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A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic

A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic

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.

Author Details

Xingwei Yang

Pengzhan Huang

Yinnian He

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