An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs
Year: 2019
Author: Xiao Zhang, Yangwen Zhang, John R. Singler
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 4 : pp. 519–542
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 discretize-then-optimize (DO) approaches coincide. Numerical results confirm our theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-IJNAM-13013
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 4 : pp. 519–542
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Distributed optimal control convection diffusion embedded discontinuous Galerkin method error analysis optimize-then-discretize discretize-then-optimize.
Author Details
Xiao Zhang Email
Yangwen Zhang Email
John R. Singler Email