Effective preconditioning of Uzawa type schemes for a generalized Stokes problem

DOI10.1007/s002110000160zbMath0964.65129OpenAlexW2128518767MaRDI QIDQ1587929

Maxim A. Olshanskii, Georgij M. Kobelkov

Publication date: 19 July 2001

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110000160

zbMATH Keywords

convergencenumerical resultsSchur complementfinite element methodsiterative methodsfinite difference methodspreconditionergeneralized Stokes problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (17)

Preconditioning discretizations of systems of partial differential equations ⋮ A decoupled augmented IIM strategy for incompressible two-phase flows with interfaces on irregular domains ⋮ An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries ⋮ Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations ⋮ A Robust Multigrid Method for the Time-Dependent Stokes Problem ⋮ Grad-div stablilization for Stokes equations ⋮ An Uzawa-type algorithm for the coupled Stokes equations ⋮ An alternative HSS preconditioner for the unsteady incompressible Navier-Stokes equations in rotation form ⋮ Convergence of the Uzawa method for the Stokes equations with damping ⋮ A mixed finite element method for the generalized Stokes problem ⋮ A fast preconditioner for the incompressible Navier-Stokes equations ⋮ Symmetric Part Preconditioning of the CG Method for Stokes Type Saddle-Point Systems ⋮ Analysis of some projection method based preconditioners for models of incompressible flow ⋮ Estimates of deviations from exact solutions for boundary-value problems with incompressibility condition ⋮ Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems ⋮ Multigrid analysis for the time dependent Stokes problem ⋮ Krylov-based Uzawa algorithms for the solution of the Stokes equations using discontinuous-pressure tetrahedral finite elements

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