Gradient Recovery for the Crouzeix–Raviart Element

被引：0
作者：
Hailong Guo
Zhimin Zhang
机构：
[1] Wayne State University,Department of Mathematics
[2] Beijing Computational Science Research Center,undefined
来源：
Journal of Scientific Computing | 2015年 / 64卷
关键词：
Nonconforming; The Crouzeix–Raviart element; Gradient recovery; Superconvergence; Polynomial preserving; 65N50; 65N30; 65N15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：456 / 476
页数：20
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