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Tetrahedral Cm Interpolation by Rational Functions

Tetrahedral $C^m$ Interpolation by Rational Functions

Year:    2001

Author:    Guo-Liang Xu, Chuan I Chu, Wei-Min Xue

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 131–138

Abstract

A general local Cm(m0) tetrahedral interpolation scheme by polynomials of degree 4m+1 plus low order rational functions from the given data is proposed. The scheme can have either 4m+1 order algebraic precision if C2m data at vertices and Cm data on faces are given or k+E[k/3]+1 order algebraic precision if Ck(k2m) data are given at vertices. The resulted interpolant and its partial derivatives of up to order m are polynomials on the boundaries of the tetrahedra.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JCM-8964

Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 131–138

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Cm interpolation Rational functions Tetrahedra.

Author Details

Guo-Liang Xu Email

Chuan I Chu Email

Wei-Min Xue Email