Article contents
Error Estimates of Mixed Methods for Optimal Control Problems Governed by General Elliptic Equations
Published online by Cambridge University Press: 19 September 2016
Abstract
In this paper, we investigate the error estimates of mixed finite element methods for optimal control problems governed by general elliptic equations. The state and 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 L2 and H–1-error estimates both for the control variable and the state variables. Finally, a numerical example is given to demonstrate the theoretical results.
Keywords
- Type
- Research Article
- Information
- Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 6 , December 2016 , pp. 1050 - 1071
- Copyright
- Copyright © Global-Science Press 2016
References
- 2
- Cited by