Abstract : We extend the classical $L^2$ Monge-Kantorovich Problem in the multiphasic context. An augmented lagrangian numerical method used in the monophasic case is adapted to this problem, its efficiency being checked with various methods.
https://hal.inria.fr/inria-00072619 Contributor : Rapport De Recherche InriaConnect in order to contact the contributor Submitted on : Wednesday, May 24, 2006 - 10:24:45 AM Last modification on : Wednesday, May 11, 2022 - 12:06:04 PM Long-term archiving on: : Sunday, April 4, 2010 - 11:15:36 PM
Jean-David Benamou, yann Brenier, Kevin Guittet. Numerical Resolution of a Multiphasic Optimal Mass Transport Problem. [Research Report] RR-4022, INRIA. 2000. ⟨inria-00072619⟩