Title

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

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