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

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...

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Veröffentlicht in:arXiv.org 2013-11
Hauptverfasser: Faugeras, Blaise, Amel Ben Abda, Blum, Jacques, Boulbe, Cedric
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Energy conservation
Magnetic flux
Magnetism
Numerical methods
Optimization
Plasma physics
Plasmas (physics)
Tokamak devices
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Zusammenfassung: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.
ISSN:2331-8422