TY - JOUR
T1 - Multigrid Methods for Morley Element on Nonnested Meshes
AU - Shi , Zhongci
AU - Xie , Zhenghui
JO - Journal of Computational Mathematics
VL - 5
SP - 385
EP - 394
PY - 1998
DA - 1998/10
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9169.html
KW - Multigrid method, Morley element, Nonnested meshes.
AB - <p style="text-align: justify;">In this paper, we consider some multigrid algorithms for the biharmonic problem discretized by Morley element on nonnested meshes. Through taking the averages of the nodal variables we construct an intergrid transfer operator that satisfies a certain stable approximation property. The so-called regularity-approximation assumption is then established. Optimal convergence properties of the $W$-cycle and a uniform condition number estimate for the variable $V$-cycle preconditioner are presented. This technique is applicable to other nonconforming plate elements.</p>