Multiscale Approach to Optimal Control of in Situ Bioremediation of Groundwater

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Civl and Environmental Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Liu, Yong

Contributors dc:contributor

• Minsker, Barbara S.

• Computer Science

Language dc:language

eng

Identifier

(MiAaPQ)AAI3023126

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/83166