An HDG method for Dirichlet boundary control of convection dominated diffusion PDEs

G Chen, JR Singler, Y Zhang - SIAM Journal on Numerical Analysis, 2019 - SIAM
We first propose a hybridizable discontinuous Galerkin (HDG) method to approximate the
solution of a convection dominated Dirichlet boundary control problem without constraints …

A class of embedded DG methods for Dirichlet boundary control of convection diffusion PDEs

G Chen, G Fu, JR Singler, Y Zhang - Journal of Scientific Computing, 2019 - Springer
We investigated a hybridizable discontinuous Galerkin (HDG) method for a convection
diffusion Dirichlet boundary control problem in our earlier work (Gong et al. SIAM J Numer …

[HTML][HTML] Goal–oriented a posteriori error estimation for Dirichlet boundary control problems

H Yücel - Journal of Computational and Applied Mathematics, 2021 - Elsevier
We study goal-oriented a posteriori error estimates for the numerical approximation of
Dirichlet boundary control problem governed by a convection diffusion equation with …