Convergence and regularization results for optimal control problems with sparsity functional
نویسندگان
چکیده
Abstract. Optimal control problems with convex but non-smooth cost functional are considered. The non-smoothness arises from a L-norm in the objective functional, which recently attracted much research effort in the context of inverse problems. The problem is regularized to permit the use of semi-smooth Newton method. Error estimates with respect to the regularization parameter are provided. Moreover, finite element approximations are studied. A-priori as well as a-posteriori error estimates are developed and confirmed by numerical experiments.
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تاریخ انتشار 2009