Voß, HeinrichHeinrichVoß2018-11-202018-11-202016-06-17Aerospace 2 (3): 17- (2016-06-01)http://tubdok.tub.tuhh.de/handle/11420/1861Small amplitude vibrations of a structure completely filled with a fluid are considered. Describing the structure by displacements and the fluid by its pressure field, the free vibrations are governed by a non-self-adjoint eigenvalue problem. This survey reports on a framework for taking advantage of the structure of the non-symmetric eigenvalue problem allowing for a variational characterization of its eigenvalues. Structure-preserving iterative projection methods of the the Arnoldi and of the Jacobi-Davidson type and an automated multi-level sub-structuring method are reviewed. The reliability and efficiency of the methods are demonstrated by a numerical example.en2226-431020162Art.-Nr. 17MDPIhttps://creativecommons.org/licenses/by/4.0/fluid–solid vibrationvariational characterizationstructure-preserving iterative projection methodsautomated multi-level sub-structuringMathematikJournal Articleurn:nbn:de:gbv:830-882.02364810.15480/882.185811420/186110.3390/aerospace302001710.15480/882.1858Journal Article