TY - JOUR
T1 - Mixed Finite Element Methods for Fourth Order Elliptic Optimal Control Problems
AU - K. Manickam & P. Prakash
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 528
EP - 548
PY - 2016
DA - 2016/09
SN - 9
DO - http://doi.org/10.4208/nmtma.2016.m1405
UR - https://global-sci.org/intro/article_detail/nmtma/12388.html
KW - 
AB - <p style="text-align: justify;">In this paper, a priori error estimates are derived for the mixed finite element discretization of optimal control problems governed by fourth order elliptic partial differential equations. The state and co-state are discretized by Raviart-Thomas mixed finite element spaces and the control variable is approximated by piecewise constant functions. The error estimates derived for the state variable as well as those for the control variable seem to be new. We illustrate with a numerical example to confirm our theoretical results.</p>