Volume 16, Issue 4
An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs

XiaoZhang ,  Yangwen Zhang and John R. Singler

Int. J. Numer. Anal. Mod., 16 (2019), pp. 519-542.

Preview Full PDF BiBTex 92 634
  • 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.

  • History

Published online: 2019-02

  • AMS Subject Headings

65N30, 49M25

  • Cited by