@article {
author = {Mohammed, Moumni and Mouhcine, Tilioua},
title = {A finite element approximation of a current-induced magnetization dynamics model},
journal = {Journal of Mathematical Modeling},
volume = {10},
number = {1},
pages = {53-69},
year = {2022},
publisher = {University of Guilan},
issn = {2345-394X},
eissn = {2382-9869},
doi = {10.22124/jmm.2021.19486.1673},
abstract = {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.},
keywords = {Ferromagnetism,magnetization dynamics,spin polarized current,finite elements},
url = {https://jmm.guilan.ac.ir/article_4831.html},
eprint = {https://jmm.guilan.ac.ir/article_4831_2c3582561089ab2f63cce2b565741b3c.pdf}
}