A Parallel Adaptive Vlasov Solver Based on Hierarchical Finite Element Interpolation

Michel Mehrenberger; Eric Violard; Olivier Hoenen; Martin Campos Pinto; Eric Sonnendrücker

A Parallel Adaptive Vlasov Solver Based on Hierarchical Finite Element Interpolation

Michel Mehrenberger ^{1, 2} Eric Violard ^{2, 3} Olivier Hoenen ^{3, 2} Martin Campos Pinto ⁴ Eric Sonnendrücker ^{1, 2}

1 IRMA - Institut de Recherche Mathématique Avancée

2 CALVI - Scientific computation and visualization

IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine

3 LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection

4 LJLL - Laboratoire Jacques-Louis Lions

Abstract : We present a parallel adaptive scheme for the Vlasov equation. Our method is based on a way of reducing dependencies between data, thanks to a hierarchical finite element interpolation approach. A specific data distribution pattern yields an efficient implementation. Numerical results are exhibited for a classical beam simulation in the 1D phase space.

Keywords : Vlasov phase-space grid adaptive hierarchichal finite elements plasma physics beam physics

Document type :

Journal articles

Domain :

Mathematics [math] / Numerical Analysis [math.NA]

Complete list of metadatas

https://hal.inria.fr/inria-00111165
Contributor : Eric Sonnendrücker <>
Submitted on : Friday, November 3, 2006 - 4:28:45 PM
Last modification on : Saturday, March 30, 2019 - 1:26:19 AM
Long-term archiving on : Tuesday, April 6, 2010 - 6:41:42 PM

A Parallel Adaptive Vlasov Solver Based on Hierarchical Finite Element Interpolation

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A Parallel Adaptive Vlasov Solver Based on Hierarchical Finite Element Interpolation

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