Preconditioners for Generalized Saddle -Point Problems

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Computer Science

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Siefert, Christopher Martin

Contributors dc:contributor

• de Sturler, Eric

• Mathematics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3223718

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/81726