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Adaptive Hierarchical Isogeometric Finite Element Methods

  • Book
  • © 2012

Overview

Authors:
  1. Anh-Vu Vuong

    1. Kaiserslautern, Germany

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  • publication in the field of natural and mathematical sciences

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XIX
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  2. Introduction

    • Anh-Vu Vuong
    Pages 1-5

  3. Prerequisites from Applied Geometry and Spline Theory

    • Anh-Vu Vuong
    Pages 7-18

  4. Mathematical Modelling and Finite Element Analysis

    • Anh-Vu Vuong
    Pages 19-45

  5. Isogeometric Analysis

    • Anh-Vu Vuong
    Pages 47-78

  6. Local Refinement for Isogeometric Analysis

    • Anh-Vu Vuong
    Pages 79-114

  7. Conclusions

    • Anh-Vu Vuong
    Pages 115-115

  8. Back Matter

    Pages 117-127
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Keywords

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.

Authors and Affiliations

  • Kaiserslautern, Germany

    Anh-Vu Vuong

About the author

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.

Bibliographic Information

  • Book Title: Adaptive Hierarchical Isogeometric Finite Element Methods

  • Authors: Anh-Vu Vuong

  • DOI: https://doi.org/10.1007/978-3-8348-2445-5

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Spektrum Verlag | Springer Fachmedien Wiesbaden GmbH 2012

  • Softcover ISBN: 978-3-8348-2444-8Published: 11 May 2012

  • eBook ISBN: 978-3-8348-2445-5Published: 01 May 2012

  • Edition Number: 1

  • Number of Pages: XX, 128

  • Number of Illustrations: 43 b/w illustrations, 20 illustrations in colour

  • Topics: Mathematics, general

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