Extrapolation of the Hood-Taylor elements for the Stokes problem

DOI10.1007/s10444-004-1089-0zbMath1080.65112OpenAlexW2019461312MaRDI QIDQ1767049

Jia-fu Lin, Qun Lin

Publication date: 4 March 2005

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-004-1089-0

zbMATH Keywords

convergenceextrapolationStokes problemmixed finite elementerror expansionHood-Taylor approximation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (4)

Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem ⋮ Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method ⋮ Asymptotic expansions and extrapolations of eigenvalues for the Stokes problem by mixed finite element methods ⋮ Superconvergence analysis of FEMs for the Stokes-Darcy system

Cites Work

• Using rectangularqpelements in the SDFEM for a convection-diffusion problem with a boundary layer
• Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method
• Error estimates for finite element method solution of the Stokes problem in the primitive variables
• Error estimates for a mixed finite element approximation of the Stokes equations
• Superconvergence and Extrapolation for Mixed Finite Element Methods on Rectangular Domains
• Finite Element Methods for Navier-Stokes Equations
• Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem
• Uniform superconvergence of a Galerkin finite element method on Shishkin-type meshes
• Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
• The Splitting Extrapolation Method
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