Second-order semi-implicit projection methods for micromagnetics simulations

DOI10.1016/j.jcp.2019.109104zbMath1453.82093arXiv1907.02358OpenAlexW2954436743WikidataQ126775619 ScholiaQ126775619MaRDI QIDQ2223008

Changjian Xie, Jingrun Chen, Cheng Wang, Zhennan Zhou, Carlos J. García-Cervera

Publication date: 28 January 2021

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

Full work available at URL: https://arxiv.org/abs/1907.02358

zbMATH Keywords

Landau-Lifshitz-Gilbert equationsecond-order accuracybackward differentiation formulahysteresis loopmicromagnetics simulation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Statistical mechanics of magnetic materials (82D40) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Finite difference methods applied to problems in statistical mechanics (82M20)

Related Items (13)

A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation ⋮ A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes ⋮ A second-order numerical method for Landau-Lifshitz-Gilbert equation with large damping parameters ⋮ Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics ⋮ Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction ⋮ Length Preserving Numerical Schemes for Landau–Lifshitz Equation Based on Lagrange Multiplier Approaches ⋮ Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction ⋮ Advantages of a semi-implicit scheme over a fully implicit scheme for Landau-Lifshitz-Gilbert equation ⋮ Numerical Integration of Schrödinger Maps via the Hasimoto Transform ⋮ Error analysis of a linear numerical scheme for the Landau–Lifshitz equation with large damping parameters ⋮ High order accurate in time, fourth order finite difference schemes for the harmonic mapping flow ⋮ Convergence analysis of a second-order semi-implicit projection method for Landau-Lifshitz equation ⋮ A Gauss-Seidel projection method with the minimal number of updates for the stray field in micromagnetics simulations

Cites Work

• Unnamed Item
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• High order semi-implicit schemes for time dependent partial differential equations
• A convergent and precise finite element scheme for Landau-Lifschitz-Gilbert equation
• A semi-discrete scheme for the stochastic Landau-Lifshitz equation
• Finite difference scheme for the Landau-Lifshitz equation
• A convergent linear finite element scheme for the Maxwell-Landau-Lifshitz-Gilbert equations
• A survey on the numerics and computations for the Landau-Lifshitz equation of micromagnetism
• A new finite element scheme for Landau-Lifschitz equations
• A Crank-Nicolson scheme for the Landau-Lifshitz equation without damping
• The mimetic finite difference method for the Landau-Lifshitz equation
• Convergence of an implicit-explicit midpoint scheme for computational micromagnetics
• Geometric integration on spheres and some interesting applications
• An iterative approximation scheme for the Landau--Lifshitz--Gilbert equation
• Spin-polarized transport in ferromagnetic multilayers: an unconditionally convergent FEM integrator
• FEM-BEM coupling for the large-body limit in micromagnetics
• Numerical Methods for the Landau--Lifshitz Equation
• A decoupled and unconditionally convergent linear FEM integrator for the Landau-Lifshitz-Gilbert equation with magnetostriction
• Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism
• Optimal Error Estimates of a Linearized Backward Euler FEM for the Landau--Lifshitz Equation
• On a decoupled linear FEM integrator for eddy-current-LLG
• A Mean-Field Model for Spin Dynamics in Multilayered Ferromagnetic Media
• CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU–LIFSHITZ EQUATIONS IN MICROMAGNETISM
• On a Schrödinger--Landau--Lifshitz System: Variational Structure and Numerical Methods
• Error estimates for a semi-implicit numerical scheme solving the Landau–Lifshitz equation with an exchange field
• Nonlinear elliptic boundary value problems
• ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES
• Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation
• Hysteresis in layered spring magnets
• A Gauss-Seidel projection method for micromagnetics simulations

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