Basis functions for general Hsieh-Clough-Tocher triangles, complete or reduced
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چکیده
منابع مشابه
Interpolation Error Estimates for the Reduced Hsieh - Clough - Tocher Triangle
We study the unisolvence and interpolation properties of the reduced Hsieh-Clough-Tocher triangle. This finite element of class C , which has only nine degrees of freedom, can be used in the numerical approximation of plate problems. Introduction; Main Notation. The space R" is equipped with the Euclidean norm | • | and inner-product <•,•>. If B is a subset of R", we let hB = diameter of B, pB ...
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We show that in dimensions four and higher, to insure a smooth interpolant, additional geometric constraints must be imposed on the generalized Clough–Tocher split introduced in Worsey and Farin (Constr. Approx. 3:99–110, 1987).
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 1981
ISSN: 0029-5981,1097-0207
DOI: 10.1002/nme.1620170510