C1 Quintic Splines on Type-4 Tetrahedral Partitions

被引：0
|
作者：
Larry L. Schumaker
Tatyana Sorokina
机构：
[1] Vanderbilt University,Center for Constructive Approximation, Department of Mathematics
来源：
Advances in Computational Mathematics | 2004年 / 21卷
关键词：
trivariate splines; tetrahedral partitions;
D O I：
暂无
中图分类号：
学科分类号：
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 C1 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.
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页码：421 / 444
页数：23
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