Article ID Journal Published Year Pages File Type
4626249 Applied Mathematics and Computation 2015 21 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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