Numerical resolution of an "unbalanced" mass transport problem

被引：55

作者：

Benamou, JD ^{[1
]}

机构：

[1] INRIA Rocquencourt, F-78153 Le Chesnay, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2003年 / 37卷 / 05期

关键词：

Monge-Kantorovitch problem; Wasserstein distance; augmented Lagrangian method;

D O I：

10.1051/m2an:2003058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：851 / 868

页数：18

共 41 条

[1] A COMPETITIVE (DUAL) SIMPLEX-METHOD FOR THE ASSIGNMENT PROBLEM [J].