• Corpus ID: 55355195

# An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs

@article{Zhang2017AnOE,
title={An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs},
author={Xiao Zhang and Yangwen Zhang and John R. Singler},
journal={arXiv: Numerical Analysis},
year={2017}
}
• Published 29 December 2017
• Mathematics
• arXiv: Numerical Analysis
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 fluxes, and the control. Moreover, we prove the optimize-then-discretize (OD) and discrtize-then-optimize (DO) approaches coincide. Numerical results confirm our theoretical results.
2 Citations

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