A Jacobi-Davidson-type Projection Method for nonlinear eigenvalue problems

Publikationstyp
Working Paper
Publikationsdatum
2002-06
Sprache
English
Author
Betcke, Timo 
Voß, Heinrich 
Institut
Mathematik E-10 
DOI
10.15480/882.158
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/160
Lizenz
http://rightsstatements.org/vocab/InC/1.0/
First published in
Preprints des Institutes für Mathematik 
Number in series
47
This article discusses a projection method for nonlinear eigenvalue problems. The ansatz space is constructed by a Jacobi-Davidson type approach, and the arising eigenproblems of small dimension are solved by safeguarded inverse iteration. The method is applied to a rational eigenvalue problem governing the vibrations of tube bundle immersed in an inviscid compressible fluid.
Schlagworte
nonlinear eigenvalue problem
Jacobi-Davidson method
projection method
Rayleigh functional
minmax characterization
DDC Class
510: Mathematik