@Article{AAMM-2-56, author = {Chen , YanpingDai , Li and Lu , Zuliang}, title = {Superconvergence of Rectangular Mixed Finite Element Methods for Constrained Optimal Control Problem}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {1}, pages = {56--75}, abstract = {
We investigate the superconvergence properties of the constrained quadratic elliptic optimal control problem which is solved by using rectangular mixed finite element methods. We use the lowest order Raviart-Thomas mixed finite element spaces to approximate the state and co-state variables and use piecewise constant functions to approximate the control variable. We obtain the superconvergence of $\mathcal{O}(h^{1+s})$ $(0$<$s\leq$<$1)$ for the control variable. Finally, we present two numerical examples to confirm our superconvergence results.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0931}, url = {http://global-sci.org/intro/article_detail/aamm/201.html} }