Global Superconvergence for the Bilinear-Constant Scheme for the Stokes Problem

DOI10.1137/S0036142995286167zbMath0894.76045OpenAlexW2066748245MaRDI QIDQ4377553

Jianhua Pan

Publication date: 10 February 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142995286167

zbMATH Keywords

interpolationpressurevelocitygradientpostprocessing method

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 (18)

Superconvergence of the finite element method for the Stokes eigenvalue problem ⋮ Superconvergent pseudostress-velocity finite element methods for the Oseen equations ⋮ Superconvergence of nonconforming finite element penalty scheme for Stokes problem using \(L^2\) projection method ⋮ Superconvergence analysis for a semilinear parabolic equation with BDF-3 finite element method ⋮ Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations ⋮ Upper spectral bounds and a posteriori error analysis of several mixed finite element approximations for the Stokes eigenvalue problem ⋮ Superconvergence and a posteriori error estimates for the Stokes eigenvalue problems ⋮ Unnamed Item ⋮ 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 ⋮ Superconvergence analysis of the bilinear‐constant scheme for two‐dimensional incompressible convective Brinkman–Forchheimer equations ⋮ Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations ⋮ Stable \(Q_k-Q_{k-1}\) mixed finite elements with discontinuous pressure ⋮ A superconvergent nonconforming mixed finite element method for the Navier-Stokes equations ⋮ A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations ⋮ Convergence and superconvergence of a nonconforming finite element method for the Stokes problem ⋮ Superconvergence of the stable \(P_1\)-\(P_1\) finite element pair for Stokes problem ⋮ Superconvergence analysis for the Navier-Stokes equations

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