Blaise Faugeras ; Amel Ben Abda ; Jacques Blum ; Cedric Boulbe
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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
arima:1957 -
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées,
October 12, 2012,
Volume 15, 2012
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https://doi.org/10.46298/arima.1957
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 TokamakArticle
Authors: Blaise Faugeras 1,2; Amel Ben Abda 3; Jacques Blum 1,2; Cedric Boulbe 1,2
Blaise Faugeras;Amel Ben Abda;Jacques Blum;Cedric Boulbe
1 Laboratoire Jean Alexandre Dieudonné
2 Control, Analysis and Simulations for TOkamak Research
3 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.