Name
Abstract | ||
|---|---|---|
On the basis of a transform lemma, an asymptotic expansion of the bilinear finite element is derived over graded meshes for
the Steklov eigenvalue problem, such that the Richardson extrapolation can be applied to increase the accuracy of the approximation,
from which the approximation of O(h
3.5) is obtained. In addition, by means of the Rayleigh quotient acceleration technique and an interpolation postprocessing method,
the superconvergence of the bilinear finite element is presented over graded meshes for the Steklov eigenvalue problem, and
the approximation of O(h
3) is gained. Finally, numerical experiments are provided to demonstrate the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s10444-009-9118-7 | Adv. Comput. Math. |
Keywords | DocType | Volume |
The Steklov eigenvalue problem,Graded meshes,Richardson extrapolation,Superconvergence,A posteriori error estimators,76S05,45K05,65M12,65M60,65R20 | Journal | 33 |
Issue | ISSN | Citations |
1 | 1019-7168 | 3 |
PageRank | References | Authors |
0.76 | 4 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mingxia Li | 1 | 4 | 1.80 |
| Qun Lin | 2 | 78 | 14.23 |
| Shuhua Zhang | 3 | 38 | 9.06 |