@Article{NMTMA-6-408,
author = {Cunyun Nie, Shi Shu, Haiyuan Yu and Juan Wu},
title = {Superconvergence and Asymptotic Expansions for Bilinear Finite Volume Element Approximations},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2013},
volume = {6},
number = {2},
pages = {408--423},
abstract = {<p style="text-align: justify;">Aiming at the isoparametric bilinear finite
volume element scheme, we initially derive an asymptotic expansion
and a high accuracy &nbsp;combination formula of the derivatives in the
sense of pointwise by employing the energy-embedded method on
uniform grids. Furthermore, we prove that the approximate
derivatives are convergent of order two. Finally, numerical examples
verify the theoretical results.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2013.1127nm},
url = {http://global-sci.org/intro/article_detail/nmtma/5911.html}
}