Paper
Error Estimates of Variational Discretization for a Class of Optimal Control Problems Governed by Parabolic Equations
- Authors:
- Zuliang Lu
- Abstract
- In this paper we investigate the variational discretization and mixed finite element methods of optimal control problems governed by parabolic equations. The state and co-state are approximated by the lowest order Raviart-Thomas mixed finite elements spaces and the control is approximated by piecewise constant functions. And then we derive a priori error estimates of optimal order both for the coupled state and the control approximation. Finally, a numerical example is given.
- Keywords
- A Priori Error Estimates; Optimal Control Problems; Parabolic Equations; Variational Discretization; Mixed Finite Element Methods
- StartPage
- 33
- EndPage
- 36
- Doi