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Automated Multilevel Substructuring for Nonlinear Eigenproblems
Citation Link: https://doi.org/10.15480/882.59
Publikationstyp
Preprint
Date Issued
2005-03
Sprache
English
Author(s)
Voß, Heinrich
Institut
TORE-DOI
First published in
Preprints des Institutes für Mathematik;Bericht 86
Number in series
86
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.
Subjects
nichtlineares Eigenwertproblem
dünnbesetzte Matrizen
iterative Projektionsmethode
Arnoldi Methode
automated multi-level substructuring
AMLS
nonlinear eigenproblem
sparse matrix
iterative projection method
Arnoldi method
DDC Class
510: Mathematik
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