Geodesic
On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures
Electronic transactions on numerical analysis, Tome 36 (2010)
In this paper we consider an unsymmetric eigenvalue problem occurring in fluid-solid vibrations. We present some properties of this eigenvalue problem and a Rayleigh functional which allows for a min-maxcharacterization. With this Rayleigh functional the one-sided Rayleigh functional iteration converges cubically, and a Jacobi-Davidson-type method improves the local and global convergence properties.
Classification : 65F15
Keywords: eigenvalue, variational characterization, minmax principle, fluid-solid interaction, Rayleigh quotient iteration, Jacobi-davidson method 
@article{ETNA_2010__36__a4,
     author = {Stammberger,  Markus and Voss,  Heinrich},
     title = {On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures},
     journal = {Electronic transactions on numerical analysis},
     year = {2010},
     volume = {36},
     zbl = {1237.74028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2010__36__a4/}
}
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AU  - Voss,  Heinrich
TI  - On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures
JO  - Electronic transactions on numerical analysis
PY  - 2010
VL  - 36
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LA  - en
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%0 Journal Article
%A Stammberger,  Markus
%A Voss,  Heinrich
%T On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures
%J Electronic transactions on numerical analysis
%D 2010
%V 36
%U http://geodesic.mathdoc.fr/item/ETNA_2010__36__a4/
%G en
%F ETNA_2010__36__a4
Stammberger,  Markus; Voss,  Heinrich. On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures. Electronic transactions on numerical analysis, Tome 36 (2010). http://geodesic.mathdoc.fr/item/ETNA_2010__36__a4/