51 citations · 131 across the 11 of their papers we have counts for
13 papers
Three-term recurrence iterations for energy-based models
R. Altmann, J. Ramme, P. Schulze
It is well-known that the midpoint rule preserves the dissipation inequality if applied to a certain class of energy-based models. We introduce an appropriate scaling of the state…
Structure-Preserving Model Reduction for Port-Hamiltonian Systems Based on a Special Class of Nonlinear Approximation Ansatzes
Philipp Schulze
We discuss structure-preserving model order reduction for port-Hamiltonian systems based on an approximation of the full-order state by a linear combination of ansatz functions whi…
Hierarchical modeling for an industrial implementation of a Digital Twin for electrical drives
Karim Cherifi, Philipp Schulze, Volker Mehrmann +2
Digital twins have become popular for their ability to monitor and optimize a process or a machine, ideally through its complete life cycle using simulations and sensor data. In th…
Structure-Preserving Linear Quadratic Gaussian Balanced Truncation for Port-Hamiltonian Descriptor Systems
Tobias Breiten, Philipp Schulze
We present a new balancing-based structure-preserving model reduction technique for linear port-Hamiltonian descriptor systems. The proposed method relies on a modification of a se…
Decomposition of flow data via gradient-based transport optimization
Felix Black, Philipp Schulze, Benjamin Unger
We study an optimization problem related to the approximation of given data by a linear combination of transformed modes. In the simplest case, the optimization problem reduces to…
Efficient Wildland Fire Simulation via Nonlinear Model Order Reduction
Felix Black, Philipp Schulze, Benjamin Unger
We propose a new hyper-reduction method for a recently introduced nonlinear model reduction framework based on dynamically transformed basis functions and especially well-suited fo…
Error bounds for port-Hamiltonian model and controller reduction based on system balancing
Tobias Breiten, Riccardo Morandin, Philipp Schulze
We study linear quadratic Gaussian (LQG) control design for linear port-Hamiltonian systems. To this end, we exploit the freedom in choosing the weighting matrices and propose a sp…
Projection-Based Model Reduction with Dynamically Transformed Modes
Felix Black, Philipp Schulze, Benjamin Unger
We propose a new model reduction framework for problems that exhibit transport phenomena. As in the moving finite element method (MFEM), our method employs time-dependent transform…
From Time-Domain Data to Low-Dimensional Structured Models
Elliot Fosong, Philipp Schulze, Benjamin Unger
We present a framework for constructing a structured realization of a linear time-invariant dynamical system solely from a discrete sampling of an input and output trajectory of th…
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…
Model reduction for linear systems with low-rank switching
Philipp Schulze, Benjamin Unger
We introduce a novel model order reduction method for large-scale linear switched systems (LSS) where the coefficient matrices are affected by a low-rank switching. The key idea is…
Data-driven Structured Realization
Philipp Schulze, Benjamin Unger, Christopher Beattie +1
We present a framework for constructing structured realizations of linear dynamical systems having transfer functions of the form where $h_1,h_2,\…
The shifted proper orthogonal decomposition: A mode decomposition for multiple transport phenomena
Julius Reiss, Philipp Schulze, Jörn Sesterhenn +1
Transport-dominated phenomena provide a challenge for common mode-based model reduction approaches. We present a model reduction method, which is suited for these kind of systems.…