# A Sensitivity Study of Error Estimation in Reduced Elastic Multibody Systems

@article{Fehr2018ASS, title={A Sensitivity Study of Error Estimation in Reduced Elastic Multibody Systems}, author={J{\"o}rg Fehr and Dennis Grunert and Ashish Bhatt and Bernard Haasdonk}, journal={IFAC-PapersOnLine}, year={2018}, volume={51}, pages={202-207} }

## 5 Citations

A Posteriori Error Estimation in Model Order Reduction of Elastic Multibody Systems with Large Rigid Motion

- MathematicsIUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018
- 2019

We consider the equation of motion of an elastic multibody system in absolute coordinate formulation (ACF). The resulting nonlinear second order DAE of index two has a unique solution and is reduced…

Error Estimation for the Simulation of Elastic Multibody Systems

- Computer SciencePAMM
- 2018

The error bounds used in elastic multibody system (EMBS) described in the floating frame of reference formulation are reviewed, with a view to evaluating substructures / surrogate models for system level simulations.

Well‐scaled, a‐posteriori error estimation for model order reduction of large second‐order mechanical systems

- Computer ScienceZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- 2020

The spectral theorem, power series expansions, monotonicity properties, and self‐tailored algorithms are used to largely speed up the offline phase by one polynomial order both in terms of computation time as well as storage complexity.

Geometric Model Order Reduction

- Mathematics
- 2018

During the past decade, model order reduction (MOR) has been successfully applied to reduce the computational complexity of elliptic and parabolic systems of partial differential equations (PDEs).…

Symplectic Model-Reduction with a Weighted Inner Product

- Mathematics
- 2018

In the recent years, considerable attention has been paid to preserving structures and invariants in reduced basis methods, in order to enhance the stability and robustness of the reduced system. In…

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