@Article{IJNAM-17-1,
author = {Wang, Lixiu and Yao, Changhui and Zhimin, Zhang},
title = {Convergence Analysis of Finite Element Approximation for 3-D Magneto-Heating Coupling Model},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2020},
volume = {17},
number = {1},
pages = {1--23},
abstract = {<p style="text-align: justify;">In this paper, the magneto-heating model is considered, where the nonlinear terms
conclude the coupling magnetic diffusivity, the turbulent convection zone, the flow fields, ohmic
heat, and α-quench. The highlights of this paper consist of three parts. Firstly, the solvability
of the model is derived from Rothe&#39;s method and Arzela-Ascoli theorem after setting up the
decoupled semi-discrete system. Secondly, the well-posedness for the full-discrete scheme is arrived
and the convergence order $O$($h$<sup>min{$s$,$m$}</sup>+$τ$) is obtained, respectively, where the approximation
scheme is based on backward Euler discretization in time and Nédélec-Lagrangian finite elements
in space. At last, a numerical experiment demonstrates the expected convergence.</p>},
issn = {2617-8710},
doi = {https://doi.org/2020-IJNAM-13637},
url = {https://global-sci.com/article/83005/convergence-analysis-of-finite-element-approximation-for-3-d-magneto-heating-coupling-model}
}