Prox-regularization and solution of ill-posed elliptic variational inequalities

被引：10

作者：

Kaplan A. ^{[1
]}

Tichatschke R. ^{[2
]}

机构：

[1] Dept. of Mathematics, Technical University of Darmstadt

[2] Dept. of Mathematics, University of Trier

来源：

Applications of Mathematics | 1997年 / 42卷 / 2期

关键词：

Finite element methods; Ill-posed elliptic variational inequalities; Prox-regularization; Stable numerical methods; Two-body contact problem;

D O I：

10.1023/A:1022243127667

中图分类号：

学科分类号：

摘要：

In this paper new methods for solving elliptic variational inequalities with weakly coercive operators are considered. The use of the iterative prox-regularization coupled with a successive discretization of the variational inequality by means of a finite element method ensures well-posedness of the auxiliary problems and strong convergence of their approximate solutions to a solution of the original problem. In particular, regularization on the kernel of the differential operator and regularization with respect to a weak norm of the space are studied. These approaches are illustrated by two nonlinear problems in elasticity theory.

引用

页码：111 / 145

页数：34

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