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Volume 12, Issue 4
Convergence Analysis of the Inexact Uzawa Algorithm for Nonlinear Saddle Point Problems

Baohua Huang & Changfeng Ma

DOI: 10.4208/nmtma.OA-2018-0083

Numer. Math. Theor. Meth. Appl., 12 (2019), pp. 1093-1118.

Published online: 2019-06

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  • 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.

  • Keywords

Nonlinear saddle point problem, inexact Uzawa algorithm, preconditioned, convergence analysis, numerical experiments.

  • AMS Subject Headings

65H10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

macf@fjnu.edu.cn (Changfeng Ma)

  • BibTex
  • RIS
  • TXT
@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.

Baohua Huang & Changfeng Ma. (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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