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 uxes, and the control. Moreover, we prove the optimize-then-discretize (OD) and discrtize-then-optimize (DO) approaches coincide. Numerical results confirm our theoretical results.
X. Zhang et al., "An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs," International Journal of Numerical Analysis and Modeling, vol. 16, no. 4, pp. 519-542, University of Alberta, Oct 2019.
Mathematics and Statistics
Keywords and Phrases
Convection diffusion; Discrtize-then-optimize; Distributed optimal control; Embedded discontinuous galerkin method; Error analysis; Optimize-then-discretize
International Standard Serial Number (ISSN)
Article - Journal