Geodesic
A rational spectral problem in fluid-solid vibration
Electronic transactions on numerical analysis, Tome 16 (2003), pp. 93-105
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.
Classification : 49G05
Keywords: nonlinear eigenvalue problem, maxmin principle, fluid structure interaction 
@article{ETNA_2003__16__a5,
     author = {Voss,  Heinrich},
     title = {A rational spectral problem in fluid-solid vibration},
     journal = {Electronic transactions on numerical analysis},
     pages = {93--105},
     year = {2003},
     volume = {16},
     zbl = {1201.35152},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2003__16__a5/}
}
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Voss,  Heinrich. A rational spectral problem in fluid-solid vibration. Electronic transactions on numerical analysis, Tome 16 (2003), pp. 93-105. http://geodesic.mathdoc.fr/item/ETNA_2003__16__a5/