A time discretization scheme for a non-linear degenerate eddy current model for ferromagnetic materials

^** Email: marian.slodicka{at}ugent.be This paper is devoted to the study of a non-linear degeneratetransient eddy current model of the type [graphic: see PDF] for some 0 < < 1 subject to homogeneous Dirichlet boundarycondition H x = 0. Here, the magnetic properties of a softferromagnet are linked by a power material law. The well-posednessof the problem is proved and a non-linear time-discrete numericalscheme for the approximation in suitable function spaces isdesigned. Convergence of the approximation to a weak solutionis proved and error estimates are derived.