Casas, EduardoTröltzsch, Fredi2021-12-172021-12-172002-09-012197-8085https://depositonce.tu-berlin.de/handle/11303/15457http://dx.doi.org/10.14279/depositonce-14230The 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.en510 Mathematikoptimal controlelliptic equationerror estimatecontrol problemscontrol functionsResearch Paper