anewapriorierrorestimateofnonconformingfiniteelementmethods
文献类型：期刊论文
| 作者 | Hu Jun2; Ma Rui2; Shi Zhongci1
|
| 刊名 | sciencechinamathematics
 |
| 出版日期 | 2014 |
| 卷号 | 57期号:5页码:887 |
| ISSN号 | 1674-7283 |
| 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 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/43893]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.北京大学 |
| 推荐引用方式 GB/T 7714 | Hu Jun,Ma Rui,Shi Zhongci. anewapriorierrorestimateofnonconformingfiniteelementmethods[J]. sciencechinamathematics,2014,57(5):887. |
| APA | Hu Jun,Ma Rui,&Shi Zhongci.(2014).anewapriorierrorestimateofnonconformingfiniteelementmethods.sciencechinamathematics,57(5),887. |
| MLA | Hu Jun,et al."anewapriorierrorestimateofnonconformingfiniteelementmethods".sciencechinamathematics 57.5(2014):887. |
入库方式： OAI收割
来源：数学与系统科学研究院
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