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Numerische Mathematik

, Volume 90, Issue 4, pp 597–616 | Cite as

Smooth macro-elements based on Clough-Tocher triangle splits

  • Peter Alfeld
  • Larry L. Schumaker
Original article

Summary. Macro-elements of smoothness \(C^r\) on Clough-Tocher triangle splits are constructed for all \(r \ge 0\). These new elements are improvements on elements constructed in [11] in that (disproving a conjecture made there) certain unneeded degrees of freedom have been removed. Numerical experiments on Hermite interpolation with the new elements are included.

Mathematics Subject Classification (1991): 65D05, 65N30, 41A15 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Peter Alfeld
    • 1
  • Larry L. Schumaker
    • 2
  1. 1.Department of Mathematics, University of Utah, 155 South 1400 East, JWB 233, Salt Lake City, UT 84112-0090, USA; e-mail: alfeld@math.utah.edu US
  2. 2.Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA; e-mail: s@mars.cas.vanderbilt.edu US

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