyword | Multiscale finite element method Boundary problems Hemivariational inequality Homogenization theory Numerical convergence rate |
| DOI | 10.1016/j.cam.2020.112754 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[51739007] ; State Key Laboratory of Scientific and Engineering Computing, China ; China Postdoctoral Science Foundation[2018M643573] ; Natural Science Foundation of Shaanxi Province, China[2019JQ-048] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000526108900009 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51089 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Ye, Changqing |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China |
| Recommended Citation GB/T 7714 | Ye, Changqing,Dong, Hao,Cui, Junzhi. Convergence rate of multiscale finite element method for various boundary problems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2020,374:8. |
| APA | Ye, Changqing,Dong, Hao,&Cui, Junzhi.(2020).Convergence rate of multiscale finite element method for various boundary problems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,374,8. |
| MLA | Ye, Changqing,et al."Convergence rate of multiscale finite element method for various boundary problems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 374(2020):8. |
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