Numerical solution of the Monge–Kantorovich problem by density lift-up continuation
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BOUHARGUANE, Afaf | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| dc.contributor.author | IOLLO, Angelo | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| dc.contributor.author | WEYNANS, Lisl | |
| dc.date.accessioned | 2024-04-04T03:16:32Z | |
| dc.date.available | 2024-04-04T03:16:32Z | |
| dc.date.created | 2015-11-05 | |
| dc.date.issued | 2015-11-05 | |
| dc.identifier.issn | 0764-583X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194221 | |
| dc.description.abstractEn | We present an iterative method to numerically solve the L² Monge-Kantorovich problem. The method is based on a Picard fixed point iteration of the linearized problem. Examples relative to the transport of two-dimensional densities show that the present method can significantly reduce the computational time over existing methods, especially when the Wasserstein distance between the densities is small. | |
| dc.language.iso | en | |
| dc.publisher | EDP Sciences | |
| dc.title.en | Numerical solution of the Monge–Kantorovich problem by density lift-up continuation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1051/m2an/2015024 | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | ESAIM: Mathematical Modelling and Numerical Analysis | |
| bordeaux.page | 1577 | |
| bordeaux.volume | 49 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 6 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01250636 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01250636v1 | |
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