Inexact Uzawa algorithms for solving nonlinear saddle-point problems are proposed. A simple sufficient condition for the convergence of the inexact Uzawa algorithms is obtained. Numerical experiments show that the inexact Uzawa algorithms are convergent.
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%0 Journal Article
%1 li2010analysis
%A Li, Jian-Lei
%A Huang, Ting-Zhu
%A Li, Liang
%B The ANZIAM Journal
%D 2010
%I Cambridge University Press
%K 65f10-iterative-methods-for-linear-systems 65h10-systems-of-nonlinear-algebraic-equations
%N 3
%P 369–382
%R 10.1017/S1446181110000829
%T Analysis of the Inexact Uzawa Algorithms for Nonlinear Saddle-Point Problems
%U https://www.cambridge.org/core/article/analysis-of-the-inexact-uzawa-algorithms-for-nonlinear-saddlepoint-problems/9B31CE11E63BA41D95BF90FEF405408B
%V 51
%X Inexact Uzawa algorithms for solving nonlinear saddle-point problems are proposed. A simple sufficient condition for the convergence of the inexact Uzawa algorithms is obtained. Numerical experiments show that the inexact Uzawa algorithms are convergent.
@article{li2010analysis,
abstract = {Inexact Uzawa algorithms for solving nonlinear saddle-point problems are proposed. A simple sufficient condition for the convergence of the inexact Uzawa algorithms is obtained. Numerical experiments show that the inexact Uzawa algorithms are convergent.},
added-at = {2019-05-06T02:38:42.000+0200},
author = {Li, Jian-Lei and Huang, Ting-Zhu and Li, Liang},
biburl = {https://www.bibsonomy.org/bibtex/269ade1abc100b802aaf63f4ed03629b6/gdmcbain},
booktitle = {The ANZIAM Journal},
doi = {10.1017/S1446181110000829},
interhash = {8fbaa96181f61b0c85bc2864929254e4},
intrahash = {69ade1abc100b802aaf63f4ed03629b6},
issn = {14461811},
keywords = {65f10-iterative-methods-for-linear-systems 65h10-systems-of-nonlinear-algebraic-equations},
number = 3,
pages = {369–382},
publisher = {Cambridge University Press},
timestamp = {2020-07-28T09:23:35.000+0200},
title = {Analysis of the Inexact Uzawa Algorithms for Nonlinear Saddle-Point Problems},
url = {https://www.cambridge.org/core/article/analysis-of-the-inexact-uzawa-algorithms-for-nonlinear-saddlepoint-problems/9B31CE11E63BA41D95BF90FEF405408B},
volume = 51,
year = 2010
}