A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints
Document Type
Article
Publication Date
10-2-2020
Abstract
We consider a one dimensional elliptic distributed optimal control problem with pointwise constraints on the derivative of the state. By exploiting the variational inequality satisfied by the derivative of the optimal state, we obtain higher regularity for the optimal state under appropriate assumptions on the data. We also solve the optimal control problem as a fourth order variational inequality by a C finite element method, and present the error analysis together with numerical results. 1
Publication Source (Journal or Book title)
Numerical Functional Analysis and Optimization
First Page
1549
Last Page
1563
Recommended Citation
Brenner, S., Sung, L., & Wollner, W. (2020). A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints. Numerical Functional Analysis and Optimization, 41 (13), 1549-1563. https://doi.org/10.1080/01630563.2020.1785495