Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation

DOI10.1090/mcom/3597zbMath1466.65114arXiv1903.05415OpenAlexW3091197941MaRDI QIDQ5856735

Balázs Kovács, Christian Lubich, Michael Feischl, Georgios D. Akrivis

Publication date: 29 March 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.05415

zbMATH Keywords

stabilityBDF methodsLandau-Lifshitz-Gilbert equationnon-conforming finite element methodenergy technique

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for stiff equations (65L04)

Related Items (12)

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 ⋮ Temporal convergence of extrapolated BDF-2 scheme for the Maxwell-Landau-Lifshitz equations ⋮ Length Preserving Numerical Schemes for Landau–Lifshitz Equation Based on Lagrange Multiplier Approaches ⋮ FEM-BEM coupling for the Maxwell-Landau-Lifshitz-Gilbert equations via convolution quadrature: weak form and numerical approximation ⋮ Unconditional energy stability and temporal convergence of first-order numerical scheme for the square phase-field crystal model ⋮ The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics ⋮ Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps ⋮ Error analysis of a linear numerical scheme for the Landau–Lifshitz equation with large damping parameters ⋮ The Energy Technique for the Six-Step BDF Method ⋮ Optimal Error Analysis of Euler and Crank--Nicolson Projection Finite Difference Schemes for Landau--Lifshitz Equation

Uses Software

• feeLLGood

Cites Work

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