46 citations · 201 across the 50 of their papers we have counts for
6 papers · 1 filter
Port-Hamiltonian formulations of poroelastic network models
Robert Altmann, Volker Mehrmann, Benjamin Unger
We investigate an energy-based formulation of the two-field poroelasticity model and the related multiple-network model as they appear in geosciences or medical applications. We pr…
A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers
Murat Manguoglu, Volker Mehrmann
We propose a two-level iterative scheme for solving general sparse linear systems. The proposed scheme consists of a sparse preconditioner that increases the skew-symmetric part an…
Stability Assessment of Stochastic Differential-Algebraic Systems via Lyapunov Exponents with an Application to Power Systems
Andrés González-Zumba, Pedro Fernández-de-Córdoba, Juan-Carlos Cortés +1
In this paper we discuss Stochastic Differential-Algebraic Equations (SDAEs) and the asymptotic stability assessment for such systems via Lyapunov exponents (LEs). We focus on inde…
Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems
Volker Mehrmann, Paul Van Dooren
When computing the eigenstructure of matrix pencils associated with the passivity analysis of perturbed port-Hamiltonian descriptor system using a structured generalized eigenvalue…
Model order reduction for parametric high dimensional models in the analysis of financial risk
Andreas Binder, Onkar Jadhav, Volker Mehrmann
This paper presents a model order reduction (MOR) approach for high dimensional problems in the analysis of financial risk. To understand the financial risks and possible outcomes,…
Distance problems for dissipative Hamiltonian systems and related matrix polynomials
Christian Mehl, Volker Mehrmann, Michal Wojtylak
We study the characterization of several distance problems for linear differential-algebraic systems with dissipative Hamiltonian structure. Since all models are only approximation…