Iterative Solution Methods for Variational Inequalities with Nonlinear Main Operator and Constraints to Gradient of Solution

被引：3

作者：

Laitinen, E. ^{[1
]}

Lapin, A. ^{[1
]}

Lapin, S. ^{[1
]}

机构：

[1] Kazan Fed Univ, Kazan, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2012年 / 33卷 / 04期

关键词：

constrained saddle-point problem; inclusion; finite element approximation; iterative methods;

D O I：

10.1134/S1995080212040129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Convergence of the preconditioned Uzawa-type and Arrow-Hurwitz-type iterative methods for nonlinear finite dimensional constrained saddle point problems is investigated. The general results are applied to the finite element approximation of a variational inequality with nonlinear main operator and constraints to gradient of solution.

引用

页码：341 / 352

页数：12

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[2]

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[3]

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[5]

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