Publisher DOI: 10.1016/j.laa.2011.02.040
Title: Multi-level substructuring combined with model order reduction methods
Language: English
Authors: Blömeling, Frank 
Keywords: Domain decomposition; Model reduction methods; Multi-level substructuring
Issue Date: 16-Sep-2011
Publisher: American Elsevier Publ.
Source: Linear Algebra and Its Applications 10 (436): 3864-3882 (2012)
Abstract (english): 
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.
ISSN: 0024-3795
Institute: Mathematik E-10 
Document Type: Article
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