In this paper we present a fully discrete A-ø finite element method to solve Maxwell’s
equations with a nonlinear degenerate boundary condition, which represents a
generalization of the classical Silver-Müller condition for a
non-perfect conductor. The relationship between the normal components of the
electric field E and the magnetic field H obeys a power-law nonlinearity of the type H x n = n x (|E x n|α-1E x n) with α ∈ (0,1]. We prove the existence and
uniqueness of the solutions of the proposed A-ø scheme and derive the error estimates. Finally, we
present some numerical experiments to verify the theoretical result.
