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 - <p style="text-align: justify;">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.</p>