Paper Info
Title
Superconvergence of three dimensional Morley elements on cuboid meshes for biharmonic equations.
Abstract
In the present paper, superconvergence of second order, after an appropriate postprocessing, is achieved for three dimensional first order cuboid Morley elements of biharmonic equations. The analysis is dependent on superconvergence of second order for the consistency error and a corrected canonical interpolation operator, which help to establish supercloseness of second order for the corrected canonical interpolation. Then the final superconvergence is derived by a standard postprocessing. For first order nonconforming finite element methods of three dimensional fourth order elliptic problems, it is the first time that full superconvergence of second order is obtained without an extra boundary condition imposed on exact solutions. It is also the first time that superconvergence is established for nonconforming finite element methods of three dimensional fourth order elliptic problems. Numerical results are presented to demonstrate the validity of the theoretical results.
Year
DOI
Venue
2016
https://doi.org/10.1007/s10444-016-9470-3
Adv. Comput. Math.
Keywords
Field
DocType
Biharmonic equation,Cuboid Morley element,Superconvergence,65N30,65N15,35J25
Boundary value problem,Polygon mesh,Mathematical analysis,Interpolation,Superconvergence,Finite element method,Operator (computer programming),Cuboid,Biharmonic equation,Mathematics
Journal
Volume
Issue
ISSN
42
6
1019-7168
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Jun Hu115422.33
Zhong-ci Shi29712.23
Xueqin Yang310.73