Multiscale asymptotic analysis and computations for Steklov eigenvalue problem in periodically perforated domain
文献类型：期刊论文
| 作者 | Ye, Shuyu3; Ma, Qiang3; Hu, Bing3; Cui, Junzhi2; Jiang, Xue1 |
| 刊名 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
 |
| 出版日期 | 2021-06-19 |
| 页码 | 21 |
| ISSN号 | 0170-4214 |
| 关键词 | corrector equations error estimation finite element computation second-order two-scale asymptotic analysis Steklov eigenvalue problem |
| DOI | 10.1002/mma.7565 |
| 英文摘要 | A second-order asymptotic analysis method is developed for the Steklov eigenvalue problem in periodically perforated domain. By the two-scale expansions of the eigenfunctions and eigenvalues, the first- and second-order cell functions defined on the representative cell are obtained successively, the homogenized elliptic eigenvalue problem is formulated, and effective coefficients are derived. The first- and second-order correctors of the eigenvalues are expressed in terms of the integrations of the cell functions and homogenized eigenfunctions. The error estimations of the expansions of eigenvalues are established, and the corresponding finite element algorithm is proposed. Numerical examples are carried out, and both qualitative and quantitative comparisons with the solutions by classical finite element computations are performed. It is demonstrated that this asymptotic model is effective to capture the local details of the eigenfunctions by considering the second-order expansion terms, and the algorithm presented in this work is efficient to obtain the accurate spectral properties of the porous material at lower cost. |
| 资助项目 | State Key Laboratory of Science and Engineering Computing ; Fundamental Research Funds for the Central Universities[YJ201811] ; National Natural Science Foundation of China[11671052] ; National Natural Science Foundation of China[11701123] ; National Natural Science Foundation of China[11771057] ; National Natural Science Foundation of China[11801387] ; National Natural Science Foundation of China[11971336] ; National Natural Science Foundation of China[11971337] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | WILEY |
| WOS记录号 | WOS:000663282000001 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58818]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ma, Qiang |
| 作者单位 | 1.Beijing Univ Technol, Coll Appl Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing, Peoples R China 3.Sichuan Univ, Coll Math, 24 South Sect 1,Yihuan Rd, Chengdu 610065, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ye, Shuyu,Ma, Qiang,Hu, Bing,et al. Multiscale asymptotic analysis and computations for Steklov eigenvalue problem in periodically perforated domain[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2021:21. |
| APA | Ye, Shuyu,Ma, Qiang,Hu, Bing,Cui, Junzhi,&Jiang, Xue.(2021).Multiscale asymptotic analysis and computations for Steklov eigenvalue problem in periodically perforated domain.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,21. |
| MLA | Ye, Shuyu,et al."Multiscale asymptotic analysis and computations for Steklov eigenvalue problem in periodically perforated domain".MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2021):21. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。