KMS Of Academy of mathematics and systems sciences, CAS
| ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE | |
| Ye, Changqing1,2; Cui, Junzhi1; Dong, Hao3 | |
| 2021 | |
| Source Publication | MULTISCALE MODELING & SIMULATION
 |
| ISSN | 1540-3459 |
| Volume | 19Issue:2Pages:830-845 |
| Abstract | 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. |
| Keyword | elliptic hemivariational inequality homogenization finite element method error estimates contact problems Robin problems |
| DOI | 10.1137/19M1252326 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Interdisciplinary Applications ; Physics, Mathematical |
| WOS ID | WOS:000674142900010 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59048 |
| 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, 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 |
| Recommended Citation 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. |
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