A finite element based heterogeneous multiscale method for the Landau-Lifshitz equation

We present a Heterogeneous Multiscale Method for the Landau-Lifshitz equation with a highly oscillatory diffusion coefficient, a simple model for a ferromagnetic composite. A finite element macro scheme is combined with a finite difference micro model to approximate the effective equation correspond...

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Veröffentlicht in:Journal of computational physics Jg. 486; S. 112112
Hauptverfasser: Leitenmaier, Lena, Nazarov, Murtazo
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Inc 01.08.2023
Schlagworte:
Beräkningsvetenskap med inriktning mot numerisk analys
Finite element method
Heterogeneous Multiscale Methods
Micromagnetics
Scientific Computing with specialization in Numerical Analysis
Finite element method
Micromagnetics
Heterogeneous Multiscale Methods
ISSN:0021-9991, 1090-2716, 1090-2716
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:We present a Heterogeneous Multiscale Method for the Landau-Lifshitz equation with a highly oscillatory diffusion coefficient, a simple model for a ferromagnetic composite. A finite element macro scheme is combined with a finite difference micro model to approximate the effective equation corresponding to the original problem. This makes it possible to obtain effective solutions to problems with rapid material variations on a small scale, described by ε≪1, which would be too expensive to resolve in a conventional simulation. •Numerical homogenization using Heterogeneous Multiscale Methods.•Implementation of a new multiscale approach for the Landau-Lifshitz equation.•Finite element discretized macro model for flexibility.•Efficient finite difference micro model.•Makes it possible to treat arbitrarily small material variations.
ISSN:0021-9991
1090-2716
1090-2716
DOI:10.1016/j.jcp.2023.112112