Convergence Analysis of the Inexact Uzawa Algorithm for Nonlinear Saddle Point Problems

Convergence Analysis of the Inexact Uzawa Algorithm for Nonlinear Saddle Point Problems

Year:    2019

Author:    Changfeng Ma, Baohua Huang, Changfeng Ma

Numerical Mathematics: Theory, Methods and Applications, Vol. 12 (2019), Iss. 4 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.OA-2018-0083

Numerical Mathematics: Theory, Methods and Applications, Vol. 12 (2019), Iss. 4 : pp. 1093–1118

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    26

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

Author Details

Changfeng Ma

Baohua Huang

Changfeng Ma