| dc.contributor.author | Peyré, Gabriel | |
| dc.contributor.author | Carlier, Guillaume | |
| dc.contributor.author | Benmansour, Fethallah | |
| dc.contributor.author | Santambrogio, Filippo | |
| dc.date.accessioned | 2009-07-09T09:40:18Z | |
| dc.date.available | 2009-07-09T09:40:18Z | |
| dc.date.issued | 2009 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/1021 | |
| dc.language.iso | en | en |
| dc.subject | Traffic congestion ; Wardrop equilibria ; Eikonal equation ; subgradient descent ; Fast Marching Method | en |
| dc.subject.ddc | 519 | en |
| dc.title | Numerical Approximation of Continuous Traffic Congestion Equilibria | en |
| dc.type | Article accepté pour publication ou publié | en_US |
| dc.description.abstracten | 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. | en |
| dc.relation.isversionofjnlname | Networks and Heterogeneous Media | |
| dc.relation.isversionofjnlvol | 4 | en |
| dc.relation.isversionofjnlissue | 3 | en |
| dc.relation.isversionofjnldate | 2009 | |
| dc.relation.isversionofjnlpages | 605-623 | en |
| dc.relation.isversionofdoi | http://dx.doi.org/10.3934/nhm.2009.4.605 | en |
| dc.identifier.urlsite | http://hal.archives-ouvertes.fr/hal-00360796/en/ | en |
| dc.description.sponsorshipprivate | oui | en |
| dc.relation.isversionofjnlpublisher | American institute of americal science | en |
| dc.subject.ddclabel | Probabilités et mathématiques appliquées | en |
