Interpolation error estimates for the reduced Hsieh-Clough-Tocher triangle-Reference-Cited by-同舟云学术

Interpolation error estimates for the reduced Hsieh-Clough-Tocher triangle

Published:1978 Issue:142 Volume:32 Page:335-344
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Ciarlet Philippe G.

Abstract

We study the unisolvence and interpolation properties of the reduced Hsieh-Clough-Tocher triangle. This finite element of class C 1 {\mathcal {C}^1} , which has only nine degrees of freedom, can be used in the numerical approximation of plate problems.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1978-32-142/S0025-5718-1978-0482249-1/S0025-5718-1978-0482249-1.pdf

Reference13 articles.

1. Triangular elements in the finite element method;Bramble, James H.;Math. Comp.,1970

2. Sur l’élément de Clough et Tocher;Ciarlet, P. G.;Rev. Fran\c{c}aise Automat. Informat. Recherche Op\'{e}rationnelle S\'{e}r. Rouge,1974

3. S\'{e}minaire de Math\'{e}matiques Sup\'{e}rieures, No. 59 (\'{E}t\'{e} 1975);Ciarlet, Philippe G.,1976

4. Studies in Mathematics and its Applications, Vol. 4;Ciarlet, Philippe G.,1978

5. General Lagrange and Hermite interpolation in 𝑅ⁿ with applications to finite element methods;Ciarlet, P. G.;Arch. Rational Mech. Anal.,1972

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