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math.NA2021
A finite element based Heterogeneous Multiscale Method for the Landau-Lifshitz equation
Lena Leitenmaier, Murtazo Nazarov
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 finit…
math.NA2021
Heterogeneous multiscale methods for the Landau-Lifshitz equation
Lena Leitenmaier, Olof Runborg
In this paper, we present a finite difference heterogeneous multiscale method for the Landau-Lifshitz equation with a highly oscillatory diffusion coefficient. The approach combine…
math.NA2021
Upscaling errors in Heterogeneous Multiscale Methods for the Landau-Lifshitz equation
Lena Leitenmaier, Olof Runborg
In this paper, we consider several possible ways to set up Heterogeneous Multiscale Methods for the Landau-Lifshitz equation with a highly oscillatory diffusion coefficient, which…