TETRAHEDRAL C~m INTERPOLATION BY RATIONAL FUNCTIONS

被引：0

作者：

Guo-liang Xu (State Key Laboratory of Scientific and Engineering Computing

机构：

来源：

JournalofComputationalMathematics | 2001年 / 02期

关键词：

Cm interpolation; Rational functions; Tetrahedra;

D O I：

暂无

中图分类号：

O241 [数值分析];

学科分类号：

070102 ;

摘要：

A general local Cm(m ≥ 0) 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 venices and Cm data on faces are given or k + E[k/.3] + 1 order algebraic precision if Ck (k ≤2m) data are given at venices. The resulted interpolant and its partial derivatives of up to order m are polynomials on the boundaries of the tetrahedra.

引用

页码：131 / 138

页数：8

共 4 条

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