%0 Journal Article
%T A finite element approximation of a current-induced magnetization dynamics model
%J Journal of Mathematical Modeling
%I University of Guilan
%Z 2345-394X
%A Mohammed, Moumni
%A Mouhcine, Tilioua
%D 2022
%\ 01/01/2022
%V 10
%N 1
%P 53-69
%! A finite element approximation of a current-induced magnetization dynamics model
%K Ferromagnetism
%K magnetization dynamics
%K spin polarized current
%K finite elements
%R 10.22124/jmm.2021.19486.1673
%X Micromagnetics is a continuum theory describing magnetization patterns inside ferromagnetic media. The dynamics of a ferromagnetic material are governed by the Landau-Lifshitz equation. This equation is highly nonlinear and has a non-convex constraint. In this work, a finite element approximation of a current-induced magnetization dynamics model is proposed. The model consists of a modified Landau-Lifshitz-Gilbert (LLG) equation incorporating spin transfer torque. The scheme preserves a non-convex constraint, requires only a linear solver at each time step and is easily applicable to the limiting cases. As the time and space steps tend to zero, a proof of convergence of the numerical solution to a (weak) solution of the modified LLG equation is given. Numerical results are presented to show the effect of the injected current on magnetization switching.
%U https://jmm.guilan.ac.ir/article_4831_2c3582561089ab2f63cce2b565741b3c.pdf