## 留言板

 引用本文: 郑铁生, 李立, 许庆余. 一类椭圆型变分不等式离散问题的迭代算法*[J]. 应用数学和力学, 1995, 16(4): 329-335.
Zheng Tie-sheng, Li Li, Xu Qing-yu. An Iterative Method for the Discrete Problems of a Class of Elliptical Variational Inequalities[J]. Applied Mathematics and Mechanics, 1995, 16(4): 329-335.
 Citation: Zheng Tie-sheng, Li Li, Xu Qing-yu. An Iterative Method for the Discrete Problems of a Class of Elliptical Variational Inequalities[J]. Applied Mathematics and Mechanics, 1995, 16(4): 329-335.

## An Iterative Method for the Discrete Problems of a Class of Elliptical Variational Inequalities

• 摘要: 根据一类椭圆型变分不等式离散问题所具有的非线性特征,提出了一种简明快速的迭代算法,该方法在解决障碍问题及流体润滑油膜破裂自然边值问题等工程应用问题时具有较高的效率。
•  [1] Glowinski. R., Numerical Methods for Nonlinear Variational Problems, Springer Vering New York Inc.(1984). [2] Stuben. K., Algebraic multigrid (AMG):Experiences and comparisons, Appl. Math. Comput., 13(1983), 419-451. [3] 曾金平、李董辉,对称双正线性互补问题.多重网格迭代解收敛性理论,计算数学,(1) (1994),25-30 [4] Lions. J. L. and G. Stampacchia, Variational Inequalities, Comm. Pure Appl. Math., 20(1967), 493-519. [5] Kinderlenhrer, D. and G. Stanpacchia, An Introduction to Variational Inegualities and Their Applications, Acad. Press, New York (1980). [6] Zhou, S. Z., The error bound of finite element method for a two-dimensional singular boundary value problem, J. Conrput. Math., 1 (1983), 143-147. [7] Cimatti. G., On a problem of the theory of lubrication governed by a variational inequalities, Appl. Math. Optinr., 3(1977), 227-242. [8] Zhou. S. Z., A direct method for the linear complimentary problem,.J. Comput. Math., 8(1990), 178-182.

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##### 出版历程
• 收稿日期:  1994-07-29
• 刊出日期:  1995-04-15

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