Some remarks on interpolation and best approximation

被引：3

作者：

Bank, Randolph E. ^{[1
]}

Ovall, Jeffrey S. ^{[2
]}

机构：

[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

[2] Portland State Univ, Fariborz Maseeh Dept Math & Stat, Portland, OR 97201 USA

来源：

NUMERISCHE MATHEMATIK | 2017年 / 137卷 / 02期

基金：

美国国家科学基金会;

关键词：

65N15; 65N30; 65N50;

D O I：

10.1007/s00211-017-0877-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions are provided for establishing equivalence between best approximation error and projection/interpolation error in finite-dimensional vector spaces for general (semi)norms. The results are applied to several standard finite element spaces, modes of interpolation and (semi)norms, and a numerical study of the dependence on polynomial degree of constants appearing in our estimates is provided.

引用

页码：289 / 302

页数：14

共 12 条

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