Accessible Requires Authentication Published by De Gruyter September 1, 2006

Estimating the control error in discretized PDE-constrained optimization

R. Becker
From the journal

In this article we develop an a posteriori error estimator for discretized optimal control problems. We are interested in estimating the error in the control variable, measured in a natural norm. We prove an error representation formula involving only quantities at hand in a second-order optimization iteration, supposing a strong form of second-order sufficient condition. Possible generalization to the control-constrained case is indicated.

Published Online: 2006-09-01
Published in Print: 2006-09-01

Copyright 2006, Walter de Gruyter