Finite Element Formalism for Micromagnetism
Abstract
The aim of this work is to present the details of the finite element approach we developed for solving the Landau-Lifschitz-Gilbert equations in order to be able to treat problems involving complex geometries. There are several possibilities to solve the complex Landau-Lifschitz-Gilbert equations numerically. Our method is based on a Galerkin-type finite element approach. We start with the dynamic Landau-Lifschitz-Gilbert equations, the associated boundary condition and the constraint on the magnetization norm. We derive the weak form required by the finite element method. This weak form is afterwards integrated on the domain of calculus. We compared the results obtained with our finite element approach with the ones obtained by a finite difference method. The results being in very good agreement, we can state that our approach is well adapted for 2D micromagnetic systems.
Cite
@article{arxiv.0709.4153,
title = {Finite Element Formalism for Micromagnetism},
author = {Helga Szambolics and Liliana-Daniela Buda and Jean-Christophe Toussaint and Olivier Fruchart},
journal= {arXiv preprint arXiv:0709.4153},
year = {2008}
}
Comments
Proceedings of conference EMF2006