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Volume 21, Issue 4
A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic

Xingwei Yang, Pengzhan Huang & Yinnian He

DOI: 10.4208/ijnam2024-1019

Int. J. Numer. Anal. Mod., 21 (2024), pp. 476-503.

Published online: 2024-06

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  • 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.

  • Keywords

Thermally coupled magnetohydrodynamic, inviscid, resistive, Voigt-regularization, finite element method, three-dimensional MHD equations.

  • AMS Subject Headings

65M60, 76W05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-21-476, author = {Yang , XingweiHuang , Pengzhan and He , Yinnian}, title = {A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2024}, volume = {21}, number = {4}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/10.4208/ijnam2024-1019}, url = {http://global-sci.org/intro/article_detail/ijnam/23199.html} }
TY - JOUR T1 - A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic AU - Yang , Xingwei AU - Huang , Pengzhan AU - He , Yinnian JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 476 EP - 503 PY - 2024 DA - 2024/06 SN - 21 DO - http://doi.org/10.4208/ijnam2024-1019 UR - https://global-sci.org/intro/article_detail/ijnam/23199.html KW - Thermally coupled magnetohydrodynamic, inviscid, resistive, Voigt-regularization, finite element method, three-dimensional MHD equations. AB -

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.

Yang , XingweiHuang , Pengzhan and He , Yinnian. (2024). A Voigt-Regularization of the Thermally Coupled Inviscid, Resistive Magnetohydrodynamic. International Journal of Numerical Analysis and Modeling. 21 (4). 476-503. doi:10.4208/ijnam2024-1019
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