KMS Of Academy of mathematics and systems sciences, CAS
| Optimal quadratic element on rectangular grids for H-1 problems | |
Zeng, Huilan1,2; Zhang, Chen-Song1,2 ; Zhang, Shuo1,2
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| 2020-08-26 | |
| Source Publication | BIT NUMERICAL MATHEMATICS
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| ISSN | 0006-3835 |
| Pages | 25 |
| Abstract | 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. |
| Keyword | Optimal quadratic element Rectangular grids Boundary value problem Eigenvalue problem Lower bound |
| DOI | 10.1007/s10543-020-00821-4 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | 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 Research Area | Computer Science ; Mathematics |
| WOS Subject | Computer Science, Software Engineering ; Mathematics, Applied |
| WOS ID | WOS:000563160100001 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/52034 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Zhang, Shuo |
| Affiliation | 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 |
| Recommended Citation 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. |
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