In this paper we are interested in the numerical solution of optimal control problems for non-linear hyperbolic conservation laws. To this aim, we consider relaxation approximations to the conservation laws coupled with the optimal control problem. Following a semi--Lagrangian interpretation of the hyperbolic relaxation system, and its adjoint counterpart, we solve efficiently the time discretization introducing a multi--step scheme in the class of BDF methods. Computational results illustrating the theoretical findings with applications to traffic flow models are presented.
Relaxation approximation of optimal control problems and applications to traffic flow models
Giacomo Albi
;
2018-01-01
Abstract
In this paper we are interested in the numerical solution of optimal control problems for non-linear hyperbolic conservation laws. To this aim, we consider relaxation approximations to the conservation laws coupled with the optimal control problem. Following a semi--Lagrangian interpretation of the hyperbolic relaxation system, and its adjoint counterpart, we solve efficiently the time discretization introducing a multi--step scheme in the class of BDF methods. Computational results illustrating the theoretical findings with applications to traffic flow models are presented.File in questo prodotto:
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