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Volume 34, Issue 2
Optimal Solver for Morley Element Discretization of Biharmonic Equation on Shape-Regular Grids

Chunsheng Feng & Shuo Zhang

DOI: 10.4208/jcm.1510-m2014-0085

J. Comp. Math., 34 (2016), pp. 159-173.

Published online: 2016-04

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  • Abstract

This paper presents an optimal solver for the Morley element problem for the boundary-value problem of the biharmonic equation by decomposing it into several subproblems and solving these subproblems optimally. The optimality of the proposed method is mathematically proved for general shape-regular grids.

  • Keywords

Biharmonic equation, Morley element, Optimal solver, Precondition, Exact sequence.

  • AMS Subject Headings

65F08, 65N30, 65N99.

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

spring@xtu.edu.cn (Chunsheng Feng)

szhang@lsec.cc.ac.cn (Shuo Zhang)

  • BibTex
  • RIS
  • TXT
@Article{JCM-34-159, author = {Feng , Chunsheng and Zhang , Shuo}, title = {Optimal Solver for Morley Element Discretization of Biharmonic Equation on Shape-Regular Grids}, journal = {Journal of Computational Mathematics}, year = {2016}, volume = {34}, number = {2}, pages = {159--173}, abstract = {

This paper presents an optimal solver for the Morley element problem for the boundary-value problem of the biharmonic equation by decomposing it into several subproblems and solving these subproblems optimally. The optimality of the proposed method is mathematically proved for general shape-regular grids.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1510-m2014-0085}, url = {http://global-sci.org/intro/article_detail/jcm/9788.html} }
TY - JOUR T1 - Optimal Solver for Morley Element Discretization of Biharmonic Equation on Shape-Regular Grids AU - Feng , Chunsheng AU - Zhang , Shuo JO - Journal of Computational Mathematics VL - 2 SP - 159 EP - 173 PY - 2016 DA - 2016/04 SN - 34 DO - http://doi.org/10.4208/jcm.1510-m2014-0085 UR - https://global-sci.org/intro/article_detail/jcm/9788.html KW - Biharmonic equation, Morley element, Optimal solver, Precondition, Exact sequence. AB -

This paper presents an optimal solver for the Morley element problem for the boundary-value problem of the biharmonic equation by decomposing it into several subproblems and solving these subproblems optimally. The optimality of the proposed method is mathematically proved for general shape-regular grids.

Feng , Chunsheng and Zhang , Shuo. (2016). Optimal Solver for Morley Element Discretization of Biharmonic Equation on Shape-Regular Grids. Journal of Computational Mathematics. 34 (2). 159-173. doi:10.4208/jcm.1510-m2014-0085
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