Title
Superconvergent Two-grid Methods For Elliptic Eigenvalue Problems
Abstract
Some numerical algorithms for elliptic eigenvalue problems are proposed, analyzed, and numerically tested. The methods combine advantages of the two-grid algorithm (Xu and Zhou in Math Comput 70(233):17---25, 2001), the two-space method (Racheva and Andreev in Comput Methods Appl Math 2:171---185, 2002), the shifted inverse power method (Hu and Cheng in Math Comput 80:1287---1301, 2011; Yang and Bi in SIAM J Numer Anal 49:1602---1624, 2011), and the polynomial preserving recovery enhancing technique (Naga et al. in SIAM J Sci Comput 28:1289---1300, 2006). Our new algorithms compare favorably with some existing methods and enjoy superconvergence property.
Year
DOI
Venue
2017
10.1007/s10915-016-0245-2
J. Sci. Comput.
Keywords
DocType
Volume
Eigenvalue problems, Two-grid method, Gradient recovery, Superconvergence, Polynomial preserving, Adaptive, 65N15, 65N25, 65N30
Journal
70
Issue
ISSN
Citations 
1
1573-7691
6
PageRank 
References 
Authors
0.48
18
3
Name
Order
Citations
PageRank
hailong guo1193.49
Z. Zhang224039.29
Ren Zhao34815.88