Title
A nonconforming scheme with high accuracy for the plate bending problem.
Abstract
The convergence order O(h2) of the plate bending problem has been derived by the superconvergence methods or constructing new finite elements where shape function space consist of P3 space so far. In this paper, we can also present the same result of the Adini rectangular element by the interior penalty method. We built a new nonconforming scheme, where the penalty parameter is accurately estimated and the consistency term vanishes. Then, the error estimate can only be determined by the interpolation error.
Year
DOI
Venue
2014
10.1016/j.camwa.2014.07.028
Computers & Mathematics with Applications
Keywords
Field
DocType
Plate bending problem,Adini rectangular element,Nonconforming scheme,Interior penalty method
Convergence (routing),Mathematical optimization,Interpolation error,Mathematical analysis,Superconvergence,Finite element method,Mathematics,Shape function,Penalty method,Bending of plates
Journal
Volume
Issue
ISSN
68
10
0898-1221
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Ming Sun19116.25
Shicang Song200.68
Zeyi Liu300.34