A New A Posteriori Error Estimates for Optimal Control Problems Governed by Parabolic Integro-Differential Equations
摘要
Abstract
In this paper, we provide a new a posteriori error analysis for linear finite element approximation of a parabolic integro-differential optimal control problem. The state and co-state are approximated by piecewise linear functions, while the control variable is discretized by variational discretization method. We first define the elliptic reconstructions of numerical solutions and then discuss a posteriori error estimates for all variables.