Quadratic finite elements with non-matching grids for the unilateral boundary contact

Abstract : We analyze a numerical model for the Signorini unilateral contact, based on the mortar method, in the quadratic finite element context. The mortar frame enables one to use non-matching grids and brings facilities in the mesh generation of different components of a complex system. The convergence rates we state here are similar to those already obtained for the Signorini problem when discretized on conforming meshes. The matching for the unilateral contact driven by mortars preserves then the proper accuracy of the quadratic finite elements. This approach has already been used and proved to be reliable for the unilateral contact problems even for large deformations. We provide however some numerical examples to support the theoretical predictions.
Type de document :
Article dans une revue
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2013, 47 (4), pp.1185-1205. 〈10.1051/m2an/2012064〉
Liste complète des métadonnées

https://hal.inria.fr/hal-00933248
Contributeur : Frédéric Hecht <>
Soumis le : lundi 20 janvier 2014 - 11:28:57
Dernière modification le : mercredi 5 septembre 2018 - 15:16:08

Lien texte intégral

Identifiants

Collections

Citation

Frédéric Hecht, Sylvain Auliac, Faker Ben Belgacem, Z. Belhachmi. Quadratic finite elements with non-matching grids for the unilateral boundary contact. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2013, 47 (4), pp.1185-1205. 〈10.1051/m2an/2012064〉. 〈hal-00933248〉

Partager

Métriques

Consultations de la notice

279