Inria
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Raweb
2013 | Exploratory Action
Section: New Results
Variational problems under divergence constraint - Alg2
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Benamou, Bonne, Carlier - Dynamic problems: we have extended the Augmented Lagrangian method used for the CFD formulation of the Optimal Mass Transportation to Mean Field Games that is for the optimal control of the continuity equation. A freefem Code has been implemented.
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Benamou, Carlier - Static problems with a divergence constraint. We have also extended the Augmented Lagrangian method to static problem where a space divergence constraint appears. This includes the delicate case of the original Monge Optimal Mass Transportation cost (cost=distance) and also Wardrop equilibria in congested transport and related degenerate elliptic equations, like the -Laplacian operator. A freefem Code has been implemented.