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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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