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Finite Element Approximation with Hierarchical B-Splines

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Curves and Surfaces (Curves and Surfaces 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9213))

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Abstract

We review the definition of hierarchical spline spaces and their application to finite element methods. Then we discuss how hierarchical techniques can be implemented using the FEMB program package. Subdivision algorithms play a crucial role and lead to a very simple program structure. A numerical example illustrates the substantial gains in accuracy for the adaptive strategy, in particular for higher degree B-splines.

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Notes

  1. 1.

    Matlab ® is a registered trademark of The MathWorks, Inc., Natick, MA, U.S.A.

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Author information

Authors and Affiliations

  1. IMNG, Fachbereich Mathematik, Universität Stuttgart, Stuttgart, Germany

    Christian Apprich, Klaus Höllig, Jörg Hörner & Esfandiar Nava Yazdani

  2. Allianz AG, Stuttgart, Germany

    Andreas Keller

Authors
  1. Christian Apprich
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  2. Klaus Höllig
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  3. Jörg Hörner
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  4. Andreas Keller
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  5. Esfandiar Nava Yazdani
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Corresponding author

Correspondence to Klaus Höllig .

Editor information

Editors and Affiliations

  1. INRIA, Sophia Antipolis, Sophia Antipolis, France

    Jean-Daniel Boissonnat

  2. École Normale Supérieure, Paris, France

    Albert Cohen

  3. Arts Et Metiers ParisTech Lab de Sciences de l'Information, Paris, France

    Olivier Gibaru

  4. INSA de Rouen, LMI, Saint-Étienne-du-Rouvray, France

    Christian Gout

  5. Department of Mathematics, University of Oslo, Oslo, Norway

    Tom Lyche

  6. Université Joseph Fourier, Grenoble, France

    Marie-Laurence Mazure

  7. Department of Mathematics, Vanderbilt University, Nashville, Tennessee, USA

    Larry L. Schumaker

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Apprich, C., Höllig, K., Hörner, J., Keller, A., Nava Yazdani, E. (2015). Finite Element Approximation with Hierarchical B-Splines. In: Boissonnat, JD., et al. Curves and Surfaces. Curves and Surfaces 2014. Lecture Notes in Computer Science(), vol 9213. Springer, Cham. https://doi.org/10.1007/978-3-319-22804-4_1

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  • DOI: https://doi.org/10.1007/978-3-319-22804-4_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22803-7

  • Online ISBN: 978-3-319-22804-4

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