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 - <p style="text-align: justify;">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.</p>