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math.OC2021
An Improved Penalty Algorithm using Model Order Reduction for MIPDECO problems with partial observations
Dominik Garmatter, Margherita Porcelli, Francesco Rinaldi +1
This work addresses optimal control problems governed by a linear time-dependent partial differential equation (PDE) as well as integer constraints on the control. Moreover, partia…
math.OC2019
Optimization of a partial differential equation on a complex network
Martin Stoll, Max Winkler
Differential equations on metric graphs can describe many phenomena in the physical world but also the spread of information on social media. To efficiently compute the solution is…
math.OC2018
On the existence and uniqueness of the solution of a parabolic optimal control problem with uncertain inputs
Peter Benner, Akwum Onwunta, Martin Stoll
In this note, we consider the existence and uniqueness of the solution of a time-dependent optimal control problem constrained by a partial differential equation with uncertain inp…