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
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
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.
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https://hal.inria.fr/inria-00111165
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Submitted on : Friday, November 3, 2006 - 4:28:45 PM
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Michel Mehrenberger, Eric Violard, Olivier Hoenen, Martin Campos Pinto, Eric Sonnendrücker. A Parallel Adaptive Vlasov Solver Based on Hierarchical Finite Element Interpolation. Nuclear Instruments and Methods in Physics Research, Elsevier, 2006, Proceedings of the 8th International Computational Accelerator Physics Conference - ICAP 2004, 558 (1), pp.188-191. ⟨10.1016/j.nima.2005.11.225⟩. ⟨inria-00111165⟩

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