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Multi-level substructuring combined with model order reduction methods
Publikationstyp
Journal Article
Date Issued
2011-09-16
Sprache
English
Author(s)
Institut
TORE-URI
Volume
436
Issue
10
Start Page
3864
End Page
3882
Citation
Linear Algebra and Its Applications 10 (436): 3864-3882 (2012)
Publisher DOI
Scopus ID
Publisher
American Elsevier Publ.
In many fields of engineering problems linear time-invariant dynamical systems (LTI systems) play an outstanding role. They result for instance from discretizations of the unsteady heat equation and they are also used in optimal control problems. Often the order of LTI systems is a limiting factor, since it becomes easily very large. As a consequence these systems cannot be treated efficiently without model reduction algorithms. In this paper a new approach for the combination of model order reduction methods and recent multi-level substructuring (MLS) techniques is presented. Similar multi-level substructuring methods have already been applied successfully to huge eigenvalue problems up to several millions of degrees of freedom. However, the presented approach does not make use of a modal analysis like former algorithms. Instead the original system is decomposed in smaller LTI systems which are treated with recent model reduction methods. Furthermore, the error which is induced by this substructuring approach is analysed and numerical examples based on the Oberwolfach benchmark collection are given in this paper.
Subjects
Domain decomposition
Model reduction methods
Multi-level substructuring
DDC Class
510: Mathematik