Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Doi
Abstract
A general class of nonlinear infinite dimensional optimization problems
is considered that covers semi-linear elliptic control problems with
distributed control as well as boundary control. Moreover, pointwise
inequality constraints on the control and the state are incorporated. The
general optimization problem is perturbed by a certain class of
perturbations, and we establish convergence of local solutions of the
perturbed problems to a local solution of the unperturbed optimal control
problem. These class of perturbations include finite element discretization
as well as data perturbation such that the theory implies convergence of
finite element approximation and stability w.r.t. noisy data
