full
search.png

Search

close.png

Cancel

arrow
Volume 16, Issue 5
Multigrid Methods for Morley Element on Nonnested Meshes

Zhongci Shi & Zhenghui Xie

J. Comp. Math., 16 (1998), pp. 385-394.

Published online: 1998-10

Preview Full PDF 2705 25128

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Multigrid method, Morley element, Nonnested meshes.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JCM-16-385, author = {Shi , Zhongci and Xie , Zhenghui}, title = {Multigrid Methods for Morley Element on Nonnested Meshes}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {5}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9169.html} }
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 -

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.

Shi , Zhongci and Xie , Zhenghui. (1998). Multigrid Methods for Morley Element on Nonnested Meshes. Journal of Computational Mathematics. 16 (5). 385-394. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard