Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations

DOI10.1016/j.apm.2012.02.051zbMath1351.76060OpenAlexW2041179520MaRDI QIDQ350369

Pengzhan Huang, Xinlong Feng, Yin-Nian He

Publication date: 7 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.02.051

zbMATH Keywords

Navier-Stokes equationserror estimatetwo-level strategylocal Gauss integrationdefect-correctionOseen iterative

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 (23)

A three-step Oseen correction method for the steady Navier-Stokes equations ⋮ Difference Finite Element Method for the 3D Steady Navier–Stokes Equations ⋮ Local and parallel stabilized finite element methods based on full domain decomposition for the stationary Stokes equations ⋮ A two-level stabilized quadratic equal-order finite element variational multiscale method for incompressible flows ⋮ Defect deferred correction method for two domain natural convection problem ⋮ Two‐grid stabilized algorithms for the steady Navier–Stokes equations with damping ⋮ Two-level iterative finite element methods for the stationary natural convection equations with different viscosities based on three corrections ⋮ A new two-level defect-correction method for the steady Navier-Stokes equations ⋮ Convergence of several iterations for double‐diffusive natural convection model ⋮ A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions ⋮ Deferred defect‐correction finite element method for the Darcy‐Brinkman model ⋮ A parallel stabilized finite element variational multiscale method based on fully overlapping domain decomposition for the incompressible Navier-Stokes equations ⋮ Two-grid Arrow-Hurwicz methods for the steady incompressible Navier-Stokes equations ⋮ Two-level defect-correction stabilized algorithms for the simulation of 2D/3D steady Navier-Stokes equations with damping ⋮ Local and parallel stabilized finite element algorithms based on the lowest equal-order elements for the steady Navier-Stokes equations ⋮ Parallel iterative stabilized finite element algorithms based on the lowest equal-order elements for the stationary Navier-Stokes equations ⋮ A two-grid stabilized mixed finite element method for semilinear elliptic equations ⋮ Two-Level Defect-Correction Stabilized Finite Element Method for the Incompressible Navier–Stokes Equations Based on Pressure Projection ⋮ Difference finite element method for the 3D steady Stokes equations ⋮ A two-level fully discrete finite element variational multiscale method for the unsteady Navier-Stokes equations ⋮ Several iterative schemes for the stationary natural convection equations at different <scp>R</scp>ayleigh numbers ⋮ A three-step defect-correction algorithm for incompressible flows with friction boundary conditions ⋮ Parallel pressure projection stabilized finite element algorithms based on two-grid discretizations for incompressible flows

Uses Software

• FreeFem++

Cites Work

• A parallel two-level linearization method for incompressible flow problems
• Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
• A new stabilized finite element method for the transient Navier-Stokes equations
• Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier-Stokes equations
• A new defect correction method for the Navier-Stokes equations at high Reynolds numbers
• A regularity result for the Stokes problem in a convex polygon
• The defect correction principle and discretization methods
• Solution algorithms for incompressible viscous flows at high Reynolds numbers
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• A defect-correction method for the incompressible Navier-Stokes equations.
• Two-level Picard and modified Picard methods for the Navier-Stokes equations
• A two-level discretization method for the Navier-Stokes equations
• A stabilized finite element method based on two local Gauss integrations for the Stokes equations
• Stabilized finite element method for the stationary Navier-Stokes equations
• Two-level stabilized finite element methods for the steady Navier-Stokes problem
• A simplified two-level method for the steady Navier-Stokes equations
• A two-level finite element method for the stationary Navier-Stokes equations based on a stabilized local projection
• Defect correction methods for convection dominated convection-diffusion problems
• A TWO-LEVEL DEFECT–CORRECTION METHOD FOR NAVIER–STOKES EQUATIONS
• The Long-Time Behavior of Finite-Element Approximations of Solutions to Semilinear Parabolic Problems
• 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
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A posteriori error estimators for a two-level finite element method for the Navier-Stokes equations
• Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• Subgrid Stabilized Defect Correction Methods for the Navier–Stokes Equations

This page was built for publication: Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations