## On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures

Markus Stammberger and Heinrich Voss

### Abstract

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-max-characterization. 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.

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### Key words

eigenvalue, variational characterization, minmax principle, fluid-solid interaction, Rayleigh quotient iteration, Jacobi-Davidson method

65F15

### ETNA articles which cite this article

 Vol. 40 (2013), pp. 82-93 Aleksandra Kostić and Heinrich Voss: On Sylvester's law of inertia for nonlinear eigenvalue problems

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