@Article{IJNAM-16-519,
author = {Xiao Zhang , and Zhang , Yangwen and Singler , John R. },
title = {An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2019},
volume = {16},
number = {4},
pages = {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 discrtize-then-optimize (DO) approaches coincide.
Numerical results confirm our theoretical results.
},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/13013.html}
}
TY - JOUR
T1 - An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs
AU - Xiao Zhang ,
AU - Zhang , Yangwen
AU - Singler , John R.
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 519
EP - 542
PY - 2019
DA - 2019/02
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/13013.html
KW - Distributed optimal control, convection diffusion, embedded discontinuous Galerkin method, error analysis, optimize-then-discretize, discrtize-then-optimize.
AB -
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.
Xiao Zhang, Yangwen Zhang & John R. Singler. (2019). An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs.
International Journal of Numerical Analysis and Modeling. 16 (4).
519-542.
doi:
