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- W2553182947 abstract "Abstract In this paper we present a numerical study of some variations of the Hughes model for pedestrian flow under different types of congestion effects. The general model consists of a coupled non-linear PDE system involving an eikonal equation and a first order conservation law, and it intends to approximate the flow of a large pedestrian group aiming to reach a target as fast as possible, while taking into account the congestion of the crowd. We propose an efficient semi-Lagrangian scheme (SL) to approximate the solution of the PDE system and we investigate the macroscopic effects of different penalization functions modelling the congestion phenomena." @default.
- W2553182947 created "2016-11-30" @default.
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- W2553182947 date "2017-07-01" @default.
- W2553182947 modified "2023-09-27" @default.
- W2553182947 title "The Hughes model for pedestrian dynamics and congestion modelling * *EC acknowledges financial support from INDAM GnCS, project “Metodi numerici semi-impliciti e semi-Lagrangiani per sistemi iper-bolici di leggi di bilancio”. AF acknowledge financial support from the Austrian Academy of Sciences OAW via the New Frontiers Group NST-001. FJS benefited from the support of the “FMJH Program Gaspard Monge in optimization and operation research”, and from the support to this program from EDF." @default.
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- W2553182947 doi "https://doi.org/10.1016/j.ifacol.2017.08.333" @default.
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