@Article{AAMM-4-6,
author = {Yanping, Chen and Tianliang, Hou and Zheng, Weishan},
title = {Error Estimates and Superconvergence of Mixed Finite Element Methods for Optimal Control Problems with Low Regularity},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2012},
volume = {4},
number = {6},
pages = {751--768},
abstract = {<p style="text-align: justify;">In this paper, we investigate the error estimates and
superconvergence property of mixed finite element methods for
elliptic optimal control problems. 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 $L^\infty$-error
estimates for the control variable. Moreover, using a recovery
operator, we also derive some superconvergence results for the
control variable. Finally, a numerical example is given to
demonstrate the theoretical results.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.12-12S05},
url = {https://global-sci.com/article/73570/error-estimates-and-superconvergence-of-mixed-finite-element-methods-for-optimal-control-problems-with-low-regularity}
}