@Article{JCM-27-4, author = {}, 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 = {
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.
}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.27.4.017}, url = {https://global-sci.com/article/84883/a-posteriori-error-estimate-of-optimal-control-problem-of-pde-with-integral-constraint-for-state} }