New Error Estimates for An Elliptic Distributed Optimal Control Problem with Pointwise Control Constraints
Susanne C. Brenner, Li-yeng Sung
TL;DR
This paper develops new error estimates for elliptic distributed optimal control problems with pointwise constraints, applicable to various finite element methods, enhancing the understanding of numerical approximation accuracy.
Contribution
It introduces novel error estimates specifically tailored for elliptic optimal control problems with pointwise constraints, applicable to standard and multiscale finite element methods.
Findings
Error estimates applicable to finite element methods
Enhanced understanding of approximation accuracy
Applicable to multiscale finite element methods
Abstract
We derive error estimates for a linear-quadratic elliptic distributed optimal control problem with pointwise control constraints that can be applied to standard finite element methods and multiscale finite element methods.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsOptimization and Variational Analysis · Contact Mechanics and Variational Inequalities · Aerospace Engineering and Control Systems