Stability and convergence of iterative methods related to viscosities for the 2D/3D steady Navier-Stokes equations

DOI10.1016/j.jmaa.2014.10.037zbMath1305.76057OpenAlexW2025338319MaRDI QIDQ472318

Yin-Nian He

Publication date: 19 November 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.037

zbMATH Keywords

Navier-Stokes equationsfinite element methodtwo-level methodNewton correctionOseen correctionStokes correction

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 (15)

Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics ⋮ Iterative finite element variational multiscale method for the incompressible Navier-Stokes equations ⋮ The time viscosity-splitting method for the Boussinesq problem ⋮ Two-level iterative finite element methods for the stationary natural convection equations with different viscosities based on three corrections ⋮ Stability and convergence of a finite element method for a semilinear elliptical problem with small viscosity ⋮ Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equations ⋮ Stability and convergence of the higher projection method for the time-dependent viscoelastic flow problem ⋮ The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics ⋮ Uniform error estimates of finite element method for a 3D semilinear elliptic problem with small viscosity ⋮ A multilevel finite element variational multiscale method for incompressible Navier-Stokes equations based on two local Gauss integrations ⋮ Convergence of a \(\boldsymbol{B}\)-\(\boldsymbol{E}\) based finite element method for MHD models on Lipschitz domains ⋮ Coupled iterative analysis for stationary inductionless magnetohydrodynamic system based on charge-conservative finite element method ⋮ A fully divergence-free finite element scheme for stationary inductionless magnetohydrodynamic equations ⋮ Error estimates for spectral approximation of flow optimal control problem with \(L^2 \)-norm control constraint ⋮ Stability and convergence of two-level iterative methods for the stationary incompressible magnetohydrodynamics with different Reynolds numbers

Cites Work

• Unnamed Item
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• Finite element approximation of the Navier-Stokes equations
• Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
• The stabilized extrapolated trapezoidal finite element method for the Navier-Stokes equations
• A two-level finite element method for the Navier-Stokes equations based on a new projection
• Convergence of iterative methods in penalty finite element approximation of the Navier-Stokes equations
• A stable finite element for the Stokes equations
• Two-level method and some a priori estimates in unsteady Navier-Stokes calculations
• Two-level Picard and modified Picard methods for the Navier-Stokes equations
• Some iterative finite element methods for steady Navier-Stokes equations with different viscosities
• A two-level discretization method for the Navier-Stokes equations
• Two-level stabilized finite element methods for the steady Navier-Stokes problem
• Multi-level spectral Galerkin method for the Navier-Stokes equations. II: Time discretization
• Multi-level spectral Galerkin method for the Navier-Stokes problem. I: Spatial discretization
• A simplified two-level method for the steady Navier-Stokes equations
• Two-grid finite-element schemes for the transient Navier-Stokes problem
• A two-level correction method in space and time based on Crank–Nicolson scheme for Navier–Stokes equations
• Two-level Newton iterative method for the 2D/3D steady Navier-Stokes equations
• A TWO-LEVEL DEFECT–CORRECTION METHOD FOR NAVIER–STOKES EQUATIONS
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• A Two-Level Method with Backtracking for the Navier--Stokes Equations
• Numerical Solution of the Stationary Navier--Stokes Equations Using a Multilevel Finite Element Method
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• Local Bisection Refinement for N-Simplicial Grids Generated by Reflection
• Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
• On Preconditioning of Incompressible Non-Newtonian Flow Problems
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A Multilevel Mesh Independence Principle for the Navier–Stokes Equations
• A posteriori error estimators for a two-level finite element method for the Navier-Stokes equations
• A multilevel finite element method in space‐time for the Navier‐Stokes problem
• Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra

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