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20112021
most citedOptimal Control of the Laplace-Beltrami operator on compact surfaces - concept and numerical treatment

1 citations · 2 across the 5 of their papers we have counts for

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14 papers · 1 filter

math.OC2021

A Novel -Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization

Peter Marvin Müller, Niklas Kühl, Martin Siebenborn +3

We introduce a novel method for the implementation of shape optimziation in fluid dynamics applications, where we propose to use the shape derivative to determine deformation field…

math.OC2020

Time adaptivity in model predictive control

Alessandro Alla, Carmen Gräßle, Michael Hinze

The core of the Model Predictive Control (MPC) method in every step of the algorithm consists in solving a time-dependent optimization problem on the prediction horizon of the MPC…

math.OC2020

Variational discretization approach applied to an optimal control problem with bounded measure controls

Evelyn Herberg, Michael Hinze

We consider a parabolic optimal control problem with an initial measure control. The cost functional consists of a tracking term corresponding to the observation of the state at fi…

math.OC20191 cited

Simulation and Control of a Nonsmooth Cahn-Hilliard Navier-Stokes System

Carmen Gräßle, Michael Hintermüller, Michael Hinze +1

We are concerned with the simulation and control of a two phase flow model governed by a coupled Cahn-Hilliard Navier-Stokes system involving a nonsmooth energy potential. We estab…

math.OC2018

Reduced basis methods- an application to variational discretization of parametrized elliptic optimal control problems

Ahmad Ahmad Ali, Michael Hinze

We consider a class of parameter-dependent optimal control problems of elliptic PDEs with constraints of general type on the control variable. Applying the concept of variational d…

math.OC2018

Maximal discrete sparsity in parabolic optimal control with measures

Evelyn Herberg, Michael Hinze, Henrik Schumacher

We consider variational discretization of a parabolic optimal control problem governed by space-time measure controls. For the state discretization we use a Petrov-Galerkin method…