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

XIAO ZHANG, Yangwen Zhang & John R. Singler


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

Published online: 2019-02

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  • 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)

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