@Article{IJNAM-4-3-4,
author = {Konstantinos, Chrysafinos},
title = {Discontinuous Galerkin Approximations for Distributed Optimal Control Problems Constrained by Parabolic PDE's},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2007},
volume = {4},
number = {3-4},
pages = {690--712},
abstract = {<p style="text-align: justify;">A discontinuous Galerkin finite element method for optimal control
problems having states constrained by linear parabolic PDE&#39;s is examined. The
spacial operator may depend on time and need not be self-adjoint. The schemes
considered here are discontinuous in time but conforming in space. 
Fully-discrete error estimates of arbitrary order are presented and various constants
are tracked. In particular, the estimates are valid for small values of $\alpha$, $\gamma$, where $\alpha$ denotes the penalty parameter of the cost functional and $\gamma$&nbsp; the coercivity
constant. Finally, error estimates for the convection dominated 
convection-diffusion equation are presented, based on a Lagrangian moving mesh approach.</p>},
issn = {2617-8710},
doi = {https://doi.org/2007-IJNAM-884},
url = {https://global-sci.com/article/83804/discontinuous-galerkin-approximations-for-distributed-optimal-control-problems-constrained-by-parabolic-pdes}
}