Approximation results and subspace correction algorithms for implicit variational inequalities

Lori Badea 1 Marius Cocou 2, *
* Auteur correspondant
2 M&S - Matériaux et Structures
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : This paper deals with the mathematical analysis and the subspace approximation of a system of variational inequalities representing a unified approach to several quasistatic contact problems in elasticity. Using an implicit time discretization scheme and some estimates, convergence properties of the incremental solutions and existence results are presented for a class of abstract implicit evolution variational inequalities involving a nonlinear operator. To solve the corresponding semi-discrete and the fully discrete problems, some general subspace correction algorithms are proposed, for which global convergence is analyzed and error estimates are established.
Type de document :
Article dans une revue
Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2013, 6 (6), pp.1507-1524. 〈10.3934/dcdss.2013.6.1507〉
Liste complète des métadonnées

Littérature citée [17 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00949611
Contributeur : Marius Cocou <>
Soumis le : mercredi 19 février 2014 - 22:52:54
Dernière modification le : lundi 27 juin 2016 - 12:00:59
Document(s) archivé(s) le : lundi 19 mai 2014 - 14:25:20

Fichier

Badea-Cocou_DCDS-S_HAL.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Lori Badea, Marius Cocou. Approximation results and subspace correction algorithms for implicit variational inequalities. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2013, 6 (6), pp.1507-1524. 〈10.3934/dcdss.2013.6.1507〉. 〈hal-00949611〉

Partager

Métriques

Consultations de
la notice

235

Téléchargements du document

68