This article deals with error estimates for the finite element approximation of variational
normal derivatives and, as a consequence, error estimates for the finite element …

We prove that the Galerkin finite element solution $ u_h $ of the Laplace equation in a
convex polyhedron $\varOmega $, with a quasi-uniform tetrahedral partition of the domain …

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 …

This paper is concerned with finite element error estimates for Neumann boundary control
problems posed on convex and polyhedral domains. Different discretization concepts are …

The weak maximum principle of the isoparametric finite element method is proved for the
Poisson equation under the Dirichlet boundary condition in a (possibly concave) curvilinear …

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 …

This thesis deals with pointwise error estimates for finite element discretizations of boundary
control problems on general polygonal domains, namely, the Neumann control problem and …

Solving optimization problems with partial differential equations constraints is one of the
most challenging problems in the context of industrial applications. In this paper, we study …