Pontryagin maximum principle based algorithms for non-smooth optimal control problems subject to partial differential equations

• Applicant: Professor Dr. Daniel Wachsmuth
• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 565876882

The aim of the project is to develop and analyze a numerical algorithm to solve optimal control problems with non-convex and non-smooth cost functionals. The algorithm will be based on the Pontryagin maximum principle. We want to prove convergence of the algorithm in the sense that the residual in the maximum principle tends to zero. In addition, we are interested in proving convergence rates under suitable assumptions.

• DFG Programme: Research Grants