Partition of Unity Methods

Name: Partition of Unity Methods
Brand: Unknown
SKU: 9780470667088
Price: 190.99 NZD
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By Alexander Menk and Sundararajan Natarajan and Stéphane P. A. Bordas

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Summary

Partition of Unity Methods delves into computational techniques that enhance numerical solutions for complex problems in science and nature. The authors explore the use of advanced mathematical frameworks to tackle challenges in engineering and physical sciences, offering insight into their practical applications. This book is essential for understanding innovative approaches to problem-solving in computational mechanics.
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Format: Hardback

$190⁹⁹

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Partition of Unity Methods

$190⁹⁹

Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

You might enjoy this book if you have an interest in advanced computational methods and their applications in solving complex engineering problems. It provides comprehensive insight into the technique of partition of unity, which is crucial for both researchers and practitioners in applied mathematics and engineering fields.

Partition of Unity Methods

An understanding of the extended finite element method (XFEM) is critical for users, developers, researchers, and engineers working on industrial products. The first guide to the foundations of XFEM and its implementation, this book demystifies the theory behind this method and makes it accessible to anyone with previous knowledge of FEM.

Description

PARTITION OF UNITY METHODS

Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field.

While it is the number one tool for computer-aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods address these challenges and are now increasingly implemented in commercially available software. Partition of Unity Methods delivers a detailed overview of its fundamentals, in particular the extended finite element method (XFEM) for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher-dimensional problems. This book allows readers to fully understand and utilise XFEM just as it becomes ever more crucial to industry practice.

Partition of Unity Methods explores all essential topics on this key new technology, including:

Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM
The basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector
An introduction to the fundamentals of enrichment
A revisitation of the partition of unity enrichment
A description of the geometry of enrichment features, with discussions of level sets for stationary interfaces
Application of XFEM to bio-film, gradient theories, and three-dimensional crack propagation

Perfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book.

Book Details

INFORMATION

ISBN: 9780470667088

Publisher: John Wiley & Sons Inc

Format: Hardback

Date Published: 24 November 2023

Country: United States

Imprint: John Wiley & Sons Inc

Audience: Professional and scholarly

DIMENSIONS

Spine width: 26.0mm

Width: 168.0mm

Height: 244.0mm

Weight: 992g

Pages: 368

Collections

Alexander Menk Education & Reference Engineering, Technology & Agriculture Non-Fiction Science & Nature Stéphane P. A. Bordas Sundararajan Natarajan

About the Author

Stéphane P. A. Bordas is a Professor in Computational Mechanics and earned his PhD from Northwestern University, USA, in 2004. He has published over 200 papers in unfitted simulation of free boundary problems and data driven modelling of complex systems. He has supervised over 30 PhD students and is Editor- in-Chief of Advances in Applied Mechanics.

Alexander Menk is employed by Bosch GmbH. He is a PhD graduate from Glasgow University, UK, supervised by Prof. Bordas. His contributions range from automatic numerically determined enrichment to preconditioners for extended finite element methods for fracture.

Sundararajan Natarajan has been a Professor of Computational Mechanics since 2014 and earned his PhD from Cardiff University, UK, supervised by Prof. Bordas and Prof. Kerfriden. He has made strong contributions to a number of methods on unfitted methods for free boundary problems, in particular on numerical integration and strain smoothing.