@Article{AAMM-17-1509,
author = {Guo , Junru and Liu , Demin},
title = {Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2025},
volume = {17},
number = {5},
pages = {1509--1549},
abstract = {<p style="text-align: justify;">In this paper, a first-order penalty finite element method for the 2D/3D unsteady incompressible thermomicropolar fluid (UITF) equations is considered, which
combines the advantage of the penalty method, first-order backward Euler scheme,
and implicit or explicit iteration for the nonlinear terms to get a decoupled temporal evolution procedure, which only needs to solve a series of elliptic subproblems.
Theoretically, the stability analysis and optimal error estimates of the temporal semi-discrete method are deduced. Furthermore, the classical MINI element pairs are
adopted in concrete spatial discrete, and the feasibility of the method is verified by
numerical experiments.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2023-0238},
url = {http://global-sci.org/intro/article_detail/aamm/24290.html}
}