Research considered investigates the optimal control problem which is constrained by a hyperbolicudconservation law (HCL). We carried out a comparative study of the solutions of theudoptimal control problem subject to each one of the two di erent types of hyperbolic relaxationudsystems [64, 92]. The objective was to employ the adjoint-based optimization to minimize theudcost functional of a matching type between the optimal solution and the target solution. Numericaludtests were then carried out and promising results obtained. Finally, an extension wasudmade to the adjoint-based optimization approach to apply second-order schemes for the optimaludcontrol problem in which also good numerical results were observed.
展开▼
