A Galerkin Approach to the Generalized Karush-Kuhn-Tucker Conditions for the Solution of an Elliptic Distributed Optimal Control Problem with Pointwise State and Control Constraints
Document Type
Article
Publication Date
1-1-2025
Abstract
We develop a convergence analysis for the simplest finite element method for a model linear-quadratic elliptic distributed optimal control problem with pointwise control and state constraints under minimal assumptions on the constraint functions. We then derive the generalized Karush-Kuhn-Tucker conditions for the solution of the optimal control problem from the convergence results of the finite element method and the Karush-Kuhn-Tucker conditions for the solutions of the discrete problems.
Publication Source (Journal or Book title)
Computational Methods in Applied Mathematics
Recommended Citation
Brenner, S., & Sung, L. (2025). A Galerkin Approach to the Generalized Karush-Kuhn-Tucker Conditions for the Solution of an Elliptic Distributed Optimal Control Problem with Pointwise State and Control Constraints. Computational Methods in Applied Mathematics https://doi.org/10.1515/cmam-2025-0007