Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis - ENSTA Paris - École nationale supérieure de techniques avancées Paris Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis

Résumé

We present an a posteriori error estimate for the linear elasticity problem. The estimate is based on an equilibrated reconstruction of the Cauchy stress tensor, which is obtained from mixed finite element solutions of local Neumann problems. We propose two different reconstructions, one using Arnold–Winther mixed finite element spaces providing a symmetric stress tensor and one using Arnold–Falk– Winther mixed finite element spaces with a weak symmetry constraint. The performance of the estimate is illustrated on a numerical test with analytical solution.
Fichier principal
Vignette du fichier
a_post_elast.pdf (136.27 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01433841 , version 1 (13-01-2017)
hal-01433841 , version 2 (16-02-2017)

Identifiants

  • HAL Id : hal-01433841 , version 1

Citer

Rita Riedlbeck, Daniele Di Pietro, Alexandre Ern. Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis. 2017. ⟨hal-01433841v1⟩
568 Consultations
423 Téléchargements

Partager

Gmail Facebook X LinkedIn More