A Mixed Formulation of the Monge-Kantorovich Equations
A Mixed Formulation of the Monge-Kantorovich Equations
We introduce and analyse a mixed formulation of the Monge-Kantorovich equations, which express optimality conditions for the mass transportation problem with cost proportional to distance. Furthermore, we introduce and analyse the finite element approximation of this formulation using the lowest order Raviart-Thomas element. Finally, we present some numerical experiments, where …