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Second Order Arnoldi Reduction application to some engineering problems
Citation Link: https://doi.org/10.15480/882.56
Publikationstyp
Preprint
Date Issued
2005-11
Sprache
English
Author(s)
Voß, Heinrich
Institut
TORE-DOI
Number in series
93
A standard approach to model reduction of second order linear dynamical systems is to rewrite the system as an equivalent first order system and then employ Krylov subspace techniques for model reduction. Recently the Second Order Arnoldi Reduction (SOAR) method was presented by Bai and Su which constructs the projection to a second order Krylov subspace thus preserving the structure of the underlying problem. In this paper we demonstrate the superior numerical behavior of the SOAR-algorithm upon the first order methods for four engineering problems from different areas.
Subjects
order reduction
second order Krylov subspace
second order Arnoldi method
DDC Class
510: Mathematik
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