A new a priori error estimate of nonconforming finite element methods
文献类型：期刊论文
| 作者 | Hu Jun1; Ma Rui1; Shi ZhongCi2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2014 |
| 卷号 | 57期号:5页码:887-902 |
| 关键词 | nonconforming finite element consistency error error estimate |
| ISSN号 | 1674-7283 |
| 其他题名 | A new a priori error estimate of nonconforming finite element methods |
| 英文摘要 | This paper is devoted to a new error analysis of nonconforming finite element methods. Compared with the classic error analysis in literature, only weak continuity, the F-E-M-Test for nonconforming finite element spaces, and basic H (m) regularity for exact solutions of 2m-th order elliptic problems under consideration are assumed. The analysis is motivated by ideas from a posteriori error estimates and projection average operators. One main ingredient is a novel decomposition for some key average terms on (n - 1)-dimensional faces by introducing a piecewise constant projection, which defines the generalization to more general nonconforming finite elements of the results in literature. The analysis and results herein are conjectured to apply for all nonconforming finite elements in literature. |
| 资助项目 | [National Natural Science Foundation of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5118877 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/53868]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.北京大学 2.中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Hu Jun,Ma Rui,Shi ZhongCi. A new a priori error estimate of nonconforming finite element methods[J]. SCIENCE CHINA-MATHEMATICS,2014,57(5):887-902. |
| APA | Hu Jun,Ma Rui,&Shi ZhongCi.(2014).A new a priori error estimate of nonconforming finite element methods.SCIENCE CHINA-MATHEMATICS,57(5),887-902. |
| MLA | Hu Jun,et al."A new a priori error estimate of nonconforming finite element methods".SCIENCE CHINA-MATHEMATICS 57.5(2014):887-902. |
入库方式： OAI收割
来源：数学与系统科学研究院
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