Preserving general physical properties in model reduction of dynamical systems via constrained‐optimization projection-Reference-Cited by-同舟云学术

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Preserving general physical properties in model reduction of dynamical systems via constrained‐optimization projection

Published:2021-03-29 Issue:14 Volume:122 Page:3368-3399
ISSN:0029-5981
Container-title:International Journal for Numerical Methods in Engineering
language:en
Short-container-title:Int J Numer Methods Eng

Author:

Schein Alexander¹,Carlberg Kevin T.²³,Zahr Matthew J.⁴^ORCID

Affiliation:

1. Mechanics and High Performance Computing Group Technische Universität München München Germany

2. Mechanical Engineering and Applied Mathematics University of Washington Seattle Washington USA

3. Sandia National Laboratories Livermore California USA

4. Department of Aerospace and Mechanical Engineering University of Notre Dame Notre Dame Indiana USA

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/nme.6667

Reference32 articles.

1. A New Look at Proper Orthogonal Decomposition

2. Certified reduced basis approximation for parametrized partial differential equations and applications

3. Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders

4. Conservative model reduction for finite-volume models

5. Optimizing cubature for efficient integration of subspace deformations

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1. Uncertainty-Aware, Structure-Preserving Machine Learning Approach for Domain Shift Detection From Nonlinear Dynamic Responses of Structural Systems;ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering;2024-08-17

2. State-space reconstruction from partial observables using an invertible neural network with structure-preserving properties for nonlinear structural dynamics;Nonlinear Dynamics;2024-07-22

3. Data-driven Whitney forms for structure-preserving control volume analysis;Journal of Computational Physics;2024-01

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