1 citations · 1 across the 12 of their papers we have counts for
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Finding global solutions of some inverse optimal control problems using penalization and semismooth Newton methods
Markus Friedemann, Felix Harder, Gerd Wachsmuth
We present a method to solve a special class of parameter identification problems for an elliptic optimal control problem to global optimality. The bilevel problem is reformulated…
M-stationarity for a class of MPCCs in Lebesgue spaces
Felix Harder, Gerd Wachsmuth
We show that an optimality condition of M-stationarity type holds for minimizers of a class of mathematical programs with complementarity constraints (MPCCs) in Lebesgue spaces. We…
Subdifferentiation of nonconvex sparsity-promoting functionals on Lebesgue spaces
Patrick Mehlitz, Gerd Wachsmuth
Sparsity-promoting terms are incorporated into the objective functions of optimal control problems in order to ensure that optimal controls vanish on large parts of the underlying…
Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-Variational Inequalities
Constantin Christof, Gerd Wachsmuth
This paper is concerned with the sensitivity analysis of a class of parameterized fixed-point problems that arise in the context of obstacle-type quasi-variational inequalities. We…
First-order conditions for the optimal control of the obstacle problem with state constraints
Ira Neitzel, Gerd Wachsmuth
We consider an optimal control problem in which the state is governed by an unilateral obstacle problem (with obstacle from below) and restricted by a pointwise state constraint (f…
Reformulation of the M-stationarity conditions as a system of discontinuous equations and its solution by a semismooth Newton method
Felix Harder, Patrick Mehlitz, Gerd Wachsmuth
We show that the Mordukhovich-stationarity system associated with a mathematical program with complementarity constraints (MPCC) can be equivalently written as a system of disconti…