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| HAL : hal-00360796, version 2 |
| DOI : 10.3934/nhm.2009.4.605 |
| Fiche détaillée |  Récupérer au format |
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| Networks and Heterogeneous Media 4, 3 (2009) 605-623 |
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| Versions disponibles : | v1 (13-02-2009) | v2 (19-05-2009) |
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| Numerical Approximation of Continuous Traffic Congestion Equilibria |
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| Fethallah Benmansour 1Guillaume Carlier 1 |
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| (07/2009) |
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| Starting from a continuous congested traffic framework recently introduced in [Carlier, Jimenez, Santambrogio, 2008], we present a consistent numerical scheme to compute equilibrium metrics. We show that equilibrium metric is the solution of a variational problem involving geodesic distances. Our discretization scheme is based on the Fast Marching Method. Convergence is proved via a $\Gamma$-convergence result and numerical results are given. |
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| 1 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles |
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| Traffic congestion – Wardrop equilibria – Eikonal equation – subgradient descent – Fast Marching Method |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00360796, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00360796 | |
| oai:hal.archives-ouvertes.fr:hal-00360796 | |
| Contributeur : Gabriel Peyré | |
| Soumis le : Mardi 19 Mai 2009, 08:56:49 | |
| Dernière modification le : Lundi 6 Juillet 2009, 23:58:38 | |
