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 -

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.