• Abstract

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.

• Keywords

Distributed optimal control, convection diffusion, embedded discontinuous Galerkin method, error analysis, optimize-then-discretize, discrtize-then-optimize.

• AMS Subject Headings

65N30, 49M25

• Copyright

COPYRIGHT: © Global Science Press

• Email address

ywzfg4@mst.edu (Yangwen Zhang)

singlerj@mst.edu (John R. Singler)