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Smooth macro-elements based on Clough-Tocher triangle splits
Authors:Peter Alfeld  Larry L. Schumaker
Affiliation:(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) Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA; e-mail: s@mars.cas.vanderbilt.edu , US
Abstract:Summary. Macro-elements of smoothness on Clough-Tocher triangle splits are constructed for all . 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. Received September 6, 2000 / Revised version received November 15, 2000 / Published online July 25, 2001
Keywords:Mathematics Subject Classification (1991): 65D05   65N30   41A15
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