Deterministic particle approximation of the Hughes model in one space dimension
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Publication:728180
DOI10.3934/krm.2017009zbMath1357.35216arXiv1602.06153OpenAlexW2963048914MaRDI QIDQ728180
Massimiliano Daniele Rosini, Marco Di Francesco, Simone Fagioli, Giovanni Russo
Publication date: 19 December 2016
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.06153
particle methodeikonal equationcrowd dynamicsfollow-the-leader approximationGodunov type schemeHughes' model for pedestrian flowsRiemann type datasymmetric data
Related Items (12)
Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic ⋮ Optimal control of Hughes' model for pedestrian flow via local attraction ⋮ Particle approximation of a constrained model for traffic flow ⋮ Deterministic particle approximation for nonlocal transport equations with nonlinear mobility ⋮ On existence, stability and many-particle approximation of solutions of 1D Hughes' model with linear costs ⋮ Numerical investigation of agent-controlled pedestrian dynamics using a structure-preserving finite volume scheme ⋮ Microscopic Selection of Solutions to Scalar Conservation Laws with Discontinuous Flux in the Context of Vehicular Traffic ⋮ A Multiscale Particle Method for Mean Field Equations: The General Case ⋮ Solutions to aggregation–diffusion equations with nonlinear mobility constructed via a deterministic particle approximation ⋮ Disease contagion models coupled to crowd motion and mesh-free simulation ⋮ Convergence of the follow-the-leader scheme for scalar conservation laws with space dependent flux ⋮ Particle methods for multi-group pedestrian flow
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