Adaptive Hierarchical Isogeometric Finite Element Methods

  • Anh-Vu Vuong

Table of contents

  1. Front Matter
    Pages I-XIX
  2. Anh-Vu Vuong
    Pages 1-5
  3. Anh-Vu Vuong
    Pages 47-78
  4. Anh-Vu Vuong
    Pages 79-114
  5. Anh-Vu Vuong
    Pages 115-115
  6. Back Matter
    Pages 117-127

About this book

Introduction

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.

Keywords

Isogeometric Analysis Local Refinement for Isogeometric Analysis Mathematical Models and Finite Element Analysis Prerequisites form Applied Geometry and Spline Theory

Authors and affiliations

  • Anh-Vu Vuong
    • 1
  1. 1.KaiserslauternGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-8348-2445-5
  • Copyright Information Springer Spektrum Verlag | Springer Fachmedien Wiesbaden GmbH 2012
  • Publisher Name Vieweg+Teubner Verlag
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-8348-2444-8
  • Online ISBN 978-3-8348-2445-5
  • About this book