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

Zheng Tie-sheng; Li Li; Xu Qing-yu

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Article Navigation > Applied Mathematics and Mechanics > 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.

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.

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

Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an, 710049

Received Date: 1994-07-29
Publish Date: 1995-04-15

Abstract

Abstract

Based on the nonlinear characiers of the discrete problems of some elliptical variational inequalities, this paper presents a numerical iterative method, the schemes of which are pithy and converge rapidly The new method possesses a high efficiency insolving such applied engineering problems as obstacle problems and.free boundary problems arising in fluid lubrications.
- variational inequalities,
- iterative method,
- fluid lubrications

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References(8)

References

[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.