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

被引：68

作者：

Betcke, T

Voss, H ^{[1
]}

机构：

[1] Tech Univ Hamburg, Dept Math, D-21071 Hamburg, Germany

[2] Univ Oxford, Comp Lab, Oxford OX1 3QD, England

来源：

FUTURE GENERATION COMPUTER SYSTEMS-THE INTERNATIONAL JOURNAL OF ESCIENCE | 2004年 / 20卷 / 03期

关键词：

nonlinear eigenvalue problem; Jacobi-Davidson method; projection method; Rayleigh functional; minmax characterization;

D O I：

10.1016/j.future.2003.07.003

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：363 / 372

页数：10

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