ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION
文献类型：期刊论文
| 作者 | Mao, Shipeng1 ; Nicaise, Serge2; Shi, Zhong-Ci1
|
| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2010 |
| 卷号 | 7期号:4页码:639-655 |
| 关键词 | Morley element plate elements plate bending problems maximal angle condition |
| ISSN号 | 1705-5105 |
| 英文摘要 | In this paper, we establish the convergence of a nonconforming triangular Morley element for the plate bending problem on degenerate meshes. An explicit bound for the interpolation error is derived for arbitrary triangular meshes without any assumptions. The optimal convergence rates of the moment error and rotation error are derived for triangular meshes satisfying the maximal angle condition. Our results can also be extended to the three dimensional Morley element presented recently in [41]. Finally, some numerical results are reported that confirm our theoretical results. |
| 资助项目 | Special Funds For Major State Basic Research Project[2005CB321701] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000277127400003 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9518]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Mao, Shipeng |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Univ Valenciennes & Hainaut Cambresis, LAMAV, ISTV, F-59313 Valenciennes 9, France |
| 推荐引用方式 GB/T 7714 | Mao, Shipeng,Nicaise, Serge,Shi, Zhong-Ci. ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2010,7(4):639-655. |
| APA | Mao, Shipeng,Nicaise, Serge,&Shi, Zhong-Ci.(2010).ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,7(4),639-655. |
| MLA | Mao, Shipeng,et al."ERROR ESTIMATES OF MORLEY TRIANGULAR ELEMENT SATISFYING THE MAXIMAL ANGLE CONDITION".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 7.4(2010):639-655. |
入库方式： OAI收割
来源：数学与系统科学研究院
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