C1 quintic splines on type-4 tetrahedral partitions

被引：16

作者：

Schumaker, LL ^{[1
]}

Sorokina, T ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Ctr Construct Approximat, Nashville, TN 37240 USA

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2004年 / 21卷 / 3-4期

关键词：

trivariate splines; tetrahedral partitions;

D O I：

10.1023/B:ACOM.0000032045.03775.8d

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting with a partition of a rectangular box into subboxes, it is shown how to construct a natural tetrahedral (type-4) partition and associated trivariate C-1 quintic polynomial spline spaces with a variety of useful properties, including stable local bases and full approximation power. It is also shown how the spaces can be used to solve certain Hermite and Lagrange interpolation problems.

引用

页码：421 / 444

页数：24

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