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 to-gether with the heat convection and the radiation effects.Firstly,the decoupled scheme is established by applying backward Euler discretization in time and N6delec-Lagrange finite element in magnetic-temperature field,respectively.Secondly,the existence and unique-ness 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? assumption.For k=1,we apply the superconvergence technique.Eventually,two numerical examples are provided to testify the theories.