@Article{EAJAM-2-2,
author = {},
title = {A Posteriori Error Estimates of Lowest Order Raviart-Thomas Mixed Finite Element Methods for Bilinear Optimal Control Problems},
journal = {East Asian Journal on Applied Mathematics},
year = {2012},
volume = {2},
number = {2},
pages = {108--125},
abstract = {<p style="text-align: justify;">A Raviart-Thomas mixed finite element discretization for general bilinear optimal
control problems is discussed. The state and co-state are approximated by lowest
order Raviart-Thomas mixed finite element spaces, and the control is discretized by
piecewise constant functions. A posteriori error estimates are derived for both the coupled
state and the control solutions, and the error estimators can be used to construct
more efficient adaptive finite element approximations for bilinear optimal control problems.
An adaptive algorithm to guide the mesh refinement is also provided. Finally, we
present a numerical example to demonstrate our theoretical results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.080212.260312a},
url = {https://global-sci.com/article/82841/a-posteriori-error-estimates-of-lowest-order-raviart-thomas-mixed-finite-element-methods-for-bilinear-optimal-control-problems}
}