| A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM |
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| 作者姓名： | 石东洋 毛士鹏 陈绍春 |
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| 作者单位： | Department of Mathematics Zhengzhou University，Department of Mathematics Zhengzhou University，Department of Mathematics Zhengzhou University Henan 450052，China，Henan 450052，China，Henan 450052，China |
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| 摘 要： | The main aim of this article is to study the approximation of a locking-free anisotropic nonconforming finite element for the pure displacement boundary value prob-lem of planar linear elasticity. The optimal error estimates are obtained by using some novel approaches and techniques. The method proposed in this article is robust in the sense that the convergence estimates in the energy and L2-norms are independent of the Lame parameterλ.
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| 关 键 词： | 各向异性非协调有限元 最优误差估计 平面线性弹性 无锁闭 边值问题 |
| 收稿时间： | 2004-01-15 |
| 修稿时间： | 2005-04-10 |
A locking-free anisotropic nonconforming finite element for planar linear elasticity problem |
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| Dongyang Shi, Shipeng Mao,Shaochun Chen.A LOCKING-FREE ANISOTROPIC NONCONFORMING FINITE ELEMENT FOR PLANAR LINEAR ELASTICITY PROBLEM[J].Acta Mathematica Scientia,2007,27(1):193-202. |
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| Authors: | Dongyang Shi Shipeng Mao Shaochun Chen |
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| Institution: | aDepartment of Mathematics, Zhengzhou University, Henan 450052, China |
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| Abstract: | The main aim of this article is to study the approximation of a locking-free anisotropic nonconforming finite element for the pure displacement boundary value problem of planar linear elasticity. The optimal error estimates are obtained by using some novel approaches and techniques. The method proposed in this article is robust in the sense that the convergence estimates in the energy and L2-norms are independentof the Lamé parameter λ. |
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| Keywords: | Locking-free planar linear elasticity anisotropic nonconforming finite element optimal error estimates |
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