| Issue |
ESAIM: M2AN
Volume 37, Number 5, September-October 2003
|
|
|---|---|---|
| Page(s) | 851 - 868 | |
| DOI | https://doi.org/10.1051/m2an:2003058 | |
| Published online | 15 November 2003 | |
Numerical resolution of an “unbalanced” mass transport problem
INRIA-Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France. jean-david.benamou@inria.fr.
Received:
1
April
2003
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 [6] 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
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