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.
Mohammed, M. and Mouhcine, T. (2022). A finite element approximation of a current-induced magnetization dynamics model. Journal of Mathematical Modeling, 10(1), 53-69. doi: 10.22124/jmm.2021.19486.1673
MLA
Mohammed, M. , and Mouhcine, T. . "A finite element approximation of a current-induced magnetization dynamics model", Journal of Mathematical Modeling, 10, 1, 2022, 53-69. doi: 10.22124/jmm.2021.19486.1673
HARVARD
Mohammed, M., Mouhcine, T. (2022). 'A finite element approximation of a current-induced magnetization dynamics model', Journal of Mathematical Modeling, 10(1), pp. 53-69. doi: 10.22124/jmm.2021.19486.1673
CHICAGO
M. Mohammed and T. Mouhcine, "A finite element approximation of a current-induced magnetization dynamics model," Journal of Mathematical Modeling, 10 1 (2022): 53-69, doi: 10.22124/jmm.2021.19486.1673
VANCOUVER
Mohammed, M., Mouhcine, T. A finite element approximation of a current-induced magnetization dynamics model. Journal of Mathematical Modeling, 2022; 10(1): 53-69. doi: 10.22124/jmm.2021.19486.1673
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