We consider the discretization and subsequent model reduction of a system of partial
differential-algebraic equations describing the propagation of pressure waves in a pipeline …

In this paper we propose a novel approach to discretize linear port-Hamiltonian systems
while preserving the underlying structure. We present a finite element exterior calculus …

We consider the design of structure-preserving discretization methods for the solution of
systems of boundary controlled Partial Differential Equations (PDEs) thanks to the port …

We discuss a Krylov subspace projection method for model reduction of a special class of
quadratic‐bilinear descriptor systems. The goal is to extend the two‐sided moment …

We provide spatial discretizations of nonlinear incompressible Navier-Stokes equations with
inputs and outputs in the form of matrices ready to use in any numerical linear algebra …

This thesis is devoted to the application and analysis of time integration schemes for
differential-algebraic equations (DAEs) stated in (abstract) Banach spaces. The existence …

As a first step towards time-stepping schemes for constrained PDE systems, this paper
presents convergence results for the temporal discretization of operator DAEs. We consider …

In this contribution, port-Hamiltonian systems with non-homogeneous mixed boundary
conditions are discretized in a structure-preserving fashion by means of the Partitioned FEM …

We study the numerical approximation of the boundary stabilization of the Navier--Stokes
equations with mixed Dirichlet/Neumann boundary conditions, around an unstable …

In this thesis we study structure-preserving model reduction methods for the efficient and
reliable approximation of dynamical systems. A major focus is the approximation of a …