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

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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.

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Authors and Affiliations

  1. INRIA, Domaine de Voluceau, B.P.105 F-78153 Le Chesnay cedex, France; e-mail:jean-david.benamou@inria.fr , , , , , , FR

    Jean-David Benamou

  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

    Yann Brenier

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  1. Jean-David Benamou
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  2. Yann Brenier
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Received August 30, 1998 / Published online September 24, 1999

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Benamou, JD., Brenier, Y. A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Numer. Math. 84, 375–393 (2000). https://doi.org/10.1007/s002110050002

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  • DOI: https://doi.org/10.1007/s002110050002

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