An EDG Method for Distributed Optimal Control of Elliptic PDEs
arXiv:1801.02978
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, the optimal control, and suboptimal estimates for the fluxes. We present numerical experiments to confirm our theoretical results.
arXiv commentarXiv admin note: substantial text overlap with arXiv:1801.00082; text overlap with arXiv:1712.10106, arXiv:1712.01403, arXiv:1712.02931, arXiv:1801.01461