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Title: Automated Multilevel Substructuring for Nonlinear Eigenproblems
Language: English
Authors: Voß, Heinrich 
Elssel, Kolja 
Keywords: nichtlineares Eigenwertproblem;dünnbesetzte Matrizen;iterative Projektionsmethode;Arnoldi Methode;automated multi-level substructuring;AMLS;nonlinear eigenproblem;sparse matrix;iterative projection method;Arnoldi method
Issue Date: Mar-2005
Abstract (english): 
In this paper we generalize the automated multi–level substructuring method to certain classes of nonlinear eigenvalue problems which can be partitioned into an essential linear and positive definite pencil and a small residual. The efficiency of the method is demonstrated by numerical examples modeling damped vibrations of a structure with nonproportional damping, a gyroscopic eigenproblem, and a rational eigenproblem governing free vibrations of a fluid–solid structure.
DOI: 10.15480/882.59
Institute: Mathematik E-10 
Document Type: Preprint
License: In Copyright In Copyright
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 86
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