Optimal Error Analysis of Euler and Crank--Nicolson Projection Finite Difference Schemes for Landau--Lifshitz Equation

DOI10.1137/20M1335431zbMath1481.65119OpenAlexW3173643580MaRDI QIDQ4994423

Sun, Weiwei, Huadong Gao, Rong An

Publication date: 18 June 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1335431

zbMATH Keywords

projection schemefinite difference methodsLandau-Lifshitz equationmicromagneticsoptimal error estimate

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) 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 difference methods applied to problems in optics and electromagnetic theory (78M20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electromagnetic theory (general) (78A25) Statistical mechanics of magnetic materials (82D40) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (5)

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 ⋮ Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction ⋮ 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

Uses Software

• RODAS

Cites Work

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