学术报告

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

阅读次数:953

题目:The Analysis of Nonlinear Magneto-heat Coupling Model Approached by Finite Element Methods
报告人:Changhui Yao (School of Mathematics and Statistics,Zhengzhou University)
地点:致远楼103室
时间:2018年6月30日 上午10:00-11:00
摘要:
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.

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