Benamou, Jean-David; Brenier, Yann A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. (English) Zbl 0968.76069 Numer. Math. 84, No. 3, 375-393 (2000). Summary: The \(L^2\) Monge-Kantorovich mass transfer problem is reset in a fluid mechanics framework and numerically solved by an augmented Lagrangian method. Cited in 18 ReviewsCited in 402 Documents MSC: 76M30 Variational methods applied to problems in fluid mechanics 65K10 Numerical optimization and variational techniques 80A20 Heat and mass transfer, heat flow (MSC2010) 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs Keywords:pressureless potential flow; space-time minimization problem; saddle-point problem; Monge-Kantorovich mass transfer problem; fluid mechanics; augmented Lagrangian method PDF BibTeX XML Cite \textit{J.-D. Benamou} and \textit{Y. Brenier}, Numer. Math. 84, No. 3, 375--393 (2000; Zbl 0968.76069) Full Text: DOI OpenURL