@Article{EAJAM-7-269,
author = {Yuanyuan Zhang and Zhongying Chen},
title = {Admissible Regions for Higher-Order Finite Volume Method Grids},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {7},
number = {2},
pages = {269--285},
abstract = {<p style="text-align: justify;">Admissible regions for higher-order finite volume method (FVM) grids are
considered. A new Hermite quintic FVM and a new hybrid quintic FVM are constructed
to solve elliptic boundary value problems, and the corresponding admissible regions are
investigated. A sufficient condition for the uniform local-ellipticity of the new hybrid
quintic FVM is obtained when its admissible region is known. In addition, the admissible
regions for a large number of higher-order FVMs are provided. For the same class of FVM
(Lagrange, Hermite or hybrid), the higher order FVM has a smaller admissible region
such that stronger geometric restrictions are required to guarantee its uniform local-ellipticity.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.290416.161016a},
url = {http://global-sci.org/intro/article_detail/eajam/10749.html}
}