A new local stabilized nonconforming finite element method for the Stokes equations

DOI10.1007/s00607-008-0001-zzbMath1155.65101OpenAlexW1977292054MaRDI QIDQ938328

Jian Li, Zhang-Xin Chen

Publication date: 19 August 2008

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-008-0001-z

zbMATH Keywords

stabilitynumerical resultserror estimateStokes equationsconforming finite element methodnonconforming finite element method

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

Related Items

An efficient two-step algorithm for the incompressible flow problem, Local projection stabilized method on unsteady Navier-Stokes equations with high Reynolds number using equal order interpolation, Modified characteristics projection finite element method for time-dependent conduction-convection problems, Two-level Newton iterative method based on nonconforming finite element discretization for 2D/3D stationary MHD equations, Two-level stabilized finite element method for Stokes eigenvalue problem, A stabilized difference finite element method for the 3D steady Stokes equations, A stabilised nonconforming finite element method for steady incompressible flows, Comparative Study of Space Iteration Methods Based on Nonconforming Finite Element for Stationary Navier-Stokes Equations, Analysis of the pressure projection stabilization method for the Darcy and coupled Darcy-Stokes flows, Stabilized multiscale nonconforming finite element method for the stationary Navier-Stokes equations, Optimal convergence of three iterative methods based on nonconforming finite element discretization for 2D/3D MHD equations, Numerical investigations on several stabilized finite element methods for the Stokes eigenvalue problem, Decoupled modified characteristics variational multiscale method for solving the blood solute dynamics model, Projection stabilized nonconforming finite element methods for the stokes problem, A defect-correction mixed finite element method for stationary conduction-convection problems, A stabilized characteristic-nonconforming finite element method for time-dependent incompressible Navier-Stokes equations, A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations, Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations, A local superconvergence analysis of the finite element method for the Stokes equations by local projections, Modified characteristics gauge-Uzawa finite element method for time dependent conduction-convection problems, Locally stabilized \(P_{1}\)-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations, A two-level stabilized nonconforming finite element method for the stationary Navier-Stokes equations, Second order modified method of characteristics mixed defect-correction finite element method for time dependent Navier-Stokes problems, A finite element variational multiscale method for steady‐state natural convection problem based on two local gauss integrations, An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method, Two-level stabilized nonconforming finite element method for the Stokes equations., A defect-correction method for unsteady conduction-convection problems. I: Spatial discretization, A quadratic equal-order stabilized finite element method for the conduction-convection equations, Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods, A class of nonconforming immersed finite element methods for Stokes interface problems, A conforming-nonconforming mixed immersed finite element method for unsteady Stokes equations with moving interfaces, Modified characteristics mixed defect-correction finite element method for the time-dependent Navier–Stokes problems, A defect-correction method for unsteady conduction-convection problems. II: Time discretization, Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs, A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations, MODIFIED METHOD OF CHARACTERISTICS VARIATIONAL MULTISCALE FINITE ELEMENT METHOD FOR TIME DEPENDENT NAVIER-STOKES PROBLEMS, A new stabilization technique for the nonconforming Crouzeix-Raviart element applied to linear elasticity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new stabilized finite element method for the transient Navier-Stokes equations
• A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition
• A stable finite element for the Stokes equations
• Projection finite element methods for semiconductor device equations
• A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations
• Convergence analyses of Galerkin least-squares methods for symmetric advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations
• A stabilized finite element method based on two local Gauss integrations for the Stokes equations
• Stability of Higher-Order Hood–Taylor Methods
• An Absolutely Stabilized Finite Element Method for the Stokes Problem
• Simple nonconforming quadrilateral Stokes element
• Mixed and Hybrid Finite Element Methods
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• Finite Element Methods and Their Applications