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Lecture Notes in Applied and Computational Mechanics

The Isogeometric Boundary Element Method

Authors: Beer, Gernot, Marussig, Benjamin, Duenser, Christian

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  • Intended for mathematicians, engineers, graduate students and practitioners working on and using boundary element methods
  • Presents numerous examples demonstrating the superiority of the isogeometric BEM (IGABEM) over the conventional BEM
  • The only book on the market dealing with this special topic
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eBook 71,39 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-23339-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 119,99 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-23338-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.

About the authors

Gernot Beer is emeritus Professor at Graz University of Technology, Austria. He has been very active in promoting the Boundary Element Method and wrote 3 books on the topic, one published with Springer: The Boundary Element Method with Programming (2008).

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook 71,39 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-23339-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 119,99 €
price for Korea, Republic of (South Korea) (gross)
  • ISBN 978-3-030-23338-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Isogeometric Boundary Element Method
Authors
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
90
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-23339-6
DOI
10.1007/978-3-030-23339-6
Hardcover ISBN
978-3-030-23338-9
Series ISSN
1613-7736
Edition Number
1
Number of Pages
XIV, 335
Number of Illustrations
46 b/w illustrations, 189 illustrations in colour
Topics