Solving Buckling Problems and Computing Critical Points Using the Multigrid Method
Ronnau, Andrew
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Permalink
https://hdl.handle.net/2142/83202
Description
Title
Solving Buckling Problems and Computing Critical Points Using the Multigrid Method
Author(s)
Ronnau, Andrew
Issue Date
2001
Doctoral Committee Chair(s)
Parsons, I.D.
Department of Study
Civil Engineering
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Civil
Language
eng
Abstract
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.
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