Innovative Weak Formulation for The Landau-Lifshitz-Gilbert Equations
Helga Szambolics (NEEL), Jean-Christophe Toussaint (NEEL, SPINTEC), L., D. Buda-Prejbeanu (SPINTEC), Fran\c{c}ois Alouges (LM-Orsay), Evaggelos, Kritsikis (SPINTEC), Olivier Fruchart (NEEL)
TL;DR
This paper introduces a novel finite element method for solving the Landau-Lifshitz-Gilbert equations, demonstrating its effectiveness through two 2D test problems to validate accuracy and applicability.
Contribution
A new weak formulation using finite elements is proposed for the Landau-Lifshitz-Gilbert equations, offering an alternative to conventional methods.
Findings
Validated the approach with two 2D test problems
Demonstrated the method's accuracy and validity
Provided a foundation for further micromagnetic simulations
Abstract
A non-conventional finite element formalism is proposed to solve the dynamic Landau-Lifshitz-Gilbert micromagnetic equations. Two bidimensional test problems are treated to estimate the validity and the accuracy of this finite element approach
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