The extrapolation of numerical eigenvalues by finite elements for differential operators
โ Scribed by Yang, Yidu; Bi, Hai; Li, Sirui
- Book ID
- 125419878
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 286 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0168-9274
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๐ SIMILAR VOLUMES
The paper provides new expansions of leading eigenvalues foru = u in S with the Dirichlet boundary condition u = 0 on jS by finite elements, with the support of numerical experiments. The theoretical proof of new expansions of leading eigenvalues is given only for the bilinear element Q 1 . However,
## 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