Optimal Dirichlet boundary control based on the very weak solution of a parabolic state
equation is analyzed. This approach allows us to consider the boundary controls in L^2 …

In this article, an alternative energy-space based approach is proposed for the Dirichlet
boundary control problem and then a finite-element based numerical method is designed …

In this paper we present a finite element analysis for a Dirichlet boundary control problem
where the Dirichlet control is considered in a convex closed subspace of the energy space …

We apply Robin penalization to Dirichlet optimal control problems governed by semilinear
elliptic equations. Error estimates in terms of the penalization parameter are stated. The …

In the first part of this work, we analyzed an unconstrained Dirichlet boundary control
problem for an elliptic convection diffusion PDE and proposed a new hybridizable …

We begin an investigation of hybridizable discontinuous Galerkin (HDG) methods for
approximating the solution of Dirichlet boundary control problems governed by elliptic PDEs …

The main goal of this paper is to investigate the boundary controllability of some coupled
parabolic systems in the cascade form in the case where the boundary conditions are of …

We study an energy space-based approach for the Dirichlet boundary optimal control
problem governed by the Laplace equation with control constraints. The optimality system …

In this article we discuss the application of boundary element methods for the solution of
Dirichlet boundary control problems subject to the Poisson equation with box constraints on …

We are interested in the optimal control problem of a parabolic equation with no state
constraints, where the quadratic cost functional involves a final observation and the control …