A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. (English) Zbl 0968.76069

Summary: The \(L^2\) Monge-Kantorovich mass transfer problem is reset in a fluid mechanics framework and numerically solved by an augmented Lagrangian method.


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
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