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Error estimates for linear-quadratic elliptic control problems

Casas, Eduardo; Tröltzsch, Fredi

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

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.