Error estimation and model adaptation for a stochastic-deterministic coupling method based on the Arlequin method

Cédric Zaccardi 1 Ludovic Chamoin 2 Régis Cottereau 1 Hachmi Ben Dhia 1
1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux
2 LMT - Laboratoire de Mécanique et Technologie
Abstract : The paper deals with the issue of accuracy for multiscale methods applied to solve stochastic problems. It more precisely focuses on the control of a coupling, performed using the Arlequin framework, between a deterministic continuum model and a stochastic continuum one. Using residual-type estimates and adjoint-based techniques, a strategy for goal-oriented error estimation is presented for this coupling and contributions of various error sources (modeling, space discretization, and Monte Carlo approximation) are assessed. Furthermore, an adaptive strategy is proposed to enhance the quality of outputs of interest obtained by the coupled stochastic-deterministic model. Performance of the proposed approach is illustrated on 1D and 2D numerical experiments.
Keywords : Multiscale methods Stochastic Mechanics Arlequin method Goal-oriented error estimation a posteriori error estimation
Type de document :
Article dans une revue
International Journal for Numerical Methods in Engineering, Wiley, 2013, 96 (2), pp.87-109. 〈10.1002/nme.4540〉
Liste complète des métadonnées

Littérature citée [41 références]  Voir  Masquer  Télécharger
https://hal-ecp.archives-ouvertes.fr/hal-00869049
Contributeur : Régis Cottereau <>
Soumis le : mercredi 2 octobre 2013 - 14:18:24
Dernière modification le : jeudi 5 avril 2018 - 12:30:50
Document(s) archivé(s) le : vendredi 3 janvier 2014 - 08:30:17

Fichier

IJNME_zaccardi_2013.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

EC-PARIS | ENS-CACHAN | LMT | UPMC | MSSMAT

Citation

Cédric Zaccardi, Ludovic Chamoin, Régis Cottereau, Hachmi Ben Dhia. Error estimation and model adaptation for a stochastic-deterministic coupling method based on the Arlequin method. International Journal for Numerical Methods in Engineering, Wiley, 2013, 96 (2), pp.87-109. 〈10.1002/nme.4540〉. 〈hal-00869049〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

400

Téléchargements de fichiers

416

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD