An iterative procedure for solving FEM-BEM equations

Abstract

A new very efficient iterative FEM-BEM hybrid procedure for solving stationary and steady state electromagnetic fields is proposed. The value of the magnetic vector potential is obtained from the integral equation on the boundary of the exterior domain for a given value of the normal derivative. Solving the interior problem using FEM with Dirichlet boundary conditions given by BEM proves to be very useful. Specific sparse matrix procedures may be used. It can be proven that a large enough value of the magnetic permeability assures the method convergence. Applying the fixed point polarization method to the nonlinear field problems allows the use of an arbitrary value of the magnetic permeability. Several illustrative examples are also presented.

Keywords

• FEM-BEM
• hybrid iterative method
• sparse matrix procedures
• ferromagnetic shielding efficiency