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

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.

Mots clés

Boundary value problems for elliptic equations inverse problems magnetostatics Tokamak

Domaines

Analyse numérique [math.NA] Equations aux dérivées partielles [math.AP] Optimisation et contrôle [math.OC] Analyse numérique [cs.NA] Modélisation et simulation Physique des plasmas [physics.plasm-ph]

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BF2012-arimarevised-hal.pdf (386.81 Ko)

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Blaise Faugeras : Connectez-vous pour contacter le contributeur

https://hal.science/hal-00481257

Soumis le : dimanche 17 novembre 2013-10:04:01

Dernière modification le : jeudi 5 décembre 2024-08:48:02

Archivage à long terme le : mardi 18 février 2014-02:20:16

Dates et versions

hal-00481257 , version 3 (17-11-2013)

hal-00481257 , version 2 (07-04-2016)

Identifiants

HAL Id : hal-00481257 , version 3
ARXIV : 1005.1588
DOI : 10.46298/arima.1957

Citer

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. Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2012, Volume 15, 2012, pp.37-60. ⟨10.46298/arima.1957⟩. ⟨hal-00481257v3⟩

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