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Computational Mechanics with Neural Networks

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Release : 2021-02-26
Genre : Technology & Engineering
Kind : eBook
Book Rating : 113/5 ( reviews)

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Book Synopsis Computational Mechanics with Neural Networks by : Genki Yagawa

Download or read book Computational Mechanics with Neural Networks written by Genki Yagawa. This book was released on 2021-02-26. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how neural networks are applied to computational mechanics. Part I presents the fundamentals of neural networks and other machine learning method in computational mechanics. Part II highlights the applications of neural networks to a variety of problems of computational mechanics. The final chapter gives perspectives to the applications of the deep learning to computational mechanics.

Deep Learning in Computational Mechanics

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Release : 2021-08-05
Genre : Technology & Engineering
Kind : eBook
Book Rating : 873/5 ( reviews)

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Book Synopsis Deep Learning in Computational Mechanics by : Stefan Kollmannsberger

Download or read book Deep Learning in Computational Mechanics written by Stefan Kollmannsberger. This book was released on 2021-08-05. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a first course on deep learning in computational mechanics. The book starts with a short introduction to machine learning’s fundamental concepts before neural networks are explained thoroughly. It then provides an overview of current topics in physics and engineering, setting the stage for the book’s main topics: physics-informed neural networks and the deep energy method. The idea of the book is to provide the basic concepts in a mathematically sound manner and yet to stay as simple as possible. To achieve this goal, mostly one-dimensional examples are investigated, such as approximating functions by neural networks or the simulation of the temperature’s evolution in a one-dimensional bar. Each chapter contains examples and exercises which are either solved analytically or in PyTorch, an open-source machine learning framework for python.

Computational Mechanics with Deep Learning

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Release : 2022-10-31
Genre : Technology & Engineering
Kind : eBook
Book Rating : 472/5 ( reviews)

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Book Synopsis Computational Mechanics with Deep Learning by : Genki Yagawa

Download or read book Computational Mechanics with Deep Learning written by Genki Yagawa. This book was released on 2022-10-31. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for students, engineers, and researchers interested in both computational mechanics and deep learning. It presents the mathematical and computational foundations of Deep Learning with detailed mathematical formulas in an easy-to-understand manner. It also discusses various applications of Deep Learning in Computational Mechanics, with detailed explanations of the Computational Mechanics fundamentals selected there. Sample programs are included for the reader to try out in practice. This book is therefore useful for a wide range of readers interested in computational mechanics and deep learning.

Machine Learning, Low-Rank Approximations and Reduced Order Modeling in Computational Mechanics

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Release : 2019-09-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 098/5 ( reviews)

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Book Synopsis Machine Learning, Low-Rank Approximations and Reduced Order Modeling in Computational Mechanics by : Felix Fritzen

Download or read book Machine Learning, Low-Rank Approximations and Reduced Order Modeling in Computational Mechanics written by Felix Fritzen. This book was released on 2019-09-18. Available in PDF, EPUB and Kindle. Book excerpt: The use of machine learning in mechanics is booming. Algorithms inspired by developments in the field of artificial intelligence today cover increasingly varied fields of application. This book illustrates recent results on coupling machine learning with computational mechanics, particularly for the construction of surrogate models or reduced order models. The articles contained in this compilation were presented at the EUROMECH Colloquium 597, « Reduced Order Modeling in Mechanics of Materials », held in Bad Herrenalb, Germany, from August 28th to August 31th 2018. In this book, Artificial Neural Networks are coupled to physics-based models. The tensor format of simulation data is exploited in surrogate models or for data pruning. Various reduced order models are proposed via machine learning strategies applied to simulation data. Since reduced order models have specific approximation errors, error estimators are also proposed in this book. The proposed numerical examples are very close to engineering problems. The reader would find this book to be a useful reference in identifying progress in machine learning and reduced order modeling for computational mechanics.

Computational Mechanics for the Twenty-first Century

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Release : 2000
Genre : Science
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Computational Mechanics for the Twenty-first Century by : B. H. V. Topping

Download or read book Computational Mechanics for the Twenty-first Century written by B. H. V. Topping. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: Includes invited lectures presented at The Fifth International Conference on Computational Structures Technology and The Second International Conference on Engineering Computational Technology held in Belgium, September 2000. It includes contributions from: KJ Bathe, JL Chenot, D Chapelle, C Cinquini, M Cross, G De Roeck, and many others.

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