TY - JOUR
T1 - A Posteriori Error Estimates of Triangular Mixed Finite Element Methods for Semilinear Optimal Control Problems
AU - Lu , Zuliang
AU - Chen , Yanping
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 242
EP - 256
PY - 2009
DA - 2009/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aamm/8367.html
KW - Semilinear optimal control problems, mixed finite element methods, a posteriori
error estimates.
AB - <p style="text-align: justify;">In this paper, we present an a posteriori error estimates of semilinear
quadratic constrained optimal control problems using triangular mixed finite element
methods. The state and co-state are approximated by the order $k\leq 1$ Raviart-
Thomas mixed finite element spaces and the control is approximated by piecewise
constant element. We derive a posteriori error estimates for the coupled state and
control approximations. A numerical example is presented in confirmation of the
theory.</p>