TY - JOUR T1 - An EDG Method for Distributed Optimal Control of Elliptic PDEs AU - Zhang , Xiao AU - Zhang , Yangwen AU - Singler , John JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 797 EP - 818 PY - 2018 DA - 2018/06 SN - 10 DO - http://doi.org/10.4208/aamm.OA-2017-0223 UR - https://global-sci.org/intro/article_detail/aamm/12496.html KW - Distributed optimal control, elliptic PDEs, embedded discontinuous Galerkin method, error analysis. AB -

We consider a distributed optimal control problem governed by an elliptic PDE, and propose an embedded discontinuous Galerkin (EDG) method to approximate the solution. We derive optimal a priori error estimates for the state, dual state, and the optimal control, and suboptimal estimates for the fluxes. We present numerical experiments to confirm our theoretical results.