A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations

DOI10.1016/j.mcm.2011.01.026zbMath1219.76013OpenAlexW1970641951MaRDI QIDQ636485

Jincheng Ren, Wei Gong, Dong-Yang Shi

Publication date: 28 August 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.01.026

zbMATH Keywords

inf-sup conditionoptimal error estimatesnonconforming mixed finite element schemestationary Stokes and Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) 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 (5)

Convergence and asymptotic stability of Galerkin methods for linear parabolic equations with delays ⋮ A composite penalty method of a low order anisotropic nonconforming finite element for the Stokes problem ⋮ Low-order nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics equations ⋮ A New Error Analysis of Nonconforming <span style= ⋮ A nonconforming finite element method for the stationary Smagorinsky model

Cites Work

• Investigations on two kinds of two-level stabilized finite element methods for the stationary Navier-Stokes equations
• Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations
• Finite element methods (Part 1)
• An analysis of a mixed finite element method for the Navier-Stokes equations
• A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations
• The finite volume method based on stabilized finite element for the stationary Navier-Stokes problem
• Simple nonconforming quadrilateral Stokes element
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Nonconforming Finite Elements for the Stokes Problem
• On the Accuracy of Nonconforming Quadrilateral Q₁ Element Approximation for the Navier--Stokes Problem
• Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
• Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
• Equivalent Norms for Sobolev Spaces
• An AIM and one-step Newton method for the Navier-Stokes equations
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