A Finite Element Based Heterogeneous Multiscale Method for the Landau-Lifshitz Equation

Leitenmaier, Lena; Nazarov, Murtazo

doi:10.2139/ssrn.3979583

SSRN Journal

2021

DOI: 10.2139/ssrn.3979583

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A Finite Element Based Heterogeneous Multiscale Method for the Landau-Lifshitz Equation

Lena Leitenmaier¹,

Murtazo Nazarov²

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2022

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Heterogeneous Multiscale Methods for the Landau–Lifshitz Equation

Leitenmaier

Runborg

2022

J Sci Comput

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In this paper, we present a finite difference Heterogeneous Multiscale Method for the Landau–Lifshitz equation with a highly oscillatory diffusion coefficient. The approach combines a higher order discretization and artificial damping in the so-called micro problem to obtain an efficient implementation. The influence of different parameters on the resulting approximation error is discussed. Further important factors that are taken into account are the choice of time integrator and the initial data for the micro problem which has to be set appropriately to get a consistent scheme. Numerical examples in one and two space dimensions and for both periodic as well as more general coefficients are given to demonstrate the functionality of the approach.

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Heterogeneous Multiscale Methods for the Landau–Lifshitz Equation

Leitenmaier

Runborg

2022

J Sci Comput

Self Cite

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show abstract

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A Finite Element Based Heterogeneous Multiscale Method for the Landau-Lifshitz Equation

Cited by 1 publication

References 24 publications

Heterogeneous Multiscale Methods for the Landau–Lifshitz Equation

Heterogeneous Multiscale Methods for the Landau–Lifshitz Equation

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