Convergence rate of multiscale finite element method for various boundary problems

doi:10.1016/j.cam.2020.112754

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	Convergence rate of multiscale finite element method for various boundary problems
	Ye, Changqing 1,2; Dong, Hao 3; Cui, Junzhi 1
	2020-08-15
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	374 页码:8
摘要	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.
关键词	Multiscale finite element method Boundary problems Hemivariational inequality Homogenization theory Numerical convergence rate
DOI	10.1016/j.cam.2020.112754
收录类别	SCI
语种	英语
资助项目	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研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000526108900009
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51089
专题	中国科学院数学与系统科学研究院
通讯作者	Ye, Changqing
作者单位	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
推荐引用方式 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.