Abstract

In this paper, estimation of space and time varying thermal diffusivity and heating source in a nonlinear parabolic partial differential equation (PDE) describing heat transport in tokamak plasma is considered. An iterative regularization method based on a Conjugate Gradient Method (CGM) is implemented to deal with model and measurement errors. The estimation strategy is investigated in the infinite dimensional framework. Real data from the Tore Supra (TS) tokamak are provided to evaluate the performance of the proposed strategy.

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