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dc.contributor.authorAndreianov, Boris
dc.contributor.authorDonadello, Carlotta
dc.contributor.authorRazafison, Ulrich
dc.contributor.authorRosini, Massimiliano Daniele
dc.description.abstractIn this paper we investigate numerically the model for pedestrian traffic proposed in [B. Andreianov, C. Donadello, M.D. Rosini, Crowd dynamics and conservation laws with nonlocal constraints and capacity drop, Mathematical Models and Methods in Applied Sciences 24 (13) (2014) 2685-2722] . We prove the convergence of a scheme based on a constraint finite volume method and validate it with an explicit solution obtained in the above reference. We then perform ad hoc simulations to qualitatively validate the model under consideration by proving its ability to reproduce typical phenomena at the bottlenecks, such as Faster Is Slower effect and the Braess’ paradox.pl_PL
dc.description.sponsorshipAll the authors are supported by French ANR JCJC grant CoToCoLa and Polonium 2014 (French-Polish cooperation program) No.331460NC. The first author is grateful to IRMAR, Université de Rennes, for the hospitality during the preparation of this paper. The second author is also supported by the Université de Franche-Comté, soutien aux EC 2014. Projekt został sfinansowany ze środków Narodowego Centrum Nauki przyznanych na podstawie decyzji nr: DEC-2011/01/B/ST1/03965.pl_PL
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dc.subjectFaster Is Slowerpl_PL
dc.subjectBraess’ paradoxpl_PL
dc.subjectcapacity droppl_PL
dc.subjectcrowd dynamicspl_PL
dc.subjectnon-local point constraintpl_PL
dc.subjectscalar conservation lawpl_PL
dc.subjectfinite volume schemepl_PL
dc.titleQualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottleneckspl_PL
dc.contributor.organizationLaboratoire de Mathématiques, Université de Franche-Comtépl_PL
dc.contributor.organizationICM UWpl_PL
dc.description.epersonMassimiliano Daniele Rosini

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