Abstract

We propose an embedded discontinuous Galerkin (EDG) method to approximate the solution of a distributed control problem governed by convection diffusion PDEs, and obtain optimal a priori error estimates for the state, dual state, their uxes, and the control. Moreover, we prove the optimize-then-discretize (OD) and discrtize-then-optimize (DO) approaches coincide. Numerical results confirm our theoretical results.

Department(s)

Mathematics and Statistics

Comments

X. Zhang thanks Missouri University of Science and Technology for hosting him as a visiting scholar; some of this work was completed during his research visit. Y. Zhang and J. Singler were supported in part by National Science Foundation grant DMS-1217122. Y. Zhang and J. Singler thank the IMA for funding research visits, during which some of this work was completed.

Keywords and Phrases

Convection diffusion; Discrtize-then-optimize; Distributed optimal control; Embedded discontinuous galerkin method; Error analysis; Optimize-then-discretize

International Standard Serial Number (ISSN)

1705-5105

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

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