@Article{JCM-24-1,
author = {Man, Hongying and Zhongci, Shi},
title = {$P_1$-Nonconforming Quadrilateral Finite Volume Element Method and Its Cascadic Multigrid Algorithm for Elliptic Problems},
journal = {Journal of Computational Mathematics},
year = {2006},
volume = {24},
number = {1},
pages = {59--80},
abstract = {<p style="text-align: justify;">In this paper, we discuss the finite volume element method of $P_1$-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for general quadrilateral partition. An optimal cascadic multigrid algorithm is proposed to solve the nonsymmetric large-scale system resulting from such discretization. Numerical experiments are reported to support our theoretical results.</p>},
issn = {1991-7139},
doi = {https://doi.org/2006-JCM-8734},
url = {https://global-sci.com/article/85056/p-1-nonconforming-quadrilateral-finite-volume-element-method-and-its-cascadic-multigrid-algorithm-for-elliptic-problems}
}