Studying efficient algorithms for optimization problems with PDE constraints

Harbir Antil, professor, Mathematical Sciences; Director, Center for Mathematics and Artificial Intelligence (CMAI), received funding for the project: “Efficient Algorithms for Optimization Problems with PDE Constraints.” 

Antil and his collaborators are examining generic optimization problems constrained by partial differential equations (PDEs) with or without uncertainty. In case of uncertainty, a risk-averse optimization framework will be developed. Decomposition and Compression techniques will be utilized to overcome the high computational costs. Several applications in various disciplines such as structural-, fluid-, electro-, thermos-, dynamics will be considered. 

Antil received $1,330,506 from the Office of Naval Research for this project. Funding began in Feb. 2024 and will end in late Jan. 2029.