The Superconvergent Cluster Recovery Method |
| |
Authors: | Yunqing Huang Nianyu Yi |
| |
Affiliation: | 1.Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematics and Computational Science,Xiangtan University,Xiangtan,P.R. China |
| |
Abstract: | A new gradient recovery technique SCR (Superconvergent Cluster Recovery) is proposed and analyzed for finite element methods.
A linear polynomial approximation is obtained by a least-squares fitting to the finite element solution at certain sample
points, which in turn gives the recovered gradient at recovering points. Compared with similar techniques such as SPR and
PPR, our approach is cheaper and efficient, while having same or even better accuracy. In additional, it can be used as an
a posteriori error estimator, which is relatively simple to implement, cheap in terms of storage and computational cost for
adaptive algorithms. We present some numerical examples illustrating the effectiveness of our recovery procedure. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|