We consider a distributed optimal control problem governed by an elliptic PDE, and propose an embedded discontinuous Galerkin (EDG) method to approximate the solution. We derive optimal a priori error estimates for the state, dual state, the optimal control, and suboptimal estimates for the fluxes. We present numerical experiments to confirm our theoretical results.
@article{arxiv.1801.02978,
title = {An EDG Method for Distributed Optimal Control of Elliptic PDEs},
author = {Xiao Zhang and Yangwen Zhang and John R. Singler},
journal= {arXiv preprint arXiv:1801.02978},
year = {2018}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1801.00082; text overlap with arXiv:1712.10106, arXiv:1712.01403, arXiv:1712.02931, arXiv:1801.01461