@Article{NMTMA-12-1093,
author = {Huang , Baohua and Ma , Changfeng},
title = {Convergence Analysis of the Inexact Uzawa Algorithm for Nonlinear Saddle Point Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2019},
volume = {12},
number = {4},
pages = {1093--1118},
abstract = {
In this paper, we consider the inexact Uzawa algorithm for solving the nonlinear saddle point problem. Based on the energy norm, some sufficient conditions are given for the convergence of the algorithm, and the error analysis is also presented. Moreover, some numerical results are reported to illustrate the efficiency of the considered algorithm.
},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2018-0083},
url = {http://global-sci.org/intro/article_detail/nmtma/13216.html}
}
TY - JOUR
T1 - Convergence Analysis of the Inexact Uzawa Algorithm for Nonlinear Saddle Point Problems
AU - Huang , Baohua
AU - Ma , Changfeng
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 1093
EP - 1118
PY - 2019
DA - 2019/06
SN - 12
DO - http://doi.org/10.4208/nmtma.OA-2018-0083
UR - https://global-sci.org/intro/article_detail/nmtma/13216.html
KW - Nonlinear saddle point problem, inexact Uzawa algorithm, preconditioned, convergence analysis, numerical experiments.
AB -
In this paper, we consider the inexact Uzawa algorithm for solving the nonlinear saddle point problem. Based on the energy norm, some sufficient conditions are given for the convergence of the algorithm, and the error analysis is also presented. Moreover, some numerical results are reported to illustrate the efficiency of the considered algorithm.
Huang , Baohua and Ma , Changfeng. (2019). Convergence Analysis of the Inexact Uzawa Algorithm for Nonlinear Saddle Point Problems.
Numerical Mathematics: Theory, Methods and Applications. 12 (4).
1093-1118.
doi:10.4208/nmtma.OA-2018-0083
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