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• W2952966497 abstract "In this paper we present a Semi-Lagrangian scheme for a regularized version of the Hughes model for pedestrian flow. Hughes originally proposed a coupled nonlinear PDE system describing the evolution of a large pedestrian group trying to exit a domain as fast as possible. The original model corresponds to a system of a conservation law for the pedestrian density and an Eikonal equation to determine the weighted distance to the exit. We consider this model in presence of small diffusion and discuss the numerical analysis of the proposed Semi-Lagrangian scheme. Furthermore we illustrate the effect of small diffusion on the exit time with various numerical experiments." @default.
• W2952966497 created "2019-06-27" @default.
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• W2952966497 date "2016-01-27" @default.
• W2952966497 modified "2023-09-23" @default.
• W2952966497 title "A Semi-Lagrangian scheme for a modified version of the Hughes model for pedestrian flow" @default.
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• W2952966497 hasPublicationYear "2016" @default.
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