TY - GEN A1 - Rösch, Arnd A1 - Wachsmuth, Daniel T1 - Semi-smooth Newton's Method for an optimal control problem with control and mixed control-state constraints N2 - A class of optimal control problems for a semilinear parabolic partial differential equation with control and mixed control-state constraints is considered. For this problem, a projection formula is derived that is equivalent to the necessary optimality conditions. As main result, the superlinear convergence of a semi-smooth Newton method is shown. Moreover we show the numerical treatment and several numerical experiments. KW - Nonlinear programming KW - optimal control KW - semilinear elliptic equation KW - mixed control-state constraint KW - optimality conditions KW - semi-smooth Newton method KW - primal-dual active set strategy Y1 - 2007 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/427 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-4272 ER -