Finite element approximations of Dirichlet boundary control problems governed by parabolic
PDEs on convex polygonal domains are studied in this paper. The existence of a unique …

The parabolic Dirichlet boundary control problem and its finite element discretization are
considered in convex polygonal and polyhedral domains. We improve the existing results on …

Phase field modeling finds utility in various areas. In optimization theory in particular, the
distributed control and Neumann boundary control of phase field models have been …

The ill-posedness degree for the controllability of the one-dimensional heat equation by a
Dirichlet boundary control is the purpose of this work. This problem is severely (or …

Establishing a good current spatial profile in tokamak fusion reactors is crucial to effective
steady-state operation. The evolution of the current spatial profile is related to the evolution …

This paper is concerned with the analysis of the finite element approximations of Dirichlet
control problem using boundary penalty method for unsteady Navier− Stokes equations …

In this paper, we consider the finite element approximation to a parabolic Dirichlet boundary
control problem and establish new a priori error estimates. In the temporal semi …

In this paper we study the controllability for the 1D-Heat equation with a Dirichlet boundary
condition, in the presence of a scaleinvariant parameter. First, we construct the scale …

* Correspondence: Email: BaderS. Alshammari@ nbu. edu. sa. Abstract: The objective of
this paper is to describe the problem of boundary optimal control of the reaction-advection …

We derive space-time local a posteriori error estimates of finite element approximations to
Neumann boundary control problems governed by parabolic partial differential equations in …