@inproceedings{efca8893b46a4b25914063cd71b736b9,
title = "Relaxation approximation of optimal control problems and applications to traffic flow models",
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.",
author = "Giacomo Albi and Michael Herty and Lorenzo Pareschi",
note = "Publisher Copyright: {\textcopyright} 2018 Author(s).; International Conference on Frontiers in Industrial and Applied Mathematics 2018, FIAM 2018 ; Conference date: 26-04-2018 Through 27-04-2018",
year = "2018",
month = jun,
day = "13",
doi = "10.1063/1.5042169",
language = "English",
series = "AIP Conference Proceedings",
publisher = "AIP Publishing",
editor = "Rajesh Sharma",
booktitle = "Proceedings of the International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2018)",
address = "United States",
}