A CLASS OF VARIATIONAL-HEMIVARIATIONAL INEQUALITIES WITH APPLICATIONS TO FRICTIONAL CONTACT PROBLEMS

被引：142

作者：

Han, Weimin ^{[1
]}

Migorski, Stanislaw ^{[2
]}

Sofonea, Mircea ^{[3
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

[2] Jagiellonian Univ, Fac Math & Comp Sci, Inst Comp Sci, PL-30348 Krakow, Poland

[3] Univ Perpignan, Lab Math & Phys, F-66860 Perpignan, France

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2014年 / 46卷 / 06期

关键词：

variational-hemivariational inequality; Clarke subdifferential; existence and unique-ness; continuous dependence; finite element solution; convergence; error estimates; frictional contact;

D O I：

10.1137/140963248

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of variational-hemivariational inequalities is studied in this paper. An inequality in the class involves two nonlinear operators and two nondifferentiable functionals, of which at least one is convex. An existence and uniqueness result is proved for a solution of the inequality. Continuous dependence of the solution on the data is shown. Convergence is established rigorously for finite element solutions of the inequality. An error estimate is derived which is of optimal order for the linear finite element method under appropriate solution regularity assumptions. Finally, the results are applied to a variational-hemivariational inequality arising in the study of some frictional contact problems.

引用

页码：3891 / 3912

页数：22

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