An Edg Method for Distributed Optimal Control of Elliptic Pdes

Author

Xiao Zhang
Yangwen Zhang
John R. Singler, Missouri University of Science and TechnologyFollow

Abstract

We consider a distributed optimal control problem governed by an elliptic PDE, and propose an embedded discontinuous Galerkin (EDG) method to approximate the solution. We derive optimal a priori error estimates for the state, dual state, and the optimal control, and suboptimal estimates for the fluxes. We present numerical experiments to confirm our theoretical results.

Recommended Citation

X. Zhang et al., "An Edg Method for Distributed Optimal Control of Elliptic Pdes," Advances in Applied Mathematics and Mechanics, vol. 10, no. 4, pp. 797 - 818, Global Science Press, Jan 2018.

The definitive version is available at https://doi.org/10.4208/aamm.OA-2017-0223

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant DMS-1217122

Keywords and Phrases

Distributed optimal control; Elliptic PDEs; Embedded discontinuous Galerkinmethod; Error analysis

International Standard Serial Number (ISSN)

2075-1354; 2070-0733

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Global Science Press, All rights reserved.

Publication Date

01 Jan 2018