Plate Contact问题的混合有限元逼近

摘要/Abstract

摘要：

论文考虑了Plate Contact问题的混合有限元逼近,其变分问题为第二类四阶椭圆变分不等问题.首先,根据正则化方法,得到原问题的正则化问题.再根据网格依赖范数技巧,考虑了正则化问题的Ciarlet-Raviart混合有限元逼近,并证明了真解与逼近解之间的误差估计.最后通过数值算例验证了理论分析的结果.

关键词: Plate Contact问题, 正则化方法, 混合有限元逼近, 误差估计

Abstract:

The finite element approximation for the fourth order elliptic variational inequality of the second kind modeling of the plate contact problem is
investigated in this paper. By the regularized method, the variational inequality is reduced to the variational equation. By using the refined Ciarlet-Raviart's mixed finite element method via the technique of mesh dependent norm, some error estimates are obtained.

Key words: Plate Contact Problem, Regularized Method, Mixed Finite Element Approximation, Error Estimates

中图分类号:

65N30

安荣, 李开泰. Plate Contact问题的混合有限元逼近[J]. 数学物理学报, 2010, 30(3): 666-676.

AN Rong, LI Kai-Tai. Mixed Finite Element Approximation for the Plate Contact Problem[J]. Acta mathematica scientia,Series A, 2010, 30(3): 666-676.

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