Convergence and regularization results for optimal control problems with sparsity functional
Gerd Wachsmuth, Daniel Wachsmuth (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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Optimization problems with convex but non-smooth cost functional subject to an elliptic partial differential equation are considered. The non-smoothness arises from a -norm in the objective functional. The problem is regularized to permit the use of the semi-smooth Newton method. Error estimates with respect to the regularization parameter are provided. Moreover, finite element approximations are studied. as well as error estimates are developed and confirmed by numerical...