Volume 10, Issue 4
An EDG Method for Distributed Optimal Control of Elliptic PDEs

Xiao Zhang ,  Yangwen Zhang and John Singler

10.4208/aamm.OA-2017-0223

Adv. Appl. Math. Mech., 10 (2018), pp. 797-818.

Preview Full PDF BiBTex 4 945
  • Abstract

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.

  • History

Published online: 2018-06

  • Keywords

  • AMS Subject Headings

  • Cited by