Finite-element Discretization of Static Hamilton-Jacobi Equations based on a Local Variational Principle, Computing and Visualization in Science, vol.40, issue.9, p.5769, 2006. ,
DOI : 10.1007/s00791-006-0016-y
Über ein Paradoxon aus der Verkehrsplanung, Unternehmensforschung, vol.12, pp.258-268, 1968. ,
On a paradox of trac planning, Transportation Science, vol.39, issue.4, p.446450, 2005. ,
High-order semi-discrete central-upwind schemes for multidimensional Hamilton-Jacobi equations, J. Comput. Phys, vol.189, issue.1, p.6387, 2003. ,
Parameters of Pedestrians, Pedestrian Trac and Walking Facilities, Schriftenreihe des IVT. Institute for Transport Planning and Systems (IVT), 2006. ,
Pedestrian ows and nonclassical shocks, p.15531567, 2005. ,
A Multi-Agent Cellular Automata System for Visualising Simulated Pedestrian Activity, Theoretical and Practical Issues on Cellular Automata -Proceedings on the 4th International Conference on Cellular Automata for research and Industry, p.2936, 2000. ,
DOI : 10.1007/978-1-4471-0709-5_4
On Godunov-type methods near low densities, Journal of Computational Physics, vol.92, issue.2, p.273295, 1991. ,
DOI : 10.1016/0021-9991(91)90211-3
Architectural design for the survival optimization of panicking eeing victims ,
Advances in Articial Life, 7th European Conference Proceedings, volume 2801 of Lecture Notes in Computer Science, p.97106, 2003. ,
Semi-Lagrangian Schemes for Hamilton???Jacobi Equations, Discrete Representation Formulae and Godunov Methods, Journal of Computational Physics, vol.175, issue.2, p.559575, 2002. ,
DOI : 10.1006/jcph.2001.6954
Room evacuation in the presence of an obstacle. Physica A: Statistical Mechanics and its Applications, p.39021352145, 2011. ,
Navigator: an ai-based model of human way-nding in an urban environment. Spatial Choices and Processes, p.169200 ,
On Upstream Dierencing and Godunov-Type Schemes for Hyperbolic Conservation Laws, Siam Review, p.25, 1983. ,
Self-Organized Pedestrian Crowd Dynamics: Experiments, Simulations, and Design Solutions, Transportation Science, vol.39, issue.1, pp.1-24, 2005. ,
DOI : 10.1287/trsc.1040.0108
Simulation of pedestrian crowds in normal and evacuation situations, Pedestrian and Evacuation Dynamics, p.2158, 2002. ,
Simulating Dynamical Features of Escape Panic, Nature, vol.407, p.487490, 2000. ,
Crowd Disasters and Simulation of Panic Situations, The Science of Disasters, p.330350, 2002. ,
DOI : 10.1007/978-3-642-56257-0_11
Freezing by Heating in a Driven Mesoscopic System, Physical Review Letters, vol.84, issue.6 ,
DOI : 10.1103/PhysRevLett.84.1240
Pedestrian, crowd and evacuation dynamics ,
Dynamics of crowd disasters: An empirical study, Physical Review E, vol.75, issue.4, p.46109, 2007. ,
DOI : 10.1103/PhysRevE.75.046109
Social force model for pedestrian dynamics, Physical Review E, vol.51, issue.5, p.42824286, 1995. ,
DOI : 10.1103/PhysRevE.51.4282
Pedestrian Behavior at Bottlenecks, Transportation Science, vol.39, issue.2, p.147159, 2005. ,
DOI : 10.1287/trsc.1040.0102
A discontinuous Galerkin nite element method for Hamilton-Jacobi equations, SIAM J. Sci. Comput, vol.21, issue.2, p.666690, 1999. ,
Revisiting hughes' dynamic continuum model for pedestrian ow and the development of an ecient solution algorithm, Transportation Research Part B: Methodological, vol.43, issue.1, p.127141, 2009. ,
A continuum theory for the flow of pedestrians, Transportation Research Part B: Methodological, vol.36, issue.6, pp.507-535, 2002. ,
DOI : 10.1016/S0191-2615(01)00015-7
The ow of human crowds, Annual review of uid mechanics, p.169182, 2003. ,
Numerical simulation of pedestrian ow past a circular obstruction, Acta Mech. Sin, vol.27, issue.2, p.215221, 2011. ,
A higher-order macroscopic model for pedestrian ows. Physica A: Statistical Mechanics and its Applications, pp.3894623-4635, 2010. ,
The myth of panic, Fire Journal, p.5762, 1982. ,
Experimental study of pedestrian ow through a bottleneck, Journal of Statistical Mechanics: Theory and Experiment, issue.10, p.10014, 2006. ,
Interactive computation and visualization towards a virtual wind tunnel, 47th 3AF Symposium on Applied Aerodynamics, 2012. ,
Realistic following behaviors for crowd simulation, Computer Graphics Forum, vol.21, issue.5, p.31489498, 2012. ,
DOI : 10.1111/j.1467-8659.2012.03028.x
A macroscopic crowd motion model of gradient ow type, 2009. ,
Jamming transition in pedestrian counter ow. Physica A: Statistical and Theoretical Physics, pp.3-4487498, 1999. ,
Level set methods and dynamic implicit surfaces, Applied Mathematical Sciences, vol.153, 2003. ,
DOI : 10.1115/1.1760520
URL : http://dx.doi.org/10.1016/s0898-1221(03)90179-9
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, p.1249, 1988. ,
DOI : 10.1016/0021-9991(88)90002-2
Models of Freeway Trac and Control. Simulation Councils, Incorporated, 1971. ,
Pedestrian ows in bounded domains with obstacles, Contin. Mech. Thermodyn, vol.21, issue.2, p.85107, 2009. ,
Planning for Foot Trac Flow in Buildings, 1978. ,
Perspective: A Method for Uniform Reporting of Grid Refinement Studies, Journal of Fluids Engineering, vol.116, issue.3, p.405413, 1994. ,
DOI : 10.1115/1.2910291
Level set methods and fast marching methods, volume 3 of Cambridge Monographs on Applied and Computational Mathematics Evolving interfaces in computational geometry, uid mechanics , computer vision, and materials science, 1999. ,
Enhanced empirical data for the fundamental diagram and the ow through bottlenecks, In Pedestrian and Evacuation Dynamics, pp.145-156, 2008. ,
New insights into pedestrian ow through bottlenecks, Transportation Science, vol.43, issue.3, p.395406, 2009. ,
DOI : 10.1287/trsc.1090.0263
URL : http://arxiv.org/abs/physics/0702004
Basics of modelling the pedestrian ow, Physica A, vol.368, p.232238, 2006. ,
Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction, 2009. ,
Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations, SIAM Journal on Numerical Analysis, vol.41, issue.2, p.673694, 2003. ,
DOI : 10.1137/S0036142901396533
Linear and nonlinear waves. Pure and applied mathematics, 1974. ,
Dynamic continuum pedestrian flow model with memory effect, Physical Review E, vol.79, issue.6, p.66113, 2009. ,
DOI : 10.1103/PhysRevE.79.066113
Silo Clogging Reduction by the Presence of an Obstacle, Physical Review Letters, vol.107, issue.27, p.278001, 2004. ,
DOI : 10.1103/PhysRevLett.107.278001