A quadrilateral nonconforming finite element for linear elasticity problem
文献类型：期刊论文
| 作者 | Mao, Shipeng ; Chen, Shaochun
|
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2008 |
| 卷号 | 28期号:1页码:81-100 |
| 关键词 | quadrilateral nonconforming element double set parameters locking-free linear elasticity |
| ISSN号 | 1019-7168 |
| DOI | 10.1007/s10444-006-9017-0 |
| 英文摘要 | In this paper, a four-parameter quadrilateral nonconforming finite element with DSP (double set parameters) is presented. Then we discuss the quadrilateral nonconforming finite element approximation to the linear elastic equations with pure displacement boundary. The optimal convergence rate of the method is established in the broken H-1 energy and L-2- norms, and in particular, the convergence is uniform with respect to the Lame parameter lambda. Also the performance of the scheme does not deteriorate as the material becomes nearly incompressible. Lastly, a numerical test is carried out, which coincides with our theoretical analysis. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000251140600005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5691]  |
| 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, Inst Computat Math, Beijing 100080, Peoples R China 2.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mao, Shipeng,Chen, Shaochun. A quadrilateral nonconforming finite element for linear elasticity problem[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2008,28(1):81-100. |
| APA | Mao, Shipeng,&Chen, Shaochun.(2008).A quadrilateral nonconforming finite element for linear elasticity problem.ADVANCES IN COMPUTATIONAL MATHEMATICS,28(1),81-100. |
| MLA | Mao, Shipeng,et al."A quadrilateral nonconforming finite element for linear elasticity problem".ADVANCES IN COMPUTATIONAL MATHEMATICS 28.1(2008):81-100. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。