Transcranial direct current stimulation (tDCS) is a noninvasive brain stimulation technique
which modifies neural excitability by providing weak currents through scalp electrodes. The …

In this paper, we consider an optimal control problem which is governed by a linear
parabolic equation and is subject to state constraints pointwise in time. Optimal order error …

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 article, we study the Dirichlet boundary control problem governed by Poisson
equation, therein the control is penalized in H 1 (Ω) space and various symmetric …

Solutions to optimization problems with pde constraints inherit special properties; the
associated state solves the pde which in the optimization problem takes the role of a equality …

In this article, convergence and quasi-optimal rate of convergence of an Adaptive Finite
Element Method is shown for the Dirichlet boundary control problem that was proposed by …

The main aim of this article is to analyze mixed finite element method for the second order
Dirichlet boundary control problem. We develop both a priori and a posteriori error analysis …

In this paper we propose a new finite element method for solving elliptic optimal control
problems with pointwise state constraints, including the distributed controls and the Dirichlet …

In this article a priori error estimates are derived for the finite element discretization of
optimal distributed control problems governed by the biharmonic operator. The state …

In this article, an abstract framework for the error analysis of discontinuous Galerkin methods
for control constrained optimal control problems is developed. The analysis establishes the …