A stable numerical method for space fractional Landau-Lifshitz equations

DOI10.1016/j.aml.2016.05.014zbMath1347.65139OpenAlexW2414506464MaRDI QIDQ308932

Dongling Wang, Lei Yang, Wei Yang

Publication date: 6 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.aml.2016.05.014

zbMATH Keywords

stabilitymicromagneticsnumerical resultfractional Landau-Lifshitz equationsGauss-Seidel projectionsplit projection method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11) Ginzburg-Landau equations (35Q56)

Related Items (10)

An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations ⋮ Fourier-spectral method for the Landau-Lifshitz-Gilbert equation in micromagnetism ⋮ Error estimate of finite element/finite difference technique for solution of two-dimensional weakly singular integro-partial differential equation with space and time fractional derivatives ⋮ High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes ⋮ Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations ⋮ A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation ⋮ Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations ⋮ Space-time spectral method for the Cattaneo equation with time fractional derivative ⋮ A multigrid-reduction-in-time solver with a new two-level convergence for unsteady fractional Laplacian problems ⋮ Unnamed Item

Cites Work

• Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
• A convergent and precise finite element scheme for Landau-Lifschitz-Gilbert equation
• The fractional Landau-Lifshitz-Gilbert equation and the heat flow of harmonic maps
• Riesz potential operators and inverses via fractional centred derivatives
• Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
• Well-posedness for the fractional Landau-Lifshitz equation without Gilbert damping
• Numerical Methods for the Landau--Lifshitz Equation
• Toward lattice fractional vector calculus
• Continuous limit of discrete systems with long-range interaction
• A reduced theory for thin-film micromagnetics
• Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach
• A class of second order difference approximations for solving space fractional diffusion equations
• Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation
• A Gauss-Seidel projection method for micromagnetics simulations

This page was built for publication: A stable numerical method for space fractional Landau-Lifshitz equations