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High-accuracy approximations for eigenvalue problems by the Carey non-conforming finite element

✍ Scribed by Lin, Qun ;Wu, Dongsheng

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 123 KB
Volume: 15
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199901)15:1<19::aid-cnm220>3.0.co;2-w

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✦ Synopsis

In this paper the Carey non-conforming ®nite element is considered for solving eigenvalue problems of the second-order elliptic operator. Based on an interpolation postprocessing, high-accuracy estimates of both eigenfunctions and eigenvalues are obtained:

Here, P 2 2h is an interpolation operator, (l, u) and (l h , u h ) are eigenpairs for the exact problem and its Carey element approximations, respectively, and l h is de®ned by the Rayleigh ratio of P 2 2h u h .

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