@Article{NMTMA-8-97,
author = {Eldad Haber and Raya Horesh},
title = {A Multilevel Method for the Solution of Time Dependent Optimal Transport},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2015},
volume = {8},
number = {1},
pages = {97--111},
abstract = {<p style="text-align: justify;">In this paper we present a new computationally efficient numerical scheme
for the minimizing flow for the computation of the optimal $L_2$&nbsp;mass transport mapping using the fluid approach. We review the method and discuss its numerical
properties. We then derive a new scaleable, efficient discretization and a solution
technique for the problem and show that the problem is equivalent to a mixed form
formulation of a nonlinear fluid flow in porous media. We demonstrate the effectiveness of our approach using a number of numerical experiments.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2015.w02si},
url = {http://global-sci.org/intro/article_detail/nmtma/12401.html}
}