A finite element based Heterogeneous Multiscale Method for the Landau-Lifshitz equation
Numerical Analysis
2021-11-23 v1 Numerical Analysis
Abstract
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 , which would be too expensive to resolve in a conventional simulation.
Cite
@article{arxiv.2111.11197,
title = {A finite element based Heterogeneous Multiscale Method for the Landau-Lifshitz equation},
author = {Lena Leitenmaier and Murtazo Nazarov},
journal= {arXiv preprint arXiv:2111.11197},
year = {2021}
}