The nonconforming finite element method for Signorini problem | |
Hua, Dongying; Wang, Lieheng | |
刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
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2007 | |
卷号 | 25期号:1页码:67-80 |
关键词 | nonconforming finite element method Signorini problem convergence rate |
ISSN号 | 0254-9409 |
英文摘要 | We present the Crouzeix-Raviaxt linear nonconforming finite element approximation of the variational inequality resulting from Signorini problem. We show if the displacement field is of H-2 regularity, then the convergence rate can be improved from O(h (3/4)) to quasi-optimal O(h vertical bar log h vertical bar (1/4)) with respect to the energy norm as that of the continuous linear finite element approximation. If stronger but reasonable regularity is available, the convergence rate can be improved to the optimal O(h) as expected by the linear approximation. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | VSP BV |
WOS记录号 | WOS:000243393300006 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4037] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Hua, Dongying |
作者单位 | 1.Beijing Informat Technol Inst, Fundamental Dept 1, Beijing 100101, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEG, ICMSEC, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Hua, Dongying,Wang, Lieheng. The nonconforming finite element method for Signorini problem[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2007,25(1):67-80. |
APA | Hua, Dongying,&Wang, Lieheng.(2007).The nonconforming finite element method for Signorini problem.JOURNAL OF COMPUTATIONAL MATHEMATICS,25(1),67-80. |
MLA | Hua, Dongying,et al."The nonconforming finite element method for Signorini problem".JOURNAL OF COMPUTATIONAL MATHEMATICS 25.1(2007):67-80. |
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