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Title: A rational spectral problem in fluid-solid vibration
Language: English
Authors: Voß, Heinrich 
Keywords: nonlinear eigenvalue problem;maxmin principle;fluid structure interaction
Issue Date: Aug-2002
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 50
Abstract (english): In this paper we apply a minmax characterization for nonoverdamped nonlinear eigenvalue problems to a rational eigenproblem governing mechanical vibrations of a tube bundle immersed in an inviscid compressible fluid. This eigenproblem is nonstandard in two respects: it depends rationally on the eigenparameter, and it involves non-local boundary conditions. Comparison results are proved comparing the eigenvalues of the rational problem to those of certain linear problems suggesting a way how to construct ansatz vectors for an efficient projection method.
DOI: 10.15480/882.153
Institute: Mathematik E-10 
Type: ResearchPaper
License: In Copyright In Copyright
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