TY - JOUR
T1 - Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations
AU - Guo , Junru
AU - Liu , Demin
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1509
EP - 1549
PY - 2025
DA - 2025/07
SN - 17
DO - http://doi.org/10.4208/aamm.OA-2023-0238
UR - https://global-sci.org/intro/article_detail/aamm/24290.html
KW - Thermomicropolar fluid equations, penalty method, backward Euler scheme, error estimates.
AB - <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>