@Article{NMTMA-5-602, author = {Ming Cui and Ningning Yan}, title = {Residual Based a Posteriori Error Estimates for Convex Optimal Control Problems Governed by Stokes-Darcy Equations}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2012}, volume = {5}, number = {4}, pages = {602--634}, abstract = {
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.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2012.m1113}, url = {http://global-sci.org/intro/article_detail/nmtma/5952.html} }