[PDF][PDF] A third order linearized BDF scheme for Maxwell's equations with nonlinear conductivity using finite element method

C Yao, Y Lin, C Wang, Y Kou - Int. J. Numer. Anal. Model, 2017 - math.ualberta.ca
In this paper, we study a third order accurate linearized backward differential formula (BDF)
type scheme for the nonlinear Maxwell's equations, using the Nédelec finite element …

Модифицированные калибровочные соотношения для системы уравнений Максвелла в квазистационарном магнитном приближении

АВ Калинин, АА Тюхтина, ОА Изосимова - Журнал Средневолжского …, 2017 - mathnet.ru
Система уравнений Максвелла в квазистационарном магнитном приближении находит
применение при решении различных практических задач [1]. Основные задачи для …

Analysis of an ungauged T, φ–φ formulation of the eddy current problem with currents and voltage excitations

A Bermudez, M Pineiro, R Rodríguez… - … and Numerical Analysis, 2017 - esaim-m2an.org
The objective of this work is the analysis of a time-harmonic eddy current problem with
prescribed currents or voltage drops on the boundary of the conducting domain. We will …

Modified Coulomb and Lorenz gauges in the modeling of low-frequency electromagnetic processes

AV Kalinin, AA Tiukhtina… - IOP Conference Series …, 2016 - iopscience.iop.org
The boundary value problem for the quasistationary magnetic approximation of the time-
harmonic Maxwell equations in inhomogeneous media is studied. The considered problem …

Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations.

J Wang - Discrete & Continuous Dynamical Systems-Series …, 2021 - search.ebscohost.com
In this paper, we investigate an accurate and efficient method for nonlinear Maxwell's
equation. DG method and Crank-Nicolson scheme are employed for spatial and time …

Fully discrete T‐ψ finite element method to solve a nonlinear induction hardening problem

T Kang, R Wang, H Zhang - Numerical Methods for Partial …, 2021 - Wiley Online Library
We study an induction hardening model described by Maxwell's equations coupled with a
heat equation. The magnetic induction field is assumed a nonlinear constitutional relation …

[PDF][PDF] A T-ψ finite element method for a nonlinear degenerate eddy current model with ferromagnetic materials

T Kang, T Chen - Int. J. Numer. Anal. Model, 2015 - Citeseer
TONG KANG AND TAO CHEN (Communicated by Xue-cheng Tai) Abstract. This paper is
devoted to the study of a fully discrete T-ψ finite element method based on H-decomposition …

Initial-boundary value problems for the Maxwell equations in the quasi-stationary approximation

AA Tyukhtina - Journal of Physics: Conference Series, 2019 - iopscience.iop.org
The initial-boundary value problem for the quasi-stationary magnetic approximation of the
time-dependent Maxwell equations with magnetic boundary conditions is studied. The case …

[PDF][PDF] Centro de Investigación en Ingenierıa Matemática (CI 2 MA)

A Bermúdez, B López-Rodrıguez, R Rodrıguez… - ci2ma.udec.cl
The main goal of this work is to give a review of the Perfectly Matched Layer (PML)
technique for time-harmonic problems. Precisely, we focus our attention on problems stated …

Boundary coefficient determination for an eddy current problem based on the potential field method

R Wang, T Kang, Y Wang - Computational and Applied Mathematics, 2018 - Springer
We study a recovery problem for an unknown boundary coefficient relating to one material
characteristic in an eddy current field. The field equations are represented in terms of the …