8 citations · 19 across the 18 of their papers we have counts for
5 papers · 2 filters
POD for optimal control of the Cahn-Hilliard system using spatially adapted snapshots
Carmen Gräßle, Michael Hinze, Nicolas Scharmacher
The present work considers the optimal control of a convective Cahn-Hilliard system, where the control enters through the velocity in the transport term. We prove the existence of…
Variational discretization of a control-constrained parabolic bang-bang optimal control problem
Nikolaus von Daniels, Michael Hinze
We consider a control-constrained parabolic optimal control problem without Tikhonov term in the tracking functional. For the numerical treatment, we use variational discretization…
Error analysis for global minima of semilinear optimal control problems
Ahmad Ahmad Ali, Klaus Deckelnick, Michael Hinze
In [1] we consider an optimal control problem subject to a semilinear elliptic PDE together with its variational discretization, where we provide a condition which allows to decide…
A Certified Model Reduction Approach for Robust Parameter Optimization with PDE Constraints
Alessandro Alla, Michael Hinze, Philip Kolvenbach +2
We investigate an optimization problem governed by an elliptic partial differential equation with uncertain parameters. We introduce a robust optimization framework that accounts f…
A phase field approach to shape optimization in Navier--Stokes flow with integral state constraint
Harald Garcke, Michael Hinze, Christian Kahle +1
We consider the shape optimization of an object in Navier--Stokes flow by employing a combined phase field and porous medium approach, along with additional perimeter regularizatio…