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Description
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 |
This item appears in the following Collection(s)
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Dissertations and Theses - Computer Science
Dissertations and Theses from the Dept. of Computer Science -
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois