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

TL;DR

This paper presents a numerical method that minimizes an energy error functional to accurately reconstruct the magnetic flux in the vacuum region of a Tokamak, aiding plasma physics research.

Contribution

It introduces a novel minimization-based approach for solving a Cauchy problem related to magnetic flux reconstruction in Tokamaks.

Findings

The method is efficient based on numerical experiments.

The approach effectively solves the Cauchy problem for magnetic flux.

Numerical results demonstrate the method's accuracy and robustness.

Abstract

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.