@Article{AAMM-8-1050,
author = {Hou , Tianliang and Li , Li},
title = {Error Estimates of Mixed Methods for Optimal Control Problems Governed by General Elliptic Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {8},
number = {6},
pages = {1050--1071},
abstract = {<p style="text-align: justify;">In this paper, we investigate the error estimates of mixed finite element
methods for optimal control problems governed by general elliptic equations. The
state and co-state are approximated by the lowest order Raviart-Thomas mixed finite
element spaces and the control variable is approximated by piecewise constant functions.
We derive $L^2$ and $H^{-1}$-error estimates both for the control variable and the state
variables. Finally, a numerical example is given to demonstrate the theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m807},
url = {http://global-sci.org/intro/article_detail/aamm/12131.html}
}