Year: 1998
Author: Zhongci Shi, Zhenghui Xie
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 5 : pp. 385–394
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1998-JCM-9169
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 5 : pp. 385–394
Published online: 1998-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Multigrid method Morley element Nonnested meshes.