Superconvergence of the stable \(P_1\)-\(P_1\) finite element pair for Stokes problem

DOI10.1007/S10092-014-0134-8zbMath1457.65225OpenAlexW2082875858MaRDI QIDQ260133

Lixin Tang, Tie Zhang

Publication date: 18 March 2016

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-014-0134-8

zbMATH Keywords

superconvergenceStokes problem\(P_1\)-\(P_1\) element paira post-processing techniquesuperclose estimate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) 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) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (6)

Superconvergence of the finite element method for the Stokes eigenvalue problem ⋮ The supercloseness property of the Stokes projection for the transient Navier-Stokes equations and global superconvergence analysis ⋮ Superconvergence of some nonconforming brick elements for the 3D Stokes problem ⋮ A finite volume method for Stokes problems on quadrilateral meshes ⋮ Analysis of two low-order equal-order finite element pairs for Stokes equations over quadrilaterals ⋮ A residual a posteriori error estimate for the Virtual Element Method

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