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oai:www.ideals.illinois.edu:2142/83166 2023-07-11 col_2142_5131 col_2142_14770 com_2142_5130 com_2142_3518 com_2142_234

Minsker, Barbara S. Liu, Yong 2015-09-25T21:03:12Z 2015-09-25T21:03:12Z 10000-01-01 2001 2001 This study has also identified the importance of the interaction of PDE discretization and optimization. The bioremediation optimal control model is governed by a set of nonlinear PDEs (the transition equation), which describe the system response under given pumping rates. Since solving the PDEs is only a subproblem within PDE-constrained optimization, it is critical that refining optimization solutions be performed simultaneously with refining the mesh for the PDE. The full multiscale approach developed in this work achieves this goal by using approximate solutions early in the run when a broad search of the decision space is being performed. As the solution becomes more refined later in the run, more accurate estimates are needed to finetune the solution and finer spatial discretizations are used. Made available in DSpace on 2015-09-25T21:03:12Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3023126.pdf: 5521447 bytes, checksum: 431de7d1b58a1e4ce08d844f74907c9e (MD5) Previous issue date: 2001 Embargo set by: Seth Robbins for item 84447 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 140 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001. http://hdl.handle.net/2142/83166 (MiAaPQ)AAI3023126 eng Computer Science Multiscale Approach to Optimal Control of in Situ Bioremediation of Groundwater text Civl and Environmental Engineering Civl and Environmental Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.