@Article{EAJAM-14-4,
author = {Shuaijun, Liu and Pengzhan, Huang and Yinnian, He},
title = {Error Analysis of BDF-Galerkin FEMs for Thermally Coupled Incompressible MHD with Temperature Dependent Parameters},
journal = {East Asian Journal on Applied Mathematics},
year = {2024},
volume = {14},
number = {4},
pages = {731--768},
abstract = {<p style="text-align: justify;">In this paper, we consider the electromagnetically and thermally driven flow
which is modeled by evolutionary magnetohydrodynamic equations and heat equation
coupled through generalized Boussinesq approximation with temperature-dependent
coefficients. Based on a third-order backward differential formula for temporal discretization, mixed finite element approximation for spatial discretization and extrapolated treatments in linearization for nonlinear terms, a linearized backward differentiation formula type scheme for the considered equations is proposed and analysed. Optimal $L^2$-error estimates for the proposed fully discretized scheme are obtained by the
temporal-spatial error splitting technique. Numerical examples are presented to check
the accuracy and efficiency of the scheme.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2023-085.070723},
url = {https://global-sci.com/article/91346/error-analysis-of-bdf-galerkin-fems-for-thermally-coupled-incompressible-mhd-with-temperature-dependent-parameters}
}