OPTIMAL SOLVER FOR MORLEY ELEMENT DISCRETIZATION OF BIHARMONIC EQUATION ON SHAPE-REGULAR GRIDS

OPTIMAL SOLVER FOR MORLEY ELEMENT DISCRETIZATION OF BIHARMONIC EQUATION ON SHAPE-REGULAR GRIDS

This paper presents an optimal solver for the Morley element problem for the boundaryvalue 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 g...

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Veröffentlicht in:Journal of computational mathematics 2016-03, Vol.34 (2), p.159-173
Hauptverfasser: Feng, Chunsheng, Zhang, Shuo
Format: Artikel
Sprache:eng
Schlagworte:
Morley元
优化求解
双调和方程
子问题
最佳解
离散
网格
边值问题
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Zusammenfassung:This paper presents an optimal solver for the Morley element problem for the boundaryvalue 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:0254-9409
1991-7139
DOI:10.4208/jcm.1510-m2014-0085