A remark on spurious eigenvalues in a square

D. Boffi; R. G. Duran; L. Gastaldi

doi:10.1016/S0893-9659(98)00181-5

A remark on spurious eigenvalues in a square

D. Boffi, R. G. Duran, L. Gastaldi

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26 Scopus citations

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. © 1999 Elsevier Science Ltd. All rights reserved.

Original language	English (US)
Pages (from-to)	107-114
Number of pages	8
Journal	Applied Mathematics Letters
Volume	12
Issue number	3
DOIs	https://doi.org/10.1016/S0893-9659(98)00181-5
State	Published - Jan 1 1999
Externally published	Yes

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AU - Duran, R. G.

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N2 - 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. © 1999 Elsevier Science Ltd. All rights reserved.

AB - 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. © 1999 Elsevier Science Ltd. All rights reserved.

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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ER -

A remark on spurious eigenvalues in a square

Abstract

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