Corrected Uzawa methods for solving large nonsymmetric saddle point problems

In this paper we consider the solution of linear systems of large nonsymmetric saddle point problems by two nonlinear iterative methods, which are similar in some respects to the Uzawa-type methods and are called corrected Uzawa methods. Their convergence rates are analyzed. The results of numerical experiments are presented when we apply them to Navier–Stokes equations discretized by mixed finite elements.