Maximum-norm a posteriori error estimates for an optimal control problem
arXiv:1711.067075 citationsh-index: 23
AI Analysis
Provides a reliable and efficient error estimation method for adaptive finite element solutions of optimal control problems, but is incremental in nature.
The paper develops a max-norm a posteriori error estimator for a control-constrained optimal control problem, achieving optimal convergence rates in adaptive computations.
We analyze a reliable and efficient max-norm a posteriori error estimator for a control-constrained, linear-quadratic optimal control problem. The estimator yields optimal experimental rates of convergence within an adaptive loop.