A least-squares method for optimal transport using the Monge-Ampère equation

C.R. Prins, J.H.M. Thije Boonkkamp, ten, W.L. IJzerman, T.W. Tukker

Research output: Contribution to journalArticleAcademicpeer-review

21 Citations (Scopus)
1 Downloads (Pure)

Abstract

In this article we introduce a novel numerical method to solve the problem of optimal transport and the related elliptic Monge--Ampère equation. It is one of the few numerical algorithms capable of solving this problem efficiently with the proper transport boundary condition. The computation time scales well with the grid size and has the additional advantage that the target domain may be nonconvex. We present the method and several numerical experiments.
Original languageEnglish
Pages (from-to)B937-B961
JournalSIAM Journal on Scientific Computing
Volume37
Issue number6
DOIs
Publication statusPublished - 2015

Fingerprint Dive into the research topics of 'A least-squares method for optimal transport using the Monge-Ampère equation'. Together they form a unique fingerprint.

  • Cite this