A Jacobi-Davidson-type projection method for nonlinear eigenvalue problems

Authors:
Timo Betcke;Heinrich Voss
Affiliations:
Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, UK;Department of Mathematics, Technical University of Hamburg-Harburg, D-21071 Hamburg, Germany
Venue:
Future Generation Computer Systems - Special issue: Selected numerical algorithms
Year:
2004

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Abstract

This paper discusses a projection method for nonlinear eigenvalue problems. The subspace of approximants is constructed by a Jacobi-Davidson-type approach, and the arising eigenproblems of small dimension are solved by safeguarded iteration. The method is applied to a rational eigenvalue problem governing the vibrations of tube bundle immersed in an inviscid compressible fluid.