Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system

Creusé, Emmanuel; Nicaise, Serge; Verhille, Emmanuel

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1007/s10092-011-0042-0

Titre :

Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system

Auteur(s) :

Creusé, Emmanuel [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Nicaise, Serge [Auteur]
Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015 [LAMAV]
Verhille, Emmanuel [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Calcolo

Pagination :

307-335

Éditeur :

Springer Verlag

Date de publication :

2011

ISSN :

0008-0624

Discipline(s) HAL :

Mathématiques [math]/Analyse numérique [math.NA]

Résumé en anglais : [en]

We consider a conforming finite element approximation of the Reissner-Mindlin system. We propose a new robust a posteriori error estimator based on H(div ) conforming finite elements and equilibrated fluxes. It is shown ...
Lire la suite >We consider a conforming finite element approximation of the Reissner-Mindlin system. We propose a new robust a posteriori error estimator based on H(div ) conforming finite elements and equilibrated fluxes. It is shown that this estimator gives rise to an upper bound where the constant is one up to higher order terms. Lower bounds can also be established with constants depending on the shape regularity of the mesh. The reliability and efficiency of the proposed estimator are confirmed by some numerical tests.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :