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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
Number in series
86
Citation
Preprints des Institutes für Mathematik 86: (2005)
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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