46 citations · 201 across the 50 of their papers we have counts for
8 papers · 1 filter
Modeling and discretization methods for the numerical simulation of elastic stents
Luka Grubisic, Matko Ljulj, Volker Mehrmann +1
A new model description for the numerical simulation of elastic stents is proposed. Based on the new formulation an inf-sup inequality for the finite element discretization is prov…
Computation of Stability Radii for Large-Scale Dissipative Hamiltonian Systems
Nicat Aliyev, Volker Mehrmann, Emre Mengi
A linear time-invariant dissipative Hamiltonian (DH) system x' = (J-R)Q x, with a skew-Hermitian J, an Hermitian positive semi-definite R, and an Hermitian positive definite Q, is…
A Robust Iterative Scheme for Symmetric Indefinite Systems
Murat Manguoglu, Volker Mehrmann
We propose a two-level nested preconditioned iterative scheme for solving sparse linear systems of equations in which the coefficient matrix is symmetric and indefinite with relati…
Open physical systems: from GENERIC to port-Hamiltonian systems
A. Moses Badlyan, B. Maschke, C. Beattie +1
Formulations of open physical systems within the framework of Non-Equilibrium Reversible/Irreversible Coupling (associated with the acronym "GENERIC") is related in this work with…
Model Reduction for a Pulsed Detonation Combuster via Shifted Proper Orthogonal Decomposition
Philipp Schulze, Julius Reiss, Volker Mehrmann
We propose a new algorithm to compute a shifted proper orthogonal decomposition (sPOD) for systems dominated by multiple transport velocities. The sPOD is a recently proposed mode…
Convergence of the backward Euler scheme for the operator-valued Riccati differential equation with semi-definite data
Monika Eisenmann, Etienne Emmrich, Volker Mehrmann
For initial value problems associated with operator-valued Riccati differential equations posed in the space of Hilbert--Schmidt operators existence of solutions is studied. An exi…
Robust port-Hamiltonian representations of passive systems
Christopher Beattie, Volker Mehrmann, Paul Van Dooren
We discuss the problem of robust representations of stable and passive transfer functions in particular coordinate systems, and focus in particular on the so-called port-Hamiltonia…
Linear algebra properties of dissipative Hamiltonian descriptor systems
Christian Mehl, Volker Mehrmann, Michal Wojtylak
A wide class of matrix pencils connected with dissipative Hamiltonian descriptor systems is investigated. In particular, the following properties are shown: all eigenvalues are in…