@Article{AAMM-10-767, author = {Lei , YanfangWang , Hongtao and Si , Zhiyong}, title = {Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {10}, number = {3}, pages = {767--784}, abstract = {

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 $є$ and $h$ are sufficiently small. Our numerical experiments show that our method is effective and our analysis is right.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2017-0103}, url = {http://global-sci.org/intro/article_detail/aamm/12235.html} }