Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier-Stokes equations

DOI10.1016/j.amc.2006.05.034zbMath1151.76528OpenAlexW2163119241MaRDI QIDQ858815

Jian Li

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.034

zbMATH Keywords

Navier-Stokes equationsinf-sup conditionstabilized finite element methodtwo-level methodlocal Gauss integral technique

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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, Difference Finite Element Method for the 3D Steady Navier–Stokes Equations, Two-level stabilized finite element method for Stokes eigenvalue problem, A multi-level stabilized finite element method for the stationary Navier-Stokes equations, Local and parallel stabilized finite element methods based on full domain decomposition for the stationary Stokes equations, Comparative Study of Space Iteration Methods Based on Nonconforming Finite Element for Stationary Navier-Stokes Equations, 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, Unnamed Item, A two-level stabilized quadratic equal-order finite element variational multiscale method for incompressible flows, Semi-discrete stabilized finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions based on regularization procedure, Two-level pressure projection finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions, An Oseen two-level stabilized mixed finite-element method for the 2D/3D stationary Navier-Stokes equations, A three-step defect-correction stabilized algorithm for incompressible flows with non-homogeneous Dirichlet boundary conditions, Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations, A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations, Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations, Two‐grid variational multiscale algorithms for the stationary incompressible Navier‐Stokes equations with friction boundary conditions, Highly efficient calculation schemes of finite-element filter approach for the eigenvalue problem of electric field, Two-level stabilized finite volume methods for stationary Navier-Stokes equations, A two-scale discretization scheme for mixed variational formulation of eigenvalue problems, Two-level Brezzi-Pitkäranta stabilized finite element methods for the incompressible flows, Two-level defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions, A finite element variational multiscale method for incompressible flow, An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method, 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 method of the non-conforming Crouzeix-Raviart element for the Steklov eigenvalue problem, Two-level mixed finite element methods for the Navier-Stokes equations with damping, 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, Error estimates for two-level penalty finite volume method for the stationary Navier-Stokes equations, A two-level method in space and time for the Navier-Stokes equations, Analysis of newton multilevel stabilized finite volume method for the three-dimensional stationary Navier-Stokes equations, Parallel pressure projection stabilized finite element algorithms based on two-grid discretizations for incompressible flows

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stabilised bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the Stokes problem
• A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• Stabilized mixed methods for the Stokes problem
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Two-level Picard and modified Picard methods for the Navier-Stokes equations
• Optimal low order finite element methods for incompressible flow
• \(hp\)-finite element simulations for Stokes flow -- stable and stabilized
• A two-level discretization method for the Navier-Stokes equations
• A multi-level stabilized finite element method for the stationary 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
• Attractors for the Penalized Navier–Stokes Equations
• An Absolutely Stabilized Finite Element Method for the Stokes Problem
• A Two-Level Method with Backtracking for the Navier--Stokes Equations
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• Fourier analysis of an equal-order incompressible flow solver stabilized by pressure gradient projection
• An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the 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
• A Multilevel Mesh Independence Principle for the Navier–Stokes Equations
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• A COMPARATIVE STUDY OF TIME-STEPPING TECHNIQUES FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS: FROM FULLY IMPLICIT NON-LINEAR SCHEMES TO SEMI-IMPLICIT PROJECTION METHODS
• Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra