A Nitsche finite element method for dynamic contact : 2. Stability of the schemes and numerical experiments - Université Claude Bernard Lyon 1 Accéder directement au contenu
Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2015

A Nitsche finite element method for dynamic contact : 2. Stability of the schemes and numerical experiments

Résumé

In a previous paper, we adapted Nitsche's method for the approximation of the linear elastodynamic unilateral contact problem. The space semi-discrete problem was analyzed and some schemes (theta-scheme, Newmark and a new hybrid scheme) were proposed and proved to be well-posed under appropriate CFL conditons. In the present paper we look at the stability properties of the above-mentioned schemes and we achieve the corresponding numerical experiments. In particular we prove and illustrate numerically some interesting stability and (almost) energy conservation properties of Nitsche's semi-discretization combined to the new hybrid scheme.
Fichier principal
Vignette du fichier
chouly-hild-renard-cdyn-2.pdf (944.55 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00958710 , version 1 (13-03-2014)

Identifiants

Citer

Franz Chouly, Patrick Hild, Yves Renard. A Nitsche finite element method for dynamic contact : 2. Stability of the schemes and numerical experiments. ESAIM: Mathematical Modelling and Numerical Analysis, 2015, 49 (2), pp.503-528. ⟨10.1051/m2an/2014046⟩. ⟨hal-00958710⟩
532 Consultations
347 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More