S. Angenent-;-s, ;. Haker, and . Tennenbaum, Minimizing Flows for the Monge--Kantorovich Problem, SIAM Journal on Mathematical Analysis, vol.35, issue.1, pp.61-97, 2003.
DOI : 10.1137/S0036141002410927

J. Benamou-;-y and . Brennier, A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, Numerische Mathematik, vol.84, issue.3, pp.375-393, 2000.
DOI : 10.1007/s002110050002

J. D. Benamou, ;. Oberman-;-f, and . Britanny, Numerical solution of the second boundary value problem for the Elliptic Monge-Ampère equation, Rapport de recherche, 2012.

Y. Brenier, Polar factorization and monotone rearrangement of vector-valued functions, Pure and Applied Mathematics, pp.375-417, 1991.
DOI : 10.1002/cpa.3160440402

E. J. Dean and ;. Glowinski, Numerical methods for fully nonlinear elliptic equations of the Monge???Amp??re type, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.13-16, pp.1344-1386, 2006.
DOI : 10.1016/j.cma.2005.05.023

A. Iollo and ;. D. Lombardi, A lagrangian scheme for the solution of the optimal mass transfer problem, Journal of Computational Physics, vol.230, issue.9, pp.3430-3442, 2011.
DOI : 10.1016/j.jcp.2011.01.037
URL : https://hal.archives-ouvertes.fr/hal-00664718

G. Monge, Memoire sur la Theorie des Déblais et des Remblais, Histoire de l'Academie des Sciences de Paris, 1781.

C. Villani, Topics in optimal transportation, 2003.
DOI : 10.1090/gsm/058

C. Villani, Optimal Transport, old and new, 2009.

L. Weynans, A. Magni; Consistency, accuracy and entropy behaviour of remeshed particle methods, ESAIM: Mathematical Modelling and Numerical Analysis, issue.47, pp.57-81, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00701277