Article ID Journal Published Year Pages File Type
4638426 Journal of Computational and Applied Mathematics 2015 14 Pages PDF
Abstract

In this paper, we investigate the superconvergence property of the numerical solution of a quadratic parabolic optimal control problem by using fully discrete mixed finite element methods. The space discretization of the state variable is done using usual mixed finite elements, whereas the time discretization is based on difference methods. The state and the co-state are approximated by the lowest order Raviart–Thomas mixed finite element spaces and the control variable is approximated by piecewise constant functions. We derive the superconvergence results for the control and the state approximation. Some numerical examples are presented to confirm the theoretical investigations.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, ,