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New expansions of numerical eigenvalues by Wilson’s element

✍ Scribed by Qun Lin; Hung-Tsai Huang; Zi-Cai Li

Book ID
104005982
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
751 KB
Volume
225
Category
Article
ISSN
0377-0427

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📜 SIMILAR VOLUMES

New expansions of numerical eigenvalues
New expansions of numerical eigenvalues by finite elements
✍ Hung-Tsai Huang; Zi-Cai Li; Qun Lin 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 239 KB

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,

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Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods
✍ Xiaobo Yin; Hehu Xie; Shanghui Jia; Shaoqin Gao 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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