Díaz Díaz, Jesús IldefonsoPadial Molina, Juan FranciscoRakotoson, Jean Michel Theresien2023-06-202023-06-2019980362-546X10.1016/S0362-546X(97)00563-4https://hdl.handle.net/20.500.14352/57380The model studied concerns the case of a stellarator machine and the magnetic confinement is modeled by using averaging methods and suitable vacuum coordinates. This is shown to lead to a two-dimensional Grad-Shafranov type problem for the averaged poloidal flux function. Various problems are considered and it is pointed out that corresponding problems for models based on tokamak machines are essentially similar.spajournal articlehttp://www.sciencedirect.com/science/article/pii/S0362546X97005634http://www.sciencedirect.com/restricted access517.51free-boundary problemrelative rearrangementplasma physicsequilibriuminverse nonlinear elliptic problemGalerkin methodsfree boundary problemAnálisis numérico1206 Análisis Numérico