@Article{IJNAM-6-505,
author = {L. Shen, J. Li and Z. Chen},
title = {Analysis of Stabilized Finite Volume Method for the Transient Stokes Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2009},
volume = {6},
number = {3},
pages = {505--519},
abstract = {<p style="text-align: justify;">This paper is concerned with the development and study of a stabilized finite volume
method for the transient Stokes problem in two and three dimensions. The stabilization is based on two local Gauss integrals and is parameter-free. The analysis is based on a relationship between this new finite volume method and a stabilized finite element method using the lowest equal-order
pair (i.e., the $P_1$-$P_1$ pair). An error estimate of optimal order in the $H^1$-norm for velocity and
an estimate in the $L^2$-norm for pressure are obtained. An optimal error estimate in the $L^2$-norm
for the velocity is derived under an additional assumption on the body force.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/781.html}
}