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Comptes Rendus Mathématique
Volume 353, n° 7
pages 659-664 (juillet 2015)
Doi : 10.1016/j.crma.2015.04.017
Received : 23 January 2015 ;  accepted : 20 April 2015
Error analysis for a mixed DG method for folded Naghdi's shell
Analyse d'erreur pour une méthode de Galerkin discontinue mixte pour une coque de Naghdi pliée
 

Serge Nicaise a , Ismail Merabet b
a LAMAV, Université de Valenciennes, France 
b LAMA, Université Kasdi Merbah Ouargla, Algeria 

Abstract

In this Note, we perform some error analyses of a mixed discontinuous formulation for Naghdi's equations for thin linearly elastic shells. Using a combination between the a priori and the a posteriori techniques, we derive a quasi-optimal a priori error estimate and an efficient and reliable a posteriori error estimate. Thereby the analysis does not require any additional regularity other than of the weak solution.

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Résumé

Dans cette Note, nous fournissons des estimations d'erreur d'une méthode d'éléments finis discontinus mixte proposée pour résoudre les équations du modèle de Naghdi de coques linéairement élastiques. En utilisant une combinaison entre les techniques de l'analyse a priori et celles de l'analyse a posteriori, nous donnons une estimation d'erreur a priori quasi-optimale et une estimation d'erreur a posteriori fiable et efficace. L'analyse utilisée n'exige aucune regularité additionnelle autre que celle de la solution du problème faible.

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