Padial Molina, Juan FranciscoGalan del Sastre, PedroDíaz Díaz, Jesús Ildefonso2023-06-202023-06-202012978-1-4673-2359-810.1109/HPCSim.2012.6266984https://hdl.handle.net/20.500.14352/45555The 2012 International Conference on High Performance Computing & Simulation(HPCS 2012)July 2 – 6, 2012 Madrid, SpainWe consider a mathematical model related to the stationary regime of a plasma of fusion nuclear, magnetically confined in a Stellarator device. Using the geometric properties of the fusion device, a suitable system of coordinates and averaging methods, the mathematical problem may be reduced to a two dimensional free boundary problem of nonlocal type, where the corresponding differential equation is of the Grad?Shafranov type. The current balance within each flux magnetic gives us the possibility to define the third covariant magnetic field component with respect to the averaged poloidal flux function. We present here some numerical experiences and we give some numerical approach for the averaged poloidal flux and for the third covariant magnetic field component.engbook parthttp://ieeexplore.ieee.org/restricted access519.8Mathematical modelGrad–Safranov equaitonequilibriumrearrangementfix pointStellaratorInvestigación operativa (Matemáticas)1207 Investigación Operativa