ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE
文献类型：期刊论文
| 作者 | Ye, Changqing2,3; Cui, Junzhi3; Dong, Hao1 |
| 刊名 | MULTISCALE MODELING & SIMULATION
 |
| 出版日期 | 2021 |
| 卷号 | 19期号:2页码:830-845 |
| 关键词 | elliptic hemivariational inequality homogenization finite element method error estimates contact problems Robin problems |
| ISSN号 | 1540-3459 |
| DOI | 10.1137/19M1252326 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000674142900010 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59047]  |
| 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.Xidian Univ, Sch Math & Stat, Xian 71007, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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