Efficiently implementable iterative methods for linear elliptic variational inequalities with constraints on the gradient of solution
type: Item
instance of: scholarly article
title: Efficiently implementable iterative methods for linear elliptic variational inequalities with constraints on the gradient of solution
zbMATH Open document ID: 1328.65146
DOI: 10.3103/S1066369X15070026
author: N. S. Kashtanov
author: A. V. Lapin
published in: Russian Mathematics
publication date: 2015-11-17T00:00:00Z
review text: The authors develop a new iterative method for finite-dimensional constrained saddle point problem with linear operator and prove the convergence of the method. The proposed method includes a generalized Uzawa method as a special case. The convergence proof of two-stage iterative methods are also given. Numerical examples demonstrate the high convergence rate of the methods and their efficiency.
reviewed by: Bülent Karasözen
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 6509901
zbMATH Keywords: constrained saddle point problem
zbMATH Keywords: variational inequality
zbMATH Keywords: finite difference approximation
zbMATH Keywords: iterative methods
zbMATH Keywords: convergence
zbMATH Keywords: Uzawa method
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6509901