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Optimal Solver for Morley Element Discretization of Biharmonic Equation on Shape-Regular Grids
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@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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