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Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods

✍ Scribed by Shanghui Jia; Hehu Xie; Xiaobo Yin; Shaoqin Gao


Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
172 KB
Volume
54
Category
Article
ISSN
0862-7940

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πŸ“œ SIMILAR VOLUMES


Approximation and eigenvalue extrapolati
✍ Shanghui Jia; Hehu Xie; Xiaobo Yin; Shaoqin Gao πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 140 KB

## Abstract In this paper, we analyze the biharmonic eigenvalue problem by two nonconforming finite elements, __Q__ and __E Q__. We obtain full order convergence rate of the eigenvalue approximations for the biharmonic eigenvalue problem based on asymptotic error expansions for these two nonconform

Asymptotic expansions and extrapolations
✍ Xiaobo Yin; Hehu Xie; Shanghui Jia; Shaoqin Gao πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 212 KB

This paper derives a general procedure to produce an asymptotic expansion for eigenvalues of the Stokes problem by mixed finite elements. By means of integral expansion technique, the asymptotic error expansions for the approximations of the Stokes eigenvalue problem by Bernadi-Raugel element and Q

Spectral approximation of variationally-
✍ Ana Alonso; AnahΓ­ Dello Russo πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 891 KB

This paper deals with the nonconforming spectral approximation of variationally posed eigenvalue problems. It is an extension to more general situations of known previous results about nonconforming methods. As an application of the present theory, convergence and optimal order error estimates are p