Resumen de A priori error estimates for elliptic optimal control problems with a bilinear state equation

Axel Kröner, Boris Vexler

• In this paper a priori error analysis for the finite element discretization of an optimal control problem governed by an elliptic state equation is considered. The control variable enters the state equation as a coefficient and is subject to pointwise inequality constraints. We derive a priori error estimates for the discretization error in the control variable and confirm our theoretical results by numerical examples.