The proximal Galerkin finite element method is a high-order, low iteration complexity,
nonlinear numerical method that preserves the geometric and algebraic structure of …

This thesis is concerned with the numerical analysis of sparse control problems for elliptic
and parabolic state equations. A focus is set on controls which are measures in space …

We discuss the full discretization of an elliptic optimal control problem with pointwise control
and state constraints. We provide the first reliable a-posteriori error estimator that contains …

This article is concerned with the derivation of a posteriori error estimates for optimization
problems subject to an obstacle problem. To circumvent the nondifferentiability inherent to …

We study C 0 interior penalty methods for an elliptic optimal control problem with pointwise
state constraints on two dimensional convex polygonal domains. The approximation of the …

An adjustment scheme for the relaxation parameter of interior point approaches to the
numerical solution of pointwise state constrained elliptic optimal control problems is …

In this paper we consider a posteriori error estimates for space-time finite element
discretizations for optimal control of hyperbolic partial dierential equations of second order. It …

This article surveys recent developments in the adaptive numerical solution of optimal
control problems governed by partial differential equations (PDE). By the Euler‐Lagrange …

We derive primal-dual weighted goal-oriented a posteriori error estimates for pointwise state
constrained optimal control problems for second order elliptic partial differential equations …

P1 finite element methods for an elliptic state-constrained distributed optimal control problem
with Neumann boundary conditions - ScienceDirect Skip to main contentSkip to article …