Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem

DOI10.1090/S0025-5718-2010-02404-4zbMath1410.76168MaRDI QIDQ3168720

Hagen Eichel, Hehu Xie, Tobiska, Lutz

Publication date: 19 April 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) 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 (15)

Superconvergent pseudostress-velocity finite element methods for the Oseen equations ⋮ Developing stabilizer free weak Galerkin finite element method for second-order wave equation ⋮ An error analysis of the finite element method overcoming corner singularities for the stationary Stokes problem ⋮ The supercloseness property of the Stokes projection for the transient Navier-Stokes equations and global superconvergence analysis ⋮ A Penalty Finite Element Method for the Stationary Closed-Loop Geothermal Model ⋮ Superconvergence of some nonconforming brick elements for the 3D Stokes problem ⋮ A Tangential and Penalty-Free Finite Element Method for the Surface Stokes Problem ⋮ Convergence of several iterations for double‐diffusive natural convection model ⋮ Stable and locally mass- and momentum-conservative control-volume finite-element schemes for the Stokes problem ⋮ The MINI mixed finite element for the Stokes problem: an experimental investigation ⋮ A novel arbitrary Lagrangian-Eulerian finite element method for a mixed parabolic problem in a moving domain ⋮ Superconvergence of FEM for distributed order time fractional variable coefficient diffusion equations ⋮ Superclose and superconvergence of finite element discretizations for the Stokes equations with damping ⋮ Analysis of two low-order equal-order finite element pairs for Stokes equations over quadrilaterals ⋮ Comparison results for the Stokes equations

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