Skip to main content

Blending-Splines auf Dreiecksnetzen

  • Chapter
Multivariate Approximation Theory II

Zusammenfassung

Die üblichen Konstruktionen für Blending-Splines auf Dreiecksnetzen benutzen die Technik der Boole’schen Summen und sind demzufolge recht kompliziert (vgl. [1], [2], [3]), entsprechend auch Fehleranalyse und Konvergenzbeweise, ihre Realisierung auf dem Rechner ist zeitaufwendig.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literatur

  • Barnhill, R. E., Birkhoff, G., Gordon, W. J. (1973) Smooth Interpolation in Triangles, Journal of Approximation Theory, 8, 114–128

    Article  MathSciNet  MATH  Google Scholar 

  • Barnhill, R. E., Mansfield, N. (1974) Error Bounds for Smooth Interpolation in Triangles, Journal of Approximation Theory, 11, 306–318

    Article  MathSciNet  MATH  Google Scholar 

  • Böhmer, K., Coman, Gh. (1977) Blending Interpolation Schemes on Triangles with Error Bounds, in: Zeller, K., Schempp, W. (eds.): Constructive Theory of Functions of Several Variables, Lecture Notes in Mathematics 571, Berlin

    Google Scholar 

  • Nielson, G. M. (1979) The Side-Vertex-Method for Interpolation in Triangles, Journal of Approximation Theory, 25, 318–336

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Birkhäuser Verlag Basel

About this chapter

Cite this chapter

Engels, H., Merschen, A. (1982). Blending-Splines auf Dreiecksnetzen. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory II. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 61. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7189-1_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-7189-1_12

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-7191-4

  • Online ISBN: 978-3-0348-7189-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics