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Adaptive Hierarchical Isogeometric Finite Element Methods

Authors: Vuong, Anh-Vu

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  • publication in the field of natural and mathematical sciences

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About this book

​Isogeometric finite elements combine the numerical solution of partial differential equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient adaptive simulation. Thereby a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method.

About the authors

Anh-Vu Vuong received his doctor’s degree under supervision of Prof. Dr. Bernd Simeon at the Centre for Mathematical Sciences of the TU Munich in the context of the research project EXCITING funded by the European Union. He now works at the Felix-Klein-Centre for Mathematics of the University of Kaiserslautern.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-8348-2445-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $84.99
price for USA in USD
  • ISBN 978-3-8348-2444-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Adaptive Hierarchical Isogeometric Finite Element Methods
Authors
Copyright
2012
Publisher
Vieweg+Teubner Verlag
Copyright Holder
Springer Spektrum Verlag | Springer Fachmedien Wiesbaden GmbH
eBook ISBN
978-3-8348-2445-5
DOI
10.1007/978-3-8348-2445-5
Softcover ISBN
978-3-8348-2444-8
Edition Number
1
Number of Pages
XX, 128
Number of Illustrations
43 b/w illustrations, 20 illustrations in colour
Topics