Simple \(C^ 0\) approximations for the computation of incompressible flows
type: Item
instance of: scholarly article
title: Simple \(C^ 0\) approximations for the computation of incompressible flows
zbMATH Open document ID: 0628.76040
DOI: 10.1016/0045-7825(88)90116-8
author: Roger Pierre
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: We study various regularization procedures accomodating the P1-P1 and Q1- Q1 discretization of the 2D Stokes problem. The results are, in the P1-P1 case, compared with those obtained with a simple stable P1 element, namely the mini element. It is shown that the use of the latter is in fact equivalent to a regularization method. Finally, the practical importance of consistency is discussed and a new formulation is proposed to enforce that condition even in the P1-P1 case.
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 4022873
zbMATH Keywords: variational formulation
zbMATH Keywords: regularization
zbMATH Keywords: inf-sup condition
zbMATH Keywords: Mini element
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90116-8
OpenAlex ID: W2128049218
cites work: A stable finite element for the Stokes equations
cites work: Q3345931
cites work: Experiments with several elements for viscous incompressible flows
cites work: Q1091210
cites work: Regularization procedures of mixed finite element approximations of the stokes problem
cites work: The cause and cure (!) of the spurious pressures generated by certain fem solutions of the incompressible Navier-Stokes equations: Part 2
description: scientific article; zbMATH DE number 4022873