TY - JOUR
T1 - On Error Estimates of the Penalty Method for the Unsteady Conduction-Convection Problem I: Time Discretization
AU - H. Sun, Y. He & X. Feng
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 876
EP - 891
PY - 2012
DA - 2012/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/663.html
KW - Unsteady conduction-convection problem, Penalty method, Time discretization, Optimal error estimates.
AB - <p style="text-align: justify;">In this paper, the penalty method is proposed and discussed for the unsteady
conduction-convection problem in two dimensions. In addition, we analyze its time discretization which is based on the backward Euler implicit scheme. Finally, the main results of this paper
that optimal error estimates are obtained for the penalty system and the time discretization under
reasonable assumptions on the physical data.</p>