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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

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.
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Submitted on : Thursday, April 7, 2016 - 5:11:20 PM
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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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