Fourier-spectral method for the Landau-Lifshitz-Gilbert equation in micromagnetism

DOI10.1016/J.RINAM.2023.100380MaRDI QIDQ6084974

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Publication date: 2 December 2023

Published in: Results in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Landau-Lifshitz-Gilbert equationferromagnetismmagnetization dynamicsFourier-spectral method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Electromagnetic theory (general) (78A25)

Cites Work

• A stable numerical method for space fractional Landau-Lifshitz equations
• Current-induced magnetization dynamics. Global existence of weak solutions
• A new finite element scheme for Landau-Lifschitz equations
• A finite-difference scheme for a model of magnetization dynamics with inertial effects
• Numerical Methods for the Landau--Lifshitz Equation
• Spectral Methods
• The Fourier Method for Nonsmooth Initial Data
• A finite element approximation of a current-induced magnetization dynamics model
• CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU–LIFSHITZ EQUATIONS IN MICROMAGNETISM
• A numerical method for the Landau–Lifshitz equation with magnetostriction
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