Чисельний аналіз методом R-функцій двовимірних задач плазмостатики з циліндричною геометрією та гвинтовим магнітним полем

Abstract

The paper considers the two-dimensional problem of plasma statics with a cylindrical geometry and a helical magnetic field. Problems of this class arise when calculating the characteristics of plasma configurations in magnetic traps. The mathematical model of the plasma statics problem under consideration is a nonlinear boundary value problem for the Grad-Shafranov equation. For the numerical study of the problem, it is proposed to use the R-function’s method.