Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations
文献类型：期刊论文
| 作者 | Liu, Xuefeng1; Nakao, Mitsuhiro T.2; You, Chun'guang3; Oishi, Shin'ichi2 |
| 刊名 | JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2021-01-02 |
| 页码 | 15 |
| 关键词 | Stokes equation A posteriori error estimation A priori error estimation Finite element method Hypercircle method Eigenvalue problem |
| ISSN号 | 0916-7005 |
| DOI | 10.1007/s13160-020-00449-5 |
| 英文摘要 | For the Stokes equation over 2D and 3D domains, explicit a posteriori and a priori error estimation are novelly developed for the finite element solution. The difficulty in handling the divergence-free condition of the Stokes equation is solved by utilizing the extended hypercircle method along with the Scott-Vogelius finite element scheme. Since all terms in the error estimation have explicit values, by further applying the interval arithmetic and verified computing algorithms, the computed results provide rigorous estimation for the approximation error. As an application of the proposed error estimation, the eigenvalue problem of the Stokes operator is considered and rigorous bounds for the eigenvalues are obtained. The efficiency of proposed error estimation is demonstrated by solving the Stokes equation on both convex and non-convex 3D domains. |
| 资助项目 | Japan Society for the Promotion of Science[16H03950] ; Japan Society for the Promotion of Science[20H01820] ; Japan Society for the Promotion of Science[18K03411] ; JST CREST, Japan[JPMJCR14D4] ; [18K03434] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000604171900001 |
| 出版者 | SPRINGER JAPAN KK |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57943]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Xuefeng |
| 作者单位 | 1.Niigata Univ, Grad Sch Sci & Technol, Niigata 9502181, Japan 2.Waseda Univ, Fac Sci & Engn, Tokyo 1698555, Japan 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Xuefeng,Nakao, Mitsuhiro T.,You, Chun'guang,et al. Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations[J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,2021:15. |
| APA | Liu, Xuefeng,Nakao, Mitsuhiro T.,You, Chun'guang,&Oishi, Shin'ichi.(2021).Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations.JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,15. |
| MLA | Liu, Xuefeng,et al."Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations".JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS (2021):15. |
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。