Mathematics and Natural Sciences
In this paper, we present a priori error analysis of a hybridizable discontinuous Galerkin (HDG) method for a distributed optimal control problem governed by diffusion equations. The error estimates are established based on the projection-based approach recently used to analyze these methods for the diffusion equation. We proved that for approximations of degree k on conforming meshes, the orders of convergence of the approximation to fluxes and scalar variables are k+1 when the local stabilization parameter is suitably chosen.
Journal of Computational and Applied Mathematics
(2016). Error Analysis of an HDG Method for a Distributed Optimal. Journal of Computational and Applied Mathematics, 307, 2-12.
Available at: https://aquila.usm.edu/fac_pubs/15352