Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation
G Di Fratta, CM Pfeiler, D Praetorius… - IMA Journal of …, 2020 - academic.oup.com
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 …
On a sharp Poincaré-type inequality on the 2-sphere and its application in micromagnetics
On a Sharp Poincaré-Type Inequality on the 2-Sphere and its Application in Micromagnetics
Page 1 Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J …
Page 1 Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. SIAM J …
The Newtonian potential and the demagnetizing factors of the general ellipsoid
G Di Fratta - Proceedings of the Royal Society A …, 2016 - royalsocietypublishing.org
The objective of this paper is to present a modern and concise new derivation for the explicit
expression of the interior and exterior Newtonian potential generated by homogeneous …
expression of the interior and exterior Newtonian potential generated by homogeneous …
On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces
G Di Fratta, A Fiorenza, V Slastikov - arXiv preprint arXiv:2110.08755, 2021 - arxiv.org
The paper concerns the analysis of global minimizers of a Dirichlet-type energy functional in
the class of $\mathbb {S}^ 2$-valued maps defined in cylindrical surfaces. The model …
the class of $\mathbb {S}^ 2$-valued maps defined in cylindrical surfaces. The model …
The mathematics of thin structures
This article offers various mathematical contributions to the behavior of thin films. The
common thread is to view thin film behavior as the variational limit of a three-dimensional …
common thread is to view thin film behavior as the variational limit of a three-dimensional …
Dimension reduction for the micromagnetic energy functional on curved thin films
G Di Fratta - arXiv preprint arXiv:1609.08040, 2016 - arxiv.org
Recently a significant interest in ferromagnetic curved thin films has appeared. In particular,
thin spherical shells are currently of great interest due to their capability to support skyrmion …
thin spherical shells are currently of great interest due to their capability to support skyrmion …
Spin-diffusion model for micromagnetics in the limit of long times
In this paper, we consider spin-diffusion Landau–Lifshitz–Gilbert equations (SDLLG), which
consist of the time-dependent Landau–Lifshitz–Gilbert (LLG) equation coupled with a time …
consist of the time-dependent Landau–Lifshitz–Gilbert (LLG) equation coupled with a time …
[引用][C] On a sharp Poincaré-type inequality on the 2-sphere and its application in micromagnetics
GDFV Slastikov, A Zarnescu