| An FEM approximation for a fourth-order variational inequality of second kind |
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| 作者单位： | [1]School of Management, Suzhou Univ. of Sci. ＆ Tech., Suzhou 215008, China. [2]School of Math. Sci., Suzhou Univ., Suzhou 215006, China. Corresponding author. |
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| 摘 要： | 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 variational equation is presented afterwards. Abstract error estimates and error estimates of the approximation are derived in terms of energy norm and L^2-norm.
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| 关 键 词： | 板块理论 不等式 近似值 应用数学 |
| 收稿时间： | 1 September 2006 |
An FEM approximation for a fourth-order variational inequality of second kind |
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| Authors: | Fu-bin Qian Rui Ding |
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| Institution: | (1) School of Management, Suzhou Univ. of Sci. & Tech., Suzhou, 215008, China;(2) School of Math. Sci., Suzhou Univ., Suzhou, 215006, China |
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| 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 L2-norm. |
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| Keywords: | plate theory variational inequality of the second kind fourth-order'problem FEM regulariza-tion error estimate |
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