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oai:www.ideals.illinois.edu:2142/81726 2023-07-11 col_2142_5131 col_2142_10761 com_2142_5130 com_2142_10755 com_2142_234

de Sturler, Eric Siefert, Christopher Martin 2015-09-25T20:20:10Z 2015-09-25T20:20:10Z 10000-01-01 2006 2006 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. Made available in DSpace on 2015-09-25T20:20:10Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3223718.pdf: 2659995 bytes, checksum: 665dc07b75e06219d2415d7c6284c073 (MD5) Previous issue date: 2006 Embargo set by: Seth Robbins for item 83007 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 122 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006. http://hdl.handle.net/2142/81726 (MiAaPQ)AAI3223718 eng Mathematics Preconditioners for Generalized Saddle -Point Problems text Computer Science Computer Science University of Illinois at Urbana-Champaign Dissertation Ph.D.