On the error bounds of nonconforming finite elements
文献类型：期刊论文
| 作者 | Mao ShiPeng ; Shi ZhongCi
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2010-11-01 |
| 卷号 | 53期号:11页码:2917-2926 |
| 关键词 | nonconforming finite elements Cea's lemma error estimates |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-010-3120-x |
| 英文摘要 | We prove that the error estimates of a large class of nonconforming finite elements are dominated by their approximation errors, which means that the well-known Cea's lemma is still valid for these nonconforming finite element methods. Furthermore, we derive the error estimates in both energy and L(2) norms under the regularity assumption u is an element of H(1+s)(Omega) with any s > 0. The extensions to other related problems are possible. |
| 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:000284382200010 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9543]  |
| 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 | Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mao ShiPeng,Shi ZhongCi. On the error bounds of nonconforming finite elements[J]. SCIENCE CHINA-MATHEMATICS,2010,53(11):2917-2926. |
| APA | Mao ShiPeng,&Shi ZhongCi.(2010).On the error bounds of nonconforming finite elements.SCIENCE CHINA-MATHEMATICS,53(11),2917-2926. |
| MLA | Mao ShiPeng,et al."On the error bounds of nonconforming finite elements".SCIENCE CHINA-MATHEMATICS 53.11(2010):2917-2926. |
入库方式： OAI收割
来源：数学与系统科学研究院
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