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The Wave-Front Tracking Algorithm for Hughes' Model of Pedestrian Motion

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Publication:2847737
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DOI10.1137/120898863zbMath1273.76288OpenAlexW2073611918MaRDI QIDQ2847737

Matthias Mimault, Paola Goatin

Publication date: 11 September 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120898863


zbMATH Keywords

conservation lawsfinite volume schemeseikonal equationwave-front trackingmacroscopic pedestrian flow models


Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65)


Related Items (5)

Scalar conservation law with discontinuity arising in pedestrian modeling ⋮ On existence, stability and many-particle approximation of solutions of 1D Hughes' model with linear costs ⋮ Mean field games with nonlinear mobilities in pedestrian dynamics ⋮ Existence results for Hughes' model for pedestrian flows ⋮ Deterministic particle approximation of the Hughes model in one space dimension




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