A remark on spurious eigenvalues in a square

Authors
Boffi, D Duran, RG Gastaldi, L
Citation
D. Boffi et al., A remark on spurious eigenvalues in a square, APPL MATH L, 12(3), 1999, pp. 107-114
Citations number
5
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
12
Issue
3
Year of publication
1999
Pages
107 - 114
Database
ISI
SICI code
0893-9659(199905)12:3<107:AROSEI>2.0.ZU;2-B
Abstract
We study the finite element approximation of the eigensolutions of a second -order problem in a square arising in fluid-structure interaction. We analy ze the schemes described in [1] and show that, when a uniform mesh is used, the first two methods produce spurious eigenmodes of different nature, whi le the third one provides eigensolutions converging to the continuous ones. (C) 1999 Elsevier Science Ltd. All rights reserved.