@Article{IJNAM-12-636,
author = {Tong Kang and Tao Chen},
title = {A $T-ψ$ Finite Element Method for a Nonlinear Degenerate Eddy Current Model  with Ferromagnetic Materials},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2015},
volume = {12},
number = {4},
pages = {636--663},
abstract = {<p style="text-align: justify;">This paper is devoted to the study of a fully discrete $T-\psi$ 8finite element method
based on $H$-decomposition to solve a nonlinear degenerate transient eddy current problem with
ferromagnetic materials. Here, the ferromagnetic properties are linked by a power material law.
We first design a nonlinear time-discrete scheme for approximation in suitable function spaces. We
show the well-posedness of the semidiscrete problem and prove the convergence of the nonlinear
scheme by the Minty-Browder technique. Finally, we suggest a fully discrete scheme, derive its
error estimate and give some numerical experiments to validate the theoretical result.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/505.html}
}