Error estimate of the \(P_1\) nonconforming finite element method for the penalized unsteady Navier-Stokes equations

DOI10.1007/s00211-009-0277-8zbMath1425.65131OpenAlexW1966868833MaRDI QIDQ967580

Xiliang Lu, Ping Lin

Publication date: 30 April 2010

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-009-0277-8

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

Iterative penalty methods for the steady Navier-Stokes equations ⋮ Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations ⋮ Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations ⋮ Optimal error estimate of the penalty method for the 2D/3D time-dependent MHD equations ⋮ Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data ⋮ Analysis of a stabilized finite element method for Stokes equations of velocity boundary condition and of pressure boundary condition ⋮ Lowest order virtual element approximations for transient Stokes problem on polygonal meshes ⋮ Error estimates for two-level penalty finite volume method for the stationary Navier-Stokes equations ⋮ Iterative methods in penalty finite element discretizations for the Steady Navier–Stokes equations

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