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

Amel Ben Abda (LAMSIN); Blaise Faugeras (JAD); Cedric Boulbe (JAD); Jacques Blum (JAD)

arxiv: 1005.1588 · v3 · pith:6QKHT5HFnew · submitted 2010-05-10 · 🧮 math.NA · cs.NA· math.AP· math.OC· physics.plasm-ph

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 (JAD) , Amel Ben Abda (LAMSIN) , Jacques Blum (JAD) , Cedric Boulbe (JAD) This is my paper

classification 🧮 math.NA cs.NAmath.APmath.OCphysics.plasm-ph

keywords plasmacauchyenergyerrorfluxfunctionalmagneticmethod

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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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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

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