On the Nonlinear Inexact Uzawa Algorithm for Saddle-Point Problems

Authors:
Xiao-liang Cheng
Affiliations:
-
Venue:
SIAM Journal on Numerical Analysis
Year:
2000

Citing 0
Cited 6

Analysis of iterative algorithms of Uzawa type for saddle point problems

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Analysis of the nonlinear Uzawa algorithm for symmetric saddle point problems

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Axioms and variational problems in surface parameterization

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A Modified Nonlinear Inexact Uzawa Algorithm with a Variable Relaxation Parameter for the Stabilized Saddle Point Problem

SIAM Journal on Matrix Analysis and Applications

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Abstract

This paper discusses convergence behavior of the nonlinear inexact Uzawa algorithm for solving saddle-point problems presented in a recent paper of Bramble, Pasciak, and Vassilev ( SIAM J. Numer. Anal., 34 (1997), pp. 1072--1092). It is shown that this algorithm converges under a condition weaker than that stated in their paper.