Year: 2020
Author: Lixiu Wang, Changhui Yao, Zhimin Zhang
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 1 : pp. 1–23
Abstract
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'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 $O$($h$min{$s$,$m$}+$τ$) 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-13637
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 1 : pp. 1–23
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Magneto-heating model finite element methods nonlinear solvability convergent analysis.