Year: 2018
Author: Yanfang Lei, Hongtao Wang, Zhiyong Si
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 3 : pp. 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2017-0103
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 3 : pp. 767–784
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Conduction-convection problems penalty finite element method existence and convergence error estimates.