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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

Blaise Faugeras 1 Amel Ben Abda 2 Jacques Blum 1 Cédric Boulbe 1 
1 JAD - Laboratoire Jean Alexandre Dieudonné
2 LR-LAMSIN-ENIT - Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
Abstract : 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.
Keywords : Elliptic PDE inverse problem energy error plasma Tokamak
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https://hal.inria.fr/hal-00481257
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Blaise Faugeras, Amel Ben Abda, Jacques Blum, Cédric 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. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2012, 15, pp.37-60. ⟨hal-00481257v2⟩

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