@Article{IJNAM-16-5,
author = {Bermúdez, Alfredo and López-Rodríguez, Bibiana and Rodríguez, Rodolfo and Salgado, Pilar},
title = {Numerical Solution of a Transient Three-Dimensional Eddy Current Model with Moving Conductors},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2019},
volume = {16},
number = {5},
pages = {695--717},
abstract = {<p style="text-align: justify;">The aim of this paper is to propose and analyze a numerical method to solve a time-dependent eddy current problem in a domain containing moving non magnetic conductors. To this
end, we choose a formulation in terms of the magnetic field, what leads to a parabolic problem
for which we prove an existence result. For space discretization, we propose a finite element
method based on Nédélec edge elements on a mesh that remains fixed over the time. The curl-free
constraint in the dielectric domain is relaxed by means of a penalty strategy that can be easily
implemented, without the need that the mesh fits the moving conducting and dielectric domains.
For time discretization, we use a backward Euler scheme. We report some numerical results.
First, we solve a test problem with a known analytical solution, which allows us to assess the
convergence of the method as the penalization and discretization parameters go to zero. Finally,
we solve a problem with cylindrical symmetry, which allows us to compare the results with those
obtained with an axisymmetric code.</p>},
issn = {2617-8710},
doi = {https://doi.org/2019-IJNAM-13249},
url = {https://global-sci.com/article/83090/numerical-solution-of-a-transient-three-dimensional-eddy-current-model-with-moving-conductors}
}