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SUMMARY:ome Particle methods for the Vlasov-Poisson system with a strong e
 xternal magnetic field
DTSTART:20260715T120000Z
DTEND:20260715T153000Z
DTSTAMP:20260707T001900Z
UID:indico-event-16894@indico.math.cnrs.fr
DESCRIPTION:Speakers: Kim Han Trinh\n\nhttps://bbb.univ-rennes.fr/rooms/hj
 p-ggf-c4p-uja/join The presentation will be given in English. Composition 
 of the committee: - CAMPOS PINTO Martin\, Reviewer\, Max-Planck Institute 
 of Plasma Physics - CRESTETTO Anaïs\, Examiner\, University of Nantes - C
 ROUSEILLES Nicolas\, Examiner\, INRIA Rennes - MEHRENBERGER Michel\, Exami
 ner\, University of Aix-Marseille - NAVORET Laurent\, Reviewer\, Universit
 y of Strasbourg - RODRIGUES Luis Miguel\, PhD Supervisor\, University of R
 ennes - FILBET Francis\, Co-supervisor\, University of Toulouse Abstract: 
 This thesis is devoted to the mathematical study of the numerical analysis
  and simulation of the Vlasov-Poisson systems with a strong external magne
 tic field. First\, we propose and study a modified Crank-Nicolson time dis
 cretization to approximate the particle's motions\, which serves as a push
 er of the Particle-In-Cell (PIC) method for the Vlasov-Poisson system on c
 omplex geometries. In this regime\, the explicit schemes are constrained b
 y stability conditions linked to the small Larmor radius and high plasma f
 requency. To avoid this limitation\, our approach is based on the asymptot
 ic preserving framework\,  providing consistent schemes with the guiding-
 center systems as the magnitude of the magnetic field becomes large. Secon
 d\, we focus on the convergence analysis of the modified Crank-Nicolson sc
 heme. This scheme removes classical strong restrictive stability constrain
 ts on discretization steps while capturing the large-scale dynamics\, even
  when the discretization is too coarse to capture the fastest scales. Our 
 error bounds are explicit regarding the discretization and stiffness param
 eters and match the numerical tests.\n\nhttps://indico.math.cnrs.fr/event/
 16894/
LOCATION:Bâtiment 2A\, amphi A (René Dabard).  (Université de Rennes)
URL:https://indico.math.cnrs.fr/event/16894/
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