Finite difference scheme for the Landau-Lifshitz equation

DOI10.1007/s13160-011-0054-9zbMath1263.78014OpenAlexW2166539008MaRDI QIDQ692036

Tetsuya Ishiwata, Atsushi Fuwa

Publication date: 4 December 2012

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-011-0054-9

zbMATH Keywords

error estimatesfinite difference schemeLandau-Lifshitz equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

Advantages of a semi-implicit scheme over a fully implicit scheme for Landau-Lifshitz-Gilbert equation ⋮ Convergence of a mass-lumped finite element method for the Landau-Lifshitz equation ⋮ The mimetic finite difference method for the Landau-Lifshitz equation ⋮ Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation ⋮ Second-order semi-implicit projection methods for micromagnetics simulations ⋮ 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 ⋮ Structure preserving finite difference scheme for the Landau-Lifshitz equation with applied magnetic field

Cites Work

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• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
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• Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property
• Numerical Methods for the Landau--Lifshitz Equation
• Constraint preserving implicit finite element discretization of harmonic map flow into spheres
• On global weak solutions for Landau-Lifshitz equations: Existence and nonuniqueness
• Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation
• Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations

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