| THE NONCONFORMING FINITE ELEMENT METHOD FOR SIGNORINI PROBLEM |
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| 作者姓名： | Dongying Hua LiehengWang |
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| 作者单位： | [1]The First Fundamental Department, Beijing Information Technology Institute, Beijing100101, China [2]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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| 基金项目： | Supported by NSFC under grant 10671023. |
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| 摘 要： | We present the Crouzeix-Raviart linear nonconforming finite element approximation of the variational inequality resulting from Signorini problem. We show if the displacement field is of H2 regularity, then the convergence rate can be improved from O（h3/4） to quasi-optimal O（h｜log h｜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.
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| 关 键 词： | 有限元分析 积分方程 逼近 函数 |
| 修稿时间： | 2005-05-162005-09-02 |
THE NONCONFORMING FINITE ELEMENT METHOD FOR SIGNORINI PROBLEM |
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| Dongying Hua LiehengWang.THE NONCONFORMING FINITE ELEMENT METHOD FOR SIGNORINI PROBLEM[J].Journal of Computational Mathematics,2007,25(1):67-80. |
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| Abstract: | |
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| Keywords: | Nonconforming finite element method Signorini problem Convergence rate |
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