Convergence of a mass-lumped finite element method for the Landau-Lifshitz equation

DOI10.1090/qam/1485zbMath1387.78009arXiv1608.07312OpenAlexW2963739873MaRDI QIDQ4605661

Jon Wilkening, Eugenia Kim

Publication date: 23 February 2018

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07312

zbMATH Keywords

convergenceweak solutionsfinite element methodsLandau-Lifshitz equationLandau-Lifshitz-Gilbert equationmicromagneticsmass-lumped method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Weak solutions to PDEs (35D30)

Related Items

Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics, The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics, Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics, Numerical analysis of the Landau–Lifshitz–Gilbert equation with inertial effects

Uses Software

• DistMesh
• feeLLGood

Cites Work

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