A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes

DOI10.1016/j.jcp.2021.110142OpenAlexW3125839887MaRDI QIDQ2128393

Lei Yang, Jingrun Chen, Guanghui Hu

Publication date: 21 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110142

zbMATH Keywords

finite element methodgradient recoveryLandau-Lifshitz-Gilbert equationdemagnetization field calculationimplicit midpoint scheme

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Applications of statistical mechanics to specific types of physical systems (82Dxx)

Related Items (2)

Advantages of a semi-implicit scheme over a fully implicit scheme for Landau-Lifshitz-Gilbert equation ⋮ A Gauss-Seidel projection method with the minimal number of updates for the stray field in micromagnetics simulations

Uses Software

• Python
• MuMax
• OOMMF
• Commics

Cites Work

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• A convergent and precise finite element scheme for Landau-Lifschitz-Gilbert equation
• The superconvergent patch recovery (SPR) and adaptive finite element refinement
• Convergence of an implicit-explicit midpoint scheme for computational micromagnetics
• Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics
• Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation
• Second-order semi-implicit projection methods for micromagnetics simulations
• Partial regularity to the Landau-Lifshitz equation with spin accumulation
• Geometrical integration of Landau-Lifshitz-Gilbert equation based on the mid-point rule
• On multi-mesh \(H\)-adaptive methods
• Computational micromagnetics with Commics
• Existence of Regular Solutions of the Landau--Lifshitz--Gilbert Equation in 3D with Natural Boundary Conditions
• An Adaptive Finite Element Solver for Demagnetization Field Calculation
• Energy-preserving numerical methods for Landau–Lifshitz equation
• Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation
• Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation
• A Gauss-Seidel projection method for micromagnetics simulations

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