Geodesic
On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures
Electronic transactions on numerical analysis, Tome 36 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {36},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2010__36__a4/}
}
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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/