MicroMagnetic. jl: A Julia package for micromagnetic and atomistic simulations with GPU support
MicroMagnetic. jl is an open-source Julia package for micromagnetic and atomistic
simulations. Using the features of the Julia programming language, MicroMagnetic. jl …
simulations. Using the features of the Julia programming language, MicroMagnetic. jl …
Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction
In this paper, we study the thin-film limit of the micromagnetic energy functional in the
presence of bulk Dzyaloshinskii–Moriya interaction (DMI). Our analysis includes both a …
presence of bulk Dzyaloshinskii–Moriya interaction (DMI). Our analysis includes both a …
Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics
We consider the numerical approximation of the Landau–Lifshitz–Gilbert equation, which
describes the dynamics of the magnetization in ferromagnetic materials. In addition to the …
describes the dynamics of the magnetization in ferromagnetic materials. In addition to the …
Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation
Combining ideas from Alouges et al.(2014, A convergent and precise finite element scheme
for Landau–Lifschitz–Gilbert equation. Numer. Math., 128, 407–430) and Praetorius et …
for Landau–Lifschitz–Gilbert equation. Numer. Math., 128, 407–430) and Praetorius et …
Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics
The tangent plane scheme is a time-marching scheme for the numerical solution of the
nonlinear parabolic Landau–Lifshitz–Gilbert equation, which describes the time evolution of …
nonlinear parabolic Landau–Lifshitz–Gilbert equation, which describes the time evolution of …
A hybrid model to calculate the spin wave excitations in ferromagnetic/non-magnetic multilayers
A Lekdadri, H Lassri - Computer Physics Communications, 2023 - Elsevier
A theoretical work based on the second quantification of spin waves in ferromagnetic/non-
magnetic multilayers has been presented in this paper. This theoretical approach intended …
magnetic multilayers has been presented in this paper. This theoretical approach intended …
A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes
L Yang, J Chen, G Hu - Journal of Computational Physics, 2021 - Elsevier
A framework for the numerical solution of the Landau-Lifshitz-Gilbert equation is developed
in this paper. The numerical framework is based on the finite element method on tetrahedral …
in this paper. The numerical framework is based on the finite element method on tetrahedral …
[HTML][HTML] Unconditional well-posedness and IMEX improvement of a family of predictor-corrector methods in micromagnetics
NJ Mauser, CM Pfeiler, D Praetorius… - Applied Numerical …, 2022 - Elsevier
Abstract Recently, Kim & Wilkening (Convergence of a mass-lumped finite element method
for the Landau–Lifshitz equation, Quart. Appl. Math., 76, 383–405, 2018) proposed two …
for the Landau–Lifshitz equation, Quart. Appl. Math., 76, 383–405, 2018) proposed two …
Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii–Moriya interaction
Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral
magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii–Moriya …
magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii–Moriya …
Numerical analysis and efficient simulation of micromagnetic phenomena
CM Pfeiler - 2022 - repositum.tuwien.at
Time-dependent micromagnetic phenomena are usually described by the nonlinear Landau-
Lifshitz-Gilbert equation (LLG). The driving force of LLG is the effective field, which is derived …
Lifshitz-Gilbert equation (LLG). The driving force of LLG is the effective field, which is derived …