On the convergence factor of Uzawa's algorithm
type: Item
instance of: scholarly article
title: On the convergence factor of Uzawa's algorithm
zbMATH Open document ID: 0601.76021
DOI: 10.1016/0377-0427(86)90026-9
author: W. Queck
author: Ulrich Langer
published in: Journal of Computational and Applied Mathematics
publication date: 1986-01-01T00:00:00Z
review text: We study convergence properties of Uzawa-type algorithms for the iterative solution of mixed finite element approximations to two- dimensional boundary value problems with equality constraints, such as the plane Stokes problem or the plane incompressible elasticity problem. We present estimates of the convergence factors which are optimal with respect to the discretization parameter h. It is shown, in particular, that for the problems mentioned the convergence factor of the classical Uzawa-algorithm is independent of h.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 3970298
zbMATH Keywords: Uzawa-type algorithms
zbMATH Keywords: iterative solution
zbMATH Keywords: mixed finite element approximations
zbMATH Keywords: two-dimensional boundary value problems
zbMATH Keywords: equality constraints
zbMATH Keywords: plane Stokes problem
zbMATH Keywords: plane incompressible elasticity problem
zbMATH Keywords: convergence factors
zbMATH Keywords: discretization parameter
zbMATH Keywords: classical Uzawa- algorithm
MaRDI profile type: Publication
full work available at URL: 0377-0427(86)90026-9
OpenAlex ID: W2014630948
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description: scientific article; zbMATH DE number 3970298