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 - <p style="text-align: justify;">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.</p>