Dual formulations of a hybrid FEM/MOM method for nonlinear analysis [of EM fields]

Hybrid FEM/MOM methods use the equivalence theorem to transform the actual problem into equivalent problems in the exterior and interior regions. In this paper, dual edge element differential formulations in terms of two-component vector potentials are used to solve the interior problem. In the exterior problem, the method of moments (MOM) has been used. A nonlinear matrix equation for the problem solution is obtained by forcing the continuity of the actual tangential electric and magnetic fields on the boundary of the nonlinear solid bodies. Two-dimensional numerical results are used to show the characteristics of the method.