Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation
| hal.structure.identifier | Scientific computation and visualization [CALVI] | |
| dc.contributor.author | CROUSEILLES, Nicolas | |
| hal.structure.identifier | Algorithms and high performance computing for grand challenge applications [SCALAPPLIX] | |
| dc.contributor.author | LATU, Guillaume | |
| hal.structure.identifier | Institut de Recherche Mathématique Avancée [IRMA] | |
| dc.contributor.author | SONNENDRÜCKER, Eric | |
| dc.date.accessioned | 2024-04-15T09:45:33Z | |
| dc.date.available | 2024-04-15T09:45:33Z | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 1641-876X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/197928 | |
| dc.description.abstractEn | This work is devoted to the numerical simulation of the Vlasov equation using a phase space grid. In contrast to Particle-In-Cell (PIC) methods, which are known to be noisy, we propose a semi-Lagrangian-type method to discretize the Vlasov equation in the two-dimensional phase space. As this kind of method requires a huge computational effort, one has to carry out the simulations on parallel machines. For this purpose, we present a method using patches decomposing the phase domain, each patch being devoted to a processor. Some Hermite boundary conditions allow for the reconstruction of a good approximation of the global solution. Several numerical results demonstrate the accuracy and the good scalability of the method with up to 64 processors. This work is a part of the CALVI project. | |
| dc.language.iso | en | |
| dc.publisher | University of Zielona Góra | |
| dc.subject | Vlasov-Poisson equation | |
| dc.subject | semi-Lagrangian method | |
| dc.subject | parallelism | |
| dc.title.en | Hermite spline interpolation on patches for parallelly solving the Vlasov-Poisson equation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.2478/v10006-007-0028-x | |
| dc.subject.hal | Informatique [cs]/Autre [cs.OH] | |
| bordeaux.journal | International Journal of Applied Mathematics and Computer Science | |
| bordeaux.page | 335-349 | |
| bordeaux.volume | 17 | |
| bordeaux.hal.laboratories | Laboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00688671 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00688671v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20of%20Applied%20Mathematics%20and%20Computer%20Science&rft.date=2007&rft.volume=17&rft.issue=3&rft.spage=335-349&rft.epage=335-349&rft.eissn=1641-876X&rft.issn=1641-876X&rft.au=CROUSEILLES,%20Nicolas&LATU,%20Guillaume&SONNENDR%C3%9CCKER,%20Eric&rft.genre=article |
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