Peters, Jörg; Reichelt, Volker; Reusken, Arnold Fast iterative solvers for discrete Stokes equations. (English) Zbl 1095.65104 SIAM J. Sci. Comput. 27, No. 2, 646-666 (2005). This paper deals with three methods of inexact Uzawa methods (the preconditioned conjugate gradient method, the preconditioned MINRES method and the method MGUZAWA) for the solution of a three-dimensional Stokes problem. A detailed comparative study and a convergence analysis of MGUZAWA method are presented. Some numerical experiments are given. Reviewer: Pavol Chocholatý (Bratislava) Cited in 24 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65F10 Iterative numerical methods for linear systems 35J25 Boundary value problems for second-order elliptic equations 35Q30 Navier-Stokes equations 65F35 Numerical computation of matrix norms, conditioning, scaling 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs Keywords:Stokes equations; inexact Uzawa methods; MINRES; multigrid; preconditioning; method MGUZAWA; convergence; numerical experiments PDFBibTeX XMLCite \textit{J. Peters} et al., SIAM J. Sci. Comput. 27, No. 2, 646--666 (2005; Zbl 1095.65104) Full Text: DOI