@Article{IJNAM-3-3, author = {}, title = {Global Superconvergence for Optimal Control Problems Governed by Stokes Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2006}, volume = {3}, number = {3}, pages = {283--302}, abstract = {
In this paper, the global superconvergence analysis for the finite element approximation of the distributed optimal control governed by Stokes equations is discussed. For the control, a global superconvergence result is derived by applying patch recovery technique. For the state and the co-state, the global superconvergence results are derived by applying some postprocessing techniques for the bilinear-constant scheme over the uniform rectangular meshes. Based on the global superconvergence analysis, recovery type a posteriori error estimates are derived. It is shown that the recovery type a posteriori error estimators provided in this paper are asymptotically exact if the conditions for the superconvergence are satisfied.
}, issn = {2617-8710}, doi = {https://doi.org/2006-IJNAM-901}, url = {https://global-sci.com/article/83827/global-superconvergence-for-optimal-control-problems-governed-by-stokes-equations} }