Three-dimensional magnetostatic problem

The paper is devoted to an approximation of the solution of Maxwellʹs equations in three-dimensional space. We present two methods which couple a nite element method inside the magnetic materials with a boundary integral method which uses Poincar e{Steklovʹs operator to describe the exterior domain. A computer code has been implemented for each method and a number of numerical experiments have been performed to validate each proposed methodology. Namely, we present numerical results concerning a non-linear magnetostatic problem in R3