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The nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method for solving nonlinear saddle-point problems

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  • Huang, Na
  • Ma, Chang-Feng

Abstract

This paper mainly consider the construction of efficient Uzawa-type algorithms for solving the nonlinear saddle-point problem (NSPP). Two nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method are proposed for solving the NSPPs. By using the so-called energy-norm, the convergence of the proposed algorithms is verified under some practical conditions. In addition, some numerical results are reported to illustrate the behavior of the considered algorithm.

Suggested Citation

  • Huang, Na & Ma, Chang-Feng, 2015. "The nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method for solving nonlinear saddle-point problems," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 291-311.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:291-311
    DOI: 10.1016/j.amc.2015.08.022
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    Cited by:

    1. Ke, Yi-Fen & Ma, Chang-Feng, 2017. "The dimensional splitting iteration methods for solving saddle point problems arising from time-harmonic eddy current models," Applied Mathematics and Computation, Elsevier, vol. 303(C), pages 146-164.

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