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

Betcke, TimoTimoBetckeVoß, HeinrichHeinrichVoß2006-02-242006-02-242002-06http://tubdok.tub.tuhh.de/handle/11420/160This 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.enhttp://rightsstatements.org/vocab/InC/1.0/nonlinear eigenvalue problemJacobi-Davidson methodprojection methodRayleigh functionalminmax characterizationMathematikA Jacobi-Davidson-type Projection Method for nonlinear eigenvalue problemsWorking Paper2006-03-01urn:nbn:de:gbv:830-opus-220510.15480/882.158ProjektionsverfahrenNichtlineares EigenwertproblemEigenvalues, eigenvectors11420/16010.15480/882.158930768132Other