An HDG Method for Distributed Control of Convection Diffusion PDEs
arXiv:1801.0008240 citationsh-index: 16
AI Analysis
Provides rigorous error analysis for a numerical method in PDE-constrained optimization, an incremental contribution to computational mathematics.
The authors propose an HDG method for distributed optimal control of convection-diffusion PDEs and derive optimal a priori error estimates, validated by 2D and 3D numerical experiments.
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.