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Spectral approximation of variationally-posed eigenvalue problems by nonconforming methods

✍ Scribed by Ana Alonso; Anahí Dello Russo

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
891 KB
Volume
223
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 proved for the lowest order Crouzeix-Raviart approximation of the eigenpairs of two representative second-order elliptical operators.

📜 SIMILAR VOLUMES

Approximation and eigenvalue extrapolati
Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods
✍ Shanghui Jia; Hehu Xie; Xiaobo Yin; Shaoqin Gao 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 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