3 papers
cs.CE2026
Uncertainty-Aware Calculation of Analytical Gradients of Matrix-Interpolatory Reduced-Order Models for Efficient Structural Optimization
Marcel Warzecha, Sebastian Resch-Schopper, Gerhard Müller
This paper presents an adaptive sampling algorithm tailored for the optimization of parametrized dynamical systems using projection-based model order reduction. Unlike classical sa…
math.NA2025
Consistent Parametric Model Order Reduction by Matrix Interpolation for Varying Underlying Meshes
Sebastian Resch-Schopper, Romain Rumpler, Gerhard Müller
Parametric model order reduction (pMOR) is a powerful tool for accelerating finite element (FE) simulations while maintaining parametric dependencies. For geometric parameters, pMO…
math.DS2025
Inconsistency Removal of Reduced Bases in Parametric Model Order Reduction by Matrix Interpolation using Adaptive Sampling and Clustering
Sebastian Resch-Schopper, Romain Rumpler, Gerhard Müller
Parametric model order reduction by matrix interpolation allows for efficient prediction of the behavior of dynamic systems without requiring knowledge about the underlying paramet…