Linear independence and stability of piecewise linear prewavelets on arbitrary triangulations

被引：14

作者：

Floater, MS ^{[1
]}

Quak, EG ^{[1
]}

机构：

[1] SINTEF Appl Math, N-0314 Oslo, Norway

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2000年 / 38卷 / 01期

关键词：

wavelet spaces; prewavelets; piecewise linear splines; triangulations; local support; stability;

D O I：

10.1137/S0036142998342628

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish linear independence and stability of certain piecewise linear prewavelets over arbitrary bounded triangulations. These prewavelets are natural generalizations of the locally supported element constructed by Kotyczka and Oswald for an infinite three-directional mesh.

引用

页码：58 / 79

页数：22

共 10 条

[1]

Chui C.K., 1988, CBMS NSF REGIONAL C, V54

[2] Swapping edges of arbitrary triangulations to achieve the optimal order of approximation [J].