@Article{JCM-27-525,
author = {Lei Yuan and Danping Yang},
title = {A Posteriori Error Estimate of Optimal Control Problem of PDE with Integral Constraint for State},
journal = {Journal of Computational Mathematics},
year = {2009},
volume = {27},
number = {4},
pages = {525--542},
abstract = {<p style="text-align: justify;">In this paper, we study adaptive finite element discretization schemes for an optimal control problem governed by elliptic PDE with an integral constraint for the state. We derive the equivalent a posteriori error estimator for the finite element approximation, which particularly suits adaptive multi-meshes to capture different singularities of the control and the state. Numerical examples are presented to demonstrate the efficiency of a posteriori error estimator and to confirm the theoretical results.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2009.27.4.017},
url = {http://global-sci.org/intro/article_detail/jcm/8587.html}
}