@Article{CiCP-35-239,
author = {Li , AngYang , HongtaoGao , Yulong and Li , Yonghai},
title = {A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes},
journal = {Communications in Computational Physics},
year = {2024},
volume = {35},
number = {1},
pages = {239--272},
abstract = {<p style="text-align: justify;">This paper is devoted to constructing and analyzing a new upwind finite
volume element method for anisotropic convection-diffusion-reaction problems on
general quadrilateral meshes. We prove the coercivity, and establish the optimal error estimates in $H^1$ and $L^2$ norm respectively. The novelty is the discretization of convection term, which takes the two terms Taylor expansion. This scheme has not only
optimal first-order accuracy in $H^1$ norm, but also optimal second-order accuracy in $L^2$ norm, both for dominant diffusion and dominant convection. Numerical experiments
confirm the theoretical results.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2023-0189},
url = {http://global-sci.org/intro/article_detail/cicp/22902.html}
}