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© 2020

The Isogeometric Boundary Element Method

Book

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 90)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 1-12
  3. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 13-34
  4. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 35-71
  5. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 73-92
  6. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 93-102
  7. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 103-127
  8. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 129-149
  9. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 151-168
  10. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 169-183
  11. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 185-216
  12. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 217-228
  13. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 229-248
  14. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 249-259
  15. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 261-279
  16. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 281-305
  17. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 307-317
  18. Gernot Beer, Benjamin Marussig, Christian Duenser
    Pages 319-320
  19. Back Matter
    Pages 321-335

About this book

Introduction

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.

Keywords

isogeometric analysis boundary element method computer aided design time dependent problems viscous flow problems

Authors and affiliations

  1. 1.Institute of Structural AnalysisGraz University of TechnologyGrazAustria
  2. 2.Graz Center of Computational EngineeringGraz University of TechnologyGrazAustria
  3. 3.Institute of Structural AnalysisGraz University of TechnologyGrazAustria

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).

Bibliographic information

  • Book Title The Isogeometric Boundary Element Method
  • Authors Gernot Beer
    Benjamin Marussig
    Christian Duenser
  • Series Title Lecture Notes in Applied and Computational Mechanics
  • Series Abbreviated Title Lect.Notes in Applied (formerly:Lect.Notes Appl.Mechan.)
  • DOI https://doi.org/10.1007/978-3-030-23339-6
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-030-23338-9
  • Softcover ISBN 978-3-030-23341-9
  • eBook ISBN 978-3-030-23339-6
  • Series ISSN 1613-7736
  • Series E-ISSN 1860-0816
  • Edition Number 1
  • Number of Pages XIV, 335
  • Number of Illustrations 46 b/w illustrations, 189 illustrations in colour
  • Topics Solid Mechanics
    Mathematical Modeling and Industrial Mathematics
    Simulation and Modeling
  • Buy this book on publisher's site
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