Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements
文献类型：期刊论文
| 作者 | Xie, Manting1; Xie, Hehu2,3 ; Liu, Xuefeng4
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| 刊名 | JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2018-03-01 |
| 卷号 | 35期号:1页码:335-354 |
| 关键词 | Stokes eigenvalue problem Eigenvalue bound Crouzeix-Raviart element Enriched Crouzeix-Raviart element Explicit lower bound |
| ISSN号 | 0916-7005 |
| DOI | 10.1007/s13160-017-0291-7 |
| 英文摘要 | An algorithm is proposed to give explicit lower bounds of the Stokes eigenvalues by utilizing two nonconforming finite element methods: Crouzeix-Raviart (CR) element and enriched Crouzeix-Raviart (ECR) element. Compared with the existing literatures which give lower eigenvalue bounds under the asymptotic condition that the mesh size is "small enough", the proposed algorithm in this paper drops the asymptotic condition and provide explicit lower bounds even for a rough mesh. Numerical experiments are also performed to validate the theoretical results. |
| 资助项目 | National Science Foundations of China[NSFC 91730302] ; National Science Foundations of China[11771434] ; National Science Foundations of China[91330202] ; National Science Foundations of China[11371026] ; Science Challenge Project[TZ2016002] ; National Center for Mathematics and Interdisciplinary Science, CAS ; Japan Society for the Promotion of Science[26800090] ; Japan Society for the Promotion of Science[16H03950] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000426279600016 |
| 出版者 | SPRINGER JAPAN KK |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29603]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Liu, Xuefeng |
| 作者单位 | 1.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Niigata Univ, Grad Sch Sci & Technol, Nishi Ku, 8050 Ikarashi 2 No Cho, Niigata, Niigata 9502181, Japan |
| 推荐引用方式 GB/T 7714 | Xie, Manting,Xie, Hehu,Liu, Xuefeng. Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements[J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,2018,35(1):335-354. |
| APA | Xie, Manting,Xie, Hehu,&Liu, Xuefeng.(2018).Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements.JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,35(1),335-354. |
| MLA | Xie, Manting,et al."Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements".JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 35.1(2018):335-354. |
入库方式： OAI收割
来源：数学与系统科学研究院
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