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Fast iterative solvers for discrete Stokes equations. (English) Zbl 1095.65104

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.

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
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