Work

A One Dimensional Elliptic Distributed Optimal Control Problem with Pointwise Derivative Constraints

Year: 2020

Type: article

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 C1 finite element method, and present the error analysis together with numerical results.

Source: Numerical Functional Analysis and Optimization

DOI: 10.1080/01630563.2020.1785495

Authors: Susanne C. Brenner, Li-yeng Sung, Winnifried Wollner

Institutions: Louisiana State University, Technische Universität Darmstadt

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Universiteit Stellenbosch

Award: G7902314062