A New Error Analysis for a Point Tracking Elliptic Distributed Optimal Control Problem with Pointwise Control Constraints
Numerical Analysis
2026-08-04 v1 Optimization and Control
Abstract
We develop a concise error analysis for a linear-quadratic elliptic distributed optimal control problem with point tracking and pointwise control constraints, where a standard finite element discretization and a variational discretization are treated in a unified framework. The analysis is self-contained modulo standard techniques in finite element analysis and classical results for elliptic partial differential equations.
Cite
@article{arxiv.2608.04281,
title = {A New Error Analysis for a Point Tracking Elliptic Distributed Optimal Control Problem with Pointwise Control Constraints},
author = {Susanne C. Brenner and Li-yeng Sung},
journal= {arXiv preprint arXiv:2608.04281},
year = {2026}
}