@Article{CiCP-26-5,
author = {Xue, Jiang and Zhang, Donghang and Zhang, Linbo and Zheng, Weiying},
title = {Finite Element Analysis for Nonstationary Magneto-Heat Coupling Problem},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {5},
pages = {1471--1489},
abstract = {<p style="text-align: justify;">This paper is devoted to finite element analysis for the magneto-heat coupling model which governs the electromagnetic fields in large power transformers.
The model, which couples Maxwell&#39;s equations and Heat equation through Ohmic
heat source, is nonlinear. First we derive an equivalent weak formulation for the nonlinear magneto-heat model. We propose a linearized and temporally discrete scheme
to approximate the continuous problem. The well-posedness and error estimates are
proven for the semi-discrete scheme. Based on the results, we propose a fully discrete
finite element problem and prove the error estimates for the approximate solutions. To
validate the magneto-heat model and verify the efficiency of the finite element method,
we compute an engineering benchmark problem of the International Compumag Society, P21<sup>b</sup>-MN. The numerical results agree well with experimental data.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2019.js60.08},
url = {https://global-sci.com/article/79866/finite-element-analysis-for-nonstationary-magneto-heat-coupling-problem}
}