A linearized Crank-Nicolson/leapfrog scheme for the Landau-Lifshitz equation

DOI10.1216/rmj.2023.53.821zbMath1529.65073OpenAlexW4385079441MaRDI QIDQ6176509

Pengzhan Huang, Yin-Nian He, Mingru Liu

Publication date: 23 August 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-3/A-LINEARIZED-CRANKNICOLSONLEAPFROG-SCHEME-FOR-THE-LANDAULIFSHITZ-EQUATION/10.1216/rmj.2023.53.821.full

zbMATH Keywords

finite element methodLandau-Lifshitz equationoptimal error estimateCrank-Nicolson/leapfrog scheme

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) Electromagnetic theory (general) (78A25) Statistical mechanics of magnetic materials (82D40)

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