TY - JOUR T1 - An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs AU - Zhang , Xiao AU - Zhang , Yangwen AU - Singler , John R. JO - International Journal of Numerical Analysis and Modeling VL - 4 SP - 519 EP - 542 PY - 2019 DA - 2019/02 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/13013.html KW - Distributed optimal control, convection diffusion, embedded discontinuous Galerkin method, error analysis, optimize-then-discretize, discretize-then-optimize. AB -

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 discretize-then-optimize (DO) approaches coincide. Numerical results confirm our theoretical results.