Numerische Mathematik

, Volume 84, Issue 3, pp 375–393

A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

  • Jean-David Benamou
  • Yann Brenier
Original article

DOI: 10.1007/s002110050002

Cite this article as:
Benamou, J. & Brenier, Y. Numer. Math. (2000) 84: 375. doi:10.1007/s002110050002

Summary. The \(L^2\) Monge-Kantorovich mass transfer problem [31] is reset in a fluid mechanics framework and numerically solved by an augmented Lagrangian method.

Mathematics Subject Classification (1991):65M60

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Jean-David Benamou
    • 1
  • Yann Brenier
    • 2
  1. 1.INRIA, Domaine de Voluceau, B.P.105 F-78153 Le Chesnay cedex, France; e-mail:jean-david.benamou@inria.fr FR
  2. 2.Institut universitaire de France et Université Paris 6, Laboratoire d'analyse numérique, 4 place Jussieu, F-75752 Paris cedex 05, France; e-mail:brenier@ann.jussieu.fr FR