Extrapolation of the Hood-Taylor elements for the Stokes problem
type: Item
instance of: scholarly article
title: Extrapolation of the Hood-Taylor elements for the Stokes problem
zbMATH Open document ID: 1080.65112
author: Jiafu Lin
author: Qun Lin
published in: Advances in Computational Mathematics
publication date: 2005-03-04T00:00:00Z
review text: An extrapolation formula is established which enables to gain one order in the convergence rate of the Hood-Taylor approximation of the Stokes equation on rectangular elements by combining the approximation on a mesh of size \(h\) and a mesh of size \(2h\). An adequate auxiliary problem is introduced in order to get an additional term in the error expansion.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 2140535
zbMATH Keywords: extrapolation
zbMATH Keywords: error expansion
zbMATH Keywords: mixed finite element
zbMATH Keywords: Stokes problem
zbMATH Keywords: convergence
zbMATH Keywords: Hood-Taylor approximation
MaRDI profile type: Publication
full work available at URL: s10444-004-1089-0
OpenAlex ID: W2019461312
cites work: Error estimates for finite element method solution of the Stokes problem in the primitive variables
cites work: Q4162607
cites work: Q3126804
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: The Splitting Extrapolation Method
cites work: Uniform superconvergence of a Galerkin finite element method on Shishkin-type meshes
cites work: Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method
cites work: Q3140250
cites work: Q4841585
cites work: Q4517810
cites work: Analysis of the streamline-diffusion finite element method on a piecewise uniform mesh for a convection-diffusion problem with exponential layers
cites work: Using rectangularqpelements in the SDFEM for a convection-diffusion problem with a boundary layer
cites work: Error estimates for a mixed finite element approximation of the Stokes equations
cites work: Superconvergence and Extrapolation for Mixed Finite Element Methods on Rectangular Domains
cites work: Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
cites work: Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem
DOI: 10.1007/S10444-004-1089-0
description: scientific article; zbMATH DE number 2140535