A remark on spurious eigenvalues in a square

✍ Scribed by D. Boffi; R.G. Duran; L. Gastaldi

• Book ID: 104350198
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 477 KB
• Volume: 12
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(98)00181-5

✦ Synopsis

Communicated by F. Brezzi

Abstract--We study the finite element approximation of the eigensolutions of a second-order problem in a square arising in fluid-structure interaction. We analyze the schemes described in [1] and show that, when a uniform mesh is used, the first two methods produce spurious eigenmodes of different nature, while the third one provides eigensolutions converging to the continuous ones.