Analysis of some mixed elements for the Stokes problem
type: Item
instance of: scholarly article
title: Analysis of some mixed elements for the Stokes problem
zbMATH Open document ID: 0896.76035
DOI: 10.1016/S0377-0427(97)00120-9
author: XiaoLiang Cheng
author: Weimin Han
author: Hongci Huang
published in: Journal of Computational and Applied Mathematics
publication date: 1998-10-11T00:00:00Z
review text: We discuss some mixed finite element methods related to the reduced integration penalty method for solving the Stokes problem. We prove optimal order error estimates for bilinear-constant and biquadratic-bilinear velocity-pressure finite element solutions. In the degenerate case when the penalty parameter is zero, our results reduce to known results.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 1088841
zbMATH Keywords: reduced integration penalty method
zbMATH Keywords: optimal order error estimates
zbMATH Keywords: bilinear-constant and biquadratic-bilinear velocity-pressure finite element solutions
zbMATH Keywords: degenerate case
MaRDI profile type: Publication
cites work: The finite element method with Lagrangian multipliers
cites work: Perturbation of mixed variational problems. Application to mixed finite element methods
cites work: Error estimates for finite element method solution of the Stokes problem in the primitive variables
cites work: On the stability of bilinear-constant velocity-pressure finite elements
cites work: Q4105995
cites work: Mixed and Hybrid Finite Element Methods
cites work: Penalty approximation of Stokes flow
cites work: Q4729515
cites work: Q3890207
cites work: An analysis of a mixed finite element method for the Navier-Stokes equations
cites work: Q3763755
cites work: Q3990259
cites work: Analysis of Some Mixed Finite Element Methods Related to Reduced Integration
cites work: Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
cites work: Penalty-finite element methods for the analysis of Stokesian flows
cites work: Analysis of Some Mixed Finite Element Methods for Plane Elasticity Equations
cites work: Error Analysis of some Finite Element Methods for the Stokes Problem
cites work: Q3689590
full work available at URL: s0377-0427(97)00120-9
OpenAlex ID: W1964360473
description: scientific article; zbMATH DE number 1088841