Lagrangian Discretization of Crowd Motion and Linear Diffusion

DOI10.1137/19M1274201zbMath1456.65137arXiv1905.08507MaRDI QIDQ5115705

Quentin Mérigot, Hugo Leclerc, Federico Stra, Filippo Santambrogio

Publication date: 18 August 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08507

zbMATH Keywords

gradient flowpower diagramparticle methodoptimal transport

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Traffic problems in operations research (90B20) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75) Optimal transportation (49Q22) Transport equations (35Q49) Traffic and pedestrian flow models (76A30)

Related Items (10)

Applications of optimal transportation in the natural sciences. Abstracts from the workshop held February 21--27, 2021 (online meeting) ⋮ Partial optimal transport for a constant-volume Lagrangian mesh with free boundaries ⋮ Convergence of a Lagrangian Discretization for Barotropic Fluids and Porous Media Flow ⋮ Lagrangian Discretization of Variational Mean Field Games ⋮ Utility/privacy trade-off as regularized optimal transport ⋮ A variational finite volume scheme for Wasserstein gradient flows ⋮ Lagrangian schemes for Wasserstein gradient flows ⋮ A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games ⋮ Semi-discrete optimal transport methods for the semi-geostrophic equations ⋮ The back-and-forth method for Wasserstein gradient flows

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