Jd. Benamou et Y. Brenier, A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem, NUMER MATH, 84(3), 2000, pp. 375-393
The L-2 Monge-Kantorovich mass transfer problem [31] is reset in a fluid me
chanics framework and numerically solved by an augmented Lagrangian method.