We propose a hybridizable discontinuous Galerkin (HDG) method to approximate the solution of a distributed optimal control problem governed by an elliptic convection diffusion PDE. We derive optimal a priori error estimates for the state, adjoint state, their fluxes, and the optimal control. We present 2D and 3D numerical experiments to illustrate our theoretical results.
@article{arxiv.1801.00082,
title = {An HDG Method for Distributed Control of Convection Diffusion PDEs},
author = {Weiwei Hu and Jiguang Shen and John R. Singler and Yangwen Zhang and Xiaobo Zheng},
journal= {arXiv preprint arXiv:1801.00082},
year = {2018}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1712.10106, arXiv:1712.01403, arXiv:1712.02931