Local Lagrange interpolation by quintic C1 splines on type-6 tetrahedral partitions

被引：0
|
作者：
Nuernberger, G. [1 ]
Rhein, M. [1 ]
Schneider, G. [1 ]
机构：
[1] Univ Mannheim, Inst Math, D-68131 Mannheim, Germany
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 236卷 / 04期
关键词：
Trivariate splines; Approximation order;
D O I：
10.1016/j.cam.2011.07.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop a Lagrange interpolation method for quintic C-1 splines on cube partitions with 24 tetrahedra in each cube. The construction of the interpolation points is based on a new priority principle by decomposing the tetrahedral partition into special classes of octahedra such that no tetrahedron has to be refined. It follows that the interpolation method is local and stable, and has optimal approximation order six and linear complexity. The interpolating splines are uniquely determined by data values, but no derivatives are needed. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：529 / 542
页数：14
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