Volume 37, Number 5, September-October 2003
|Page(s)||851 - 868|
|Published online||15 November 2003|
Numerical resolution of an “unbalanced” mass transport problem
INRIA-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. firstname.lastname@example.org.
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  is adapted to this “unbalanced” problem. We illustrate the usability of this method on an idealized error estimation problem in meteorology.
Mathematics Subject Classification: 35J60 / 65K10 / 78A05 / 90B99
Key words: Monge–Kantorovitch problem / Wasserstein distance / augmented Lagrangian method.
© EDP Sciences, SMAI, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.