A domain decomposition convergence for elasticity equations

Abdelkrim Chakib (1) , Abdellatif Ellabib (2) , Abdeljalil Nachaoui (3)

1 Laboratoire de mathématiques et applications
2 Laboratoire de Mathématiques Appliquées et Informatique
3 LMJL - Laboratoire de Mathématiques Jean Leray

A non-overlapping domain decomposition method for elasticity equations based on an optimal control formulation is presented. The existence of a solution is proved and the convergence of a subsequence of the approximate solutions to a solution of the continuous problem is shown. The implementation based on lagrangian method is discussed. Finally, numerical results showing the efficiency of our approach and confirming the convergence result are given.

Domaines: Analyse numérique [math.NA]

Abdelkrim Chakib, Abdellatif Ellabib, Abdeljalil Nachaoui. A domain decomposition convergence for elasticity equations. 2008. ⟨hal-00259004⟩