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This paper is devoted to the study of a nonlinear evolution eddy current model of thetype ■_tB(H)+▽×(▽×H)=0 subject to homogeneous Dirichlet boundary conditionsH×v=0 and a given initial datum.Here,the magnetic properties of a soft ferromagnetare linked by a nonlinear material law described by B(H).We apply the backward Eulermethod for the time discretization and we derive the error estimates in suitable functionspaces.The results depend on the nonlinearity of B(H).
This paper is devoted to the study of a nonlinear evolution eddy current model of the type ■ _tB (H) + ▽ × (▽ × H) = 0 subject to homogeneous Dirichlet boundary conditions H × v = 0 and a given initial datum. Here, the magnetic properties of a soft ferromagnetare linked by a nonlinear material law described by B (H) .We apply the backward Eulermethod for the time discretization and we derive the error estimates in suitable functionspaces.The results depend on the nonlinearity of B (H).