26 citations · 164 across the 38 of their papers we have counts for
4 papers · 1 filter
Global minima for optimal control of the obstacle problem
Ahmad Ahmad Ali, Klaus Deckelnick, Michael Hinze
An optimal control problem subject to an elliptic obstacle problem is studied. We obtain a numerical approximation of this problem by discretising the PDE obtained via a Moreau--Yo…
POD model order reduction with space-adapted snapshots for incompressible flows
Carmen Gräßle, Michael Hinze, Jens Lang +1
We consider model order reduction based on proper orthogonal decomposition (POD) for unsteady incompressible Navier-Stokes problems, assuming that the snapshots are given by spatia…
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…
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…