A Finite Element Procedure for Dynamic Micromagnetic Computations

This paper presents a 3-D dynamic micromagnetic numerical scheme, based on the decoupling of the effective field evaluation from the treatment of the Landau-Lifshitz equation. The weak formulation of the effective field expression is spatially discretized through a nodal finite element approach. The micromagnetic equation is locally computed, performing the time integration with a finite difference scheme, based on midpoint rule and able to preserve the magnetization nonconvex constraint. Different techniques are compared for the evaluation of the magnetostatic field, such as finite element/boundary element method, standard finite element approach with first-order asymptotic boundary conditions, and Green integral formulation.