A numerical solution approach for non-smooth optimal control problems based on the Pontryagin maximum principle
Year: 2024
Type: preprint
Abstract: We consider nonsmooth optimal control problems subject to a linear elliptic partial differential equation with homogeneous Dirichlet boundary conditions. It is well-known that local solutions satisfy the celebrated Pontryagin maximum principle. In this note, we will investigate an optimization method that is based on the maximum principle. We prove that the discrepancy in the maximum principle vanishes along the resulting sequence of iterates. Numerical experiments confirm the theoretical findings.
Source: arXiv (Cornell University)
Author: Wachsmuth, Daniel
Institution: University of Würzburg
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funder: Deutsche Forschungsgemeinschaft
Award: G188083318
OpenAlex ID: W4400163174