High-accuracy finite element method for optimal control problem. (English) Zbl 0983.49022

Summary: This paper aims to present a high accuracy approximation and superconvergence for the distributed convex optimal control problem. In the basis of integral identity technique, we discuss the superconvergence of the rectangular finite element and the uniform triangular finite element method for the optimal control problem. Using interpolation post-processing technique, we construct a high accuracy finite element approximation scheme. Numerical examples demonstrating these results are also presented.


49M25 Discrete approximations in optimal control
65K10 Numerical optimization and variational techniques