A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates

Brenner S.C.; Sung L.-Y.; Zhang H.; Zhang Y.

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A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates

机译：夹紧基尔霍夫板位移障碍问题的Morley有限元方法

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摘要

We study a Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates on polygonal domains. Error estimates are derived in the energy norm and the L∞norm. The performance of the method is illustrated by numerical experiments.

机译：我们研究了多边形区域上夹紧的Kirchhoff板的位移障碍问题的Morley有限元方法。在能量范数和L∞范数中得出误差估计。通过数值实验说明了该方法的性能。

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《Journal of Computational and Applied Mathematics》 |2013年第null期|共12页
作者
Brenner S.C.; Sung L.-Y.; Zhang H.; Zhang Y.;
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正文语种 eng
中图分类计算数学;
关键词
Clamped; Displacement obstacle; Fourth order variational inequality; Kirchhoff plate; Morley element;

机译：夹紧;位移障碍;四阶变分不等式;基尔霍夫板;莫雷元素;

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1. 一个非线性单调型梯度障碍问题的有限元方法 [J] . 邓庆平东北数学：英文版 . 1992,第002期
2. A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates [J] . Brenner S.C., Sung L.-Y., Zhang H., Journal of Computational and Applied Mathematics . 2013,第Null期

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3. FINITE ELEMENT METHODS FOR THE DISPLACEMENT OBSTACLE PROBLEM OF CLAMPED PLATES [J] . SUSANNE C. BRENNER, LI-YENG SUNG, YI ZHANG Mathematics of computation . 2012,第279期

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4. Double set parameter finite element method for two-sided displacement obstacle problem of clamped plate [J] . Shi Dongyang, Pei Lifang Journal of Mathematical Analysis and Applications . 2016,第1期

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5. Vibration Analysis of Kirchhoff Plates by the Morley Element Method [C] . Liang Guo, Jianguo Huang, Zhongci Shi International Workshop on Scientific Computing and Applications . 2007

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8. Finite element methods for the displacement obstacle problem of clamped plates [O] . Susanne C. Brenner, Li-yeng Sung, Yi Zhang 2012

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A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates

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