Preconditioners for Generalized Saddle -Point Problems
Siefert, Christopher Martin
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https://hdl.handle.net/2142/81726
Description
Title
Preconditioners for Generalized Saddle -Point Problems
Author(s)
Siefert, Christopher Martin
Issue Date
2006
Doctoral Committee Chair(s)
de Sturler, Eric
Department of Study
Computer Science
Discipline
Computer Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
For these applications, we present results illustrating the eigenvalue bounds on our preconditioners and demonstrating the theoretical justification of these methods. We also present convergence and timing results, showing the effectiveness of our methods in practice. Specifically the use of probing methods for approximating the Schur compliment matrices in our preconditioners is empirically justified. We also investigate the h-dependence of our preconditioners one model fluid problem, and demonstrate empirically that our methods do not suffer from a deterioration in convergence as the problem size increases.
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