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

Year:    2016

Author:    Chunsheng Feng, Shuo Zhang

Journal of Computational Mathematics, Vol. 34 (2016), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1510-m2014-0085

Journal of Computational Mathematics, Vol. 34 (2016), Iss. 2 : pp. 159–173

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Biharmonic equation Morley element Optimal solver Precondition Exact sequence.

Author Details

Chunsheng Feng

Shuo Zhang