Résumé
Optimal transportation of raw material from suppliers to customers is an issue in supply chain that we address here with a continuous model. A least-squares method is designed to solve the prescribed Jacobian problem that arises in optimal transportation in two dimensions of space. An iterative algorithm allows to decouple the variational aspects of the problem from the nonlinearities and from the weak treatment of the boundary conditions. Numerical experiments illustrate the transport of material in several configurations.