TY - JOUR
T1 - A Posteriori Error Estimate of Optimal Control Problem of PDE with Integral Constraint for State
AU - Lei Yuan & Danping Yang
JO - Journal of Computational Mathematics
VL - 4
SP - 525
EP - 542
PY - 2009
DA - 2009/08
SN - 27
DO - http://doi.org/10.4208/jcm.2009.27.4.017
UR - https://global-sci.org/intro/article_detail/jcm/8587.html
KW - State-constrained optimal control problem, Adaptive finite element method,
A posteriori error estimate.
AB - <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>