Title
A nonconforming scheme to solve the parabolic problem
Abstract
The convergence order O(h2) of the Wilson nonconforming element has been derived by the superconvergence methods so far. In this paper, a nonconforming semi-discrete scheme is derived by the discontinuous Galerkin method when using the Wilson element approximation of the parabolic problem. In the new scheme, the penalty parameter is accurately estimated and the consistency error vanishes. Therefore, the error estimate can only be determined by the interpolation error of which the convergence order is O(h2).
Year
DOI
Venue
2015
10.1016/j.amc.2015.04.089
Applied Mathematics and Computation
Keywords
Field
DocType
Wilson nonconforming element,Parabolic problem,Superconvergence,Nonconforming semi-discrete scheme,Discontinuous Galerkin method
Convergence (routing),Discontinuous Galerkin method,Mathematical optimization,Interpolation error,Mathematical analysis,Parabolic problem,Superconvergence,Mathematics
Journal
Volume
Issue
ISSN
265
C
0096-3003
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Shicang Song100.68
Ming Sun29116.25
Liying Jiang300.34