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

Springer Science and Business Media LLC - Tập 84 - Trang 375-393 - 2000
Jean-David Benamou1, Yann Brenier2
1INRIA, Domaine de Voluceau, B.P.105 F-78153 Le Chesnay cedex, France; e-mail:[email protected] , , FR
2Institut universitaire de France et Université Paris 6, Laboratoire d'analyse numérique, 4 place Jussieu, F-75752 Paris cedex 05, France; e-mail:[email protected] , , FR

Tóm tắt

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.