Paper Info
Title
Gradient Recovery for the Crouzeix-Raviart Element.
Abstract
A gradient recovery method for the Crouzeix---Raviart element is proposed and analyzed. The proposed method is based on local discrete least square fittings. It is proven to preserve quadratic polynomials and be a bounded linear operator. Numerical examples indicate that it can produce a superconvergent gradient approximation for both elliptic equations and Stokes equations. In addition, it provides an asymptotically exact posteriori error estimators for the Crouzeix---Raviart element.
Year
DOI
Venue
2015
10.1007/s10915-014-9939-5
Journal of Scientific Computing
Keywords
DocType
Volume
Nonconforming, The Crouzeix–Raviart element, Gradient recovery, Superconvergence, Polynomial preserving, 65N50, 65N30, 65N15
Journal
64
Issue
ISSN
Citations 
2
1573-7691
4
PageRank 
References 
Authors
0.43
9
2
Name
Order
Citations
PageRank
hailong guo1193.49
Zhimin Zhang210716.72