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Plate Contact问题的混合有限元逼近
  • 期刊名称：数学物理学报
  • 时间：0
  • 页码：666-676
  • 分类：O241.82[理学—计算数学;理学—数学]
  • 作者机构：[1]温州大学数学与信息科学学院,浙江温州325035, [2]西安交通大学理学院,西安710049
  • 相关基金：国家自然科学基金（10571142 10901122 10971165）资助
  • 相关项目：三维可压和不可压旋转Navier-Stokes方程的维数分裂方法
作者： 安荣|李开泰|
关键词： PLATE, Contact问题, 正则化方法, 混合有限元逼近, 误差估计, Plate Contact Problem, Regularized Method, Mixed Finite Element Approximation, Error Estimates
中文摘要：

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.

英文摘要：

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.

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三维可压和不可压旋转Navier-Stokes方程的维数分裂方法
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