Finite element discretization of a thermoelastic beam
نویسندگان
چکیده
We consider the steady case of a nonlinear model for a thermoelastic beam that can enter in contact with obstacles. We first prove the well-posedness of this problem. Next, we propose a finite element discretization and perform the a priori and a posteriori analysis of the discrete problem. Some numerical experiments confirm the interest of this approach. Résumé: Nous considérons le cas stationnaire d’un modèle non linéaire pour une poutre thermoélastique qui peut entrer en contact avec des obstacles. Nous prouvons que ce problème est bien posé. Puis nous écrivons une discrétisation par éléments finis et effectuons l’analys a priori et a posteriori du problème discret. Quelques expériences numériques confirment l’intérêt de cette approche. 1 Laboratoire Jacques-Louis Lions, C.N.R.S. & Université Pierre et Marie Curie, B.C. 187, 4 place Jussieu, 75252 Paris Cedex 05, France. 3 LANA, Departamento de Matemática, Universidade Federal de Santa Maria, 97105-900, Santa Maria, RS Brasil. e-mail addresses: [email protected], [email protected], [email protected] ha l-0 08 27 53 1, v er si on 1 29 M ay 2 01 3
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