In this chapter, we present an introduction to the optimal control of partial differential
equations. After explaining what an optimal control problem is and the goals of the analysis …

Optimal control problems of partial differential equations are studied. Though the focus lies
on elliptic partial differential equations, similar methods can be used for the analysis of …

We analyze the numerical approximation of a control problem governed by a non-monotone
and non-coercive semilinear elliptic equation. The lack of monotonicity and coercivity is due …

In this paper, we investigate virtual element discretization of a semilinear elliptic optimal
control problem with pointwise Neumann boundary control constraint. The virtual element …

This paper studies an optimal control problem governed by a semilinear elliptic equation, in
which the control acts in a multiplicative or bilinear way as the reaction coefficient of the …

Subject of this thesis is the numerical analysis of optimal control problems with linear and
semilinear elliptic partial differential equations in polygonal domains. It is assumed that the …

In this article a special class of nonlinear optimal control problems involving a bilinear term
in the boundary condition is studied. These kind of problems arise for instance in the …

Consider the distributed optimal control problem governed by the von Kármán equations
defined on a polygonal domain of ℝ 2 that describe the deflection of very thin plates with box …

The article examines a linear-quadratic Neumann control problem that is governed by a non-
coercive elliptic equation. Due to the non-self-adjoint nature of the linear control-to-state …

In this paper, we study the virtual element discretization of an elliptic optimal control problem
with pointwise Neumann boundary control constraint. We construct a virtual element discrete …