In this article, we motivate, derive, and test effective preconditioners to be used with the
Minres algorithm for solving a number of saddle point systems which arise in PDE …

Saddle point matrices of a special structure arise in optimal control problems. In this paper
we consider distributed optimal control for various types of scalar stationary partial …

The solution of time-dependent PDE-constrained optimization problems is a challenging
task in numerical analysis and applied mathematics. All-at-once discretizations and …

In this manuscript, we describe effective solvers for the optimal control of stabilized
convection-diffusion problems. We employ the local projection stabilization, which we show …

We study the modeling and simulation of gas pipeline networks, with a focus on fast
numerical methods for the simulation of transient dynamics. The obtained mathematical …

PDE-constrained optimization aims at finding optimal setups for partial differential equations
so that relevant quantities are minimized. Including nonsmooth L 1 sparsity promoting terms …

PDE-constrained optimization problems have a wide range of applications, but they lead to
very large and ill-conditioned linear systems, especially if the problems are time dependent …

PDE-constrained optimization problems are a class of problems which have attracted much
recent attention in scientific computing and applied science. In this paper we discuss …

We propose an unconstrained optimization method based on the well-known primal-dual
hybrid gradient (PDHG) algorithm. We first formulate the optimality condition of the …

In this article, we apply the theory of meshfree methods to the problem of PDE-constrained
optimization. We derive new collocation-type methods to solve the distributed control …