@Article{IJNAM-7-2,
author = {},
title = {A New Finite Volume Method for the Stokes Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2010},
volume = {7},
number = {2},
pages = {281--302},
abstract = {<p style="text-align: justify;">A new finite volume method for solving the Stokes equations is
developed in this paper. The finite volume method makes use of the $BDM_1$ mixed element in approximating the velocity unknown, and consequently, the
finite volume solution features a full satisfaction of the divergence-free constraint
as required for the exact solution. Optimal-order error estimates are
established for the corresponding finite volume solutions in various Sobolev
norms. Some preliminary numerical experiments are conducted and presented
in the paper. In particular, a post-processing procedure was numerically investigated
for the pressure approximation. The result shows a superconvergence
for a local averaging post-processing method.</p>},
issn = {2617-8710},
doi = {https://doi.org/2010-IJNAM-720},
url = {https://global-sci.com/article/83590/a-new-finite-volume-method-for-the-stokes-problems}
}