Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
type: Item
instance of: scholarly article
title: Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
zbMATH Open document ID: 1227.76031
author: Jian Li
author: Yinnian He
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2011-11-30T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 5982939
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: iterative method
zbMATH Keywords: stability
zbMATH Keywords: error estimate
MaRDI profile type: Publication
full work available at URL: j.cma.2008.12.001
OpenAlex ID: W2036207036
cites work: Equivalent Norms for Sobolev Spaces
cites work: Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations
cites work: On a Higher Order Accurate Fully Discrete Galerkin Approximation to the Navier-Stokes Equations
cites work: Error estimates for finite element method solution of the Stokes problem in the primitive variables
cites work: Q3890207
cites work: An analysis of a mixed finite element method for the Navier-Stokes equations
cites work: Stabilized finite element method for the stationary Navier-Stokes equations
cites work: Two-level stabilized finite element methods for the steady Navier-Stokes problem
cites work: An optimal nonlinear Galerkin method with mixed finite elements for the steady Navier-Stokes equations
cites work: Numerical analysis of a modified finite element nonlinear Galerkin method
cites work: Nonlinear Galerkin method and two-step method for the Navier-Stokes equations
cites work: Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations
cites work: Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
cites work: Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem
cites work: Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
cites work: A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
cites work: A simplified two-level method for the steady Navier-Stokes equations
cites work: Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
cites work: Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
cites work: Finite Element Approximation of the Nonstationary Navier–Stokes Problem III. Smoothing Property and Higher Order Error Estimates for Spatial Discretization
cites work: Approximation of the global attractor for the incompressible Navier-Stokes equations
cites work: Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term
cites work: A regularity result for the Stokes problem in a convex polygon
cites work: The Long-Time Behavior of Finite-Element Approximations of Solutions to Semilinear Parabolic Problems
cites work: An AIM and one-step Newton method for the Navier-Stokes equations
cites work: Q5487627
cites work: Q4240331
cites work: Long time stability and convergence for fully discrete nonlinear galerkin methods
cites work: Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
cites work: Q3684480
cites work: Infinite-dimensional dynamical systems in mechanics and physics
cites work: Error analysis for a second order-scheme for the Navier-Stokes equations
cites work: Using divergence-free wavelets for the numerical solution of the 2-D stationary Navier-Stokes equations
DOI: 10.1016/J.CMA.2008.12.001
description: scientific article; zbMATH DE number 5982939