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

DOI10.1016/j.jcp.2023.112112arXiv2111.11197OpenAlexW3217395787MaRDI QIDQ6147086

Murtazo Nazarov, Lena Leitenmaier

Publication date: 15 January 2024

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.11197

zbMATH Keywords

finite element methodmicromagneticsheterogeneous multiscale methods

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

• Unnamed Item
• A convergent and precise finite element scheme for Landau-Lifschitz-Gilbert equation
• Automated solution of differential equations by the finite element method. The FEniCS book
• The heterogeneous multiscale methods
• A new finite element scheme for Landau-Lifschitz equations
• Homogenization of the Landau-Lifshitz-Gilbert equation in a contrasted composite medium
• Modelling long-range interactions in multiscale simulations of ferromagnetic materials
• Heterogeneous multiscale methods for the Landau-Lifshitz equation
• On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient
• The heterogeneous multiscale method
• Homogenization of ferromagnetic multilayers in the presence of surface energies
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Upscaling Errors in Heterogeneous Multiscale Methods for the Landau--Lifshitz Equation
• Analysis of Heterogeneous Multiscale Methods for Long Time Wave Propagation Problems
• CONVERGENCE OF A FINITE ELEMENT DISCRETIZATION FOR THE LANDAU–LIFSHITZ EQUATIONS IN MICROMAGNETISM
• Heterogeneous multiscale methods for stiff ordinary differential equations
• Homogenization of composite ferromagnetic materials
• Convergence of an Implicit Finite Element Method for the Landau–Lifshitz–Gilbert Equation

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