• 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}
}
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. 
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