This paper is concerned with the problem of enhancing convection-cooling via active control incompressible velocity field, described by a stationary diffusion–convection model. essentially leads to bilinear optimal problem. A rigorous proof existence an presented and first order optimality conditions are derived for solving using variational inequality. Moreover, second sufficient established c...

In this paper, we consider a general class of discrete-time optimal control problems subject to all-time-step constraints on the state and variables. The derivations gradient formulas for cost constraint functions constrained problem are rather involved. We present simple approach these based reversed automatic differentiation. On basis, numerical algorithm is developed solve problem. then cont...

The aim of this chapter is to give a broad panorama the control properties fractional diffusive models from numerical analysis and simulation perspective. We do by surveying several research results we obtained in last years, focusing particular on computation controls, though not forgetting recall other relevant contributions which can be currently found literature prolific field. Our referenc...