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Volume 17, Issue 6
On the Domain Decomposition Method for Morley Element  – From Weak Overlap to Nonoverlap

Jian-Guo Huang

J. Comp. Math., 17 (1999), pp. 615-628.

Published online: 1999-12

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  • Abstract

In this paper, following our original ideas, we first consider a weakly overlapping additive Schwarz preconditioner according to the framework of [2] for Morley element and show that its condition number is quasi-optimal; we then analyze in detail the structure of this preconditioner, and after proper choices of the inexact solvers, we obtain a quasi-optimal nonoverlapping domain decomposition preconditioner in the last. Compared with [12], [13], it seems that according to this paper's procedure we can make out more thoroughly the relationship between overlapping and nonoverlapping domain decomposition methods for nonconforming plate elements, and certainly, we have also proposed another formal and simple strategy to construct nonoverlapping domain decomposition preconditioners for nonconforming plate elements.

  • Keywords

Morley element, Domain decomposition, Weak overlap.

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-17-615, author = {Huang , Jian-Guo}, title = {On the Domain Decomposition Method for Morley Element  – From Weak Overlap to Nonoverlap}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {6}, pages = {615--628}, abstract = {

In this paper, following our original ideas, we first consider a weakly overlapping additive Schwarz preconditioner according to the framework of [2] for Morley element and show that its condition number is quasi-optimal; we then analyze in detail the structure of this preconditioner, and after proper choices of the inexact solvers, we obtain a quasi-optimal nonoverlapping domain decomposition preconditioner in the last. Compared with [12], [13], it seems that according to this paper's procedure we can make out more thoroughly the relationship between overlapping and nonoverlapping domain decomposition methods for nonconforming plate elements, and certainly, we have also proposed another formal and simple strategy to construct nonoverlapping domain decomposition preconditioners for nonconforming plate elements.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9132.html} }
TY - JOUR T1 - On the Domain Decomposition Method for Morley Element  – From Weak Overlap to Nonoverlap AU - Huang , Jian-Guo JO - Journal of Computational Mathematics VL - 6 SP - 615 EP - 628 PY - 1999 DA - 1999/12 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9132.html KW - Morley element, Domain decomposition, Weak overlap. AB -

In this paper, following our original ideas, we first consider a weakly overlapping additive Schwarz preconditioner according to the framework of [2] for Morley element and show that its condition number is quasi-optimal; we then analyze in detail the structure of this preconditioner, and after proper choices of the inexact solvers, we obtain a quasi-optimal nonoverlapping domain decomposition preconditioner in the last. Compared with [12], [13], it seems that according to this paper's procedure we can make out more thoroughly the relationship between overlapping and nonoverlapping domain decomposition methods for nonconforming plate elements, and certainly, we have also proposed another formal and simple strategy to construct nonoverlapping domain decomposition preconditioners for nonconforming plate elements.

Huang , Jian-Guo. (1999). On the Domain Decomposition Method for Morley Element  – From Weak Overlap to Nonoverlap. Journal of Computational Mathematics. 17 (6). 615-628. doi:
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