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

Creusé, Emmanuel; Nicaise, Serge; Verhille, Emmanuel

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1007/s10092-011-0042-0

Title :

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

Author(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]

Journal title :

Calcolo

Pages :

307-335

Publisher :

Springer Verlag

Publication date :

2011

ISSN :

0008-0624

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

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