TY - GEN A1 - Deng, Yu A1 - Mehlitz, Patrick A1 - Prüfert, Uwe T1 - Coupled versus decoupled penalization of control complementarity constraints T2 - ESAIM: Control, Optimisation and Calculus of Variations (COCV) N2 - This paper deals with the numerical solution of optimal control problems with control complementarity constraints. For that purpose, we suggest the use of several penalty methods which differ with respect to the handling of the complementarity constraint which is either penalized as a whole with the aid of NCP-functions or decoupled in such a way that non-negativity constraints as well as the equilibrium condition are penalized individually. We first present general global and local convergence results which cover several different penalty schemes before two decoupled methods which are based on a classical ℓ1- and ℓ2-penalty term, respectively, are investigated in more detail. Afterwards, the numerical implementation of these penalty methods is discussed. Based on some examples, where the optimal boundary control of a parabolic partial differential equation is considered, some quantitative properties of the resulting algorithms are compared. KW - Complementarity constraints KW - optimal control KW - parabolic PDE KW - penalty method Y1 - 2021 U6 - https://doi.org/10.1051/cocv/2021022 SN - 1292-8119 SN - 1262-3377 VL - 27 SP - 1 EP - 31 ER -