ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE

doi:10.1137/19M1252326

CSpace

	ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE
	Ye, Changqing 1,2; Cui, Junzhi 1; Dong, Hao 3
	2021
发表期刊	MULTISCALE MODELING & SIMULATION
ISSN	1540-3459
卷号	19 期号:2 页码:830-845
摘要	This paper is devoted to a study of nonlinear Robin-type boundary value problems of second-order elliptic partial differential equations. Specifically, nonlinear boundary conditions are modeled by hemivariational inequalities, and the coefficients of the governing equations have a small periodic oscillating structure. We prove that the model problem can be homogenized; i.e., the sequence of solutions weakly converges to a homogenized solution as the periodicity approaches zero. We derive an O(epsilon(1/2))-order estimate in H-1-norm for first-order asymptotic expansions. In particular, we provide an optimal O(epsilon)-order estimate in L-2-norm for linear Robin boundary value problems. We analyze the numerical error of the Lagrange finite element method for the model problem and design a numerical experiment to validate the theoretical predictions.
关键词	elliptic hemivariational inequality homogenization finite element method error estimates contact problems Robin problems
DOI	10.1137/19M1252326
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[51739007] ; National Natural Science Foundation of China[12001414] ; China Postdoctoral Science Foundation[2018M643573] ; National Natural Science Foundation of Shaanxi Province[2019JQ-048]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000674142900010
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59048
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, LSEC, ICMSEC, 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 71007, Peoples R China
推荐引用方式 GB/T 7714	Ye, Changqing,Cui, Junzhi,Dong, Hao. ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE[J]. MULTISCALE MODELING & SIMULATION,2021,19(2):830-845.
APA	Ye, Changqing,Cui, Junzhi,&Dong, Hao.(2021).ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE.MULTISCALE MODELING & SIMULATION,19(2),830-845.
MLA	Ye, Changqing,et al."ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE".MULTISCALE MODELING & SIMULATION 19.2(2021):830-845.