A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation

DOI10.4208/nmtma.OA-2022-0080MaRDI QIDQ5885728

Unnamed Author, Jingrun Chen, Lei Yang, Panchi Li, Rui Du

Publication date: 4 April 2023

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.03060

zbMATH Keywords

second-order accuracysemi-implicit schememicromagnetics simulationsinertial Landau-Lifshitz-Gilbert equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05)

Related Items (1)

Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction

Cites Work

• Unnamed Item
• A survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism
• Convergence analysis of a second-order semi-implicit projection method for Landau-Lifshitz equation
• Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation
• Second-order semi-implicit projection methods for micromagnetics simulations
• Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Error estimates for a semi-implicit numerical scheme solving the Landau–Lifshitz equation with an exchange field
• Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation
• Numerical analysis of the Landau–Lifshitz–Gilbert equation with inertial effects
• A Gauss-Seidel projection method for micromagnetics simulations

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