A posteriori error estimators for a two-level finite element method for the Navier-Stokes equations

DOI<333::AID-NUM4>3.0.CO;2-P 10.1002/(SICI)1098-2426(199605)12:3<333::AID-NUM4>3.0.CO;2-PzbMath0852.76039OpenAlexW2092076309MaRDI QIDQ4884075

Vincent J. Ervin, Joseph M. L. Maubach, William J. Layton

Publication date: 8 July 1996

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199605)12:3<333::aid-num4>3.0.co;2-p

zbMATH Keywords

mesh adaptivity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

An efficient two-level finite element algorithm for the natural convection equations ⋮ An efficient two-step algorithm for the incompressible flow problem ⋮ Two-level stabilized finite element method for Stokes eigenvalue problem ⋮ A simplified two-level method for the steady Navier-Stokes equations ⋮ Residual a posteriori error estimate two-grid methods for the steady Navier-Stokes equation with stream function form ⋮ Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations ⋮ Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations ⋮ A posteriori error estimation for two level discretizations of flows of electrically conducting, incompressible fluids ⋮ Two-level finite element methods for the steady bio-convection flows problem ⋮ Recovery-Based Error Estimator for Stabilized Finite Element Method for the Stationary Navier--Stokes Problem ⋮ A nonlinear Galerkin mixed element method and a posteriori error estimator for the stationary Navier-Stokes equations ⋮ Error estimates of a two‐grid penalty finite element method for the Smagorinsky model ⋮ Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations ⋮ Two‐grid variational multiscale algorithms for the stationary incompressible Navier‐Stokes equations with friction boundary conditions ⋮ Two-level stabilized finite volume methods for stationary Navier-Stokes equations ⋮ Two-level Brezzi-Pitkäranta stabilized finite element methods for the incompressible flows ⋮ Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equations ⋮ An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations ⋮ An adaptive residual local projection finite element method for the Navier-Stokes equations ⋮ Residual a posteriori error estimate of a new two-level method for steady Navier-Stokes equations ⋮ Error estimates of two-level finite element method for Smagorinsky model ⋮ Two-level stabilized nonconforming finite element method for the Stokes equations. ⋮ Multi-level mixed finite element algorithms for the stationary incompressible magneto-hydrodynamics equations ⋮ Two-level stabilized finite element methods for the steady Navier-Stokes problem ⋮ Residual a posteriori error estimates for two-level finite element methods for the Navier-Stokes equations ⋮ Two-step algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions ⋮ An AIM and one-step Newton method for the Navier-Stokes equations ⋮ Two-level stabilized finite element method for the transient Navier–Stokes equations ⋮ An adaptive multiscale hybrid-mixed method for the Oseen equations ⋮ A posteriori analysis of the Newton method applied to the Navier-Stokes problem ⋮ Multi-level stabilized algorithms for the stationary incompressible Navier-Stokes equations with damping ⋮ A two-level multiphysics finite element method for a nonlinear poroelasticity model ⋮ A posteriori error estimations for mixed finite element approximations to the Navier-Stokes equations based on Newton-type linearization ⋮ Error estimates for two-level penalty finite volume method for the stationary Navier-Stokes equations ⋮ Two-grid stabilized methods for the stationary incompressible Navier-Stokes equations with nonlinear slip boundary conditions ⋮ Decoupled two level finite element methods for the steady natural convection problem ⋮ A two-level variational multiscale method for incompressible flows based on two local Gauss integrations

Cites Work

• Unnamed Item
• A posteriori error estimation of finite element approximations in fluid mechanics
• A generalized conjugate gradient, least square method
• Projektive Newton-Verfahren und Anwendungen auf nichtlineare Randwertaufgaben
• Conjugate gradient-type algorithms for a finite-element discretization of the Stokes equations
• A unified approach to a posteriori error estimation using element residual methods
• A two-level Newton, finite element algorithm for approximating electrically conducting incompressible fluid flows
• A posteriori error estimates for the Stokes equations: A comparison
• A two-level discretization method for the Navier-Stokes equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Inexact Newton Methods
• Error Estimates for Adaptive Finite Element Computations
• Local Bisection Refinement for N-Simplicial Grids Generated by Reflection
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations