TY - GEN A1 - Casas, Eduardo A1 - Tröltzsch, Fredi T1 - A general theorem on error estimates with application to a quasilinear elliptic optimal control problem N2 - A theorem on error estimates for smooth nonlinear programming problems in Banach spaces is proved that can be used to derive optimal error estimates for optimal control problems. This theorem is applied to a class of optimal control problems for quasilinear elliptic equations. The state equation is approximated by a finite element scheme, while different discretization methods are used for the control functions. The distance of locally optimal controls to their discrete approximations is estimated. KW - Quasilinear elliptic equations KW - optimal control problems KW - optimality conditions KW - finite element approximation KW - error estimates Y1 - 2012 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/961 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-9616 ER -