Error estimates for multilevel approximation using polyharmonic splines

被引：14

作者：

Hales, SJ ^{[1
]}

Levesley, J ^{[1
]}

机构：

[1] Univ Leicester, Dept Math & Comp Sci, Leicester LE1 7RH, Leics, England

来源：

NUMERICAL ALGORITHMS | 2002年 / 30卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

multilevel approximation; polyharmonic splines; convergence;

D O I：

10.1023/A:1015674607196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Polyharmonic splines are used to interpolate data in a stationary multilevel iterative refinement scheme. By using such functions the necessary tools are provided to obtain simple pointwise error bounds on the approximation. Linear convergence between levels is shown for regular data on a scaled multiinteger grid, and a multilevel domain decomposition method.

引用

页码：1 / 10

页数：10

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