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Manifold Learning : Model Reduction in Engineering

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This Open Access book reviews recent theoretical and numerical developments in nonlinear model order reduction in continuum mechanics, being addressed to Master and PhD students, as well as to researchers, lecturers and instructors. The aim of the authors is to provide tools for a better understanding and implement reduced order models by using: physics-based models, synthetic data forecast by these models, experimental data and deep learning algorithms. The book involves a survey of key methods of model order reduction applied to model-based engineering and digital twining, by learning linear or nonlinear latent spaces.

Projection-based reduced order models are the projection of mechanical equations on a latent space that have been learnt from both synthetic data and experimental data. Various descriptions and representations of structured data for model reduction are presented in the applications and survey chapters. Image-based digital twins are developed in a reduced setting. Reduced order models of as-manufactured components predict the mechanical effects of shape variations. A similar workflow is extended to multiphysics or coupled problems, with high dimensional input fields. Practical techniques are proposed for data augmentation and also for hyper-reduction, which is a key point to speed up projection-based model order reduction of finite element models.



The book gives access to python libraries available on gitlab.com, which have been developed as part of the research program [FUI-25] MORDICUS funded by the French government. Similarly to deep learning for computer vision, deep learning for model order reduction circumvents the need to design parametric problems prior reducing models. Such an approach is highly relevant for image-base modelling or multiphysics modelling.

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Detail Information

Series Title

Manifold Learning : Model Reduction in Engineering

Call Number

001 RYC m

Publisher

Cham : Springer Cham., 2024

Collation

X, 107

Language

English

ISBN/ISSN

978-3-031-52764-7

Classification

001

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

-

Subject(s)

Machine Learning

Specific Detail Info

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Statement of Responsibility

David Ryckelynck, Fabien Casenave, Nissrine Akkari

Other Information

Cataloger

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Source

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Validator

Maya

Digital Object Identifier (DOI)

https://doi.org/10.1007/978-3-031-52764-7

Journal Volume

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Journal Issue

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Subtitle

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Parallel Title

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