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math.OC2024
A numerical solution approach for non-smooth optimal control problems based on the Pontryagin maximum principle
Daniel Wachsmuth
We consider nonsmooth optimal control problems subject to a linear elliptic partial differential equation with homogeneous Dirichlet boundary conditions. It is well-known that loca…
math.OC2024
Control in the coefficients of an elliptic differential operator: topological derivatives and Pontryagin maximum principle
Daniel Wachsmuth
We consider optimal control problems, where the control appears in the main part of the operator. We derive the Pontryagin maximum principle as a necessary optimality condition. Th…