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A Jacobi-Davidson-type Projection Method for nonlinear eigenvalue problems
Citation Link: https://doi.org/10.15480/882.158
Publikationstyp
Working Paper
Date Issued
2002-06
Sprache
English
Author(s)
Voß, Heinrich
Institut
TORE-DOI
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.
Subjects
nonlinear eigenvalue problem
Jacobi-Davidson method
projection method
Rayleigh functional
minmax characterization
DDC Class
510: Mathematik
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