FINITE ELEMENT APPROXIMATION OF AN OPTIMAL DESIGN PROBLEM

Abdelkrim Chakib (1) , Abdeljalil Nachaoui (2) , Mourad Nachaoui (2)

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

This paper investigates shape optimization of complex thermo-fluid phenomena that occur in welding processes. The linear finite elements dicretization is accomplished. The existence of the discrete optimal solution is established. Some computational results for our approach are presented and discussed.

Mots clés: Shape Optimization; Free Boundary; Non Coercive Operator; Welding; Finite Element; Genetic Algorithms.; Genetic Algorithms

Domaines: Analyse numérique [math.NA]; Optimisation et contrôle [math.OC]; Equations aux dérivées partielles [math.AP]

Abdelkrim Chakib, Abdeljalil Nachaoui, Mourad Nachaoui. FINITE ELEMENT APPROXIMATION OF AN OPTIMAL DESIGN PROBLEM. Journal of Applied and Computational Mathematics, 2012, 11 (1), pp.19-26. ⟨hal-00678439⟩