Spline approximations on manifolds

被引：1

作者：

Demyanovich, Yu. K. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg, Russia

来源：

INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2006年 / 4卷 / 03期

关键词：

spline; local approximation; finite element method; smooth manifold; simplicial subdivision; evaluation of convergence; inequality of stability;

D O I：

10.1142/S0219691306001324

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A method of construction of the local approximations in the case of functions defined on n-dimensional (n >= 1) smooth manifold with boundary is proposed. In particular, spline and finite-element methods on manifold are discussed. Nondegenerate simplicial subdivision of the manifold is introduced and a simple method for evaluations of approach is examined (the evaluations axe optimal as to N-width of corresponding compact set).

引用

页码：383 / 403

页数：21

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