Uniform estimates for transmission problems in electromagnetism with high contrast in magnetic permeabilities

V Péron - arXiv preprint arXiv:2406.15276, 2024 - arxiv.org
We consider the time-harmonic Maxwell equations set on a domain made up of two
subdomains that represent a magnetic conductor and a non-magnetic material, and we …

Ventcel-type Transmission Conditions for the Scattering of a Time-harmonic Wave Problem with Accuracy up to Order

KEG Boutarene, S Galleze - Taiwanese Journal of Mathematics, 2023 - projecteuclid.org
This work deals with the asymptotic behaviour of the electric field in the transverse magnetic
(TM) mode, propagating in a bidimensional heterogeneous medium, composed by a …

Numerical study of the magnetic skin effect: Efficient parameterization of 2D surface‐impedance solutions for linear ferromagnetic materials

D Abou El Nasser El Yafi, V Péron… - … Journal of Numerical …, 2023 - Wiley Online Library
This work presents an efficient method based on asymptotic models in order to solve
numerically eddy current problems in a bi‐dimensional setting with a high contrast of linear …

Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials

DAEN El Yafi, V Péron - Computers & Mathematics with Applications, 2023 - Elsevier
The problem under consideration is that of time-harmonic eddy current problems in linear
ferromagnetic materials surrounded by a dielectric medium with a smooth common interface …

On Ventcel-type transmission conditions for a Helmholtz problem with a non-uniform thin layer

KEG Boutarene, S Galleze, V Péron - SeMA Journal, 2024 - Springer
We study the asymptotic behaviour of the electric field in the transverse magnetic (TM)
mode, propagating in a material composed of a two-dimensional object surrounded by a thin …

On a magnetic skin effect in eddy current problems: the magnetic potential in magnetically soft materials

V Péron, C Poignard - Zeitschrift für angewandte Mathematik und Physik, 2021 - Springer
This work is concerned with the time-harmonic eddy current problem in a bi-dimensional
setting with a high contrast of magnetic permeabilities between a conducting medium and a …

Résolution numérique de problèmes de diffusion magnétique dans des matériaux ferromagnétiques.

D Abou-El-Nasser-El-Yafi - 2023 - theses.hal.science
Cette thèse vise à résoudre numériquement le problème des courants de Foucault en
régime harmonique dans des matériaux linéairement ferromagnétiques entourés par un …

Equivalent multipolar point-source modeling of small spheres for fast and accurate electromagnetic wave scattering computations

J Labat, V Péron, S Tordeux - Wave Motion, 2020 - Elsevier
In this paper, we develop reduced models to approximate the solution of the electromagnetic
scattering problem in an unbounded domain which contains a small perfectly conducting …

Time-Domain Eddy Current and Wake Fields Analysis of Pulsed Multipole Magnet Beam Injector in Synchrotron Radiation Ring

H Kawaguchi, T Muramatsu, M Katoh… - IEICE Transactions …, 2022 - search.ieice.org
To achieve smooth beam injection in operation of synchrotron radiation facilities, pulsed
multipole magnet beam injectors are developed. It is found that the developed beam injector …