Relaxation approximation of optimal control problems and applications to traffic flow models

被引：0
|
作者：
Albi, Giacomo [1 ]
Herty, Michael [2 ]
Pareschi, Lorenzo [3 ]
机构：
[1] Univ Verona, Dept Comp Sci, Str Le Grazie 15,Ca Vignal 2, I-37134 Verona, Italy
[2] Rhein Westfal TH Aachen, Templergraben 55, D-52062 Aachen, Germany
[3] Univ Ferrara, Dept Math & Comp Sci, Via Machiavelli 35, I-44121 Ferrara, Italy
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON FRONTIERS IN INDUSTRIAL AND APPLIED MATHEMATICS (FIAM-2018) | 2018年 / 1975卷
关键词：
SYSTEMS;
D O I：
10.1063/1.5042169
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：7
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