An optimal control problem for a 2-d elliptic equation is investigated with pointwise control constraints. This paper is concerned with the discretization of the control by piecewise linear functions. The state and the adjoint state are discretized by linear finite elements. Approximation of order $h$ in the $L^\infty$-norm is proved in the main result. The theoretical result is confirmed by a numerical test
In the present work, we apply semi-discretization proposed by the first author in [13] to Lavrentiev...
© 2017, Allerton Press, Inc.We study an optimal control problem of a system governed by a linear ell...
In this paper a class of semilinear elliptic optimal control problem with pointwise state and contro...
Abstract. An optimal control problem for 2-d and 3-d elliptic equations is investigated with pointwi...
An abstract linear-quadratic optimal control problem is investigated with pointwise control constrai...
We consider a linear-quadratic elliptic optimal control problem with pointwise state constraints. T...
The discretization of control functions by piecewise constant and piecewise linear functions is cons...
We consider the finite-element approximation of a distributed optimal control problem governed by a ...
A general class of nonlinear infinite dimensional optimization problems is considered that covers s...
The finite element approximation of optimal control problems for semilinear elliptic partial differe...
Abstract. An optimal control problem for an elliptic equation is investigated with pointwise control...
Abstract. We study the numerical approximation of boundary optimal control problems gov-erned by sem...
We derive a priori error estimates for linear-quadratic elliptic optimal control problems with point...
This paper deals with a class ofoptimal control problems governed by elliptic equations with nonline...
In this paper a class of semilinear elliptic optimal control problem with pointwise state and contro...
In the present work, we apply semi-discretization proposed by the first author in [13] to Lavrentiev...
© 2017, Allerton Press, Inc.We study an optimal control problem of a system governed by a linear ell...
In this paper a class of semilinear elliptic optimal control problem with pointwise state and contro...
Abstract. An optimal control problem for 2-d and 3-d elliptic equations is investigated with pointwi...
An abstract linear-quadratic optimal control problem is investigated with pointwise control constrai...
We consider a linear-quadratic elliptic optimal control problem with pointwise state constraints. T...
The discretization of control functions by piecewise constant and piecewise linear functions is cons...
We consider the finite-element approximation of a distributed optimal control problem governed by a ...
A general class of nonlinear infinite dimensional optimization problems is considered that covers s...
The finite element approximation of optimal control problems for semilinear elliptic partial differe...
Abstract. An optimal control problem for an elliptic equation is investigated with pointwise control...
Abstract. We study the numerical approximation of boundary optimal control problems gov-erned by sem...
We derive a priori error estimates for linear-quadratic elliptic optimal control problems with point...
This paper deals with a class ofoptimal control problems governed by elliptic equations with nonline...
In this paper a class of semilinear elliptic optimal control problem with pointwise state and contro...
In the present work, we apply semi-discretization proposed by the first author in [13] to Lavrentiev...
© 2017, Allerton Press, Inc.We study an optimal control problem of a system governed by a linear ell...
In this paper a class of semilinear elliptic optimal control problem with pointwise state and contro...