Can I read A Note on Functional a Posteriori Estimates for Elliptic Optimal Control Problems on EtoBox?

A Note on Functional a Posteriori Estimates for Elliptic Optimal Control Problems by Wolfmayr, Monika is a scholarly article available to read on EtoBox.

What is A Note on Functional a Posteriori Estimates for Elliptic Optimal Control Problems about?

In this work, new theoretical results on functional type a posteriori estimates for elliptic optimal control problems with control constraints are presented. More precisely, we derive new, sharp, guaranteed and fully computable lower bounds for the cost functional in addition to the already existing upper bounds. Using both, the lower and the upper bounds, we arrive at two-sided estimates for the cost functional. We prove that these bounds finally lead to sharp, guaranteed and fully computable upper estimates for the discretization error in the state and the control of the optimal control problem. First numerical tests are presented confirming the efficiency of the a posteriori estimates derived.

Author

Wolfmayr, Monika

Published

2015

Language

EN