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University of Illinois at Urbana-Champaign

Solving Buckling Problems and Computing Critical Points Using the Multigrid Method

Abstract

dc:description

The algorithms make use of the eigenmodes of the tangent stiffness operator to create constraints which improve the conditioning of the tangent stiffness operator. The resultant systems are solved using the bordering algorithm and each equation solution is performed using the modified tangent stiffness operator which allows the multigrid method to function properly.

Degree

thesis:*
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
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Ronnau, Andrew
Contributors dc:contributor
  • Parsons, I.D.

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3075590
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/83202

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Ronnau, Andrew. Solving Buckling Problems and Computing Critical Points Using the Multigrid Method. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/83202