Optimal Control of Flow and Transport Equations Using Discontinuous Galerkin Methods
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/96195
This thesis analyzes the accuracy of discontinuous Galerkin methods for solving optimal control problems for flow and transport equations. The optimality conditions for each optimal control problem and error estimates for an optimal control problem constrained by a system of steady-state partial differential equations are derived. Synthetic data is used to create numerical examples that verify the methods work. Then the optimality conditions for the optimal control of the miscible displacement equations, where the control is the flow rate of the injection fluid, are derived.
Citable link to this pagehttps://hdl.handle.net/1911/102246
MetadataShow full item record
- CAAM Technical Reports