Optimal Control of Partial Differential Equations (G5214)
15 credits, Level 6
You will be introduced to optimal control problems for partial differential equations. Starting from basic concepts in finite dimensions (existence, optimality conditions, adjoint, Lagrange functional and KKT system) you will study the theory of linear-quadratic elliptic optimal control problems (weak solutions, existence of optimal controls, adjoint operators, necessary optimality conditions, Langrange functional and adjoint as Langrangian multiplier) as well as basic numerical methods for your solution (gradient method, projected gradient method and active set strategy). The extension to semi-linear elliptic control problems will also be considered.
Teaching and assessment
We’re currently reviewing teaching and assessment of our modules in light of the COVID-19 situation. We’ll publish the latest information as soon as possible.
Contact hours and workload
This module is approximately 150 hours of work. This breaks down into about 33 hours of contact time and about 117 hours of independent study. The University may make minor variations to the contact hours for operational reasons, including timetabling requirements.
We’re planning to run this module in the academic year 2020/21. However, there may be changes to this module in response to COVID-19, or due to staff availability, student demand or updates to our curriculum. It may not be possible to take some module combinations due to timetabling constraints. We’ll make sure to let our applicants know of material changes to modules at the earliest opportunity.
This module is offered on the following courses: