Skip to main content

Nonconforming finite elements for curved regions

  • Conference paper
  • First Online:
Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 506))

  • 1228 Accesses

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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.

References

  1. R E Barnhill and J H Brown, Curved Nonconforming Elements for Plate Problems, Numerical Analysis Report No. 8, University of Dundee Mathematics Dept., 1975.

    Google Scholar 

  2. R E Barnhill and J A Gregory, Polynomial Interpolation to Boundary Data on Triangles, Math. Comp. 29, 726–735, 1975.

    Article  MathSciNet  MATH  Google Scholar 

  3. J. H Brown, Conforming and Nonconforming Finite Element Methods for Curved Regions, Ph.D. Thesis, University of Dundee (to appear).

    Google Scholar 

  4. P G Ciarlet, Conforming and Nonconforming Finite Element Methods for Solving the Plate Problem, Dundee Conference Proceedings, G A Watson (ed.), Springer-Verlag 1973.

    Google Scholar 

  5. P G Ciarlet, Numerical Analysis of the Finite Element Method, Séminaire de Mathématiques Supérieures, Université de Montréal, 1975.

    Google Scholar 

  6. B M Irons and A Razzaque, Experience with the Patch Test for Convergence of Finite Element Methods, The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A K Aziz (ed.), Academic Press, 1972.

    Google Scholar 

  7. R J Y McLeod and A R Mitchell, The Construction of Basis Functions for Curved Elements in the Finite Element Method, J.I.M.A. 10, 382–393, 1972.

    MATH  Google Scholar 

  8. L S D Morley, The Triangular Equilibrium Element in the Solution of Plate Bending Problems, Aero. Quart. 149–169, 1968.

    Google Scholar 

  9. L S D Morley, A Triangular Equilibrium Element with Linearly Varying Bending Moments for Plate Bending Problems, J Royal Aero. Soc., 71, 715–719, 1967.

    Article  Google Scholar 

  10. G Strang, Variational Crimes in the Finite Element Method (see Ref. 6). with Applications to Partial Differential Equations, A K Aziz (ed.), Academic Press, 1972.

    Google Scholar 

  11. G Strang and G J Fix, An Analysis of the Finite Element Method, Prentice-Hall, 1973.

    Google Scholar 

  12. B Fraeijs de Veubeke, Variational Prinoiples and the Patch Test, Int. Jour. Num. Meth. Eng., 8, 783–801, 1974.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

G. Alistair Watson

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Barnhill, R.E., Brown, J.H. (1976). Nonconforming finite elements for curved regions. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080110

Download citation

  • DOI: https://doi.org/10.1007/BFb0080110

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07610-0

  • Online ISBN: 978-3-540-38129-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics