Year: 2024
Author: Xingwei Yang, Pengzhan Huang, Yinnian He
International Journal of Numerical Analysis and Modeling, Vol. 21 (2024), Iss. 4 : pp. 476–503
Abstract
In this paper, we prove the existence of weak solution and the uniqueness of strong solution to a Voigt-regularization of the three-dimensional thermally coupled inviscid, resistive MHD equations. We also propose a fully discrete scheme for the considered problem, which is proven to be stable and convergent. All computational results support the theoretical analysis and demonstrate the effectiveness of the presented scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ijnam2024-1019
International Journal of Numerical Analysis and Modeling, Vol. 21 (2024), Iss. 4 : pp. 476–503
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Thermally coupled magnetohydrodynamic inviscid resistive Voigt-regularization finite element method three-dimensional MHD equations.
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