@Article{AAMM-10-4, author = {Zhang, Xiao and Zhang, Yangwen and Singler, John}, title = {An EDG Method for Distributed Optimal Control of Elliptic PDEs}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {10}, number = {4}, pages = {797--818}, abstract = {
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, and the optimal control, and suboptimal estimates for the fluxes. We present numerical experiments to confirm our theoretical results.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2017-0223}, url = {https://global-sci.com/article/73201/an-edg-method-for-distributed-optimal-control-of-elliptic-pdes} }