4 citations · 10 across the 8 of their papers we have counts for
6 papers · 1 filter
Sufficient conditions for unique global solutions in optimal control of semilinear equations with nonlinearity
A. Ahmad Ali, K. Deckelnick, M. Hinze
We consider a semilinear elliptic optimal control problem possibly subject to control and/or state constraints. Generalizing previous work we provide a condition which guaran…
Optimal Control of time-discrete two-phase flow driven by a diffuse-interface model
Harald Garcke, Michael Hinze, Christian Kahle
We propose a general control framework for two-phase flows with variable densities in the diffuse interface formulation, where the distribution of the fluid components is described…
A-posteriori snapshot location for POD in optimal control of linear parabolic equations
Alessandro Alla, Carmen Graessle, Michael Hinze
In this paper we study the approximation of an optimal control problem for linear para\-bolic PDEs with model order reduction based on Proper Orthogonal Decomposition (POD-MOR). PO…
A finite element method for Dirichlet boundary control problems governed by parabolic PDEs
Wei Gong, Michael Hinze, Zhaojie Zhou
Finite element approximations of Dirichlet boundary control problems governed by parabolic PDEs on convex polygonal domains are studied in this paper. The existence of a unique sol…
Numerical approximation of phase field based shape and topology optimization for fluids
Harald Garcke, Claudia Hecht, Michael Hinze +1
We consider the problem of finding optimal shapes of fluid domains. The fluid obeys the Navier--Stokes equations. Inside a holdall container we use a phase field approach using dif…
Crank-Nicolson time stepping and variational discretization of control-constrained parabolic optimal control problems
Nikolaus von Daniels, Michael Hinze, Morten Vierling
We consider a control constrained parabolic optimal control problem and use variational discretization for its time semi-discretization. The state equation is treated with a Petrov…