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Journal Articles Networks and Heterogeneous Media Year : 2009

Numerical Approximation of Continuous Traffic Congestion Equilibria

Abstract

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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Dates and versions

hal-00360796 , version 1 (12-02-2009)
hal-00360796 , version 2 (19-05-2009)

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Fethallah Benmansour, Guillaume Carlier, Gabriel Peyré, Filippo Santambrogio. Numerical Approximation of Continuous Traffic Congestion Equilibria. Networks and Heterogeneous Media, 2009, 4 (3), pp.605-623. ⟨10.3934/nhm.2009.4.605⟩. ⟨hal-00360796v2⟩
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