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.

Source: HAL:hal-00481257v3

Volume: Volume 15, 2012

Published on: October 12, 2012

Submitted on: March 26, 2012

Keywords: Boundary value problems for elliptic equations,inverse problems,magnetostatics,Tokamak,35J25, 65N21, 65N05, 78A30,[MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA],[MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP],[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC],[INFO.INFO-NA] Computer Science [cs]/Numerical Analysis [cs.NA],[INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation,[PHYS.PHYS.PHYS-PLASM-PH] Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph]

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