TY  - BOOK
AU  - Ryckelynck,David
AU  - Casenave,Fabien
AU  - Akkari,Nissrine
ED  - SpringerLink (Online service)
TI  - Manifold Learning: Model Reduction in Engineering 
T2  - SpringerBriefs in Computer Science,
SN  - 9783031527647
AV  - Q325.5-.7 
U1  - 006.31 23
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Springer
KW  - Machine learning
KW  - Stochastic models
KW  - Thermodynamics
KW  - Heat engineering
KW  - Heat transfer
KW  - Mass transfer
KW  - Industrial engineering
KW  - Production engineering
KW  - Mathematical physics
KW  - Machine Learning
KW  - Statistical Learning
KW  - Stochastic Modelling
KW  - Engineering Thermodynamics, Heat and Mass Transfer
KW  - Industrial and Production Engineering
KW  - Mathematical Methods in Physics
N1  - Structured Data and Knowledge in Model-based Engineering -- Learning Projection-based Reduced-order Models -- Error Estimation -- Resources: Software and Tutorials -- Industrial Application: Uncertainty Quantification in Lifetime Prediction of Turbine Blades -- Applications and Extensions: A Survey of Literature; Open Access
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-52764-7
ER  -