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We introduce a modification of the Monge–Kantorovitch problem of exponent 2 which accommodates non balanced initial and final densities. The augmented lagrangian numerical method introduced in [6] is adapted to this “unbalanced” problem. We illustrate the usability of this method on an idealized error estimation problem in meteorology.
We introduce a modification of the Monge–Kantorovitch
problem of exponent 2 which accommodates non balanced initial
and final densities. The augmented Lagrangian numerical method
introduced in [6] is adapted to this “unbalanced”
problem. We illustrate the usability of this method on an
idealized error estimation problem in meteorology.
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