TY - JOUR
T1 - Superconvergence of the Finite Volume Method for Stokes Problems
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 2
SP - 398
EP - 412
PY - 2018
DA - 2018/11
SN - 11
DO - http://doi.org/10.4208/nmtma.OA-2017-0049
UR - https://global-sci.org/intro/article_detail/nmtma/12436.html
KW - 
AB - <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>