Machine Learning in Modeling and Simulation : Methods and Applications

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Machine learning (ML) approaches have been extensively and successfully employed in various areas, like in economics, medical predictions, face recognition, credit card fraud detection, and spam filtering. There is clearly also the potential that ML techniques developed in Engineering and the Sciences will drastically increase the possibilities of analysis and accelerate the design to analysis time. With the use of ML techniques, coupled to conventional methods like finite element and digital twin technologies, new avenues of modeling and simulation can be opened but the potential of these ML techniques needs to still be fully harvested, with the methods developed and enhanced. The objective of this book is to provide an overview of ML in Engineering and the Sciences presenting fundamental theoretical ingredients with a focus on the next generation of computer modeling in Engineering and the Sciences in which the exciting aspects of machine learning are incorporated. The book is of value to any researcher and practitioner interested in research or applications of ML in the areas of scientific modeling and computer aided engineering.

Author(s): Timon Rabczuk; Klaus-Jürgen Bathe
Publisher: Springer International Publishing
Year: 2023

Language: English
Pages: 802

Cover
Front Matter
1. Machine Learning in Computer Aided Engineering
2. Artificial Neural Networks
3. Gaussian Processes
4. Machine Learning Methods for Constructing Dynamic Models From Data
5. Physics-Informed Neural Networks: Theory and Applications
6. Physics-Informed Deep Neural Operator Networks
7. Digital Twin for Dynamical Systems
8. Reduced Order Modeling
9. Regression Models for Machine Learning
10. Overview on Machine Learning Assisted Topology Optimization Methodologies
11. Mixed-Variable Concurrent Material, Geometry, and Process Design in Integrated Computational Materials Engineering
12. Machine Learning Interatomic Potentials: Keys to First-Principles Multiscale Modeling