منابع مشابه
A C1 Multivariate Clough–Tocher Interpolant
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).
متن کاملCubic precision Clough-Tocher interpolation
The standard Clough-Tocher split-domain scheme constructs a surface element with quadratic precision. In this paper, I will look at methods for improving the degrees of freedom in Clough-Tocher schemes. In particular , I will discuss modiications to the cross-boundary construction that improve the interpolant from quadratic precision to cubic precision. In the general scattered data interpolati...
متن کاملSimplex–Splines on the Clough–Tocher Element
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متن کاملInterpolation 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 ...
متن کاملA trivariate clough-tocher scheme for tetrahedral data
An interpolation scheme is described for values of position, gradient and Hessian at scattered points in three variables. The domain is assumed to have been tesselated into tetrahedra. The interpolant has local support, is globally once differentiable, piecewise polynomial, and reproduces polynomials of degree up to three exactly. The scheme has been implemented in a FORTRAN research code. AMS ...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 1992
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/1992260102011