@Article{NMTMA-4-180,
author = {Kang Deng, Yanping Chen and Zuliang Lu},
title = {Higher Order Triangular Mixed Finite Element Methods for Semilinear Quadratic Optimal Control Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2011},
volume = {4},
number = {2},
pages = {180--196},
abstract = {<p style="text-align: justify;">In this paper, we investigate a priori error estimates for the
quadratic optimal control problems governed by semilinear elliptic
partial differential equations using higher order triangular mixed
finite element methods. The state and the co-state are approximated
by the order $k$ Raviart-Thomas mixed finite element spaces and the
control is approximated by piecewise polynomials of order $k$ ($k\geq 0$). A priori error estimates for the mixed finite element
approximation of semilinear control problems are obtained. Finally,
we present some numerical examples which confirm our theoretical
results.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2011.42s.4},
url = {http://global-sci.org/intro/article_detail/nmtma/5964.html}
}