@Article{EAJAM-7-269, author = {}, 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 = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.290416.161016a}, url = {http://global-sci.org/intro/article_detail/eajam/10749.html} }