• Aucun résultat trouvé

Numerical solution of the Monge-Kantorovich problem by Picard iterations

N/A
N/A
Protected

Academic year: 2021

Partager "Numerical solution of the Monge-Kantorovich problem by Picard iterations"

Copied!
22
0
0

Texte intégral

Loading

Figure

Figure 1: TC1. Error after 23 iterations and convergence for algorithm 1
Figure 2: TC1. Top picture row: plot of density isolines ρ(t, x) for t = 0, 0.25, 0.5, 0.75, 1 along with the optimal path computed by algorithm 2
Figure 3: TC2: initial distribution, final distribution and convergence. Isolines from 0 to the max spaced of 0.2.
Figure 5: TC3. Initial and final densities and stream curves corresponding to ∇ ξ Ψ o , the optimal mapping.
+5

Références

Documents relatifs

The Monge-Kantorovich problem is revisited by means of a variant of the saddle-point method without appealing to cyclical c -monotonicity and c -conjugates.. One gives new proofs of

We present a general method, based on conjugate duality, for solving a con- vex minimization problem without assuming unnecessary topological restrictions on the constraint set..

As regards the most basic issue, namely (DG) pertaining to the question whether duality makes sense at all, this is analyzed in detail — building on a lot of previous literature —

We first present the level set method, and then we derive from the previous analysis an iterative scheme which converges provided that the initial guess is not too far from

Consider the unsteady axisymmetric mixed convection boundary layer flow over a vertical permeable slender cylinder of radius R placed in a non-Newtonian power law fluid with power

xplanations. Others will simply drop out on the grounds that your class doesn't meet their needs.. There are several ways of dealing with this situation. It makes good pedagogical

A new abstract characterization of the optimal plans is obtained in the case where the cost function takes infinite values.. It leads us to new explicit sufficient and

A new abstract characterization of the optimal plans is obtained in the case where the cost function takes infinite values.. It leads us to new explicit sufficient and necessary