Analysis of a mixed finite element for the Stokes problem. II: Construction and error estimates
type: Item
instance of: scholarly article
title: Analysis of a mixed finite element for the Stokes problem. II: Construction and error estimates
zbMATH Open document ID: 0765.65114
DOI: 10.1007/BF01396225
published in: Numerische Mathematik
publication date: 1993-02-08T00:00:00Z
full work available at URL: https://eudml.org/doc/133647
review text: [For part I see ibid. 62, No. 2, 149-160 (1992; reviewed above).] The authors apply the general results obtained in the first part to a mixed finite element discretization of the Stokes problem. Starting from the Hellan-Herrmann-Johnson formulation they construct a stable mixed discretization where the symmetry of the stress tensor is approximately realized by introducing an appropriate Lagrange multiplier. The derivation of optimal error estimates requires non-standard approximation spaces. This poses a certain difficulty which can partly be circumvented by hybridization leading also to the superconvergent approximation of the velocities.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 118305
zbMATH Keywords: superconvergence
zbMATH Keywords: mixed finite element
zbMATH Keywords: Stokes problem
zbMATH Keywords: optimal error estimates
author: M. Fortin
author: Zoubida Mghazli
reviewed by: R. H. W. Hoppe
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 118305