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Blaise Faugeras ; Amel Ben Abda ; Jacques Blum ; Cedric Boulbe - Minimization of an energy error functional to solve a Cauchy problem arising in plasma physics: the reconstruction of the magnetic flux in the vacuum surrounding the plasma in a Tokamak
arima:1957 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 12 octobre 2012, Volume 15, 2012 - https://doi.org/10.46298/arima.1957Minimization of an energy error functional to solve a Cauchy problem arising in plasma physics: the reconstruction of the magnetic flux in the vacuum surrounding the plasma in a TokamakArticle
Auteurs : Blaise Faugeras 
1,2,3; Amel Ben Abda 4; Jacques Blum 1,2,3; Cedric Boulbe 1,2,3
- 1 Laboratoire Jean Alexandre Dieudonné
- 2 Control, Analysis and Simulations for TOkamak Research
- 3 Contrôle du plAsma et de ses inSTabilités, Optimisation et Réduction de modèle
- 4 Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
A numerical method for the computation of the magnetic flux in the vacuum surrounding the plasma in a Tokamak is investigated. It is based on the formulation of a Cauchy problem which is solved through the minimization of an energy error functional. Several numerical experiments are conducted which show the efficiency of the method.
Source : HAL:hal-00481257v3
Volume : Volume 15, 2012
Publié le : 12 octobre 2012
Soumis le : 26 mars 2012
Mots-clés : 35J25, 65N21, 65N05, 78A30, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, [PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph], [en] Boundary value problems for elliptic equations, inverse problems, magnetostatics, Tokamak
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