Optimal control of PDE-constrained systems

Lasse Hjuler Christiansen: Science, engineering, economics and industry express an increasing demand for numerical methods and software to efficiently solve optimization problems for which the underlying system is described by partial differential equations (PDEs). The PhD project ” Optimal Control of PDE- constrained Systems ” seeks to combine functional analysis, numerical optimization, solution of PDEs, and High Performance Computing (HPC) in order to address this challenge.

The overall purpose of the project is to explore and develop state-of- the-art mathematical methods, which contribute to ensure fast, efficient and robust optimizers of practical relevance. The main focus will be to address the computational difficulties associated with advanced large-scale non-linear model predictive control (NMPC), e.g. oil reservoir management.

The possible outcome of the project will include novel methodology and state-of-the-art algorithms that are relevant for large scale NMPC. The project contributes to the scientific basis that will enable industrial engineering applications that were previously considered computationally intractable.

PhD project title: Optimal Control of PDE-Constrained Systems

Effective start/end date 15/09/2015 → 09/02/2019

Supervisors: John Bagterp Jørgensen, Michael Pedersen, Allan Engsig-Karup

Research section: Section for Scientific Computing

 

Contact

John Bagterp Jørgensen
Professor
DTU Compute
+45 45 25 30 88

Contact

Michael Pedersen
Professor, Head of section
DTU Compute
+45 45 25 30 12

Contact

Allan Peter Engsig-Karup
Associate professor
DTU Compute
+45 45 25 30 73