Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions
文献类型：期刊论文
| 作者 | Meng XiangYun1; Yang XueQin1; Zhang Shuo2
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2016-11-01 |
| 卷号 | 59期号:11页码:2245-2264 |
| 关键词 | d-rectangular Morley element second order elliptic equation convergence analysis super convergence lower bound estimate |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-015-0471-2 |
| 英文摘要 | We present the convergence analysis of the rectangular Morley element scheme utilised on the second order problem in arbitrary dimensions. Specifically, we prove that the convergence of the scheme is of O(h) order in energy norm and of O(h (2)) order in L (2) norm on general d-rectangular triangulations. Moreover, when the triangulation is uniform, the convergence rate can be of O(h (2)) order in energy norm, and the convergence rate in L (2) norm is still of O(h (2)) order, which cannot be improved. Numerical examples are presented to demonstrate our theoretical results. |
| 资助项目 | National Natural Science Foundation of China[11471026] ; National Natural Science Foundation of China[11271035] ; National Natural Science Foundation of China[91430213] ; National Natural Science Foundation of China[11421101] ; National Natural Science Foundation of China[11101415] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000386577700009 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23928]  |
| 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.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC,NCMIS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Meng XiangYun,Yang XueQin,Zhang Shuo. Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions[J]. SCIENCE CHINA-MATHEMATICS,2016,59(11):2245-2264. |
| APA | Meng XiangYun,Yang XueQin,&Zhang Shuo.(2016).Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions.SCIENCE CHINA-MATHEMATICS,59(11),2245-2264. |
| MLA | Meng XiangYun,et al."Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions".SCIENCE CHINA-MATHEMATICS 59.11(2016):2245-2264. |
入库方式： OAI收割
来源：数学与系统科学研究院
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