A lagrangian scheme for the solution of the optimal mass transfer problem
| dc.contributor.author | LOMBARDI, Damiano | |
| hal.structure.identifier | Institut National de Recherche en Informatique et en Automatique [Inria] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation, contrôle et calcul [MC2] | |
| dc.contributor.author | IOLLO, Angelo | |
| dc.date.issued | 2011-02-04 | |
| dc.identifier.issn | 0021-9991 | |
| dc.description.abstractEn | A lagrangian method to numerically solve the L 2 optimal mass transfer problem is presented. The initial and final density distributions are approximated by finite mass particles having a gaussian kernel. Mass conservation and the Hamilton-Jacobi equation for the potential are identically satisfied by constant mass transport along straight lines. The scheme is described in the context of existing methods to solve the problem and a set of numerical examples including applications to medical imagery are presented. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Monge-Kantorovich problem | |
| dc.subject.en | Optimal transport | |
| dc.subject.en | Lagrangian methods | |
| dc.title.en | A lagrangian scheme for the solution of the optimal mass transfer problem | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jcp.2011.01.037 | |
| dc.subject.hal | Mathématiques [math] | |
| bordeaux.journal | Journal of Computational Physics | |
| bordeaux.page | 3430 - 3442 | |
| bordeaux.volume | 230 | |
| bordeaux.issue | 9 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-04483431 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04483431v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computational%20Physics&rft.date=2011-02-04&rft.volume=230&rft.issue=9&rft.spage=3430%20-%203442&rft.epage=3430%20-%203442&rft.eissn=0021-9991&rft.issn=0021-9991&rft.au=LOMBARDI,%20Damiano&IOLLO,%20Angelo&rft.genre=article |
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