Optimal quadratic element on rectangular grids for H-1 problems
文献类型：期刊论文
| 作者 | Zeng, Huilan1,2; Zhang, Chen-Song1,2 ; Zhang, Shuo1,2
|
| 刊名 | BIT NUMERICAL MATHEMATICS
 |
| 出版日期 | 2020-08-26 |
| 页码 | 25 |
| 关键词 | Optimal quadratic element Rectangular grids Boundary value problem Eigenvalue problem Lower bound |
| ISSN号 | 0006-3835 |
| DOI | 10.1007/s10543-020-00821-4 |
| 英文摘要 | In this paper, a piecewise quadratic finite element method on rectangular grids for H-1 problems is presented. The proposed method can be viewed as a reduced rectangular Morley element. For the source problem, the convergence rate of this scheme is proved to be O(h(2)) in the energy norm on uniform grids over a convex domain. Alower bound of the L-2-norm error is also proved, which makes the capacity of this scheme more clear. For the eigenvalue problem, the computed eigenvalues by this element are shown to be the lower bounds of the exact ones. Some numerical results are presented to verify the theoretical findings. |
| 资助项目 | National Key Research and Development Program, China[2016YFB0201304] ; Key Research Program of Frontier Sciences of CAS ; National Natural Science Foundation, China[11471026] ; National Natural Science Foundation, China[11871465] |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000563160100001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52033]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhang, Shuo |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zeng, Huilan,Zhang, Chen-Song,Zhang, Shuo. Optimal quadratic element on rectangular grids for H-1 problems[J]. BIT NUMERICAL MATHEMATICS,2020:25. |
| APA | Zeng, Huilan,Zhang, Chen-Song,&Zhang, Shuo.(2020).Optimal quadratic element on rectangular grids for H-1 problems.BIT NUMERICAL MATHEMATICS,25. |
| MLA | Zeng, Huilan,et al."Optimal quadratic element on rectangular grids for H-1 problems".BIT NUMERICAL MATHEMATICS (2020):25. |
入库方式： OAI收割
来源：数学与系统科学研究院
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