TY - JOUR
T1 - $P_1$-Nonconforming Quadrilateral Finite Volume Element Method and Its Cascadic Multigrid Algorithm for Elliptic Problems
AU - Man , Hongying
AU - Shi , Zhongci
JO - Journal of Computational Mathematics
VL - 1
SP - 59
EP - 80
PY - 2006
DA - 2006/02
SN - 24
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8734.html
KW - Finite volume element method, cascadic multigrid, elliptic problems.
AB - <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>