TY - JOUR
T1 - Residual Based a Posteriori Error Estimates for Convex Optimal Control Problems Governed by Stokes-Darcy Equations
AU - Ming Cui & Ningning Yan
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 602
EP - 634
PY - 2012
DA - 2012/05
SN - 5
DO - http://doi.org/10.4208/nmtma.2012.m1113
UR - https://global-sci.org/intro/article_detail/nmtma/5952.html
KW - Optimal control, Stokes-Darcy equations, a posteriori error estimate.
AB - <p style="text-align: justify;">In this paper, we derive a posteriori error estimates for finite element approximations of the optimal control problems governed by the Stokes-Darcy system. We obtain a posteriori error estimators for both the state and the control based on the residual of the finite element approximation. It is proved that the a posteriori error estimate provided in this paper is both reliable and efficient.</p>