| A mixed finite element method for the unilateral contact problem in elasticity |
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| 作者姓名： | HUA Dongying & WANG Lieheng The First Fundamental |
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| 作者单位： | HUA Dongying & WANG Lieheng The First Fundamental Department，Beijing Information Technology Institute，Beijing 100101，China; Institute of Computational Mathematics and Scientific/Engineering Computing，Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Beijing 100080，China |
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| 摘 要： | In this paper, we provide a new mixed finite element approximation of the varia-tional inequality resulting from the unilateral contact problem in elasticity. We use the continuous piecewise P2-P1 finite element to approximate the displacement field and the normal stress component on the contact region. Optimal convergence rates are obtained under the reasonable regularity hypotheses. Numerical example verifies our results.
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| 收稿时间： | 8 September 2005 |
| 修稿时间： | 16 November 2005 |
A mixed finite element method for the unilateral contact problem in elasticity |
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| HUA Dongying & WANG Lieheng The First Fundamental.A mixed finite element method for the unilateral contact problem in elasticity[J].Science in China(Mathematics),2006,49(4):513-524. |
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| Authors: | HUA Dongying WANG Lieheng |
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| Institution: | 1. The First Fundamental Department, Beijing Information Technology Institute, Beijing 100101, China
2. Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathe matics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | In this paper, we provide a new mixed finite element approximation of the varia-tional inequality resulting from the unilateral contact problem in elasticity. We use the continuous piecewise P2-P1 finite element to approximate the displacement field and the normal stress component on the contact region. Optimal convergence rates are obtained under the reasonable regularity hypotheses. Numerical example verifies our results. |
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| Keywords: | unilateral contact problem mixed finite element method |
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