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Title:Preconditioners for Generalized Saddle -Point Problems
Author(s):Siefert, Christopher Martin
Doctoral Committee Chair(s):de Sturler, Eric
Department / Program:Computer Science
Discipline:Computer Science
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
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.
Issue Date:2006
Type:Text
Language:English
Description:122 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.
URI:http://hdl.handle.net/2142/81726
Other Identifier(s):(MiAaPQ)AAI3223718
Date Available in IDEALS:2015-09-25
Date Deposited:2006


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