A time discretization scheme for a non-linear degenerate eddy current model for ferromagnetic materials
Marián Slodička · IMA Journal of Numerical Analysis · 2005
This paper is devoted to the study of a non-linear degenerate transient eddy current model of the type [graphic: see PDF] for some 0 < α < 1 subject to homogeneous Dirichlet boundary condition H × ν = 0. Here, the magnetic properties of a soft ferromagnet are linked by a power material law. The well-posedness of the problem is proved and a non-linear time-discrete numerical scheme for the approximation in suitable function spaces is designed. Convergence of the approximation to a weak solution is proved and error estimates are derived.