The mass-lumped midpoint scheme for computational micromagnetics: Newton linearization and application to magnetic skyrmion dynamics
DOI10.1515/cmam-2022-0060arXiv2203.06445OpenAlexW4282582685MaRDI QIDQ6157118
Carl-Martin Pfeiler, Giovanni Di Fratta, Michele Ruggeri, Dirk Praetorius
Publication date: 19 June 2023
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06445
finite elementsLandau-Lifshitz-Gilbert equationDzyaloshinskii-Moriya interactionNewton linearizationmagnetic skyrmionscomputational micromagnetics
Nonlinear parabolic equations (35K55) 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) Applications to the sciences (65Z05) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Numerical analysis (65-XX)
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