Preprint 750-2002

Error estimates for linear-quadratic elliptic control problems

Author(s) : Eduardo Casas , Fredi Tröltzsch

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 750-2002

MSC 2000

49J20 Optimal control problems involving partial differential equations

Abstract :
The discretization of control functions by piecewise constant and piecewise linear functions is considered for linear-quadratic elliptic optimal control problems. Error estimates are derived for the optimal controls. Special emphasis is laid on the case of boundary control and convex polygonal domains.