55 citations · 183 across the 9 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…
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…
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…
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…
Global minima for semilinear optimal control problems
Ahmad Ahmad Ali, Klaus Deckelnick, Michael Hinze
We consider an optimal control problem subject to a semilinear elliptic PDE together with its variational discretization. We provide a condition which allows to decide whether a so…