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A numerical method for the computation of the magnetic flux in the vacuumsurrounding the plasma in a Tokamak is investigated. It is based on theformulation of a Cauchy problem which is solved through the minimization of anenergy error functional. Several numerical experiments are conducted which showthe efficiency of the method.

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