Boundary value problems with integral boundary conditions for the modeling of magnetic fields in cylindrical film shells

Abstract

We develop a mathematical model of the boundary value problem describing magnetic field shielding by a cylindrical thin-walled shell (screen) made of materials whose permeability depends nonlinearly on the magnetic field intensity. Integral boundary conditions on the shell surface are used. A numerical method is suggested for solving a nonlinear boundary value problem of magnetostatics with integral boundary conditions. The shielding efficiency coefficient characterizing the external magnetic field attenuation when passing into the interior of the cylindrical screen is studied numerically.