# 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} }

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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An HDG method is proposed for a Dirichlet boundary control problem for the Poisson equation, and optimal a priori error estimates for the control are obtained.

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