# The Analysis of Nonlinear Magneto-heat Coupling Model Approached by Finite Element Methods

This article is devoted to the exploration of finite element methods for magneto-heat coupling model, where the eddy current problem  and the heat equation are coupled together  with the heat convection and the radiation effects. Firstly, the decoupled scheme is established by applying backward Euler discretization in time and  $N\acute{e}d\acute{e}lec$-Lagrange finite element in magnetic-temperature field, respectively. Secondly, the existence and uniqueness of the discretized scheme are proved by applying the theory of monotone operators. Then, under some regularity assumptions and time-step restriction, the error estimates are explored by employing the technique of a prior $L^\infty$ assumption. For $k=1$, we apply the superconvergence technique. Eventually, two numerical examples are provided to testify the theories.

#### 联系我们

电话：86-21-65981384

地址：上海市四平路1239号 致远楼