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.

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
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