Effective preconditioning of Uzawa type schemes for a generalized Stokes problem
type: Item
instance of: scholarly article
title: Effective preconditioning of Uzawa type schemes for a generalized Stokes problem
zbMATH Open document ID: 0964.65129
author: G. M. Kobel'kov
author: Maxim A. Olshanskii
published in: Numerische Mathematik
publication date: 2001-07-19T00:00:00Z
review text: This paper is concerned with the Schur complement of a model problem as a preconditioner for the Uzawa type schemes for the generalized Stokes problem (the Stokes problem with the additional term \(\alpha u\) in the motion equation) and sufficient conditions for convergence in the form of inequalities of Ladyshenskaya-Babuška-Brezzi type. The authors establish that the method converges with a rate that is bounded by some constant independent of \(\alpha\). Numerical results are presented.
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 1538607
zbMATH Keywords: iterative methods
zbMATH Keywords: finite difference methods
zbMATH Keywords: finite element methods
zbMATH Keywords: numerical results
zbMATH Keywords: Schur complement
zbMATH Keywords: preconditioner
zbMATH Keywords: generalized Stokes problem
zbMATH Keywords: convergence
describes a project that uses: FEATFLOW
MaRDI profile type: Publication
full work available at URL: s002110000160
OpenAlex ID: W2128518767
DOI: 10.1007/S002110000160
description: scientific article; zbMATH DE number 1538607