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20152026
most citedAn Operator Inference Oriented Approach for Mechanical Systems

20 citations · 67 across the 24 of their papers we have counts for

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8 papers · 1 filter

math.DS2026

On the Compatibility of DEIM Subspaces for Nonlinear Forces Reduction in Projective Dynamics

Shaimaa Monem Abdelhafez, Igor Pontes Duff, Peter Benner

In physics-based simulations, the evaluation of nonlinear constraint forces represents a primary source of computational complexity. Within the framework of projective dynamics, th…

math.DS2025

Reduced-Order Inference with Structure-Preserving Parametrization for Bending and Rotating Systems

Yevgeniya Filanova, Igor Pontes Duff, Pawan Goyal +1

Mechanical systems are often characterized only by their response to certain loads known from experiments or simulations. The obtained data can be used for various purposes: system…

math.DS2025

Application of operator inference to reduced-order modeling of constrained mechanical systems

Peter Benner, Yevgeniya Filanova, Igor Pontes Duff +1

Constrained mechanical systems occur in many applications, such as modeling of robots and other multibody systems. In this case, the motion is governed by a system of differential-…

math.DS2024★ 3 cited

Balanced Truncation of Descriptor Systems with a Quadratic Output

Jennifer Przybilla, Igor Pontes Duff, Pawan Goyal +1

This work discusses model reduction for differential-algebraic systems with quadratic output equations. Under mild conditions, these systems can be transformed into a Weierstraß ca…

math.DS2023★ 1 cited

Dominant Subspaces of High-Fidelity Nonlinear Structured Parametric Dynamical Systems and Model Reduction

Pawan Goyal, Igor Pontes Duff, Peter Benner

In this work, we investigate a model order reduction scheme for high-fidelity nonlinear structured parametric dynamical systems. More specifically, we consider a class of nonlinear…

math.DS2022★ 20 cited

An Operator Inference Oriented Approach for Mechanical Systems

Yevgeniya Filanova, Igor Pontes Duff, Pawan Goyal +1

Model-order reduction techniques allow the construction of low-dimensional surrogate models that can accelerate engineering design processes. Often, these techniques are intrusive,…

math.DS2022

Model reduction for second-order systems with inhomogeneous initial conditions

Jennifer Przybilla, Igor Pontes Duff, Peter Benner

In this paper, we consider the problem of finding surrogate models for large-scale second-order linear time-invariant systems with inhomogeneous initial conditions. For this class…

math.DS2020★ 2 cited

Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows

Peter Benner, Pawan Goyal, Jan Heiland +1

Reduced-order modeling has a long tradition in computational fluid dynamics. The ever-increasing significance of data for the synthesis of low-order models is well reflected in the…