@Article{JCM-19-67,
author = {Ming , Ping-Bing and Shi , Zhong-Ci},
title = {Optimal Mixed $H-P$ Finite Element Methods for Stokes and Non-Newtonian Flow},
journal = {Journal of Computational Mathematics},
year = {2001},
volume = {19},
number = {1},
pages = {67--76},
abstract = {<p style="text-align: justify;">Based upon a new mixed variational formulation for the three-field Stokes equations and linearized Non-Newtonian flow, an $h-p$ finite element method is presented with or without a stabilization. As to the variational formulation without stabilization, optimal error bounds in $h$ as well as in $p$ are obtained. As with stabilization, optimal error bounds are obtained which is optimal in $h$ and one order deterioration in $p$ for the pressure, that is consistent with numerical results in [9,12] and therefore solved the problem therein. Moreover, we proposed a stabilized formulation which is optimal in both $h$ and $p$.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/8958.html}
}