Journal ArticleDOI
Numerical study of nonlinear ferromagnetic materials
Marián Slodiča,Ivan Cimrák +1 more
TLDR
In this paper, the authors proposed two new numerical schemes for a time discretization of the nonlinear equations describing a quasi-static electromagnetic field in a ferromagnetic material.About:
This article is published in Applied Numerical Mathematics.The article was published on 2003-07-01. It has received 25 citations till now. The article focuses on the topics: Nonlinear system & Maxwell's equations.read more
Citations
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Journal ArticleDOI
A survey on the Numerics and Computations for the Landau-Lifshitz Equation of Micromagnetism
TL;DR: In this paper, recent developments on the approximation of weak solutions, together with the overview of well-known methods for strong solutions, are addressed, as well as some interesting mathematical properties of the LL equation: nonlocal character for some quantities, nonconvex sideconstraints, strongly nonlinear terms.
Journal ArticleDOI
Geometrical integration of Landau-Lifshitz-Gilbert equation based on the mid-point rule
TL;DR: In this article, the mid-point rule time-stepping technique is applied to the numerical time integration of the LLG equation and the relevant properties of the numerical scheme are discussed.
Journal ArticleDOI
On the Preservation of Invariants by Explicit Runge--Kutta Methods
TL;DR: A new strategy to preserve invariants in the numerical integration of initial value problems with explicit Runge--Kutta methods is presented and it is proved that this technique retains the order of the original method, has an easy and cheap implementation, and can be used in adaptive Runge-KutTA codes.
Journal ArticleDOI
Modeling of Multiple Dynamics in the Radiation of Bulk Acoustic Wave Antennas
Zhi Yao,Sidhant Tiwari,Ting Lu,Jesse Rivera,Kevin Luong,Rob N. Candler,Gregory P. Carman,Yuanxun Ethan Wang +7 more
TL;DR: In this paper, an unconditionally stable finite-difference time-domain (FDTD) algorithm is proposed to predict and understand the complex response in strain-mediated multiferroic radio frequency devices, such as antennas.
Journal ArticleDOI
Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations
Florian Bruckner,Christoph Vogler,Bernhard Bergmair,Thomas M. Huber,Markus Fuger,Dieter Suess,Michael Feischl,Thomas Fuehrer,Marcus Page,Dirk Praetorius +9 more
TL;DR: The magnetostatic Maxwell equations and the Landau–Lifshitz–Gilbert (LLG) equation are combined to a multiscale method, which allows to extend the problem size of traditional micromagnetic simulations.
References
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Book
Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Book
Electrodynamics of continuous media
TL;DR: In this article, the propagation of electromagnetic waves and X-ray diffraction of X rays in crystals are discussed. But they do not consider the effects of superconductivity on superconducting conductors.
Book ChapterDOI
On the theory of the dispersion of magnetic permeability in ferromagnetic bodies
TL;DR: This chapter examines the distribution of magnetic moments in a ferromagnetic crystal and finds that if the crystal is placed in an external magnetic field, the boundaries between the layers begin to move so that the layers with magnetic moments parallel to the field become wider.
Journal ArticleDOI
L'hypothèse du champ moléculaire et la propriété ferromagnétique
TL;DR: HAL as mentioned in this paper is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not, which may come from teaching and research institutions in France or abroad, or from public or private research centers.
Book
Computational Electromagnetism: Variational Formulations, Complementarity, Edge Elements
TL;DR: In this article, the Scalar Magnetic Potential (SGP) approach is used to solve the problem of approximating the SGP with respect to the Wasserstein equation. But this approach is not suitable for all applications.