Iterative penalty methods for the steady Navier-Stokes equations

DOI10.1016/j.amc.2014.03.112zbMath1334.76084OpenAlexW2013694048MaRDI QIDQ274950

Liquan Mei, Hailong Qiu, Yamiao Zhang

Publication date: 25 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.112

zbMATH Keywords

Navier-Stokes equationserror estimatesinf-sup conditioniterative penalty methods

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 (2)

Iterative methods in penalty finite element discretization for the steady MHD equations ⋮ Iterative penalty finite element methods for the steady incompressible magnetohydrodynamic problem

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• A penalty finite element method based on the Euler implicit/explicit scheme for the time-dependent Navier-Stokes equations
• Finite element approximation of the pure Neumann problem using the iterative penalty method
• Error estimate of the \(P_1\) nonconforming finite element method for the penalized unsteady Navier-Stokes equations
• Convergence of iterative methods in penalty finite element approximation of the Navier-Stokes equations
• Finite element analysis of incompressible viscous flows by the penalty function formulation
• Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations
• An iterative penalty method for the finite element solution of the stationary Navier-Stokes equations
• Analysis of the iterative penalty method for the 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
• Iterative methods in penalty finite element discretizations for the Steady Navier–Stokes equations
• Two-level Newton iterative method for the 2D/3D steady Navier-Stokes equations
• Analysis of a sequential regularization method for the unsteady Navier-Stokes equations
• Finite element methods for constrained problems in elasticity
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations
• Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
• A Multilevel Mesh Independence Principle for the Navier–Stokes Equations
• Long Time Numerical Solution of the Navier–Stokes Equations Based on a Sequential Regularization Formulation
• Une méthode d'approximation de la solution des équations de Navier-Stokes
• On error estimates of some higher order penalty-projection methods for Navier-Stokes equations
• An AIM and one-step Newton method for the Navier-Stokes equations
• Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra

This page was built for publication: Iterative penalty methods for the steady Navier-Stokes equations