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An FEM approximation for a fourth-order variational inequality of second kind

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【Author】 QIAN Fu-bin~1 DING Rui~2 1 School of Management,Suzhou Univ.of Sci.& Tech.,Suzhou 215008,China. 2 School of Math.Sci.,Suzhou Univ.,Suzhou 215006,China.Corresponding author.

【摘要】 <正>A fourth-order variational inequality of the second kind arising in a plate frictional bending problem is considered.By using regularization method,the original problem can be formulated as a differentiable variational equation,and the corresponding discrete FEM vari- ational equation is presented afterwards.Abstract error estimates and error estimates of the approximation are derived in terms of energy norm and L~2-norm.

【Abstract】 A fourth-order variational inequality of the second kind arising in a plate frictional bending problem is considered.By using regularization method,the original problem can be formulated as a differentiable variational equation,and the corresponding discrete FEM vari- ational equation is presented afterwards.Abstract error estimates and error estimates of the approximation are derived in terms of energy norm and L~2-norm.

【基金】 Supported by the National Natural Science Foundation of China(10201026,10672111)
  • 【文献出处】 Applied Mathematics:A Journal of Chinese Universities(Series B) ,高校应用数学学报B辑(英文版) , 编辑部邮箱 ,2008年01期
  • 【分类号】O241.5
  • 【被引频次】1
  • 【下载频次】31
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