Multilevel solution procedures for structural dynamics eigenvalue problems

Three multigrid algorithms are described that can solve the symmetric generalized eigenvalue problem encountered in structural dynamics. First, the multigrid algorithm for solving linear matrix equations is incorporated into the subspace iteration and block Lanczos methods to produce implicit subspace and Lanczos multigrid methods. The nested iteration technique is adopted to produce the initial trial vectors. Second, the basic multigrid idea of fine mesh relaxation followed by a coarse mesh correction is explicitly applied to the eigenvalue problem to produce an explicit multigrid method. The nested iteration technique is also used to provide information on the coarse meshes and to produce good initial approximations to the fine mesh eigensolutions.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Civil Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Hwang, Tsanhuei

Contributors dc:contributor

• Parsons, I. Dennis

• Engineering, Civil
• Computer Science

Statement dc:rights

• Copyright 1991 Hwang, Tsanhuei

Language dc:language

eng

Identifier

AAI9210846
(UMI)AAI9210846

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/21020