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Journal ArticleDOI

Interpolation polynomials on the triangle

Alexander Ženíšek
- 01 Aug 1970 - 
- Vol. 15, Iss: 4, pp 283-296
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This article is published in Numerische Mathematik.The article was published on 1970-08-01. It has received 138 citations till now. The article focuses on the topics: Orthogonal polynomials & Classical orthogonal polynomials.

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A numerical solution of the Navier-Stokes equations using the finite element technique

TL;DR: In this paper, two methods of finite element discretisation are presented, and a comparison of the effeciency of the methods associated with the solution of particular problems is made.
Journal ArticleDOI

Algorithm 526: Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points [E1]

TL;DR: A method of blvariate interpolation and smooth surface fitting is developed for z values given at points irregularly distributed in the x-y plane for Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points.
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Triangular Berstein-Be´zier patches

TL;DR: The C’ Powell-Sabin interpolants and the Clough-Tocher split are described, respectively, as well as the general case, Split Triangle Interpolants and Split Triangle square interpolants, which are described as follows:.
References
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On the finite element method

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A bivariate generalization of Hermite’s interpolation formula

TL;DR: In this paper, a bivariate osculatory interpolation polynomial was developed which not only agrees with f(x, y) in function values at each of the node points of a Cartesian grid but also enjoys the property that agreement in values of partial and mixed partial derivatives up to specified, arbitrary orders is obtainable at these points.