Anisotropic finite elements for the Stokes problem: a posteriori error estimator and adaptive mesh
type: Item
instance of: scholarly article
title: Anisotropic finite elements for the Stokes problem: a posteriori error estimator and adaptive mesh
zbMATH Open document ID: 1060.65120
author: H. Maharavo Randrianarivony
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-16T00:00:00Z
review text: The aim of this paper is to investigate an a posteriori error estimator for the Crouzeix-Raviart/\(P_0\) pair on anisotropic grids in the framework of the approximation of the Stokes problem. The analysis is based on hierarchical space splitting whose main ingredients are the strengthened Cauchy-Schwarz inequality and the saturation assumption. Beyond a careful mathematical analysis, the efficiency of the method is illustrated by appropriate numerical tests which include an internal layer, a boundary layer, a re-entrant corner and a crack simulation.
reviewed by: Michel Bernadou
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 2091409
zbMATH Keywords: anisotropic mesh
zbMATH Keywords: Stokes problem
zbMATH Keywords: strengthened Cauchy-Schwarz inequality
zbMATH Keywords: error estimator
zbMATH Keywords: adaptive mesh
zbMATH Keywords: internal layer
zbMATH Keywords: boundary layer
zbMATH Keywords: re-entrant corner
zbMATH Keywords: crack simulation
zbMATH Keywords: numerical examples
zbMATH Keywords: finite element method
MaRDI profile type: Publication
full work available at URL: j.cam.2003.12.025
OpenAlex ID: W2007265172
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DOI: 10.1016/J.CAM.2003.12.025
description: scientific article; zbMATH DE number 2091409