Minimal Geodesics Along Volume-Preserving Maps, Through Semidiscrete Optimal Transport

DOI10.1137/15M1017235zbMath1354.65136arXiv1505.03306WikidataQ126193493 ScholiaQ126193493MaRDI QIDQ5506641

Jean-Marie Mirebeau, Quentin Mérigot

Publication date: 12 December 2016

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

Full work available at URL: https://arxiv.org/abs/1505.03306

zbMATH Keywords

convergenceEuler equationquantizationsemidiscretizationnumerical experimentoptimal transportcalculus of variation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (12)

Optimal transportation, modelling and numerical simulation ⋮ Convergence of a Lagrangian Discretization for Barotropic Fluids and Porous Media Flow ⋮ Lagrangian Discretization of Variational Mean Field Games ⋮ A new implementation of the geometric method for solving the Eady slice equations ⋮ Utility/privacy trade-off as regularized optimal transport ⋮ A Lagrangian scheme à la Brenier for the incompressible Euler equations ⋮ Optimal transport: discretization and algorithms ⋮ Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm ⋮ Turbulence of generalised flows in two dimensions ⋮ Generalized compressible flows and solutions of the \(H(\text{div})\) geodesic problem ⋮ Discretization of Euler's equations using optimal transport: Cauchy and boundary value problems ⋮ Second-order models for optimal transport and cubic splines on the Wasserstein Space

Uses Software

• CGAL
• LBFGS-B
• 2D triangulations

Cites Work

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