The extrapolated explicit midpoint scheme for variable order and step size controlled integration of the Landau-Lifschitz-Gilbert equation

DOI10.1016/j.jcp.2017.06.005zbMath1378.78010arXiv1703.02479OpenAlexW2606581466MaRDI QIDQ1691861

Norbert J. Mauser, Lukas Exl, Thomas Schrefl, Dieter Suess

Publication date: 25 January 2018

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

Full work available at URL: https://arxiv.org/abs/1703.02479

zbMATH Keywords

extrapolation methodmicromagneticsLandau-Lifschitz-Gilbert equationexplicit midpoint schemevariable-order method

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Electro- and magnetostatics (78A30)

Related Items (4)

Prediction of magnetization dynamics in a reduced dimensional feature space setting utilizing a low-rank kernel method ⋮ Preconditioned nonlinear conjugate gradient method for micromagnetic energy minimization ⋮ Learning time-stepping by nonlinear dimensionality reduction to predict magnetization dynamics ⋮ An adaptive step implicit midpoint rule for the time integration of Newton's linearisations of non-linear problems with applications in micromagnetics

Uses Software

• feeLLGood
• OOMMF

Cites Work

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• Beyond first-order finite element schemes in micromagnetics
• Fast stray field computation on tensor grids
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• Numerical treatment of ordinary differential equations by extrapolation methods
• Symmetric two-step algorithms for ordinary differential equations
• Solving Ordinary Differential Equations I
• Recent Progress in Extrapolation Methods for Ordinary Differential Equations
• FFT-based Kronecker product approximation to micromagnetic long-range interactions
• CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU–LIFSHITZ EQUATIONS IN MICROMAGNETISM
• On Extrapolation Algorithms for Ordinary Initial Value Problems
• Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation

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