@Article{NMTMA-11-398,
author = {Tie Zhang and Yongchao Tang},
title = {Superconvergence of the Finite Volume Method for Stokes Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2018},
volume = {11},
number = {2},
pages = {398--412},
abstract = {<p style="text-align: justify;">This paper presents a superconvergence analysis of the finite volume method for Stokes problems using the $P_1$ – $P_1$ velocity-pressure element pair. Based on some superclose estimates on the interpolation function, we derive a superconvergence result of rate&nbsp;$\mathcal{O}(h^{\frac{3}{2}})$ for the post-processed velocity approximation in the $H^1$-norm and for the directly computed pressure approximation in the $L_2$-norm, respectively. Numerical experiments are provided to illustrate the
theoretical analysis.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2017-0049},
url = {http://global-sci.org/intro/article_detail/nmtma/12436.html}
}