A corrected nonlinear Uzawa method for solving stabilized saddle point problems
type: Item
instance of: scholarly article
title: A corrected nonlinear Uzawa method for solving stabilized saddle point problems
zbMATH Open document ID: 1115.65036
author: Y. Duan
author: Yiqin Lin
published in: Applied Mathematics and Computation
publication date: 2007-02-19T00:00:00Z
review text: Corrected nonlinear Uzawa algorithm for solving stabilized saddle point problems is proposed and the convergence rate is analyzed. It is shown that the new algorithm converges to the exact solution under sufficient conditions which are less restrective than those stated for the plane nonlinear Uzawa method [cf. \textit{Z.-H. Cao}, Appl. Numer. Math, 46, 157--171 (2003; Zbl 1032.65029)]. Numerical experiments show that the corrected method needs less iterations and has more smooth convergence curves than the plane method when they are applied to Stokes equations discretized by mixed finite elements.
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 5128311
zbMATH Keywords: saddle point problem
zbMATH Keywords: nonlinear Uzawa algorithm
zbMATH Keywords: convergence
zbMATH Keywords: numerical experiments
zbMATH Keywords: Stokes equations
zbMATH Keywords: mixed finite elements
reviewed by: Rózsa Horváth-Bokor
MaRDI profile type: Publication
full work available at URL: j.amc.2006.05.152
OpenAlex ID: W2072253819
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DOI: 10.1016/J.AMC.2006.05.152
description: scientific article; zbMATH DE number 5128311