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

Authors

  • Chunsheng Feng School of Mathematics and Computational Science, Xiangtan University Xiangtan, 411105, China
  • Shuo Zhang LSEC, ICMSEC, NCMIS, Academy of Mathematics and System Sciences Chinese Academy of Sciences, Beijing 100190, China

DOI:

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

Keywords:

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

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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Published

2018-08-22

Issue

Vol. 34 No. 2 (2016)

Section

Articles