34 citations · 178 across the 21 of their papers we have counts for
6 papers · 1 filter
A New Global Divergence Free and Pressure-Robust HDG Method for Tangential Boundary Control of Stokes Equations
Gang Chen, Wei Gong, Mariano Mateos +2
In [ESAIM: M2AN, 54(2020), 2229-2264], we proposed an HDG method to approximate the solution of a tangential boundary control problem for the Stokes equations and obtained an optim…
Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system
Wei Gong, Weiwei Hu, Mariano Mateos +2
We consider an unconstrained tangential Dirichlet boundary control problem for the Stokes equations with an penalty on the boundary control. The contribution of this paper…
A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs I: High Regularity
Weiwei Hu, Mariano Mateos, John R. Singler +1
We propose a new hybridizable discontinuous Galerkin (HDG) method to approximate the solution of a Dirichlet boundary control problem governed by an elliptic convection diffusion P…
A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity
Weiwei Hu, Mariano Mateos, John R. Singler +2
In the first part of this work, we analyzed a Dirichlet boundary control problem for an elliptic convection diffusion PDE and proposed a new hybridizable discontinuous Galerkin (HD…
Error estimates for Dirichlet control problems in polygonal domains
Thomas Apel, Mariano Mateos, Johannes Pfefferer +1
The paper deals with finite element approximations of elliptic Dirichlet boundary control problems posed on two-dimensional polygonal domains. Error estimates are derived for the a…
On the regularity of the solutions of Dirichlet optimal control problems in polygonal domains
Thomas Apel, Mariano Mateos, Johannes Pfefferer +1
A linear quadratic Dirichlet control problem posed on a possibly non-convex polygonal domain is analyzed. Detailed regularity results are provided in classical Sobolev (Slobodetski…