8 citations · 19 across the 18 of their papers we have counts for
4 papers · 2 filters
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…
Optimal control of elliptic surface PDEs with pointwise bounds on the state
Ahmad Ahmad Ali, Michael Hinze, Heiko Kröner
We consider a linear-quadratic optimization problem with pointwise bounds on the state for which the constraint is given by the Laplace-Beltrami equation (to have uniqueness we add…
Multilevel Monte Carlo analysis for optimal control of elliptic PDEs with random coefficients
Ahmad Ahmad Ali, Elisabeth Ullmann, Michael Hinze
This work is motivated by the need to study the impact of data uncertainties and material imperfections on the solution to optimal control problems constrained by partial different…