TY - JOUR
T1 - Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems
AU - Lei , Yanfang
AU - Wang , Hongtao
AU - Si , Zhiyong
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 767
EP - 784
PY - 2018
DA - 2018/10
SN - 10
DO - http://doi.org/10.4208/aamm.OA-2017-0103
UR - https://global-sci.org/intro/article_detail/aamm/12235.html
KW - Conduction-convection problems, penalty finite element method, existence and convergence, error estimates.
AB - <p style="text-align: justify;">In this paper, a penalty finite element method is presented for the two dimensional stationary conduction-convection problems. The existence and the convergence of the penalty stationary conduction-convection formulation are shown. An optimal error estimate of the numerical velocity, pressure and temperature is provided for the penalty finite element method when the parameters $є$&nbsp;and $h$ are sufficiently small. Our numerical experiments show that our method is effective and our analysis is right.</p>