A semismooth Newton method for topology optimization

Samuel Amstutz (1)

1 LANLG - Laboratoire d'Analyse non linéaire et Géométrie

This paper deals with elliptic optimal control problems for which the control function is constrained to assume values in $\{0,1\}$. Based on an appropriate formulation of the optimality system, a semismooth Newton method is proposed for the solution. Convergence results are proved, and some numerical tests illustrate the efficiency of the method.

Domaines: Optimisation et contrôle [math.OC]

Samuel Amstutz. A semismooth Newton method for topology optimization. 2009. ⟨hal-00440423⟩