TY - GEN A1 - Wachsmuth, Daniel A1 - Wachsmuth, Gerd T1 - Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints T2 - Control and Cybernetics N2 - In this article we study the regularization of optimization problems by Tikhonov regularization. The optimization problems are subject to pointwise inequality constraints in L²(Ω). We derive a-priori regularization error estimates if the regularization parameter as well as the noise level tend to zero. We rely on an assumption that is a combination of a source condition and of a structural assumption on the active sets. Moreover, we introduce a strategy to choose the regularization parameter in dependence of the noise level. We prove convergence of this parameter choice rule with optimal order. KW - source condition KW - discrepancy principle KW - non-smooth optimization KW - convex constraints KW - sparsity KW - regularization error estimates Y1 - 2019 UR - https://opus4.kobv.de/opus4-UBICO/frontdoor/index/index/docId/24083 SN - 0324-8569 VL - 40 IS - 4 SP - 1125 EP - 1158 ER -